##############ECHO OF PROBLEM################# ##############temp/lin_arcsin_m0d2_m0d5postode.ode################# diff ( y , x , 1 ) = arcsin ( x + 0.0001 ) ; ! // BEGIN FIRST INPUT BLOCK max_terms=30; Digits=32; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-0.2); x_end=c(-0.5); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_display_interval=0.0001; glob_type_given_pole=0; // 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(x) + c(0.0001)) * arcsin(c(x) + c(0.0001)) + sqrt(c(1.0) - (c(x) + c(0.0001)) * (c(x) +c(0.0001)))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -0.201 y[1] (closed_form) = 1.02024911677731 y[1] (numeric) = 1.020249116741842 absolute error = 3.546829496769988e-11 relative error = 3.476434763279638e-09 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 11 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.202 y[1] (closed_form) = 1.02045190378497 y[1] (numeric) = 1.020451903713834 absolute error = 7.113598599062243e-11 relative error = 6.971027809029616e-09 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 11 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.203 y[1] (closed_form) = 1.020655711819614 y[1] (numeric) = 1.02065571171261 absolute error = 1.070035171579775e-10 relative error = 1.048380133661456e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.204 y[1] (closed_form) = 1.020860541096747 y[1] (numeric) = 1.020860540953676 absolute error = 1.430715546035799e-10 relative error = 1.401479916638496e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.205 y[1] (closed_form) = 1.021066391833078 y[1] (numeric) = 1.021066391653738 absolute error = 1.793400983274296e-10 relative error = 1.756399973222777e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.206 y[1] (closed_form) = 1.02127326424652 y[1] (numeric) = 1.02127326403071 absolute error = 2.158098144633414e-10 relative error = 2.1131446598924e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.207 y[1] (closed_form) = 1.021481158556193 y[1] (numeric) = 1.021481158303712 absolute error = 2.524807030113152e-10 relative error = 2.471711797094552e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.208 y[1] (closed_form) = 1.021690074982424 y[1] (numeric) = 1.021690074693071 absolute error = 2.893534301051659e-10 relative error = 2.832105715719549e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.209 y[1] (closed_form) = 1.021900013746755 y[1] (numeric) = 1.021900013420327 absolute error = 3.264282177894984e-10 relative error = 3.194326386127176e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.21 y[1] (closed_form) = 1.022110975071937 y[1] (numeric) = 1.022110974708232 absolute error = 3.637055101535225e-10 relative error = 3.558375939832995e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.211 y[1] (closed_form) = 1.02232295918194 y[1] (numeric) = 1.022322958780755 absolute error = 4.011857512864481e-10 relative error = 3.924256495300426e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.212 y[1] (closed_form) = 1.02253596630195 y[1] (numeric) = 1.022535965863081 absolute error = 4.38869385277485e-10 relative error = 4.291970157926836e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.213 y[1] (closed_form) = 1.022749996658373 y[1] (numeric) = 1.022749996181616 absolute error = 4.767564121266332e-10 relative error = 4.661514677920681e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.214 y[1] (closed_form) = 1.022965050478838 y[1] (numeric) = 1.022965049963991 absolute error = 5.148474979677076e-10 relative error = 5.032894307842808e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.215 y[1] (closed_form) = 1.0231811279922 y[1] (numeric) = 1.023181127439057 absolute error = 5.531430868899179e-10 relative error = 5.406111115197727e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.216 y[1] (closed_form) = 1.023398229428538 y[1] (numeric) = 1.023398228836895 absolute error = 5.91643622982474e-10 relative error = 5.781167154381786e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.217 y[1] (closed_form) = 1.023616355019164 y[1] (numeric) = 1.023616354388815 absolute error = 6.303493282899808e-10 relative error = 6.158062297453028e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.218 y[1] (closed_form) = 1.023835504996619 y[1] (numeric) = 1.023835504327359 absolute error = 6.692604248570433e-10 relative error = 6.536796405192584e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.219 y[1] (closed_form) = 1.02405567959468 y[1] (numeric) = 1.024055678886302 absolute error = 7.083775788174762e-10 relative error = 6.917373663684493e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.22 y[1] (closed_form) = 1.024276879048359 y[1] (numeric) = 1.024276878300658 absolute error = 7.477012342604894e-10 relative error = 7.299796076185651e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.221 y[1] (closed_form) = 1.024499103593908 y[1] (numeric) = 1.024499102806676 absolute error = 7.872318352752927e-10 relative error = 7.684065632792748e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.222 y[1] (closed_form) = 1.024722353468821 y[1] (numeric) = 1.024722352641851 absolute error = 8.269693818618862e-10 relative error = 8.070179976678417e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.223 y[1] (closed_form) = 1.024946628911834 y[1] (numeric) = 1.024946628044919 absolute error = 8.669147621986895e-10 relative error = 8.458145407230386e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.224 y[1] (closed_form) = 1.02517193016293 y[1] (numeric) = 1.025171929255863 absolute error = 9.070677542410976e-10 relative error = 8.847957377226839e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.225 y[1] (closed_form) = 1.025398257463342 y[1] (numeric) = 1.025398256515913 absolute error = 9.474294682121354e-10 relative error = 9.239624324659099e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.226 y[1] (closed_form) = 1.025625611055553 y[1] (numeric) = 1.025625610067554 absolute error = 9.879999041118026e-10 relative error = 9.633143843736241e-08 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 10 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.227 y[1] (closed_form) = 1.0258539911833 y[1] (numeric) = 1.025853990154521 absolute error = 1.028779506029309e-09 relative error = 1.002851784826254e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.228 y[1] (closed_form) = 1.026083398091576 y[1] (numeric) = 1.026083397021807 absolute error = 1.069769162143075e-09 relative error = 1.042575256682596e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.229 y[1] (closed_form) = 1.026313832026633 y[1] (numeric) = 1.026313830915665 absolute error = 1.110968650408495e-09 relative error = 1.082484339331855e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.23 y[1] (closed_form) = 1.026545293235985 y[1] (numeric) = 1.026545292083606 absolute error = 1.152378859003989e-09 relative error = 1.122579652936051e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.231 y[1] (closed_form) = 1.026777781968407 y[1] (numeric) = 1.026777780774408 absolute error = 1.193999787929556e-09 relative error = 1.162860950926083e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.232 y[1] (closed_form) = 1.027011298473946 y[1] (numeric) = 1.027011297238114 absolute error = 1.235832325363617e-09 relative error = 1.203328850617283e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.233 y[1] (closed_form) = 1.027245843003912 y[1] (numeric) = 1.027245841726036 absolute error = 1.277876693350777e-09 relative error = 1.243983319138055e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.234 y[1] (closed_form) = 1.027481415810892 y[1] (numeric) = 1.027481414490758 absolute error = 1.32013311393564e-09 relative error = 1.284824322485469e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.235 y[1] (closed_form) = 1.027718017148743 y[1] (numeric) = 1.02771801578614 absolute error = 1.362602697341231e-09 relative error = 1.325852689750033e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.236 y[1] (closed_form) = 1.027955647272601 y[1] (numeric) = 1.027955645867316 absolute error = 1.40528499947834e-09 relative error = 1.367067736051531e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.237 y[1] (closed_form) = 1.028194306438881 y[1] (numeric) = 1.0281943049907 absolute error = 1.448181130569992e-09 relative error = 1.408470287669382e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.238 y[1] (closed_form) = 1.028433994905283 y[1] (numeric) = 1.028433993413992 absolute error = 1.491291312660792e-09 relative error = 1.450060305326777e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.239 y[1] (closed_form) = 1.028674712930788 y[1] (numeric) = 1.028674711396172 absolute error = 1.534615989839949e-09 relative error = 1.491837964469534e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.24 y[1] (closed_form) = 1.028916460775667 y[1] (numeric) = 1.028916459197511 absolute error = 1.578155828241279e-09 relative error = 1.533803655013507e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.241 y[1] (closed_form) = 1.02915923870148 y[1] (numeric) = 1.029159237079569 absolute error = 1.621910827864781e-09 relative error = 1.57595711807552e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.242 y[1] (closed_form) = 1.029403046971083 y[1] (numeric) = 1.029403045305201 absolute error = 1.665881876888875e-09 relative error = 1.618298956653148e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.243 y[1] (closed_form) = 1.029647885848625 y[1] (numeric) = 1.029647884138556 absolute error = 1.710069197358166e-09 relative error = 1.660829125044767e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2440000000000001 y[1] (closed_form) = 1.029893755599556 y[1] (numeric) = 1.029893753845082 absolute error = 1.754473233361864e-09 relative error = 1.703547792015199e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2450000000000001 y[1] (closed_form) = 1.030140656490625 y[1] (numeric) = 1.03014065469153 absolute error = 1.799094651033784e-09 relative error = 1.746455340538398e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2460000000000001 y[1] (closed_form) = 1.030388588789888 y[1] (numeric) = 1.030388586945954 absolute error = 1.843933894463134e-09 relative error = 1.789551936545311e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2470000000000001 y[1] (closed_form) = 1.030637552766707 y[1] (numeric) = 1.030637550877716 absolute error = 1.888991185694522e-09 relative error = 1.832837529181425e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2480000000000001 y[1] (closed_form) = 1.030887548691755 y[1] (numeric) = 1.030887546757487 absolute error = 1.934267412906365e-09 relative error = 1.876312712633926e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2490000000000001 y[1] (closed_form) = 1.031138576837016 y[1] (numeric) = 1.031138574857253 absolute error = 1.979762576098665e-09 relative error = 1.919977217971538e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2500000000000001 y[1] (closed_form) = 1.031390637475792 y[1] (numeric) = 1.031390635450314 absolute error = 2.025477341405235e-09 relative error = 1.963831421198815e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2510000000000001 y[1] (closed_form) = 1.031643730882702 y[1] (numeric) = 1.031643728811289 absolute error = 2.071412374959891e-09 relative error = 2.007875696765526e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2520000000000001 y[1] (closed_form) = 1.031897857333688 y[1] (numeric) = 1.03189785521612 absolute error = 2.117568342896448e-09 relative error = 2.052110417564015e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2530000000000001 y[1] (closed_form) = 1.032153017106017 y[1] (numeric) = 1.032153014942072 absolute error = 2.163945245214904e-09 relative error = 2.096535309543775e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2540000000000001 y[1] (closed_form) = 1.032409210478282 y[1] (numeric) = 1.032409208267738 absolute error = 2.210543748049076e-09 relative error = 2.141150742954921e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2550000000000001 y[1] (closed_form) = 1.032666437730406 y[1] (numeric) = 1.032666435473042 absolute error = 2.257364295488173e-09 relative error = 2.185956871465105e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2560000000000001 y[1] (closed_form) = 1.03292469914365 y[1] (numeric) = 1.032924696839242 absolute error = 2.304407775710615e-09 relative error = 2.230954277326404e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2570000000000001 y[1] (closed_form) = 1.033183995000606 y[1] (numeric) = 1.033183992648932 absolute error = 2.351674188716402e-09 relative error = 2.276142681357567e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2580000000000001 y[1] (closed_form) = 1.033444325585209 y[1] (numeric) = 1.033444323186045 absolute error = 2.399164422683953e-09 relative error = 2.321522662892727e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2590000000000001 y[1] (closed_form) = 1.033705691182736 y[1] (numeric) = 1.033705688735857 absolute error = 2.446878477613268e-09 relative error = 2.367093940262263e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2600000000000001 y[1] (closed_form) = 1.033968092079809 y[1] (numeric) = 1.033968089584992 absolute error = 2.494817463727372e-09 relative error = 2.412857304628318e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2610000000000001 y[1] (closed_form) = 1.034231528564401 y[1] (numeric) = 1.034231526021419 absolute error = 2.542981825115476e-09 relative error = 2.458812901058379e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2620000000000001 y[1] (closed_form) = 1.034496000925833 y[1] (numeric) = 1.034495998334461 absolute error = 2.591371561777578e-09 relative error = 2.504960443982773e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2630000000000001 y[1] (closed_form) = 1.034761509454786 y[1] (numeric) = 1.034761506814798 absolute error = 2.639987561892099e-09 relative error = 2.551300505256621e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2640000000000001 y[1] (closed_form) = 1.035028054443295 y[1] (numeric) = 1.035028051754464 absolute error = 2.688830491592853e-09 relative error = 2.597833440407642e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2650000000000001 y[1] (closed_form) = 1.035295636184759 y[1] (numeric) = 1.035295633446858 absolute error = 2.737900572924445e-09 relative error = 2.644559174434538e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2660000000000001 y[1] (closed_form) = 1.035564254973941 y[1] (numeric) = 1.035564252186742 absolute error = 2.787198472020691e-09 relative error = 2.691478060036776e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2670000000000001 y[1] (closed_form) = 1.035833911106971 y[1] (numeric) = 1.035833908270246 absolute error = 2.836725077060009e-09 relative error = 2.738590662694629e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2680000000000001 y[1] (closed_form) = 1.036104604881351 y[1] (numeric) = 1.036104601994871 absolute error = 2.886480388042401e-09 relative error = 2.785896688851164e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2690000000000001 y[1] (closed_form) = 1.036376336595958 y[1] (numeric) = 1.036376333659493 absolute error = 2.936465071101679e-09 relative error = 2.833396486788458e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2700000000000001 y[1] (closed_form) = 1.036649106551044 y[1] (numeric) = 1.036649103564364 absolute error = 2.986680014416265e-09 relative error = 2.881090617396102e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2710000000000001 y[1] (closed_form) = 1.036922915048244 y[1] (numeric) = 1.036922912011119 absolute error = 3.037125217986159e-09 relative error = 2.928978783196098e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2720000000000001 y[1] (closed_form) = 1.037197762390578 y[1] (numeric) = 1.037197759302776 absolute error = 3.087801569989779e-09 relative error = 2.977061542123734e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2730000000000001 y[1] (closed_form) = 1.03747364888245 y[1] (numeric) = 1.03747364574374 absolute error = 3.138709736560941e-09 relative error = 3.025339236270635e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2740000000000001 y[1] (closed_form) = 1.037750574829658 y[1] (numeric) = 1.037750571639808 absolute error = 3.189849939744249e-09 relative error = 3.073811778199061e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2750000000000001 y[1] (closed_form) = 1.038028540539393 y[1] (numeric) = 1.03802853729817 absolute error = 3.241223289762729e-09 relative error = 3.122479934972196e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2760000000000001 y[1] (closed_form) = 1.038307546320244 y[1] (numeric) = 1.038307543027415 absolute error = 3.29282978661638e-09 relative error = 3.171343402334067e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2770000000000001 y[1] (closed_form) = 1.038587592482201 y[1] (numeric) = 1.038587589137531 absolute error = 3.344670096439017e-09 relative error = 3.220402516503524e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2780000000000001 y[1] (closed_form) = 1.038868679336658 y[1] (numeric) = 1.038868675939913 absolute error = 3.39674510740906e-09 relative error = 3.269657825836045e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2790000000000001 y[1] (closed_form) = 1.039150807196417 y[1] (numeric) = 1.039150803747362 absolute error = 3.449055041571114e-09 relative error = 3.319109235815841e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2800000000000001 y[1] (closed_form) = 1.039433976375692 y[1] (numeric) = 1.039433972874091 absolute error = 3.501600787103598e-09 relative error = 3.368757291649262e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2810000000000001 y[1] (closed_form) = 1.03971818719011 y[1] (numeric) = 1.039718183635728 absolute error = 3.554382566051117e-09 relative error = 3.418601896016662e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2820000000000001 y[1] (closed_form) = 1.04000343995672 y[1] (numeric) = 1.040003436349318 absolute error = 3.607401488636697e-09 relative error = 3.468643804473204e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2830000000000001 y[1] (closed_form) = 1.040289734993989 y[1] (numeric) = 1.040289731333331 absolute error = 3.660657554860336e-09 relative error = 3.518882703270631e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2840000000000001 y[1] (closed_form) = 1.040577072621812 y[1] (numeric) = 1.04057706890766 absolute error = 3.71415187494506e-09 relative error = 3.569319344685324e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2850000000000001 y[1] (closed_form) = 1.040865453161512 y[1] (numeric) = 1.040865449393628 absolute error = 3.767884670935473e-09 relative error = 3.619953625601604e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2860000000000001 y[1] (closed_form) = 1.041154876935846 y[1] (numeric) = 1.041154873113989 absolute error = 3.82185660896539e-09 relative error = 3.670785868297755e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2870000000000001 y[1] (closed_form) = 1.041445344269004 y[1] (numeric) = 1.041445340392936 absolute error = 3.876068577213232e-09 relative error = 3.721816606644743e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2880000000000001 y[1] (closed_form) = 1.041736855486621 y[1] (numeric) = 1.0417368515561 absolute error = 3.930521019768207e-09 relative error = 3.773045946360576e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2890000000000001 y[1] (closed_form) = 1.04202941091577 y[1] (numeric) = 1.042029406930556 absolute error = 3.985214380719526e-09 relative error = 3.824473991782235e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2900000000000001 y[1] (closed_form) = 1.042323010884976 y[1] (numeric) = 1.042323006844827 absolute error = 4.040149326201004e-09 relative error = 3.87610105889416e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2910000000000001 y[1] (closed_form) = 1.042617655724212 y[1] (numeric) = 1.042617651628885 absolute error = 4.095326966435664e-09 relative error = 3.927927887995537e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2920000000000001 y[1] (closed_form) = 1.042913345764908 y[1] (numeric) = 1.042913341614161 absolute error = 4.150747301423507e-09 relative error = 3.979954152738556e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2930000000000001 y[1] (closed_form) = 1.04321008133995 y[1] (numeric) = 1.043210077133539 absolute error = 4.206411219342954e-09 relative error = 4.032180377264024e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2940000000000001 y[1] (closed_form) = 1.043507862783689 y[1] (numeric) = 1.04350785852137 absolute error = 4.262319164283213e-09 relative error = 4.084606658269866e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2950000000000001 y[1] (closed_form) = 1.043806690431939 y[1] (numeric) = 1.043806686113467 absolute error = 4.318472024422704e-09 relative error = 4.137233516519874e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2960000000000001 y[1] (closed_form) = 1.044106564621987 y[1] (numeric) = 1.044106560247117 absolute error = 4.374870243850637e-09 relative error = 4.190061045573958e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2970000000000001 y[1] (closed_form) = 1.044407485692592 y[1] (numeric) = 1.044407481261077 absolute error = 4.431514710745432e-09 relative error = 4.243089762811018e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2980000000000001 y[1] (closed_form) = 1.044709453983991 y[1] (numeric) = 1.044709449495585 absolute error = 4.488406091240904e-09 relative error = 4.296319971188548e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2990000000000001 y[1] (closed_form) = 1.045012469837902 y[1] (numeric) = 1.045012465292358 absolute error = 4.545544607381657e-09 relative error = 4.349751547066939e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3000000000000001 y[1] (closed_form) = 1.04531653359753 y[1] (numeric) = 1.045316528994599 absolute error = 4.602931369390717e-09 relative error = 4.403385215337029e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3010000000000001 y[1] (closed_form) = 1.045621645607568 y[1] (numeric) = 1.045621640947001 absolute error = 4.660566821357293e-09 relative error = 4.457221061686447e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3020000000000001 y[1] (closed_form) = 1.045927806214202 y[1] (numeric) = 1.04592780149575 absolute error = 4.718451629415199e-09 relative error = 4.511259382704355e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3030000000000001 y[1] (closed_form) = 1.046235015765116 y[1] (numeric) = 1.04623501098853 absolute error = 4.776586237653646e-09 relative error = 4.565500261105779e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3040000000000001 y[1] (closed_form) = 1.046543274609497 y[1] (numeric) = 1.046543269774525 absolute error = 4.834971978340263e-09 relative error = 4.619944626890241e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3050000000000001 y[1] (closed_form) = 1.046852583098034 y[1] (numeric) = 1.046852578204426 absolute error = 4.893608851475051e-09 relative error = 4.674592135019626e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3060000000000001 y[1] (closed_form) = 1.047162941582929 y[1] (numeric) = 1.047162936630431 absolute error = 4.952497967281033e-09 relative error = 4.729443499781094e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3070000000000001 y[1] (closed_form) = 1.047474350417895 y[1] (numeric) = 1.047474345406255 absolute error = 5.011639991892025e-09 relative error = 4.78449900934816e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3080000000000001 y[1] (closed_form) = 1.047786809958163 y[1] (numeric) = 1.047786804887128 absolute error = 5.071035369397237e-09 relative error = 4.839758738325515e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3090000000000001 y[1] (closed_form) = 1.048100320560488 y[1] (numeric) = 1.048100315429803 absolute error = 5.130684987975087e-09 relative error = 4.895223183627475e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3100000000000001 y[1] (closed_form) = 1.048414882583147 y[1] (numeric) = 1.048414877392558 absolute error = 5.190589291714787e-09 relative error = 4.950892416679457e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3110000000000001 y[1] (closed_form) = 1.048730496385951 y[1] (numeric) = 1.048730491135202 absolute error = 5.250749168794755e-09 relative error = 5.006766930960294e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3120000000000001 y[1] (closed_form) = 1.049047162330244 y[1] (numeric) = 1.049047157019079 absolute error = 5.311165285348807e-09 relative error = 5.062847006373991e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3130000000000001 y[1] (closed_form) = 1.049364880778908 y[1] (numeric) = 1.049364875407069 absolute error = 5.371838307510757e-09 relative error = 5.119132921166015e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3140000000000001 y[1] (closed_form) = 1.049683652096368 y[1] (numeric) = 1.049683646663599 absolute error = 5.432769123459025e-09 relative error = 5.175625163456639e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3150000000000001 y[1] (closed_form) = 1.050003476648596 y[1] (numeric) = 1.050003471154638 absolute error = 5.493958399327425e-09 relative error = 5.232324007976674e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3160000000000001 y[1] (closed_form) = 1.050324354803118 y[1] (numeric) = 1.050324349247711 absolute error = 5.555406801249774e-09 relative error = 5.289229727793114e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3170000000000001 y[1] (closed_form) = 1.050646286929012 y[1] (numeric) = 1.050646281311897 absolute error = 5.617114995359884e-09 relative error = 5.346342594307776e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3180000000000001 y[1] (closed_form) = 1.050969273396918 y[1] (numeric) = 1.050969267717834 absolute error = 5.679083647791572e-09 relative error = 5.403662877255939e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3190000000000001 y[1] (closed_form) = 1.051293314579041 y[1] (numeric) = 1.051293308837727 absolute error = 5.741313646723256e-09 relative error = 5.461191055915916e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3200000000000001 y[1] (closed_form) = 1.051618410849155 y[1] (numeric) = 1.051618405045349 absolute error = 5.803806102377962e-09 relative error = 5.518927818781281e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3210000000000001 y[1] (closed_form) = 1.051944562582606 y[1] (numeric) = 1.051944556716045 absolute error = 5.866561014755689e-09 relative error = 5.576872796749694e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3220000000000001 y[1] (closed_form) = 1.052271770156319 y[1] (numeric) = 1.052271764226739 absolute error = 5.929579494079462e-09 relative error = 5.635026674904146e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3230000000000001 y[1] (closed_form) = 1.052600033948802 y[1] (numeric) = 1.05260002795594 absolute error = 5.992862206483096e-09 relative error = 5.693389714230797e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3240000000000001 y[1] (closed_form) = 1.052929354340149 y[1] (numeric) = 1.052929348283739 absolute error = 6.056410262189615e-09 relative error = 5.751962595804972e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3250000000000001 y[1] (closed_form) = 1.053259731712045 y[1] (numeric) = 1.053259725591821 absolute error = 6.120223883243625e-09 relative error = 5.810745155229059e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3260000000000001 y[1] (closed_form) = 1.053591166447773 y[1] (numeric) = 1.053591160263469 absolute error = 6.184303957823545e-09 relative error = 5.869737859206037e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3270000000000001 y[1] (closed_form) = 1.053923658932216 y[1] (numeric) = 1.053923652683564 absolute error = 6.248651596152399e-09 relative error = 5.928941383176871e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3280000000000001 y[1] (closed_form) = 1.05425720955186 y[1] (numeric) = 1.054257203238593 absolute error = 6.313267464364003e-09 relative error = 5.988355979133047e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3290000000000001 y[1] (closed_form) = 1.054591818694804 y[1] (numeric) = 1.054591812316652 absolute error = 6.378152228592171e-09 relative error = 6.047981897380894e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3300000000000001 y[1] (closed_form) = 1.054927486750761 y[1] (numeric) = 1.054927480307455 absolute error = 6.443306332926113e-09 relative error = 6.107819176057186e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3310000000000001 y[1] (closed_form) = 1.055264214111063 y[1] (numeric) = 1.055264207602332 absolute error = 6.508731331678064e-09 relative error = 6.167868903960618e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3320000000000001 y[1] (closed_form) = 1.055602001168665 y[1] (numeric) = 1.055601994594238 absolute error = 6.574427446892628e-09 relative error = 6.228130905032415e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3330000000000001 y[1] (closed_form) = 1.055940848318154 y[1] (numeric) = 1.055940841677758 absolute error = 6.640395566748225e-09 relative error = 6.288605632905189e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3340000000000001 y[1] (closed_form) = 1.056280755955747 y[1] (numeric) = 1.056280749249111 absolute error = 6.70663680146788e-09 relative error = 6.349293749463e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3350000000000001 y[1] (closed_form) = 1.056621724479304 y[1] (numeric) = 1.056621717706152 absolute error = 6.773151817185408e-09 relative error = 6.410195494062147e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3360000000000001 y[1] (closed_form) = 1.056963754288323 y[1] (numeric) = 1.056963747448382 absolute error = 6.839941057990018e-09 relative error = 6.471310894284637e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3370000000000001 y[1] (closed_form) = 1.057306845783956 y[1] (numeric) = 1.05730683887695 absolute error = 6.90700585614934e-09 relative error = 6.532640816326159e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3380000000000001 y[1] (closed_form) = 1.057650999369005 y[1] (numeric) = 1.057650992394658 absolute error = 6.974346655752584e-09 relative error = 6.594185284099842e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3390000000000001 y[1] (closed_form) = 1.05799621544793 y[1] (numeric) = 1.057996208405966 absolute error = 7.041964567022774e-09 relative error = 6.655944949709838e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3400000000000001 y[1] (closed_form) = 1.058342494426857 y[1] (numeric) = 1.058342487316996 absolute error = 7.109860256093725e-09 relative error = 6.717920043401504e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3410000000000001 y[1] (closed_form) = 1.058689836713576 y[1] (numeric) = 1.058689829535542 absolute error = 7.178034611143858e-09 relative error = 6.780111003451374e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3420000000000001 y[1] (closed_form) = 1.059038242717555 y[1] (numeric) = 1.059038235471067 absolute error = 7.246488520351591e-09 relative error = 6.842518266155024e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3430000000000001 y[1] (closed_form) = 1.059387712849938 y[1] (numeric) = 1.059387705534715 absolute error = 7.315222871895344e-09 relative error = 6.905142265824584e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3440000000000001 y[1] (closed_form) = 1.059738247523551 y[1] (numeric) = 1.059738240139313 absolute error = 7.384238331908932e-09 relative error = 6.967983225258487e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3450000000000001 y[1] (closed_form) = 1.060089847152912 y[1] (numeric) = 1.060089839699376 absolute error = 7.453535788570775e-09 relative error = 7.03104157500307e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3460000000000001 y[1] (closed_form) = 1.06044251215423 y[1] (numeric) = 1.060442504631114 absolute error = 7.523116352103898e-09 relative error = 7.094317953003508e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3470000000000001 y[1] (closed_form) = 1.060796242945416 y[1] (numeric) = 1.060796235352435 absolute error = 7.592980688642115e-09 relative error = 7.157812576295879e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3480000000000001 y[1] (closed_form) = 1.061151039946081 y[1] (numeric) = 1.061151032282951 absolute error = 7.663129686363845e-09 relative error = 7.221525869449484e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3490000000000001 y[1] (closed_form) = 1.061506903577549 y[1] (numeric) = 1.061506895843985 absolute error = 7.733564455492115e-09 relative error = 7.285458464215381e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3500000000000001 y[1] (closed_form) = 1.061863834262858 y[1] (numeric) = 1.061863826458572 absolute error = 7.804285440116132e-09 relative error = 7.34961036273906e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3510000000000001 y[1] (closed_form) = 1.062221832426766 y[1] (numeric) = 1.062221824551472 absolute error = 7.875293972503528e-09 relative error = 7.413982401878833e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3520000000000001 y[1] (closed_form) = 1.062580898495755 y[1] (numeric) = 1.062580890549164 absolute error = 7.946590718788116e-09 relative error = 7.478574789023333e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3530000000000001 y[1] (closed_form) = 1.062941032898041 y[1] (numeric) = 1.062941024879864 absolute error = 8.018176567148316e-09 relative error = 7.543387938733788e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3540000000000001 y[1] (closed_form) = 1.063302236063574 y[1] (numeric) = 1.063302227973521 absolute error = 8.090052405762549e-09 relative error = 7.608422263563127e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3550000000000001 y[1] (closed_form) = 1.063664508424046 y[1] (numeric) = 1.063664500261826 absolute error = 8.162219566898443e-09 relative error = 7.673678591562493e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3560000000000001 y[1] (closed_form) = 1.064027850412897 y[1] (numeric) = 1.064027842178218 absolute error = 8.234678272600604e-09 relative error = 7.739156704784685e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3570000000000002 y[1] (closed_form) = 1.064392262465319 y[1] (numeric) = 1.064392254157889 absolute error = 8.307429855136661e-09 relative error = 7.804857427181212e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3580000000000002 y[1] (closed_form) = 1.064757745018265 y[1] (numeric) = 1.064757736637789 absolute error = 8.380475424729639e-09 relative error = 7.870781371574697e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3590000000000002 y[1] (closed_form) = 1.065124298510447 y[1] (numeric) = 1.065124290056632 absolute error = 8.453815647513352e-09 relative error = 7.936928731544127e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3600000000000002 y[1] (closed_form) = 1.065491923382352 y[1] (numeric) = 1.0654919148549 absolute error = 8.52745141166622e-09 relative error = 8.00329990732942e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3610000000000002 y[1] (closed_form) = 1.065860620076238 y[1] (numeric) = 1.065860611474854 absolute error = 8.601384049455874e-09 relative error = 8.069895713794774e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3620000000000002 y[1] (closed_form) = 1.066230389036147 y[1] (numeric) = 1.066230380360533 absolute error = 8.675614004971521e-09 relative error = 8.136716130192199e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3630000000000002 y[1] (closed_form) = 1.066601230707906 y[1] (numeric) = 1.066601221957764 absolute error = 8.750142388436188e-09 relative error = 8.203761758861554e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3640000000000002 y[1] (closed_form) = 1.066973145539135 y[1] (numeric) = 1.066973136714165 absolute error = 8.824970310072899e-09 relative error = 8.271033199822192e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3650000000000002 y[1] (closed_form) = 1.067346133979252 y[1] (numeric) = 1.067346125079154 absolute error = 8.900098658060074e-09 relative error = 8.338530842735108e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3660000000000002 y[1] (closed_form) = 1.06772019647948 y[1] (numeric) = 1.067720187503952 absolute error = 8.975528320576132e-09 relative error = 8.406255075225249e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3670000000000002 y[1] (closed_form) = 1.068095333492852 y[1] (numeric) = 1.068095324441591 absolute error = 9.051260851933307e-09 relative error = 8.474206906544717e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3680000000000002 y[1] (closed_form) = 1.068471545474215 y[1] (numeric) = 1.068471536346918 absolute error = 9.127296474176205e-09 relative error = 8.542386096136309e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3690000000000002 y[1] (closed_form) = 1.068848832880239 y[1] (numeric) = 1.068848823676603 absolute error = 9.203636519572456e-09 relative error = 8.610793440987635e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3700000000000002 y[1] (closed_form) = 1.069227196169424 y[1] (numeric) = 1.069227186889142 absolute error = 9.280281654255873e-09 relative error = 8.679429112449708e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3710000000000002 y[1] (closed_form) = 1.069606635802101 y[1] (numeric) = 1.069606626444867 absolute error = 9.357233432538692e-09 relative error = 8.748294110499493e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3720000000000002 y[1] (closed_form) = 1.069987152240441 y[1] (numeric) = 1.069987142805948 absolute error = 9.434492742599332e-09 relative error = 8.817388809617471e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3730000000000002 y[1] (closed_form) = 1.070368745948464 y[1] (numeric) = 1.070368736436403 absolute error = 9.512060472616213e-09 relative error = 8.886713582231409e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3740000000000002 y[1] (closed_form) = 1.070751417392038 y[1] (numeric) = 1.070751407802101 absolute error = 9.589937732812359e-09 relative error = 8.956269006087301e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3750000000000002 y[1] (closed_form) = 1.071135167038894 y[1] (numeric) = 1.071135157370768 absolute error = 9.668125411366191e-09 relative error = 9.026055449279386e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3760000000000002 y[1] (closed_form) = 1.071519995358623 y[1] (numeric) = 1.071519985611998 absolute error = 9.746624618500732e-09 relative error = 9.096073485067048e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3770000000000002 y[1] (closed_form) = 1.071905902822689 y[1] (numeric) = 1.071905892997253 absolute error = 9.825436242394403e-09 relative error = 9.166323477201423e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3780000000000002 y[1] (closed_form) = 1.072292889904435 y[1] (numeric) = 1.072292879999873 absolute error = 9.904561837359438e-09 relative error = 9.236806408594349e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3790000000000002 y[1] (closed_form) = 1.072680957079084 y[1] (numeric) = 1.072680947095082 absolute error = 9.984001847485047e-09 relative error = 9.307522224195665e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3800000000000002 y[1] (closed_form) = 1.07307010482375 y[1] (numeric) = 1.073070094759992 absolute error = 1.006375760503886e-08 relative error = 9.37847169518511e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3810000000000002 y[1] (closed_form) = 1.073460333617445 y[1] (numeric) = 1.073460323473614 absolute error = 1.01438304422885e-08 relative error = 9.449655590071871e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3820000000000002 y[1] (closed_form) = 1.073851643941081 y[1] (numeric) = 1.07385163371686 absolute error = 1.02242212474124e-08 relative error = 9.521074261141955e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3830000000000002 y[1] (closed_form) = 1.074244036277481 y[1] (numeric) = 1.07424402597255 absolute error = 1.030493090858897e-08 relative error = 9.592728058605834e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3840000000000002 y[1] (closed_form) = 1.074637511111382 y[1] (numeric) = 1.074637500725422 absolute error = 1.038596075808584e-08 relative error = 9.664617743842533e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3850000000000002 y[1] (closed_form) = 1.075032068929446 y[1] (numeric) = 1.075032058462134 absolute error = 1.046731168408144e-08 relative error = 9.736743662451992e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3860000000000002 y[1] (closed_form) = 1.075427710220261 y[1] (numeric) = 1.075427699671276 absolute error = 1.054898479679878e-08 relative error = 9.809106364423336e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3870000000000002 y[1] (closed_form) = 1.075824435474352 y[1] (numeric) = 1.07582442484337 absolute error = 1.06309816505501e-08 relative error = 9.881706810147597e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3880000000000002 y[1] (closed_form) = 1.076222245184185 y[1] (numeric) = 1.076222234470882 absolute error = 1.071330246738e-08 relative error = 9.954544719103558e-07 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 9 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3890000000000002 y[1] (closed_form) = 1.076621139844177 y[1] (numeric) = 1.076621129048227 absolute error = 1.079594946773454e-08 relative error = 1.002762166577658e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3900000000000002 y[1] (closed_form) = 1.077021119950699 y[1] (numeric) = 1.077021109071776 absolute error = 1.087892331774754e-08 relative error = 1.0100937777567e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3910000000000002 y[1] (closed_form) = 1.077422186002085 y[1] (numeric) = 1.07742217503986 absolute error = 1.09622249055974e-08 relative error = 1.01744933861759e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3920000000000002 y[1] (closed_form) = 1.077824338498639 y[1] (numeric) = 1.077824327452783 absolute error = 1.104585556355175e-08 relative error = 1.02482892332327e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3930000000000002 y[1] (closed_form) = 1.07822757794264 y[1] (numeric) = 1.078227566812823 absolute error = 1.112981684592285e-08 relative error = 1.032232626358861e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3940000000000002 y[1] (closed_form) = 1.07863190483835 y[1] (numeric) = 1.078631893624241 absolute error = 1.121410897475528e-08 relative error = 1.039660418392305e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3950000000000002 y[1] (closed_form) = 1.079037319692025 y[1] (numeric) = 1.079037308393291 absolute error = 1.129873394845049e-08 relative error = 1.047112434598215e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3960000000000002 y[1] (closed_form) = 1.079443823011913 y[1] (numeric) = 1.079443811628221 absolute error = 1.138369265518691e-08 relative error = 1.054588706934615e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3970000000000002 y[1] (closed_form) = 1.07985141530827 y[1] (numeric) = 1.079851403839284 absolute error = 1.146898620518755e-08 relative error = 1.062089287711258e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3980000000000002 y[1] (closed_form) = 1.080260097093362 y[1] (numeric) = 1.080260085538746 absolute error = 1.155461615276465e-08 relative error = 1.069614270105363e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3990000000000002 y[1] (closed_form) = 1.080669868881474 y[1] (numeric) = 1.080669857240891 absolute error = 1.164058338609664e-08 relative error = 1.077163685348698e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4000000000000002 y[1] (closed_form) = 1.081080731188917 y[1] (numeric) = 1.081080719462028 absolute error = 1.172688901540653e-08 relative error = 1.084737585000696e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4010000000000002 y[1] (closed_form) = 1.081492684534035 y[1] (numeric) = 1.081492672720501 absolute error = 1.181353437296195e-08 relative error = 1.092336040909223e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4020000000000002 y[1] (closed_form) = 1.081905729437212 y[1] (numeric) = 1.081905717536691 absolute error = 1.190052101307515e-08 relative error = 1.099959145171141e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4030000000000002 y[1] (closed_form) = 1.08231986642088 y[1] (numeric) = 1.08231985443303 absolute error = 1.198784960187993e-08 relative error = 1.107606907514551e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4040000000000002 y[1] (closed_form) = 1.082735096009527 y[1] (numeric) = 1.082735083934005 absolute error = 1.207552169368853e-08 relative error = 1.115279419517614e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4050000000000002 y[1] (closed_form) = 1.083151418729702 y[1] (numeric) = 1.083151406566164 absolute error = 1.216353862076858e-08 relative error = 1.122976751951609e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4060000000000002 y[1] (closed_form) = 1.083568835110026 y[1] (numeric) = 1.083568822858125 absolute error = 1.22519014933431e-08 relative error = 1.130698954819887e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4070000000000002 y[1] (closed_form) = 1.083987345681197 y[1] (numeric) = 1.083987333340585 absolute error = 1.234061119959051e-08 relative error = 1.13844605739705e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4080000000000002 y[1] (closed_form) = 1.084406950975997 y[1] (numeric) = 1.084406938546327 absolute error = 1.242966973791226e-08 relative error = 1.146218191125132e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4090000000000002 y[1] (closed_form) = 1.084827651529302 y[1] (numeric) = 1.084827639010224 absolute error = 1.251907799648677e-08 relative error = 1.154015384733086e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4100000000000002 y[1] (closed_form) = 1.085249447878089 y[1] (numeric) = 1.085249435269251 absolute error = 1.260883730758167e-08 relative error = 1.161837707656505e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4110000000000002 y[1] (closed_form) = 1.085672340561442 y[1] (numeric) = 1.085672327862493 absolute error = 1.269894922550918e-08 relative error = 1.16968524950558e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4120000000000002 y[1] (closed_form) = 1.086096330120563 y[1] (numeric) = 1.086096317331149 absolute error = 1.278941463844774e-08 relative error = 1.177558038247679e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4130000000000002 y[1] (closed_form) = 1.086521417098776 y[1] (numeric) = 1.086521404218541 absolute error = 1.288023487866496e-08 relative error = 1.185456142508235e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4140000000000002 y[1] (closed_form) = 1.086947602041538 y[1] (numeric) = 1.086947589070127 absolute error = 1.297141127842849e-08 relative error = 1.193379630634006e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4150000000000002 y[1] (closed_form) = 1.087374885496445 y[1] (numeric) = 1.087374872433499 absolute error = 1.306294561409516e-08 relative error = 1.201328611533199e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4160000000000002 y[1] (closed_form) = 1.087803268013241 y[1] (numeric) = 1.087803254858402 absolute error = 1.315483877384338e-08 relative error = 1.209303112121489e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4170000000000002 y[1] (closed_form) = 1.088232750143826 y[1] (numeric) = 1.088232736896734 absolute error = 1.324709208994079e-08 relative error = 1.217303199907372e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4180000000000002 y[1] (closed_form) = 1.088663332442264 y[1] (numeric) = 1.088663319102557 absolute error = 1.333970711669963e-08 relative error = 1.225328962515332e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4190000000000002 y[1] (closed_form) = 1.08909501546479 y[1] (numeric) = 1.089095002032105 absolute error = 1.343268540843212e-08 relative error = 1.233380487257072e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4200000000000002 y[1] (closed_form) = 1.089527799769821 y[1] (numeric) = 1.089527786243793 absolute error = 1.35260280753613e-08 relative error = 1.241457820371253e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4210000000000002 y[1] (closed_form) = 1.089961685917961 y[1] (numeric) = 1.089961672298225 absolute error = 1.361973644975478e-08 relative error = 1.249561028219474e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4220000000000002 y[1] (closed_form) = 1.090396674472011 y[1] (numeric) = 1.090396660758199 absolute error = 1.371381186388021e-08 relative error = 1.257690176881792e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4230000000000002 y[1] (closed_form) = 1.090832765996976 y[1] (numeric) = 1.09083275218872 absolute error = 1.380825587204981e-08 relative error = 1.265845352511907e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4240000000000002 y[1] (closed_form) = 1.091269961060078 y[1] (numeric) = 1.091269947157008 absolute error = 1.390307002857583e-08 relative error = 1.274026640948693e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4250000000000002 y[1] (closed_form) = 1.091708260230757 y[1] (numeric) = 1.091708246232502 absolute error = 1.399825544368127e-08 relative error = 1.282234087037358e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4260000000000002 y[1] (closed_form) = 1.092147664080686 y[1] (numeric) = 1.092147649986873 absolute error = 1.4093813893723e-08 relative error = 1.290467796365837e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4270000000000002 y[1] (closed_form) = 1.092588173183776 y[1] (numeric) = 1.09258815899403 absolute error = 1.418974626687941e-08 relative error = 1.298727792881999e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4280000000000002 y[1] (closed_form) = 1.093029788116186 y[1] (numeric) = 1.093029773830132 absolute error = 1.428605456155196e-08 relative error = 1.307014201888649e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4290000000000002 y[1] (closed_form) = 1.093472509456332 y[1] (numeric) = 1.093472495073592 absolute error = 1.438273988796368e-08 relative error = 1.315327067080516e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4300000000000002 y[1] (closed_form) = 1.093916337784893 y[1] (numeric) = 1.093916323305089 absolute error = 1.44798040224714e-08 relative error = 1.323666492795238e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4310000000000002 y[1] (closed_form) = 1.094361273684824 y[1] (numeric) = 1.094361259107576 absolute error = 1.457724807529814e-08 relative error = 1.332032522150121e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4320000000000002 y[1] (closed_form) = 1.094807317741362 y[1] (numeric) = 1.094807303066288 absolute error = 1.467507382280075e-08 relative error = 1.34042525885524e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4330000000000002 y[1] (closed_form) = 1.095254470542036 y[1] (numeric) = 1.095254455768753 absolute error = 1.477328237520226e-08 relative error = 1.348844745449068e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4340000000000002 y[1] (closed_form) = 1.095702732676676 y[1] (numeric) = 1.0957027178048 absolute error = 1.487187573090409e-08 relative error = 1.357291105277598e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4350000000000002 y[1] (closed_form) = 1.09615210473742 y[1] (numeric) = 1.096152089766565 absolute error = 1.49708552221739e-08 relative error = 1.365764400530903e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4360000000000002 y[1] (closed_form) = 1.096602587318727 y[1] (numeric) = 1.096602572248504 absolute error = 1.507022218127929e-08 relative error = 1.374264693112487e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4370000000000002 y[1] (closed_form) = 1.097054181017382 y[1] (numeric) = 1.097054165847404 absolute error = 1.516997838457712e-08 relative error = 1.382792085119155e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4380000000000002 y[1] (closed_form) = 1.097506886432509 y[1] (numeric) = 1.097506871162383 absolute error = 1.527012516433501e-08 relative error = 1.391346637830327e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4390000000000002 y[1] (closed_form) = 1.097960704165576 y[1] (numeric) = 1.097960688794912 absolute error = 1.537066429690981e-08 relative error = 1.399928452684574e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4400000000000002 y[1] (closed_form) = 1.09841563482041 y[1] (numeric) = 1.098415619348813 absolute error = 1.547159711456914e-08 relative error = 1.408537590335623e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4410000000000002 y[1] (closed_form) = 1.0988716790032 y[1] (numeric) = 1.098871663430275 absolute error = 1.557292517162523e-08 relative error = 1.417174131355503e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4420000000000002 y[1] (closed_form) = 1.099328837322512 y[1] (numeric) = 1.099328821647862 absolute error = 1.567465024443493e-08 relative error = 1.425838176192264e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4430000000000002 y[1] (closed_form) = 1.099787110389294 y[1] (numeric) = 1.09978709461252 absolute error = 1.577677410935507e-08 relative error = 1.434529824937713e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4440000000000002 y[1] (closed_form) = 1.100246498816889 y[1] (numeric) = 1.100246482937591 absolute error = 1.587929787660869e-08 relative error = 1.443249116782823e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4450000000000002 y[1] (closed_form) = 1.100707003221044 y[1] (numeric) = 1.10070698723882 absolute error = 1.598222376664182e-08 relative error = 1.451996191527117e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4460000000000002 y[1] (closed_form) = 1.101168624219917 y[1] (numeric) = 1.101168608134364 absolute error = 1.60855528896775e-08 relative error = 1.460771087722621e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4470000000000002 y[1] (closed_form) = 1.101631362434091 y[1] (numeric) = 1.101631346244804 absolute error = 1.618928680002796e-08 relative error = 1.469573883976686e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4480000000000002 y[1] (closed_form) = 1.10209521848658 y[1] (numeric) = 1.102095202193152 absolute error = 1.629342749609464e-08 relative error = 1.478404698867046e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4490000000000002 y[1] (closed_form) = 1.102560193002842 y[1] (numeric) = 1.102560176604865 absolute error = 1.639797675423438e-08 relative error = 1.487263630439459e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4500000000000002 y[1] (closed_form) = 1.103026286610786 y[1] (numeric) = 1.10302627010785 absolute error = 1.650293568467021e-08 relative error = 1.496150715988642e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4510000000000002 y[1] (closed_form) = 1.103493499940785 y[1] (numeric) = 1.103493483332479 absolute error = 1.660830650784817e-08 relative error = 1.505066093161345e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4520000000000002 y[1] (closed_form) = 1.103961833625685 y[1] (numeric) = 1.103961816911594 absolute error = 1.67140907780805e-08 relative error = 1.514009838835395e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4530000000000002 y[1] (closed_form) = 1.104431288300812 y[1] (numeric) = 1.104431271480522 absolute error = 1.682029027172405e-08 relative error = 1.522982049666699e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4540000000000002 y[1] (closed_form) = 1.104901864603989 y[1] (numeric) = 1.104901847677083 absolute error = 1.692690632104643e-08 relative error = 1.531982781757115e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4550000000000002 y[1] (closed_form) = 1.105373563175541 y[1] (numeric) = 1.1053735461416 absolute error = 1.70339411464937e-08 relative error = 1.541012171266176e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4560000000000002 y[1] (closed_form) = 1.105846384658304 y[1] (numeric) = 1.105846367516909 absolute error = 1.714139585828889e-08 relative error = 1.550070253526706e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4570000000000002 y[1] (closed_form) = 1.106320329697644 y[1] (numeric) = 1.106320312448371 absolute error = 1.724927289892264e-08 relative error = 1.559157184035193e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4580000000000002 y[1] (closed_form) = 1.106795398941456 y[1] (numeric) = 1.106795381583882 absolute error = 1.735757360066259e-08 relative error = 1.56827301751195e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4590000000000002 y[1] (closed_form) = 1.107271593040184 y[1] (numeric) = 1.107271575573884 absolute error = 1.746629996191018e-08 relative error = 1.577417868542422e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4600000000000002 y[1] (closed_form) = 1.107748912646826 y[1] (numeric) = 1.107748895071373 absolute error = 1.757545353697765e-08 relative error = 1.586591811224018e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4610000000000002 y[1] (closed_form) = 1.10822735841695 y[1] (numeric) = 1.108227340731913 absolute error = 1.768503632426643e-08 relative error = 1.595794959396118e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4620000000000002 y[1] (closed_form) = 1.108706931008697 y[1] (numeric) = 1.108706913213647 absolute error = 1.779505010013338e-08 relative error = 1.605027406471024e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4630000000000002 y[1] (closed_form) = 1.109187631082801 y[1] (numeric) = 1.109187613177304 absolute error = 1.790549664093533e-08 relative error = 1.614289245495443e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4640000000000002 y[1] (closed_form) = 1.109669459302592 y[1] (numeric) = 1.109669441286214 absolute error = 1.801637794507371e-08 relative error = 1.623580589160009e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4650000000000002 y[1] (closed_form) = 1.110152416334013 y[1] (numeric) = 1.110152398206317 absolute error = 1.812769578890538e-08 relative error = 1.632901529752765e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4660000000000002 y[1] (closed_form) = 1.110636502845627 y[1] (numeric) = 1.110636484606175 absolute error = 1.823945172674257e-08 relative error = 1.642252139202179e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4670000000000002 y[1] (closed_form) = 1.11112171950863 y[1] (numeric) = 1.111121701156982 absolute error = 1.835164775698672e-08 relative error = 1.651632529071824e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4680000000000002 y[1] (closed_form) = 1.111608066996863 y[1] (numeric) = 1.111608048532577 absolute error = 1.846428610008388e-08 relative error = 1.661042830497558e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4690000000000003 y[1] (closed_form) = 1.112095545986821 y[1] (numeric) = 1.112095527409453 absolute error = 1.857736853239089e-08 relative error = 1.670483134244208e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4700000000000003 y[1] (closed_form) = 1.112584157157668 y[1] (numeric) = 1.112584138466771 absolute error = 1.869089683026459e-08 relative error = 1.679953530707686e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4710000000000003 y[1] (closed_form) = 1.113073901191244 y[1] (numeric) = 1.113073882386371 absolute error = 1.880487299210643e-08 relative error = 1.689454129863337e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4720000000000003 y[1] (closed_form) = 1.113564778772079 y[1] (numeric) = 1.113564759852781 absolute error = 1.891929857222863e-08 relative error = 1.698985001401608e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4730000000000003 y[1] (closed_form) = 1.114056790587407 y[1] (numeric) = 1.114056771553231 absolute error = 1.903417601312185e-08 relative error = 1.708546294402615e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4740000000000003 y[1] (closed_form) = 1.114549937327174 y[1] (numeric) = 1.114549918177667 absolute error = 1.914950731318754e-08 relative error = 1.718138117625343e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4750000000000003 y[1] (closed_form) = 1.115044219684049 y[1] (numeric) = 1.115044200418755 absolute error = 1.926529402673793e-08 relative error = 1.727760539595175e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4760000000000003 y[1] (closed_form) = 1.115539638353441 y[1] (numeric) = 1.115539618971903 absolute error = 1.938153859626368e-08 relative error = 1.737413708119885e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4770000000000003 y[1] (closed_form) = 1.116036194033507 y[1] (numeric) = 1.116036174535264 absolute error = 1.949824279812162e-08 relative error = 1.747097710841466e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4780000000000003 y[1] (closed_form) = 1.116533887425165 y[1] (numeric) = 1.116533867809756 absolute error = 1.96154086307132e-08 relative error = 1.75681265491621e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4790000000000003 y[1] (closed_form) = 1.117032719232105 y[1] (numeric) = 1.117032699499067 absolute error = 1.973303809243987e-08 relative error = 1.76655864709184e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4800000000000003 y[1] (closed_form) = 1.117532690160805 y[1] (numeric) = 1.117532670309672 absolute error = 1.985113340374767e-08 relative error = 1.776335813576176e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4810000000000003 y[1] (closed_form) = 1.118033800920539 y[1] (numeric) = 1.118033780950842 absolute error = 1.996969656303804e-08 relative error = 1.786144260271549e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4820000000000003 y[1] (closed_form) = 1.118536052223392 y[1] (numeric) = 1.118536032134662 absolute error = 2.008873001280165e-08 relative error = 1.795984132372835e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4830000000000003 y[1] (closed_form) = 1.11903944478427 y[1] (numeric) = 1.119039424576035 absolute error = 2.020823508530611e-08 relative error = 1.805855475380663e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4840000000000003 y[1] (closed_form) = 1.119543979320917 y[1] (numeric) = 1.119543958992703 absolute error = 2.03282144450867e-08 relative error = 1.815758453492573e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4850000000000003 y[1] (closed_form) = 1.120049656553924 y[1] (numeric) = 1.120049636105253 absolute error = 2.044867009054485e-08 relative error = 1.825693170913478e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4860000000000003 y[1] (closed_form) = 1.12055647720674 y[1] (numeric) = 1.120556456637136 absolute error = 2.056960402008201e-08 relative error = 1.835659731436005e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4870000000000003 y[1] (closed_form) = 1.121064442005693 y[1] (numeric) = 1.121064421314674 absolute error = 2.069101867618883e-08 relative error = 1.845658278053187e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4880000000000003 y[1] (closed_form) = 1.121573551679992 y[1] (numeric) = 1.121573530867076 absolute error = 2.081291583522216e-08 relative error = 1.855688893880097e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4890000000000003 y[1] (closed_form) = 1.122083806961748 y[1] (numeric) = 1.122083786026451 absolute error = 2.093529793967264e-08 relative error = 1.86575172101974e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4900000000000003 y[1] (closed_form) = 1.122595208585987 y[1] (numeric) = 1.12259518752782 absolute error = 2.105816720998632e-08 relative error = 1.875846881309162e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4910000000000003 y[1] (closed_form) = 1.123107757290656 y[1] (numeric) = 1.123107736109131 absolute error = 2.118152564456466e-08 relative error = 1.885974476363887e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4920000000000003 y[1] (closed_form) = 1.123621453816646 y[1] (numeric) = 1.12362143251127 absolute error = 2.13053759079429e-08 relative error = 1.896134666668579e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4930000000000003 y[1] (closed_form) = 1.124136298907797 y[1] (numeric) = 1.124136277478077 absolute error = 2.14297197764779e-08 relative error = 1.906327533173589e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4940000000000003 y[1] (closed_form) = 1.124652293310918 y[1] (numeric) = 1.124652271756358 absolute error = 2.15545599147049e-08 relative error = 1.916553235422603e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4950000000000003 y[1] (closed_form) = 1.125169437775794 y[1] (numeric) = 1.125169416095896 absolute error = 2.167989809898074e-08 relative error = 1.926811853496217e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4960000000000003 y[1] (closed_form) = 1.125687733055208 y[1] (numeric) = 1.125687711249471 absolute error = 2.18057372158853e-08 relative error = 1.93710356572002e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4970000000000003 y[1] (closed_form) = 1.126207179904948 y[1] (numeric) = 1.126207157972869 absolute error = 2.19320788197308e-08 relative error = 1.947428431559269e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4980000000000003 y[1] (closed_form) = 1.126727779083822 y[1] (numeric) = 1.126727757024896 absolute error = 2.205892601914172e-08 relative error = 1.957786648082692e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4990000000000003 y[1] (closed_form) = 1.127249531353676 y[1] (numeric) = 1.127249509167395 absolute error = 2.21862808125195e-08 relative error = 1.968178313268114e-06 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 8 h = -0.001 NO INFO (given) for Equation 1 NO 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 ) = arcsin ( x + 0.0001 ) ; Iterations = 300 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = 0.0 Seconds Optimized Time Remaining = 0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 0 %