##############ECHO OF PROBLEM################# ##############temp/sub_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(cos(c(x)) + (c(0.05) * c(x) * c(x)) + c(x)) ; } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = 1.095504165278026 y[1] (numeric) = 1.095504165278026 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = 1.104561097956697 y[1] (numeric) = 1.104561097956697 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1091 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 1.113528635853866 y[1] (numeric) = 1.113528635853866 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1189 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 1.122406893714788 y[1] (numeric) = 1.122406893714788 absolute error = 2.220446049250313e-16 relative error = 1.978289746511967e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1285 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 1.131195996212637 y[1] (numeric) = 1.131195996212637 absolute error = 2.220446049250313e-16 relative error = 1.962918943034274e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1382 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 1.139896077936042 y[1] (numeric) = 1.139896077936042 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1478 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 1.148507283375627 y[1] (numeric) = 1.148507283375627 absolute error = 2.220446049250313e-16 relative error = 1.933332144593899e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1573 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 1.157029766909561 y[1] (numeric) = 1.157029766909561 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1667 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 1.165463692788121 y[1] (numeric) = 1.165463692788121 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 1.17380923511727 y[1] (numeric) = 1.17380923511727 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1855 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 1.182066577841242 y[1] (numeric) = 1.182066577841242 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1947 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 1.190235914724148 y[1] (numeric) = 1.190235914724148 absolute error = 4.440892098500626e-16 relative error = 3.731102417229493e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2039 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 1.198317449330606 y[1] (numeric) = 1.198317449330605 absolute error = 4.440892098500626e-16 relative error = 3.705939608057415e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.213 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 1.206311395005375 y[1] (numeric) = 1.206311395005375 absolute error = 4.440892098500626e-16 relative error = 3.68138120628533e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.222 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 1.21421797485203 y[1] (numeric) = 1.214217974852029 absolute error = 4.440892098500626e-16 relative error = 3.657409287687257e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2309 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 1.222037421710645 y[1] (numeric) = 1.222037421710644 absolute error = 4.440892098500626e-16 relative error = 3.634006634824759e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2397 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 1.229769978134513 y[1] (numeric) = 1.229769978134513 absolute error = 6.661338147750939e-16 relative error = 5.416735053050966e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2484 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 1.237415896365891 y[1] (numeric) = 1.23741589636589 absolute error = 6.661338147750939e-16 relative error = 5.383265373682619e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2571 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 1.244975438310771 y[1] (numeric) = 1.244975438310771 absolute error = 2.220446049250313e-16 relative error = 1.783525988483031e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2656 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 1.252448875512697 y[1] (numeric) = 1.252448875512697 absolute error = 2.220446049250313e-16 relative error = 1.772883582446717e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.274 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 1.259836489125606 y[1] (numeric) = 1.259836489125606 absolute error = 4.440892098500626e-16 relative error = 3.524974976381929e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2823 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 1.267138569885714 y[1] (numeric) = 1.267138569885713 absolute error = 4.440892098500626e-16 relative error = 3.504661766314288e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2905 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 1.274355418082441 y[1] (numeric) = 1.274355418082441 absolute error = 4.440892098500626e-16 relative error = 3.484814389680207e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2986 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 1.281487343528387 y[1] (numeric) = 1.281487343528386 absolute error = 6.661338147750939e-16 relative error = 5.19813026745151e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3066 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 1.288534665528347 y[1] (numeric) = 1.288534665528345 absolute error = 1.110223024625157e-15 relative error = 8.616167297058511e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3144 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 1.295497712847379 y[1] (numeric) = 1.295497712847378 absolute error = 8.881784197001252e-16 relative error = 6.855885663804027e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3221 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 1.302376823677935 y[1] (numeric) = 1.302376823677934 absolute error = 1.110223024625157e-15 relative error = 8.524591381239934e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3297 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 1.309172345606035 y[1] (numeric) = 1.309172345606034 absolute error = 1.110223024625157e-15 relative error = 8.480342778026054e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3371 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 1.31588463557651 y[1] (numeric) = 1.315884635576509 absolute error = 8.881784197001252e-16 relative error = 6.749667833236763e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3445 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 1.322514059857313 y[1] (numeric) = 1.322514059857312 absolute error = 8.881784197001252e-16 relative error = 6.715833477006295e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3516 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 1.329060994002885 y[1] (numeric) = 1.329060994002884 absolute error = 8.881784197001252e-16 relative error = 6.68275138393082e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3587 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 1.335525822816605 y[1] (numeric) = 1.335525822816604 absolute error = 6.661338147750939e-16 relative error = 4.987801833514736e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3656 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 1.341908940312309 y[1] (numeric) = 1.341908940312308 absolute error = 8.881784197001252e-16 relative error = 6.618768181791944e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3723 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 1.348210749674885 y[1] (numeric) = 1.348210749674885 absolute error = 6.661338147750939e-16 relative error = 4.940873041812855e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3789 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 1.354431663219964 y[1] (numeric) = 1.354431663219963 absolute error = 6.661338147750939e-16 relative error = 4.918179579407188e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3854 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 1.360572102352677 y[1] (numeric) = 1.360572102352676 absolute error = 6.661338147750939e-16 relative error = 4.895983194299127e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3917 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 1.366632497525525 y[1] (numeric) = 1.366632497525525 absolute error = 2.220446049250313e-16 relative error = 1.624757243275521e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 1.372613288195329 y[1] (numeric) = 1.372613288195329 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4038 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 1.378514922779284 y[1] (numeric) = 1.378514922779285 absolute error = 2.220446049250313e-16 relative error = 1.610752275915573e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4096 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 1.384337858610122 y[1] (numeric) = 1.384337858610122 absolute error = 6.661338147750939e-16 relative error = 4.811930921573537e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4152 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 1.390082561890373 y[1] (numeric) = 1.390082561890373 absolute error = 4.440892098500626e-16 relative error = 3.194696646263556e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4207 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 1.395749507645752 y[1] (numeric) = 1.395749507645752 absolute error = 2.220446049250313e-16 relative error = 1.590862856900161e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4261 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 1.40133917967765 y[1] (numeric) = 1.40133917967765 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4312 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 1.406852070514761 y[1] (numeric) = 1.406852070514761 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4362 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 1.412288681363824 y[1] (numeric) = 1.412288681363825 absolute error = 4.440892098500626e-16 relative error = 3.144464837183379e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.441 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 1.417649522059506 y[1] (numeric) = 1.417649522059506 absolute error = 4.440892098500626e-16 relative error = 3.132574045557516e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4456 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 1.422935111013416 y[1] (numeric) = 1.422935111013417 absolute error = 4.440892098500626e-16 relative error = 3.120937886856848e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4501 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 1.428145975162269 y[1] (numeric) = 1.42814597516227 absolute error = 6.661338147750939e-16 relative error = 4.664325820750966e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4543 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 1.433282649915187 y[1] (numeric) = 1.433282649915188 absolute error = 6.661338147750939e-16 relative error = 4.647609561271893e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4584 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 1.438345679100164 y[1] (numeric) = 1.438345679100164 absolute error = 6.661338147750939e-16 relative error = 4.631249806317982e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4623 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 1.443335614909679 y[1] (numeric) = 1.443335614909679 absolute error = 6.661338147750939e-16 relative error = 4.615238534225316e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.466 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 1.44825301784548 y[1] (numeric) = 1.448253017845481 absolute error = 1.332267629550188e-15 relative error = 9.199135877045576e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4695 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 1.453098456662534 y[1] (numeric) = 1.453098456662535 absolute error = 1.110223024625157e-15 relative error = 7.640384032717979e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4729 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 1.457872508312152 y[1] (numeric) = 1.457872508312153 absolute error = 1.332267629550188e-15 relative error = 9.138437153826414e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.476 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 1.462575757884293 y[1] (numeric) = 1.462575757884294 absolute error = 1.110223024625157e-15 relative error = 7.590875335108545e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.479 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 1.467208798549056 y[1] (numeric) = 1.467208798549057 absolute error = 1.110223024625157e-15 relative error = 7.566905444699296e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 1.471772231497365 y[1] (numeric) = 1.471772231497366 absolute error = 1.110223024625157e-15 relative error = 7.543443209929484e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4844 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 1.476266665880849 y[1] (numeric) = 1.476266665880851 absolute error = 1.110223024625157e-15 relative error = 7.520477501012432e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4867 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 1.480692718750928 y[1] (numeric) = 1.480692718750929 absolute error = 1.110223024625157e-15 relative error = 7.497997461361938e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4889 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 1.485051014997107 y[1] (numeric) = 1.485051014997107 absolute error = 4.440892098500626e-16 relative error = 2.990396998926853e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4909 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 1.489342187284489 y[1] (numeric) = 1.489342187284489 absolute error = 8.881784197001252e-16 relative error = 5.963561814625941e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 1.493566875990509 y[1] (numeric) = 1.493566875990509 absolute error = 2.220446049250313e-16 relative error = 1.486673335452589e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4943 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 1.497725729140895 y[1] (numeric) = 1.497725729140895 absolute error = 2.220446049250313e-16 relative error = 1.482545172355405e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4957 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 1.501819402344871 y[1] (numeric) = 1.501819402344871 absolute error = 2.220446049250313e-16 relative error = 1.478504037025632e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4969 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 1.505848558729588 y[1] (numeric) = 1.505848558729588 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4979 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 1.509813868873821 y[1] (numeric) = 1.509813868873821 absolute error = 2.220446049250313e-16 relative error = 1.470675356099727e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4987 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 1.513716010740905 y[1] (numeric) = 1.513716010740905 absolute error = 2.220446049250313e-16 relative error = 1.466884166841501e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 1.517555669610944 y[1] (numeric) = 1.517555669610943 absolute error = 6.661338147750939e-16 relative error = 4.389518144964467e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 1.521333538012278 y[1] (numeric) = 1.521333538012277 absolute error = 8.881784197001252e-16 relative error = 5.838157100385684e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 1.525050315652236 y[1] (numeric) = 1.525050315652236 absolute error = 2.220446049250313e-16 relative error = 1.455982157743214e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = 1.528706709347166 y[1] (numeric) = 1.528706709347166 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 1.532303432951747 y[1] (numeric) = 1.532303432951747 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = 1.535841207287614 y[1] (numeric) = 1.535841207287614 absolute error = 4.440892098500626e-16 relative error = 2.891504718995985e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4988 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 1.539320760071267 y[1] (numeric) = 1.539320760071268 absolute error = 6.661338147750939e-16 relative error = 4.327452939335746e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.498 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = 1.542742825841308 y[1] (numeric) = 1.542742825841309 absolute error = 8.881784197001252e-16 relative error = 5.757138551046396e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.497 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = 1.546108145884982 y[1] (numeric) = 1.546108145884983 absolute error = 8.881784197001252e-16 relative error = 5.744607335935985e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4958 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = 1.549417468164052 y[1] (numeric) = 1.549417468164053 absolute error = 1.110223024625157e-15 relative error = 7.165422150175516e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4944 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = 1.552671547240001 y[1] (numeric) = 1.552671547240003 absolute error = 1.332267629550188e-15 relative error = 8.580485885236969e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4929 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 1.55587114419858 y[1] (numeric) = 1.555871144198582 absolute error = 1.332267629550188e-15 relative error = 8.562840403061981e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4911 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = 1.559017026573697 y[1] (numeric) = 1.559017026573698 absolute error = 1.110223024625157e-15 relative error = 7.121301472025165e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4891 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = 1.562109968270665 y[1] (numeric) = 1.562109968270666 absolute error = 1.332267629550188e-15 relative error = 8.528641751291531e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4869 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = 1.565150749488812 y[1] (numeric) = 1.565150749488813 absolute error = 1.554312234475219e-15 relative error = 9.930750983461929e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4846 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = 1.568140156643463 y[1] (numeric) = 1.568140156643465 absolute error = 1.77635683940025e-15 relative error = 1.132779383191402e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.482 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = 1.571078982287299 y[1] (numeric) = 1.5710789822873 absolute error = 1.554312234475219e-15 relative error = 9.893278772097956e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4792 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = 1.573968025031098 y[1] (numeric) = 1.5739680250311 absolute error = 1.554312234475219e-15 relative error = 9.875119505331179e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4763 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 1.576808089463884 y[1] (numeric) = 1.576808089463885 absolute error = 1.554312234475219e-15 relative error = 9.85733295548786e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4732 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 1.579599986072457 y[1] (numeric) = 1.579599986072459 absolute error = 1.554312234475219e-15 relative error = 9.839910408836393e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4698 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 1.582344531160355 y[1] (numeric) = 1.582344531160356 absolute error = 1.77635683940025e-15 relative error = 1.122610660585798e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4663 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 1.585042546766217 y[1] (numeric) = 1.585042546766219 absolute error = 1.998401444325282e-15 relative error = 1.260787256722158e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4626 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 1.587694860581588 y[1] (numeric) = 1.587694860581589 absolute error = 1.77635683940025e-15 relative error = 1.118827605670748e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4587 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = 1.59030230586814 y[1] (numeric) = 1.590302305868141 absolute error = 1.332267629550188e-15 relative error = 8.377448895308669e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4546 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = 1.592865721374355 y[1] (numeric) = 1.592865721374357 absolute error = 1.998401444325282e-15 relative error = 1.254595046844892e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4504 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 1.595385951251649 y[1] (numeric) = 1.595385951251652 absolute error = 2.442490654175344e-15 relative error = 1.530971644986033e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.446 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 1.597863844969955 y[1] (numeric) = 1.597863844969957 absolute error = 2.664535259100376e-15 relative error = 1.667560892305238e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4414 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 1.600300257232778 y[1] (numeric) = 1.60030025723278 absolute error = 2.664535259100376e-15 relative error = 1.665022077611774e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4366 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = 1.602696047891726 y[1] (numeric) = 1.602696047891729 absolute error = 2.886579864025407e-15 relative error = 1.801077545441366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4316 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = 1.605052081860526 y[1] (numeric) = 1.605052081860529 absolute error = 2.886579864025407e-15 relative error = 1.798433768379263e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4265 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = 1.607369229028532 y[1] (numeric) = 1.607369229028535 absolute error = 2.886579864025407e-15 relative error = 1.795841186887725e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4212 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = 1.609648364173738 y[1] (numeric) = 1.609648364173741 absolute error = 2.886579864025407e-15 relative error = 1.793298417388906e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4157 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = 1.611890366875299 y[1] (numeric) = 1.611890366875302 absolute error = 3.108624468950438e-15 relative error = 1.928558252368371e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4101 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = 1.614096121425575 y[1] (numeric) = 1.614096121425579 absolute error = 3.552713678800501e-15 relative error = 2.201054591261103e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4042 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = 1.616266516741705 y[1] (numeric) = 1.616266516741708 absolute error = 3.774758283725532e-15 relative error = 2.335480098502082e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3983 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 1.618402446276709 y[1] (numeric) = 1.618402446276713 absolute error = 3.996802888650564e-15 relative error = 2.469597656531966e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3922 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 1.620504807930155 y[1] (numeric) = 1.620504807930159 absolute error = 4.218847493575595e-15 relative error = 2.603415597985336e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3859 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 1.622574503958355 y[1] (numeric) = 1.62257450395836 absolute error = 4.662936703425657e-15 relative error = 2.873788964420543e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3794 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = 1.624612440884154 y[1] (numeric) = 1.624612440884159 absolute error = 4.884981308350689e-15 relative error = 3.006859473322857e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3729 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = 1.62661952940627 y[1] (numeric) = 1.626619529406275 absolute error = 5.10702591327572e-15 relative error = 3.139656091021991e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3661 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = 1.628596684308227 y[1] (numeric) = 1.628596684308232 absolute error = 5.10702591327572e-15 relative error = 3.13584447425362e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3592 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = 1.630544824366878 y[1] (numeric) = 1.630544824366883 absolute error = 5.329070518200751e-15 relative error = 3.268276001102863e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3522 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = 1.632464872260529 y[1] (numeric) = 1.632464872260535 absolute error = 5.773159728050814e-15 relative error = 3.536467967029836e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.345 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = 1.63435775447667 y[1] (numeric) = 1.634357754476676 absolute error = 5.995204332975845e-15 relative error = 3.668232562028956e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3377 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = 1.636224401219326 y[1] (numeric) = 1.636224401219333 absolute error = 6.883382752675971e-15 relative error = 4.206869636919254e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3303 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 1.638065746316043 y[1] (numeric) = 1.63806574631605 absolute error = 7.105427357601002e-15 relative error = 4.337693632615711e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3227 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 1.639882727124498 y[1] (numeric) = 1.639882727124506 absolute error = 7.771561172376096e-15 relative error = 4.739095694972881e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.315 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 1.641676284438772 y[1] (numeric) = 1.641676284438779 absolute error = 7.549516567451064e-15 relative error = 4.598663353434484e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3072 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 1.643447362395264 y[1] (numeric) = 1.643447362395271 absolute error = 7.327471962526033e-15 relative error = 4.458598510783159e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2992 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 1.645196908378284 y[1] (numeric) = 1.645196908378292 absolute error = 7.549516567451064e-15 relative error = 4.588822486235298e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2912 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 1.646925872925314 y[1] (numeric) = 1.646925872925321 absolute error = 7.327471962526033e-15 relative error = 4.449181400927767e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.283 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 1.648635209631951 y[1] (numeric) = 1.648635209631958 absolute error = 7.549516567451064e-15 relative error = 4.579252295076517e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2747 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 1.650325875056552 y[1] (numeric) = 1.65032587505656 absolute error = 7.993605777301127e-15 relative error = 4.843652940378946e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2663 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 1.651998828624582 y[1] (numeric) = 1.651998828624591 absolute error = 8.43769498715119e-15 relative error = 5.107567173141539e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2578 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 1.653655032532664 y[1] (numeric) = 1.653655032532673 absolute error = 8.659739592076221e-15 relative error = 5.236726778990507e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2491 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 1.655295451652367 y[1] (numeric) = 1.655295451652377 absolute error = 9.325873406851315e-15 relative error = 5.633963047226366e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2404 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 1.656921053433718 y[1] (numeric) = 1.656921053433727 absolute error = 9.103828801926284e-15 relative error = 5.4944252069584e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2316 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 1.658532807808454 y[1] (numeric) = 1.658532807808463 absolute error = 9.103828801926284e-15 relative error = 5.489085750408441e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2227 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 1.660131687093036 y[1] (numeric) = 1.660131687093045 absolute error = 9.325873406851315e-15 relative error = 5.617550390343633e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2137 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 1.661718665891413 y[1] (numeric) = 1.661718665891423 absolute error = 9.547918011776346e-15 relative error = 5.745808967400903e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2046 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 1.663294720997567 y[1] (numeric) = 1.663294720997576 absolute error = 9.547918011776346e-15 relative error = 5.740364525446188e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1954 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 1.664860831297828 y[1] (numeric) = 1.664860831297837 absolute error = 9.547918011776346e-15 relative error = 5.734964648266335e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1862 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 1.666417977672993 y[1] (numeric) = 1.666417977673003 absolute error = 9.992007221626409e-15 relative error = 5.996099031276279e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1769 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 1.667967142900234 y[1] (numeric) = 1.667967142900245 absolute error = 1.021405182655144e-14 relative error = 6.123652896897844e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1675 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 1.669509311554824 y[1] (numeric) = 1.669509311554835 absolute error = 1.043609643147647e-14 relative error = 6.250996241379014e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.158 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 1.671045469911679 y[1] (numeric) = 1.671045469911689 absolute error = 1.021405182655144e-14 relative error = 6.11237217087294e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1485 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 1.67257660584673 y[1] (numeric) = 1.67257660584674 absolute error = 1.06581410364015e-14 relative error = 6.372288718582129e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1389 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 1.674103708738138 y[1] (numeric) = 1.674103708738149 absolute error = 1.043609643147647e-14 relative error = 6.233841055965833e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1293 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 1.675627769367359 y[1] (numeric) = 1.675627769367369 absolute error = 1.021405182655144e-14 relative error = 6.095656811899102e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1196 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 1.677149779820062 y[1] (numeric) = 1.677149779820073 absolute error = 1.06581410364015e-14 relative error = 6.354913058239196e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1099 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 1.678670733386924 y[1] (numeric) = 1.678670733386934 absolute error = 1.043609643147647e-14 relative error = 6.216881145250187e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1001 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 1.680191624464302 y[1] (numeric) = 1.680191624464313 absolute error = 1.088018564132653e-14 relative error = 6.475562360213217e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0903 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 1.681713448454792 y[1] (numeric) = 1.681713448454804 absolute error = 1.13242748511766e-14 relative error = 6.733771952398711e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08045 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 1.683237201667695 y[1] (numeric) = 1.683237201667706 absolute error = 1.154631945610163e-14 relative error = 6.859591413890998e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07056 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 1.684763881219377 y[1] (numeric) = 1.684763881219389 absolute error = 1.154631945610163e-14 relative error = 6.853375469887671e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06065 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 1.686294484933571 y[1] (numeric) = 1.686294484933583 absolute error = 1.199040866595169e-14 relative error = 7.110506956573505e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05071 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 1.687830011241582 y[1] (numeric) = 1.687830011241594 absolute error = 1.221245327087672e-14 relative error = 7.235594336833208e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04075 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 1.689371459082457 y[1] (numeric) = 1.689371459082469 absolute error = 1.199040866595169e-14 relative error = 7.097556077136525e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03078 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 1.690919827803083 y[1] (numeric) = 1.690919827803095 absolute error = 1.176836406102666e-14 relative error = 6.959741004584842e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02079 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 1.692476117058258 y[1] (numeric) = 1.69247611705827 absolute error = 1.221245327087672e-14 relative error = 7.215731523646871e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0108 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = 1.569989505414941 y[1] (closed_form) = 1.694039679063014 y[1] (numeric) = 1.694039679063027 absolute error = 1.243449787580175e-14 relative error = 7.340145587781843e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.57999406075702 y[1] (closed_form) = 1.695615518081179 y[1] (numeric) = 1.695615518081191 absolute error = 1.221245327087672e-14 relative error = 7.202371729115091e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589998616099098 y[1] (closed_form) = 1.697202286803008 y[1] (numeric) = 1.69720228680302 absolute error = 1.243449787580175e-14 relative error = 7.326467783180055e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600003171441177 y[1] (closed_form) = 1.698800986482242 y[1] (numeric) = 1.698800986482254 absolute error = 1.221245327087672e-14 relative error = 7.188866364014429e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610007726783255 y[1] (closed_form) = 1.700412618180266 y[1] (numeric) = 1.700412618180277 absolute error = 1.13242748511766e-14 relative error = 6.65972172289307e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620012282125334 y[1] (closed_form) = 1.702038182665909 y[1] (numeric) = 1.702038182665919 absolute error = 1.088018564132653e-14 relative error = 6.392445100311944e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630016837467412 y[1] (closed_form) = 1.703678680315277 y[1] (numeric) = 1.703678680315287 absolute error = 9.992007221626409e-15 relative error = 5.864959946424475e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.64002139280949 y[1] (closed_form) = 1.70533511101163 y[1] (numeric) = 1.705335111011639 absolute error = 8.881784197001252e-15 relative error = 5.208233935752631e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650025948151569 y[1] (closed_form) = 1.707008474045296 y[1] (numeric) = 1.707008474045305 absolute error = 8.881784197001252e-15 relative error = 5.203128357033318e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660030503493647 y[1] (closed_form) = 1.708699768013658 y[1] (numeric) = 1.708699768013666 absolute error = 8.215650382226158e-15 relative error = 4.80812986343221e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670035058835726 y[1] (closed_form) = 1.7104099907212 y[1] (numeric) = 1.710409990721208 absolute error = 8.43769498715119e-15 relative error = 4.933141780581748e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680039614177804 y[1] (closed_form) = 1.712140139079637 y[1] (numeric) = 1.712140139079645 absolute error = 8.215650382226158e-15 relative error = 4.798468416634686e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690044169519883 y[1] (closed_form) = 1.713891209008138 y[1] (numeric) = 1.713891209008146 absolute error = 7.327471962526033e-15 relative error = 4.275342521166545e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700048724861961 y[1] (closed_form) = 1.715664195333639 y[1] (numeric) = 1.715664195333645 absolute error = 5.995204332975845e-15 relative error = 3.494392637721264e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.71005328020404 y[1] (closed_form) = 1.717460091691272 y[1] (numeric) = 1.717460091691278 absolute error = 5.551115123125783e-15 relative error = 3.232165422638328e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720057835546118 y[1] (closed_form) = 1.719279890424913 y[1] (numeric) = 1.719279890424918 absolute error = 4.884981308350689e-15 relative error = 2.841294972131259e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730062390888196 y[1] (closed_form) = 1.721124582487857 y[1] (numeric) = 1.721124582487862 absolute error = 4.662936703425657e-15 relative error = 2.709238338043757e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740066946230275 y[1] (closed_form) = 1.722995157343634 y[1] (numeric) = 1.722995157343639 absolute error = 5.10702591327572e-15 relative error = 2.964039621068521e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750071501572353 y[1] (closed_form) = 1.724892602866971 y[1] (numeric) = 1.724892602866975 absolute error = 4.218847493575595e-15 relative error = 2.445860969293614e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760076056914432 y[1] (closed_form) = 1.726817905244919 y[1] (numeric) = 1.726817905244923 absolute error = 3.996802888650564e-15 relative error = 2.314547976663287e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.77008061225651 y[1] (closed_form) = 1.728772048878142 y[1] (numeric) = 1.728772048878146 absolute error = 3.774758283725532e-15 relative error = 2.183491042775188e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780085167598589 y[1] (closed_form) = 1.73075601628239 y[1] (numeric) = 1.730756016282393 absolute error = 3.33066907387547e-15 relative error = 1.924401268891523e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790089722940667 y[1] (closed_form) = 1.732770787990158 y[1] (numeric) = 1.732770787990161 absolute error = 2.664535259100376e-15 relative error = 1.537730943739519e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800094278282746 y[1] (closed_form) = 1.734817342452544 y[1] (numeric) = 1.734817342452546 absolute error = 1.77635683940025e-15 relative error = 1.023944594010676e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810098833624824 y[1] (closed_form) = 1.736896655941317 y[1] (numeric) = 1.736896655941317 absolute error = 4.440892098500626e-16 relative error = 2.556796965041003e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820103388966902 y[1] (closed_form) = 1.739009702451197 y[1] (numeric) = 1.739009702451198 absolute error = 6.661338147750939e-16 relative error = 3.830535354898562e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830107944308981 y[1] (closed_form) = 1.741157453602376 y[1] (numeric) = 1.741157453602376 absolute error = 4.440892098500626e-16 relative error = 2.550540210658503e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840112499651059 y[1] (closed_form) = 1.743340878543259 y[1] (numeric) = 1.743340878543259 absolute error = 4.440892098500626e-16 relative error = 2.547345819259082e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850117054993138 y[1] (closed_form) = 1.745560943853469 y[1] (numeric) = 1.745560943853467 absolute error = 1.77635683940025e-15 relative error = 1.01764240638817e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860121610335216 y[1] (closed_form) = 1.747818613447097 y[1] (numeric) = 1.747818613447094 absolute error = 2.886579864025407e-15 relative error = 1.651532854620659e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870126165677295 y[1] (closed_form) = 1.750114848476226 y[1] (numeric) = 1.750114848476223 absolute error = 3.774758283725532e-15 relative error = 2.156863183585982e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880130721019373 y[1] (closed_form) = 1.752450607234729 y[1] (numeric) = 1.752450607234725 absolute error = 3.33066907387547e-15 relative error = 1.900578002099063e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890135276361452 y[1] (closed_form) = 1.754826845062349 y[1] (numeric) = 1.754826845062346 absolute error = 3.108624468950438e-15 relative error = 1.771470773710433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.90013983170353 y[1] (closed_form) = 1.757244514249087 y[1] (numeric) = 1.757244514249083 absolute error = 3.552713678800501e-15 relative error = 2.021752607558238e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910144387045609 y[1] (closed_form) = 1.759704563939879 y[1] (numeric) = 1.759704563939874 absolute error = 5.329070518200751e-15 relative error = 3.028389325915746e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919987578591847 y[1] (closed_form) = 1.762167214284641 y[1] (numeric) = 1.762167214284635 absolute error = 5.551115123125783e-15 relative error = 3.1501636610458e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929992133933925 y[1] (closed_form) = 1.764714137886733 y[1] (numeric) = 1.764714137886727 absolute error = 6.439293542825908e-15 relative error = 3.648915937477013e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939996689276004 y[1] (closed_form) = 1.767306254489213 y[1] (numeric) = 1.767306254489206 absolute error = 7.771561172376096e-15 relative error = 4.397404893823698e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950001244618082 y[1] (closed_form) = 1.769944499767627 y[1] (numeric) = 1.769944499767618 absolute error = 8.881784197001252e-15 relative error = 5.018114521764569e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960005799960161 y[1] (closed_form) = 1.772629805782301 y[1] (numeric) = 1.772629805782291 absolute error = 9.992007221626409e-15 relative error = 5.636826814618923e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970010355302239 y[1] (closed_form) = 1.775363100885057 y[1] (numeric) = 1.775363100885046 absolute error = 1.13242748511766e-14 relative error = 6.378568330912813e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980014910644318 y[1] (closed_form) = 1.778145309626288 y[1] (numeric) = 1.778145309626276 absolute error = 1.221245327087672e-14 relative error = 6.86808507986527e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990019465986396 y[1] (closed_form) = 1.780977352662422 y[1] (numeric) = 1.780977352662409 absolute error = 1.376676550535194e-14 relative error = 7.729893636643778e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000024021328474 y[1] (closed_form) = 1.783860146663773 y[1] (numeric) = 1.783860146663759 absolute error = 1.376676550535194e-14 relative error = 7.717401799181929e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010028576670553 y[1] (closed_form) = 1.78679460422279 y[1] (numeric) = 1.786794604222776 absolute error = 1.4210854715202e-14 relative error = 7.953267085996916e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020033132012631 y[1] (closed_form) = 1.789781633762718 y[1] (numeric) = 1.789781633762704 absolute error = 1.465494392505207e-14 relative error = 8.188118398691176e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.03003768735471 y[1] (closed_form) = 1.792822139446672 y[1] (numeric) = 1.792822139446656 absolute error = 1.576516694967722e-14 relative error = 8.793491893480805e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040042242696788 y[1] (closed_form) = 1.795917021087137 y[1] (numeric) = 1.79591702108712 absolute error = 1.754152378907747e-14 relative error = 9.7674467044468e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050046798038867 y[1] (closed_form) = 1.799067174055911 y[1] (numeric) = 1.799067174055892 absolute error = 1.887379141862766e-14 relative error = 1.049087643352282e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060051353380945 y[1] (closed_form) = 1.80227348919448 y[1] (numeric) = 1.80227348919446 absolute error = 1.976196983832779e-14 relative error = 1.096502276530757e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070055908723023 y[1] (closed_form) = 1.80553685272486 y[1] (numeric) = 1.805536852724839 absolute error = 2.065014825802791e-14 relative error = 1.143712366040236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080060464065102 y[1] (closed_form) = 1.808858146160889 y[1] (numeric) = 1.808858146160868 absolute error = 2.153832667772804e-14 relative error = 1.190713971874515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09006501940718 y[1] (closed_form) = 1.812238246220002 y[1] (numeric) = 1.81223824621998 absolute error = 2.242650509742816e-14 relative error = 1.23750313427088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100069574749259 y[1] (closed_form) = 1.815678024735475 y[1] (numeric) = 1.815678024735451 absolute error = 2.353672812205332e-14 relative error = 1.29630517092822e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110074130091337 y[1] (closed_form) = 1.819178348569164 y[1] (numeric) = 1.81917834856914 absolute error = 2.420286193682841e-14 relative error = 1.33042820984895e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120078685433416 y[1] (closed_form) = 1.822740079524743 y[1] (numeric) = 1.822740079524717 absolute error = 2.55351295663786e-14 relative error = 1.400919958540472e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130083240775494 y[1] (closed_form) = 1.826364074261444 y[1] (numeric) = 1.826364074261417 absolute error = 2.686739719592879e-14 relative error = 1.471086601766057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140087796117573 y[1] (closed_form) = 1.830051184208314 y[1] (numeric) = 1.830051184208286 absolute error = 2.819966482547898e-14 relative error = 1.540922192166895e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150092351459651 y[1] (closed_form) = 1.833802255478994 y[1] (numeric) = 1.833802255478965 absolute error = 2.930988785010413e-14 relative error = 1.598312345975838e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160096906801729 y[1] (closed_form) = 1.837618128787033 y[1] (numeric) = 1.837618128787004 absolute error = 2.953193245502916e-14 relative error = 1.607076682168045e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170101462143808 y[1] (closed_form) = 1.841499639361742 y[1] (numeric) = 1.841499639361712 absolute error = 3.064215547965432e-14 relative error = 1.663978358978924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180106017485886 y[1] (closed_form) = 1.845447616864591 y[1] (numeric) = 1.845447616864559 absolute error = 3.175237850427948e-14 relative error = 1.720578693977056e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190110572827965 y[1] (closed_form) = 1.849462885306172 y[1] (numeric) = 1.849462885306139 absolute error = 3.286260152890463e-14 relative error = 1.776872722885939e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200115128170043 y[1] (closed_form) = 1.853546262963722 y[1] (numeric) = 1.853546262963689 absolute error = 3.33066907387547e-14 relative error = 1.796917153041493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210119683512122 y[1] (closed_form) = 1.857698562299222 y[1] (numeric) = 1.857698562299188 absolute error = 3.441691376337985e-14 relative error = 1.852664068425773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.2201242388542 y[1] (closed_form) = 1.861920589878077 y[1] (numeric) = 1.861920589878041 absolute error = 3.597122599785507e-14 relative error = 1.931942006195364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230128794196279 y[1] (closed_form) = 1.866213146288387 y[1] (numeric) = 1.86621314628835 absolute error = 3.708144902248023e-14 relative error = 1.986988951194004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240133349538357 y[1] (closed_form) = 1.870577026060814 y[1] (numeric) = 1.870577026060776 absolute error = 3.863576125695545e-14 relative error = 2.06544615477916e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250137904880436 y[1] (closed_form) = 1.875013017589062 y[1] (numeric) = 1.875013017589022 absolute error = 4.019007349143067e-14 relative error = 2.143455704809349e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260142460222514 y[1] (closed_form) = 1.87952190305096 y[1] (numeric) = 1.879521903050918 absolute error = 4.152234112098085e-14 relative error = 2.209196980018118e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269985651768752 y[1] (closed_form) = 1.884029957573108 y[1] (numeric) = 1.884029957573065 absolute error = 4.307665335545607e-14 relative error = 2.286410212444009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279990207110831 y[1] (closed_form) = 1.888685745475244 y[1] (numeric) = 1.8886857454752 absolute error = 4.418687638008123e-14 relative error = 2.339556831301368e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289994762452909 y[1] (closed_form) = 1.893416723513667 y[1] (numeric) = 1.893416723513621 absolute error = 4.551914400963142e-14 relative error = 2.404074256044399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999317794988 y[1] (closed_form) = 1.898223648332023 y[1] (numeric) = 1.898223648331976 absolute error = 4.618527782440651e-14 relative error = 2.433078834782704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310003873137066 y[1] (closed_form) = 1.903107269974236 y[1] (numeric) = 1.903107269974188 absolute error = 4.773959005888173e-14 relative error = 2.508507576639546e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320008428479145 y[1] (closed_form) = 1.908068331809441 y[1] (numeric) = 1.908068331809392 absolute error = 4.907185768843192e-14 relative error = 2.571808193152944e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330012983821223 y[1] (closed_form) = 1.913107570457575 y[1] (numeric) = 1.913107570457525 absolute error = 4.951594689828198e-14 relative error = 2.588246874504752e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340017539163302 y[1] (closed_form) = 1.918225715715647 y[1] (numeric) = 1.918225715715596 absolute error = 5.10702591327572e-14 relative error = 2.662369642651987e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.35002209450538 y[1] (closed_form) = 1.9234234904847 y[1] (numeric) = 1.923423490484647 absolute error = 5.284661597215745e-14 relative error = 2.747528884491277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360026649847458 y[1] (closed_form) = 1.928701610697447 y[1] (numeric) = 1.928701610697394 absolute error = 5.306866057708248e-14 relative error = 2.75152259337265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370031205189537 y[1] (closed_form) = 1.934060785246621 y[1] (numeric) = 1.934060785246567 absolute error = 5.373479439185758e-14 relative error = 2.778340515549288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380035760531615 y[1] (closed_form) = 1.939501715914014 y[1] (numeric) = 1.939501715913959 absolute error = 5.52891066263328e-14 relative error = 2.850686141325588e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390040315873694 y[1] (closed_form) = 1.945025097300242 y[1] (numeric) = 1.945025097300185 absolute error = 5.662137425588298e-14 relative error = 2.911087077204057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400044871215772 y[1] (closed_form) = 1.950631616755217 y[1] (numeric) = 1.950631616755159 absolute error = 5.795364188543317e-14 relative error = 2.971019304087581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410049426557851 y[1] (closed_form) = 1.956321954309354 y[1] (numeric) = 1.956321954309294 absolute error = 5.928590951498336e-14 relative error = 3.030478157462239e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420053981899929 y[1] (closed_form) = 1.962096782605505 y[1] (numeric) = 1.962096782605443 absolute error = 6.128431095930864e-14 relative error = 3.123409176479463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430058537242008 y[1] (closed_form) = 1.967956766831633 y[1] (numeric) = 1.967956766831571 absolute error = 6.217248937900877e-14 relative error = 3.159240610712455e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440063092584086 y[1] (closed_form) = 1.973902564654235 y[1] (numeric) = 1.973902564654171 absolute error = 6.417089082333405e-14 relative error = 3.250965471772147e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450067647926164 y[1] (closed_form) = 1.979934826152514 y[1] (numeric) = 1.979934826152448 absolute error = 6.616929226765933e-14 relative error = 3.341993453200783e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460072203268243 y[1] (closed_form) = 1.986054193753315 y[1] (numeric) = 1.986054193753247 absolute error = 6.816769371198461e-14 relative error = 3.432317905845202e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470076758610321 y[1] (closed_form) = 1.992261302166822 y[1] (numeric) = 1.992261302166751 absolute error = 7.061018436615996e-14 relative error = 3.544223053941918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4800813139524 y[1] (closed_form) = 1.998556778323028 y[1] (numeric) = 1.998556778322956 absolute error = 7.283063041541027e-14 relative error = 3.644161186980228e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490085869294478 y[1] (closed_form) = 2.004941241308993 y[1] (numeric) = 2.004941241308918 absolute error = 7.505107646466058e-14 relative error = 3.743305535261521e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500090424636557 y[1] (closed_form) = 2.011415302306868 y[1] (numeric) = 2.011415302306791 absolute error = 7.682743330406083e-14 relative error = 3.819570887024096e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510094979978635 y[1] (closed_form) = 2.017979564532733 y[1] (numeric) = 2.017979564532656 absolute error = 7.771561172376096e-14 relative error = 3.851159500802782e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520099535320714 y[1] (closed_form) = 2.024634623176213 y[1] (numeric) = 2.024634623176133 absolute error = 7.993605777301127e-14 relative error = 3.948172023632042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530104090662792 y[1] (closed_form) = 2.031381065340909 y[1] (numeric) = 2.031381065340828 absolute error = 8.08242361927114e-14 relative error = 3.978782591396626e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540108646004871 y[1] (closed_form) = 2.038219469985632 y[1] (numeric) = 2.03821946998555 absolute error = 8.260059303211165e-14 relative error = 4.052585810726943e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550113201346949 y[1] (closed_form) = 2.04515040786646 y[1] (numeric) = 2.045150407866376 absolute error = 8.393286066166183e-14 relative error = 4.103994519856474e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560117756689027 y[1] (closed_form) = 2.052174441479603 y[1] (numeric) = 2.052174441479516 absolute error = 8.659739592076221e-14 relative error = 4.219787273947633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570122312031106 y[1] (closed_form) = 2.059292125005109 y[1] (numeric) = 2.059292125005023 absolute error = 8.615330671091215e-14 relative error = 4.183636972374591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580126867373184 y[1] (closed_form) = 2.066504004251396 y[1] (numeric) = 2.066504004251308 absolute error = 8.79296635503124e-14 relative error = 4.254996040143919e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590131422715263 y[1] (closed_form) = 2.073810616600616 y[1] (numeric) = 2.073810616600525 absolute error = 9.103828801926284e-14 relative error = 4.389903653231968e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600135978057341 y[1] (closed_form) = 2.081212490954873 y[1] (numeric) = 2.081212490954782 absolute error = 9.103828801926284e-14 relative error = 4.374290872024024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.61014053339942 y[1] (closed_form) = 2.088710147683287 y[1] (numeric) = 2.088710147683191 absolute error = 9.547918011776346e-14 relative error = 4.571202961007544e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620145088741498 y[1] (closed_form) = 2.096304098569903 y[1] (numeric) = 2.096304098569806 absolute error = 9.681144774731365e-14 relative error = 4.618196749858876e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629988280287737 y[1] (closed_form) = 2.103870031798011 y[1] (numeric) = 2.103870031797912 absolute error = 9.903189379656396e-14 relative error = 4.707129827403324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639992835629815 y[1] (closed_form) = 2.111656498658081 y[1] (numeric) = 2.111656498657982 absolute error = 9.903189379656396e-14 relative error = 4.689772880177099e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649997390971893 y[1] (closed_form) = 2.11954073524545 y[1] (numeric) = 2.119540735245348 absolute error = 1.012523398458143e-13 relative error = 4.777088647654084e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660001946313972 y[1] (closed_form) = 2.127523218642374 y[1] (numeric) = 2.12752321864227 absolute error = 1.034727858950646e-13 relative error = 4.863532627441462e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.67000650165605 y[1] (closed_form) = 2.135604417099374 y[1] (numeric) = 2.135604417099269 absolute error = 1.056932319443149e-13 relative error = 4.949101579770555e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680011056998129 y[1] (closed_form) = 2.143784789988368 y[1] (numeric) = 2.14378478998826 absolute error = 1.079136779935652e-13 relative error = 5.033792500885816e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690015612340207 y[1] (closed_form) = 2.152064787756688 y[1] (numeric) = 2.152064787756578 absolute error = 1.101341240428155e-13 relative error = 5.11760262373975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700020167682286 y[1] (closed_form) = 2.160444851881998 y[1] (numeric) = 2.160444851881886 absolute error = 1.123545700920658e-13 relative error = 5.200529418475643e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710024723024364 y[1] (closed_form) = 2.168925414828109 y[1] (numeric) = 2.168925414827995 absolute error = 1.145750161413162e-13 relative error = 5.282570592700459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720029278366443 y[1] (closed_form) = 2.177506900001688 y[1] (numeric) = 2.177506900001573 absolute error = 1.154631945610163e-13 relative error = 5.302540927008165e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730033833708521 y[1] (closed_form) = 2.186189721709883 y[1] (numeric) = 2.186189721709765 absolute error = 1.172395514004165e-13 relative error = 5.362734543858346e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740038389050599 y[1] (closed_form) = 2.194974285118852 y[1] (numeric) = 2.194974285118732 absolute error = 1.194599974496668e-13 relative error = 5.442432663542498e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750042944392678 y[1] (closed_form) = 2.203860986213213 y[1] (numeric) = 2.203860986213092 absolute error = 1.212363542890671e-13 relative error = 5.501089000054473e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760047499734756 y[1] (closed_form) = 2.212850211756408 y[1] (numeric) = 2.212850211756286 absolute error = 1.225686219186173e-13 relative error = 5.538947971599521e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770052055076835 y[1] (closed_form) = 2.221942339251992 y[1] (numeric) = 2.221942339251869 absolute error = 1.234568003383174e-13 relative error = 5.556255810845147e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780056610418913 y[1] (closed_form) = 2.231137736905848 y[1] (numeric) = 2.231137736905721 absolute error = 1.265654248072678e-13 relative error = 5.672685406809055e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790061165760992 y[1] (closed_form) = 2.240436763589333 y[1] (numeric) = 2.240436763589203 absolute error = 1.301181384860683e-13 relative error = 5.807713058484641e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.80006572110307 y[1] (closed_form) = 2.24983976880336 y[1] (numeric) = 2.249839768803229 absolute error = 1.310063169057685e-13 relative error = 5.822917646061871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810070276445149 y[1] (closed_form) = 2.259347092643416 y[1] (numeric) = 2.259347092643282 absolute error = 1.341149413747189e-13 relative error = 5.936004335562519e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820074831787227 y[1] (closed_form) = 2.268959065765521 y[1] (numeric) = 2.268959065765384 absolute error = 1.367794766338193e-13 relative error = 6.028291946627581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830079387129306 y[1] (closed_form) = 2.278676009353131 y[1] (numeric) = 2.278676009352993 absolute error = 1.385558334732195e-13 relative error = 6.080541196049748e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840083942471384 y[1] (closed_form) = 2.288498235084995 y[1] (numeric) = 2.288498235084853 absolute error = 1.4166445794217e-13 relative error = 6.190280410546551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850088497813462 y[1] (closed_form) = 2.298426045103954 y[1] (numeric) = 2.29842604510381 absolute error = 1.434408147815702e-13 relative error = 6.240827939063955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860093053155541 y[1] (closed_form) = 2.308459731986703 y[1] (numeric) = 2.308459731986556 absolute error = 1.474376176702208e-13 relative error = 6.386839485535805e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870097608497619 y[1] (closed_form) = 2.318599578714507 y[1] (numeric) = 2.318599578714355 absolute error = 1.523225989785715e-13 relative error = 6.569594869978506e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880102163839698 y[1] (closed_form) = 2.328845858644873 y[1] (numeric) = 2.328845858644717 absolute error = 1.56319401867222e-13 relative error = 6.712312078833005e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890106719181776 y[1] (closed_form) = 2.339198835484196 y[1] (numeric) = 2.339198835484038 absolute error = 1.580957587066223e-13 relative error = 6.758542980973128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900111274523855 y[1] (closed_form) = 2.349658763261359 y[1] (numeric) = 2.349658763261198 absolute error = 1.607602939657227e-13 relative error = 6.841857059387856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910115829865933 y[1] (closed_form) = 2.360225886302309 y[1] (numeric) = 2.360225886302147 absolute error = 1.620925615952729e-13 relative error = 6.867671545167999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920120385208012 y[1] (closed_form) = 2.370900439205604 y[1] (numeric) = 2.370900439205439 absolute error = 1.652011860642233e-13 relative error = 6.967866863257056e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.93012494055009 y[1] (closed_form) = 2.381682646818931 y[1] (numeric) = 2.381682646818763 absolute error = 1.683098105331737e-13 relative error = 7.066844558739803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940129495892168 y[1] (closed_form) = 2.392572724216599 y[1] (numeric) = 2.392572724216429 absolute error = 1.70086167372574e-13 relative error = 7.1089236139422e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950134051234247 y[1] (closed_form) = 2.403570876678015 y[1] (numeric) = 2.403570876677841 absolute error = 1.736388810513745e-13 relative error = 7.224204733723579e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960138606576325 y[1] (closed_form) = 2.414677299667135 y[1] (numeric) = 2.414677299666959 absolute error = 1.767475055203249e-13 relative error = 7.319715373341592e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970143161918404 y[1] (closed_form) = 2.425892178812903 y[1] (numeric) = 2.425892178812722 absolute error = 1.811883976188255e-13 relative error = 7.468938611586979e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979986353464642 y[1] (closed_form) = 2.437032189797653 y[1] (numeric) = 2.437032189797468 absolute error = 1.84297022087776e-13 relative error = 7.562354853551532e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989990908806721 y[1] (closed_form) = 2.448462742643271 y[1] (numeric) = 2.448462742643083 absolute error = 1.874056465567264e-13 relative error = 7.65401258891161e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999995464148799 y[1] (closed_form) = 2.460002246903565 y[1] (numeric) = 2.460002246903371 absolute error = 1.931788062847772e-13 relative error = 7.852789830900919e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010000019490878 y[1] (closed_form) = 2.471650848851346 y[1] (numeric) = 2.471650848851151 absolute error = 1.953992523340276e-13 relative error = 7.905617107077876e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020004574832956 y[1] (closed_form) = 2.483408684841625 y[1] (numeric) = 2.483408684841427 absolute error = 1.980637875931279e-13 relative error = 7.975480991190908e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030009130175034 y[1] (closed_form) = 2.495275881297959 y[1] (numeric) = 2.49527588129776 absolute error = 1.98507876802978e-13 relative error = 7.955347875190493e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040013685517113 y[1] (closed_form) = 2.507252554699797 y[1] (numeric) = 2.507252554699595 absolute error = 2.025046796916286e-13 relative error = 8.076756340801703e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050018240859191 y[1] (closed_form) = 2.519338811570827 y[1] (numeric) = 2.519338811570621 absolute error = 2.065014825802791e-13 relative error = 8.196653885212202e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.06002279620127 y[1] (closed_form) = 2.531534748468309 y[1] (numeric) = 2.531534748468099 absolute error = 2.096101070492296e-13 relative error = 8.279961678426614e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070027351543348 y[1] (closed_form) = 2.543840451973411 y[1] (numeric) = 2.543840451973197 absolute error = 2.144950883575802e-13 relative error = 8.431939518501777e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080031906885427 y[1] (closed_form) = 2.556255998682545 y[1] (numeric) = 2.556255998682328 absolute error = 2.171596236166806e-13 relative error = 8.495222064167333e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090036462227505 y[1] (closed_form) = 2.568781455199701 y[1] (numeric) = 2.568781455199479 absolute error = 2.211564265053312e-13 relative error = 8.609390497493225e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100041017569584 y[1] (closed_form) = 2.581416878129776 y[1] (numeric) = 2.58141687812955 absolute error = 2.255973186038318e-13 relative error = 8.739282698394533e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110045572911662 y[1] (closed_form) = 2.594162314072915 y[1] (numeric) = 2.594162314072685 absolute error = 2.295941214924824e-13 relative error = 8.850414650115418e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120050128253741 y[1] (closed_form) = 2.60701779961984 y[1] (numeric) = 2.607017799619607 absolute error = 2.331468351712829e-13 relative error = 8.943047308893739e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130054683595819 y[1] (closed_form) = 2.619983361348194 y[1] (numeric) = 2.619983361347956 absolute error = 2.384759056894836e-13 relative error = 9.102191609597413e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140059238937897 y[1] (closed_form) = 2.633059015819877 y[1] (numeric) = 2.633059015819635 absolute error = 2.420286193682841e-13 relative error = 9.191917762349194e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150063794279976 y[1] (closed_form) = 2.646244769579387 y[1] (numeric) = 2.646244769579142 absolute error = 2.446931546273845e-13 relative error = 9.246807303705233e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160068349622054 y[1] (closed_form) = 2.659540619153169 y[1] (numeric) = 2.659540619152923 absolute error = 2.469136006766348e-13 relative error = 9.284069545636614e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170072904964133 y[1] (closed_form) = 2.672946551049963 y[1] (numeric) = 2.672946551049712 absolute error = 2.509104035652854e-13 relative error = 9.387034075437275e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180077460306211 y[1] (closed_form) = 2.686462541762145 y[1] (numeric) = 2.686462541761892 absolute error = 2.531308496145357e-13 relative error = 9.422459672506665e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.19008201564829 y[1] (closed_form) = 2.700088557768095 y[1] (numeric) = 2.700088557767838 absolute error = 2.571276525031863e-13 relative error = 9.52293404464219e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200086570990368 y[1] (closed_form) = 2.71382455553554 y[1] (numeric) = 2.713824555535279 absolute error = 2.606803661819868e-13 relative error = 9.605645495773204e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210091126332447 y[1] (closed_form) = 2.727670481525915 y[1] (numeric) = 2.727670481525652 absolute error = 2.629008122312371e-13 relative error = 9.63829076905818e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220095681674525 y[1] (closed_form) = 2.741626272199724 y[1] (numeric) = 2.741626272199456 absolute error = 2.677857935395878e-13 relative error = 9.767406894767307e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230100237016603 y[1] (closed_form) = 2.755691854022896 y[1] (numeric) = 2.755691854022624 absolute error = 2.717825964282383e-13 relative error = 9.862590261370355e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240104792358682 y[1] (closed_form) = 2.769867143474148 y[1] (numeric) = 2.769867143473872 absolute error = 2.757793993168889e-13 relative error = 9.956412529266237e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.25010934770076 y[1] (closed_form) = 2.784152047053342 y[1] (numeric) = 2.784152047053061 absolute error = 2.811084698350896e-13 relative error = 1.009673556200373e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260113903042839 y[1] (closed_form) = 2.798546461290847 y[1] (numeric) = 2.798546461290562 absolute error = 2.851052727237402e-13 relative error = 1.018761977574007e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270118458384917 y[1] (closed_form) = 2.813050272757891 y[1] (numeric) = 2.813050272757602 absolute error = 2.891020756123908e-13 relative error = 1.027717415547492e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280123013726996 y[1] (closed_form) = 2.827663358077917 y[1] (numeric) = 2.827663358077624 absolute error = 2.935429677108914e-13 relative error = 1.038111438804459e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290127569069074 y[1] (closed_form) = 2.842385583938932 y[1] (numeric) = 2.842385583938634 absolute error = 2.97983859809392e-13 relative error = 1.048358327924147e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300132124411153 y[1] (closed_form) = 2.857216807106849 y[1] (numeric) = 2.857216807106547 absolute error = 3.019806626980426e-13 relative error = 1.056904964113735e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310136679753231 y[1] (closed_form) = 2.872156874439822 y[1] (numeric) = 2.872156874439517 absolute error = 3.05089287166993e-13 relative error = 1.062230583162338e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320141235095309 y[1] (closed_form) = 2.887205622903578 y[1] (numeric) = 2.887205622903269 absolute error = 3.090860900556436e-13 relative error = 1.07053715746371e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329984426641548 y[1] (closed_form) = 2.902117547699266 y[1] (numeric) = 2.902117547698952 absolute error = 3.130828929442941e-13 relative error = 1.078808448653292e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339988981983626 y[1] (closed_form) = 2.91738138415176 y[1] (numeric) = 2.917381384151442 absolute error = 3.175237850427948e-13 relative error = 1.088386272592591e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349993537325705 y[1] (closed_form) = 2.932753356630347 y[1] (numeric) = 2.932753356630026 absolute error = 3.210764987215953e-13 relative error = 1.094795435135068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359998092667783 y[1] (closed_form) = 2.948233262862345 y[1] (numeric) = 2.948233262862019 absolute error = 3.255173908200959e-13 relative error = 1.104110027250902e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370002648009862 y[1] (closed_form) = 2.963820890773761 y[1] (numeric) = 2.963820890773432 absolute error = 3.295141937087465e-13 relative error = 1.111788484704015e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.38000720335194 y[1] (closed_form) = 2.979516018510526 y[1] (numeric) = 2.979516018510195 absolute error = 3.312905505481467e-13 relative error = 1.111893839435575e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390011758694019 y[1] (closed_form) = 2.995318414460696 y[1] (numeric) = 2.99531841446036 absolute error = 3.357314426466473e-13 relative error = 1.120853933344163e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400016314036097 y[1] (closed_form) = 3.011227837277635 y[1] (numeric) = 3.011227837277295 absolute error = 3.397282455352979e-13 relative error = 1.128205050875315e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410020869378176 y[1] (closed_form) = 3.027244035904171 y[1] (numeric) = 3.027244035903827 absolute error = 3.441691376337985e-13 relative error = 1.136905824412675e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420025424720254 y[1] (closed_form) = 3.043366749597727 y[1] (numeric) = 3.043366749597377 absolute error = 3.499422973618493e-13 relative error = 1.149852535545066e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430029980062332 y[1] (closed_form) = 3.059595707956414 y[1] (numeric) = 3.059595707956062 absolute error = 3.521627434110997e-13 relative error = 1.15101071195553e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440034535404411 y[1] (closed_form) = 3.075930630946102 y[1] (numeric) = 3.075930630945746 absolute error = 3.561595462997502e-13 relative error = 1.157891997682021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450039090746489 y[1] (closed_form) = 3.092371228928442 y[1] (numeric) = 3.09237122892808 absolute error = 3.610445276081009e-13 relative error = 1.167532941163758e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460043646088568 y[1] (closed_form) = 3.108917202689859 y[1] (numeric) = 3.108917202689494 absolute error = 3.645972412869014e-13 relative error = 1.172746707347012e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470048201430646 y[1] (closed_form) = 3.125568243471502 y[1] (numeric) = 3.125568243471131 absolute error = 3.708144902248023e-13 relative error = 1.186390637924279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480052756772725 y[1] (closed_form) = 3.142324033000147 y[1] (numeric) = 3.142324032999771 absolute error = 3.76143560743003e-13 relative error = 1.197023466685192e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490057312114803 y[1] (closed_form) = 3.15918424352005 y[1] (numeric) = 3.15918424351967 absolute error = 3.796962744218035e-13 relative error = 1.201880755136761e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500061867456882 y[1] (closed_form) = 3.176148537825755 y[1] (numeric) = 3.176148537825371 absolute error = 3.845812557301542e-13 relative error = 1.210841530709457e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.51006642279896 y[1] (closed_form) = 3.193216569295847 y[1] (numeric) = 3.193216569295457 absolute error = 3.890221478286549e-13 relative error = 1.218276741919951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520070978141038 y[1] (closed_form) = 3.210387981927638 y[1] (numeric) = 3.210387981927243 absolute error = 3.943512183468556e-13 relative error = 1.228360000619216e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530075533483117 y[1] (closed_form) = 3.227662410372808 y[1] (numeric) = 3.22766241037241 absolute error = 3.979039320256561e-13 relative error = 1.232792905314086e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540080088825195 y[1] (closed_form) = 3.24503947997397 y[1] (numeric) = 3.245039479973566 absolute error = 4.032330025438569e-13 relative error = 1.242613549179659e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550084644167274 y[1] (closed_form) = 3.262518806802164 y[1] (numeric) = 3.262518806801756 absolute error = 4.081179838522075e-13 relative error = 1.250929137944906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560089199509352 y[1] (closed_form) = 3.280099997695294 y[1] (numeric) = 3.280099997694882 absolute error = 4.11670697531008e-13 relative error = 1.255055327033509e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570093754851431 y[1] (closed_form) = 3.297782650297472 y[1] (numeric) = 3.297782650297056 absolute error = 4.156675004196586e-13 relative error = 1.260445409833677e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580098310193509 y[1] (closed_form) = 3.315566353099295 y[1] (numeric) = 3.315566353098874 absolute error = 4.209965709378594e-13 relative error = 1.269757640483726e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590102865535588 y[1] (closed_form) = 3.333450685479028 y[1] (numeric) = 3.333450685478603 absolute error = 4.249933738265099e-13 relative error = 1.27493523656384e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600107420877666 y[1] (closed_form) = 3.351435217744711 y[1] (numeric) = 3.351435217744281 absolute error = 4.298783551348606e-13 relative error = 1.282669445194109e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610111976219744 y[1] (closed_form) = 3.36951951117716 y[1] (numeric) = 3.369519511176724 absolute error = 4.356515148629114e-13 relative error = 1.292918807615731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620116531561823 y[1] (closed_form) = 3.387703118073883 y[1] (numeric) = 3.387703118073443 absolute error = 4.400924069614121e-13 relative error = 1.299087882327869e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630121086903901 y[1] (closed_form) = 3.405985581793888 y[1] (numeric) = 3.405985581793444 absolute error = 4.440892098500626e-13 relative error = 1.303849353396753e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.64012564224598 y[1] (closed_form) = 3.424366436803393 y[1] (numeric) = 3.424366436802944 absolute error = 4.485301019485632e-13 relative error = 1.309819232918487e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650130197588058 y[1] (closed_form) = 3.442845208722413 y[1] (numeric) = 3.44284520872196 absolute error = 4.529709940470639e-13 relative error = 1.315687945828835e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660134752930137 y[1] (closed_form) = 3.461421414372251 y[1] (numeric) = 3.461421414371793 absolute error = 4.583000645652646e-13 relative error = 1.324022734308934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670139308272215 y[1] (closed_form) = 3.48009456182385 y[1] (numeric) = 3.480094561823385 absolute error = 4.649614027130156e-13 relative error = 1.336059680140813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680143863614294 y[1] (closed_form) = 3.498864150447039 y[1] (numeric) = 3.498864150446569 absolute error = 4.698463840213662e-13 relative error = 1.342854034390948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689987055160532 y[1] (closed_form) = 3.517424629911444 y[1] (numeric) = 3.517424629910971 absolute error = 4.738431869100168e-13 relative error = 1.347131031268029e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.69999161050261 y[1] (closed_form) = 3.536384029652613 y[1] (numeric) = 3.536384029652133 absolute error = 4.796163466380676e-13 relative error = 1.356233776129742e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709996165844689 y[1] (closed_form) = 3.555438325531894 y[1] (numeric) = 3.555438325531409 absolute error = 4.840572387365683e-13 relative error = 1.361455872432138e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720000721186767 y[1] (closed_form) = 3.574586982760958 y[1] (numeric) = 3.574586982760466 absolute error = 4.916067553040193e-13 relative error = 1.375282676501859e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730005276528846 y[1] (closed_form) = 3.593829458108636 y[1] (numeric) = 3.593829458108138 absolute error = 4.982680934517703e-13 relative error = 1.386454474982236e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740009831870924 y[1] (closed_form) = 3.613165199955291 y[1] (numeric) = 3.613165199954788 absolute error = 5.022648963404208e-13 relative error = 1.390096684055951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750014387213003 y[1] (closed_form) = 3.632593648348029 y[1] (numeric) = 3.632593648347523 absolute error = 5.058176100192213e-13 relative error = 1.392442037245891e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760018942555081 y[1] (closed_form) = 3.652114235056747 y[1] (numeric) = 3.652114235056235 absolute error = 5.111466805374221e-13 relative error = 1.399591161828704e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.77002349789716 y[1] (closed_form) = 3.671726383631005 y[1] (numeric) = 3.671726383630489 absolute error = 5.160316618457728e-13 relative error = 1.405419707051984e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780028053239238 y[1] (closed_form) = 3.691429509457724 y[1] (numeric) = 3.691429509457202 absolute error = 5.226929999935237e-13 relative error = 1.415963649459767e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790032608581317 y[1] (closed_form) = 3.711223019819701 y[1] (numeric) = 3.711223019819175 absolute error = 5.262457136723242e-13 relative error = 1.417984612786462e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800037163923395 y[1] (closed_form) = 3.731106313954934 y[1] (numeric) = 3.731106313954403 absolute error = 5.306866057708248e-13 relative error = 1.42233043262791e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810041719265473 y[1] (closed_form) = 3.751078783116749 y[1] (numeric) = 3.751078783116211 absolute error = 5.382361223382759e-13 relative error = 1.434883545397195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820046274607552 y[1] (closed_form) = 3.771139810634736 y[1] (numeric) = 3.771139810634194 absolute error = 5.417888360170764e-13 relative error = 1.436671306879725e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.83005082994963 y[1] (closed_form) = 3.791288771976466 y[1] (numeric) = 3.791288771975918 absolute error = 5.484501741648273e-13 relative error = 1.446606173127009e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840055385291709 y[1] (closed_form) = 3.811525034810003 y[1] (numeric) = 3.81152503480945 absolute error = 5.52891066263328e-13 relative error = 1.450577029440628e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850059940633787 y[1] (closed_form) = 3.831847959067196 y[1] (numeric) = 3.831847959066637 absolute error = 5.591083152012288e-13 relative error = 1.459108819488065e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860064495975866 y[1] (closed_form) = 3.85225689700774 y[1] (numeric) = 3.852256897007176 absolute error = 5.639932965095795e-13 relative error = 1.464059411374314e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870069051317944 y[1] (closed_form) = 3.872751193284009 y[1] (numeric) = 3.872751193283441 absolute error = 5.679900993982301e-13 relative error = 1.466632042830995e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880073606660023 y[1] (closed_form) = 3.893330185006656 y[1] (numeric) = 3.893330185006081 absolute error = 5.74207348336131e-13 relative error = 1.474848833904257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890078162002101 y[1] (closed_form) = 3.913993201810951 y[1] (numeric) = 3.913993201810372 absolute error = 5.795364188543317e-13 relative error = 1.480678143708038e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900082717344179 y[1] (closed_form) = 3.934739565923889 y[1] (numeric) = 3.934739565923302 absolute error = 5.870859354217828e-13 relative error = 1.492057925526091e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910087272686258 y[1] (closed_form) = 3.95556859223202 y[1] (numeric) = 3.955568592231428 absolute error = 5.915268275202834e-13 relative error = 1.495428062306716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920091828028336 y[1] (closed_form) = 3.976479588350029 y[1] (numeric) = 3.97647958834943 absolute error = 5.981881656680343e-13 relative error = 1.504315946749879e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930096383370415 y[1] (closed_form) = 3.997471854690029 y[1] (numeric) = 3.997471854689425 absolute error = 6.039613253960852e-13 relative error = 1.510858230777756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940100938712493 y[1] (closed_form) = 4.018544684531594 y[1] (numeric) = 4.018544684530983 absolute error = 6.10178574333986e-13 relative error = 1.518406841866707e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950105494054572 y[1] (closed_form) = 4.039697364092483 y[1] (numeric) = 4.039697364091867 absolute error = 6.155076448521868e-13 relative error = 1.523647910665854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96011004939665 y[1] (closed_form) = 4.06092917260009 y[1] (numeric) = 4.060929172599471 absolute error = 6.199485369506874e-13 relative error = 1.526617457732593e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970114604738729 y[1] (closed_form) = 4.082239382363587 y[1] (numeric) = 4.082239382362963 absolute error = 6.24389429049188e-13 relative error = 1.529526739041136e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980119160080807 y[1] (closed_form) = 4.103627258846754 y[1] (numeric) = 4.103627258846125 absolute error = 6.288303211476887e-13 relative error = 1.53237680101679e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990123715422885 y[1] (closed_form) = 4.125092060741501 y[1] (numeric) = 4.125092060740864 absolute error = 6.368239269249898e-13 relative error = 1.543781126694463e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000128270764963 y[1] (closed_form) = 4.146633040042066 y[1] (numeric) = 4.146633040041428 absolute error = 6.377121053446899e-13 relative error = 1.53790340063036e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010132826107042 y[1] (closed_form) = 4.168249442119886 y[1] (numeric) = 4.168249442119246 absolute error = 6.394884621840902e-13 relative error = 1.534189522637732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.02013738144912 y[1] (closed_form) = 4.189940505799122 y[1] (numeric) = 4.189940505798472 absolute error = 6.492584248007915e-13 relative error = 1.549564782369058e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030141936791199 y[1] (closed_form) = 4.21170546343285 y[1] (numeric) = 4.211705463432195 absolute error = 6.545874953189923e-13 relative error = 1.554210048642517e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039985128337437 y[1] (closed_form) = 4.233190737843034 y[1] (numeric) = 4.233190737842376 absolute error = 6.581402089977928e-13 relative error = 1.554714279973927e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049989683679516 y[1] (closed_form) = 4.255099994402959 y[1] (numeric) = 4.255099994402295 absolute error = 6.634692795159935e-13 relative error = 1.559233109418587e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059994239021594 y[1] (closed_form) = 4.277080816657746 y[1] (numeric) = 4.277080816657072 absolute error = 6.732392421326949e-13 relative error = 1.574062476235337e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069998794363673 y[1] (closed_form) = 4.299132411949552 y[1] (numeric) = 4.299132411948872 absolute error = 6.803446694902959e-13 relative error = 1.582516201639335e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080003349705751 y[1] (closed_form) = 4.321253981538654 y[1] (numeric) = 4.32125398153797 absolute error = 6.847855615887966e-13 relative error = 1.584691768904005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.09000790504783 y[1] (closed_form) = 4.343444720683399 y[1] (numeric) = 4.343444720682711 absolute error = 6.883382752675971e-13 relative error = 1.584775033488382e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100012460389908 y[1] (closed_form) = 4.365703818720744 y[1] (numeric) = 4.365703818720053 absolute error = 6.918909889463976e-13 relative error = 1.584832635643932e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110017015731986 y[1] (closed_form) = 4.388030459147403 y[1] (numeric) = 4.388030459146706 absolute error = 6.972200594645983e-13 relative error = 1.588913445236359e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120021571074065 y[1] (closed_form) = 4.410423819701564 y[1] (numeric) = 4.410423819700863 absolute error = 7.016609515630989e-13 relative error = 1.590915023696243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130026126416143 y[1] (closed_form) = 4.432883072445197 y[1] (numeric) = 4.43288307244449 absolute error = 7.069900220812997e-13 relative error = 1.594876315317113e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140030681758222 y[1] (closed_form) = 4.455407383846913 y[1] (numeric) = 4.455407383846204 absolute error = 7.096545573404001e-13 relative error = 1.59279387091123e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.1500352371003 y[1] (closed_form) = 4.477995914865404 y[1] (numeric) = 4.477995914864692 absolute error = 7.123190925995004e-13 relative error = 1.590709563255398e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160039792442379 y[1] (closed_form) = 4.500647821033413 y[1] (numeric) = 4.500647821032696 absolute error = 7.167599846980011e-13 relative error = 1.592570699151979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170044347784457 y[1] (closed_form) = 4.523362252542261 y[1] (numeric) = 4.523362252541536 absolute error = 7.256417688950023e-13 relative error = 1.60420883489305e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180048903126536 y[1] (closed_form) = 4.546138354326906 y[1] (numeric) = 4.546138354326175 absolute error = 7.318590178329032e-13 relative error = 1.609847657047959e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190053458468614 y[1] (closed_form) = 4.568975266151525 y[1] (numeric) = 4.568975266150786 absolute error = 7.389644451905042e-13 relative error = 1.617352693206716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200058013810692 y[1] (closed_form) = 4.591872122695612 y[1] (numeric) = 4.591872122694866 absolute error = 7.460698725481052e-13 relative error = 1.624761867519369e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210062569152771 y[1] (closed_form) = 4.614828053640595 y[1] (numeric) = 4.614828053639846 absolute error = 7.496225862269057e-13 relative error = 1.624378151284608e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220067124494849 y[1] (closed_form) = 4.637842183756943 y[1] (numeric) = 4.637842183756186 absolute error = 7.567280135845067e-13 relative error = 1.631638127392057e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230071679836928 y[1] (closed_form) = 4.660913632991766 y[1] (numeric) = 4.660913632991009 absolute error = 7.576161920042068e-13 relative error = 1.625467132970462e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240076235179006 y[1] (closed_form) = 4.684041516556903 y[1] (numeric) = 4.684041516556138 absolute error = 7.647216193618078e-13 relative error = 1.632610677464557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250080790521085 y[1] (closed_form) = 4.707224945017477 y[1] (numeric) = 4.707224945016707 absolute error = 7.700506898800086e-13 relative error = 1.63589099495892e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260085345863163 y[1] (closed_form) = 4.730463024380925 y[1] (numeric) = 4.730463024380149 absolute error = 7.762679388179095e-13 relative error = 1.640997794120797e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270089901205242 y[1] (closed_form) = 4.753754856186472 y[1] (numeric) = 4.75375485618569 absolute error = 7.815970093361102e-13 relative error = 1.644167680037078e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.28009445654732 y[1] (closed_form) = 4.77709953759506 y[1] (numeric) = 4.777099537594273 absolute error = 7.86926079854311e-13 relative error = 1.647288430273057e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290099011889398 y[1] (closed_form) = 4.800496161479715 y[1] (numeric) = 4.800496161478922 absolute error = 7.931433287922118e-13 relative error = 1.652211150915141e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300103567231477 y[1] (closed_form) = 4.823943816516339 y[1] (numeric) = 4.823943816515541 absolute error = 7.975842208907125e-13 relative error = 1.653386215154338e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310108122573555 y[1] (closed_form) = 4.847441587274927 y[1] (numeric) = 4.847441587274125 absolute error = 8.020251129892131e-13 relative error = 1.654532805706454e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320112677915634 y[1] (closed_form) = 4.870988554311192 y[1] (numeric) = 4.870988554310385 absolute error = 8.073541835074138e-13 relative error = 1.657475016632598e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330117233257712 y[1] (closed_form) = 4.894583794258592 y[1] (numeric) = 4.89458379425778 absolute error = 8.117950756059145e-13 relative error = 1.65855792796552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340121788599791 y[1] (closed_form) = 4.91822637992075 y[1] (numeric) = 4.918226379919929 absolute error = 8.206768598029157e-13 relative error = 1.668643930571044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350126343941869 y[1] (closed_form) = 4.941915380364256 y[1] (numeric) = 4.941915380363429 absolute error = 8.277822871605167e-13 relative error = 1.6750231913107e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360130899283948 y[1] (closed_form) = 4.96564986101185 y[1] (numeric) = 4.965649861011018 absolute error = 8.322231792590173e-13 relative error = 1.675960252037254e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370135454626026 y[1] (closed_form) = 4.989428883735957 y[1] (numeric) = 4.98942888373512 absolute error = 8.36664071357518e-13 relative error = 1.676873427507489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380140009968104 y[1] (closed_form) = 5.013251506952587 y[1] (numeric) = 5.013251506951745 absolute error = 8.419931418757187e-13 relative error = 1.679535009779596e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390144565310183 y[1] (closed_form) = 5.03711678571558 y[1] (numeric) = 5.037116785714733 absolute error = 8.464340339742193e-13 relative error = 1.680393903858979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399987756856421 y[1] (closed_form) = 5.060637849324536 y[1] (numeric) = 5.060637849323684 absolute error = 8.517631044924201e-13 relative error = 1.683114124845168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.4099923121985 y[1] (closed_form) = 5.084584941577345 y[1] (numeric) = 5.084584941576488 absolute error = 8.570921750106208e-13 relative error = 1.685667925423098e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419996867540578 y[1] (closed_form) = 5.108571850730935 y[1] (numeric) = 5.108571850730069 absolute error = 8.659739592076221e-13 relative error = 1.695139041812084e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430001422882657 y[1] (closed_form) = 5.132597619386818 y[1] (numeric) = 5.132597619385945 absolute error = 8.730793865652231e-13 relative error = 1.701047795501118e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440005978224735 y[1] (closed_form) = 5.156661287258865 y[1] (numeric) = 5.156661287257989 absolute error = 8.766321002440236e-13 relative error = 1.699999382177797e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450010533566814 y[1] (closed_form) = 5.180761891269419 y[1] (numeric) = 5.180761891268538 absolute error = 8.801848139228241e-13 relative error = 1.698948595584184e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460015088908892 y[1] (closed_form) = 5.204898465645686 y[1] (numeric) = 5.204898465644798 absolute error = 8.872902412804251e-13 relative error = 1.704721517887196e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470019644250971 y[1] (closed_form) = 5.229070042016406 y[1] (numeric) = 5.229070042015513 absolute error = 8.926193117986259e-13 relative error = 1.707032616940084e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480024199593049 y[1] (closed_form) = 5.253275649508772 y[1] (numeric) = 5.253275649507875 absolute error = 8.979483823168266e-13 relative error = 1.709311374895762e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490028754935127 y[1] (closed_form) = 5.277514314845608 y[1] (numeric) = 5.277514314844706 absolute error = 9.023892744153272e-13 relative error = 1.70987555993342e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500033310277206 y[1] (closed_form) = 5.301785062442785 y[1] (numeric) = 5.301785062441875 absolute error = 9.094947017729282e-13 relative error = 1.715449968380802e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510037865619284 y[1] (closed_form) = 5.326086914506863 y[1] (numeric) = 5.326086914505948 absolute error = 9.157119507108291e-13 relative error = 1.719295921019745e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520042420961363 y[1] (closed_form) = 5.350418891132964 y[1] (numeric) = 5.350418891132048 absolute error = 9.157119507108291e-13 relative error = 1.711477118601689e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530046976303441 y[1] (closed_form) = 5.374780010402848 y[1] (numeric) = 5.374780010401926 absolute error = 9.2192919964873e-13 relative error = 1.715287319414642e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.54005153164552 y[1] (closed_form) = 5.399169288483195 y[1] (numeric) = 5.39916928848227 absolute error = 9.254819133275305e-13 relative error = 1.714119087359695e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550056086987598 y[1] (closed_form) = 5.423585739724077 y[1] (numeric) = 5.423585739723145 absolute error = 9.316991622654314e-13 relative error = 1.717865646414269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560060642329677 y[1] (closed_form) = 5.448028376757609 y[1] (numeric) = 5.448028376756668 absolute error = 9.405809464624326e-13 relative error = 1.726461173504788e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570065197671755 y[1] (closed_form) = 5.47249621059678 y[1] (numeric) = 5.472496210595832 absolute error = 9.485745522397337e-13 relative error = 1.733348943034336e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580069753013833 y[1] (closed_form) = 5.496988250734437 y[1] (numeric) = 5.496988250733485 absolute error = 9.521272659185342e-13 relative error = 1.732088959424869e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590074308355912 y[1] (closed_form) = 5.521503505242426 y[1] (numeric) = 5.521503505241466 absolute error = 9.601208716958354e-13 relative error = 1.738875780454079e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.60007886369799 y[1] (closed_form) = 5.546040980870876 y[1] (numeric) = 5.546040980869907 absolute error = 9.690026558928366e-13 relative error = 1.74719707127133e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610083419040069 y[1] (closed_form) = 5.570599683147613 y[1] (numeric) = 5.570599683146637 absolute error = 9.761080832504376e-13 relative error = 1.752249557984567e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620087974382147 y[1] (closed_form) = 5.595178616477695 y[1] (numeric) = 5.595178616476713 absolute error = 9.823253321883385e-13 relative error = 1.755663937689869e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630092529724226 y[1] (closed_form) = 5.619776784243064 y[1] (numeric) = 5.619776784242074 absolute error = 9.903189379656396e-13 relative error = 1.762203332955024e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640097085066304 y[1] (closed_form) = 5.644393188902297 y[1] (numeric) = 5.644393188901302 absolute error = 9.956480084838404e-13 relative error = 1.763959340113708e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650101640408383 y[1] (closed_form) = 5.66902683209045 y[1] (numeric) = 5.669026832089446 absolute error = 1.004529792680842e-12 relative error = 1.771961612519695e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660106195750461 y[1] (closed_form) = 5.693676714718984 y[1] (numeric) = 5.693676714717975 absolute error = 1.008970684779342e-12 relative error = 1.772089873264153e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670110751092539 y[1] (closed_form) = 5.718341837075762 y[1] (numeric) = 5.718341837074748 absolute error = 1.014299755297543e-12 relative error = 1.773765514893098e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680115306434618 y[1] (closed_form) = 5.743021198925121 y[1] (numeric) = 5.743021198924094 absolute error = 1.026734253173345e-12 relative error = 1.787794642592493e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690119861776696 y[1] (closed_form) = 5.767713799607969 y[1] (numeric) = 5.767713799606932 absolute error = 1.036504215790046e-12 relative error = 1.797079834059203e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700124417118775 y[1] (closed_form) = 5.792418638141957 y[1] (numeric) = 5.792418638140913 absolute error = 1.043609643147647e-12 relative error = 1.801682005985685e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710128972460853 y[1] (closed_form) = 5.817134713321655 y[1] (numeric) = 5.817134713320605 absolute error = 1.050715070505248e-12 relative error = 1.806241598804709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720133527802932 y[1] (closed_form) = 5.841861023818777 y[1] (numeric) = 5.84186102381772 absolute error = 1.056932319443149e-12 relative error = 1.809239068053421e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.73013808314501 y[1] (closed_form) = 5.866596568282388 y[1] (numeric) = 5.866596568281322 absolute error = 1.06581410364015e-12 relative error = 1.816750293351427e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740142638487089 y[1] (closed_form) = 5.891340345439141 y[1] (numeric) = 5.891340345438066 absolute error = 1.074695887837152e-12 relative error = 1.824195895708422e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749985830033327 y[1] (closed_form) = 5.915692092247882 y[1] (numeric) = 5.915692092246807 absolute error = 1.074695887837152e-12 relative error = 1.816686654880954e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759990385375406 y[1] (closed_form) = 5.940449239224916 y[1] (numeric) = 5.940449239223835 absolute error = 1.081801315194753e-12 relative error = 1.821076608232917e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769994940717484 y[1] (closed_form) = 5.96521163267523 y[1] (numeric) = 5.965211632674142 absolute error = 1.088018564132653e-12 relative error = 1.823939586942547e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999496059562 y[1] (closed_form) = 5.989978272629255 y[1] (numeric) = 5.989978272628161 absolute error = 1.094235813070554e-12 relative error = 1.826777599629335e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790004051401641 y[1] (closed_form) = 6.014748159694205 y[1] (numeric) = 6.014748159693107 absolute error = 1.098676705169055e-12 relative error = 1.826637917330378e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800008606743719 y[1] (closed_form) = 6.039520295154105 y[1] (numeric) = 6.039520295152996 absolute error = 1.109334846205456e-12 relative error = 1.836792976911671e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810013162085798 y[1] (closed_form) = 6.064293681069749 y[1] (numeric) = 6.064293681068633 absolute error = 1.116440273563057e-12 relative error = 1.841006277529283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820017717427876 y[1] (closed_form) = 6.08906732037859 y[1] (numeric) = 6.089067320377465 absolute error = 1.125322057760059e-12 relative error = 1.848102506592243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830022272769955 y[1] (closed_form) = 6.113840216994536 y[1] (numeric) = 6.113840216993405 absolute error = 1.130651128278259e-12 relative error = 1.84933051592583e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840026828112033 y[1] (closed_form) = 6.138611375907642 y[1] (numeric) = 6.138611375906504 absolute error = 1.13775655563586e-12 relative error = 1.853442881400248e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850031383454112 y[1] (closed_form) = 6.163379803283707 y[1] (numeric) = 6.16337980328256 absolute error = 1.146638339832862e-12 relative error = 1.860405129052665e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.86003593879619 y[1] (closed_form) = 6.188144506563746 y[1] (numeric) = 6.18814450656259 absolute error = 1.155520124029863e-12 relative error = 1.867312766862839e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870040494138268 y[1] (closed_form) = 6.212904494563335 y[1] (numeric) = 6.212904494562172 absolute error = 1.163513729807164e-12 relative error = 1.872737188903046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880045049480347 y[1] (closed_form) = 6.237658777571818 y[1] (numeric) = 6.23765877757065 absolute error = 1.167954621905665e-12 relative error = 1.872424676555205e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890049604822425 y[1] (closed_form) = 6.262406367451369 y[1] (numeric) = 6.262406367450193 absolute error = 1.175948227682966e-12 relative error = 1.87778971641782e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900054160164504 y[1] (closed_form) = 6.287146277735893 y[1] (numeric) = 6.287146277734711 absolute error = 1.182165476620867e-12 relative error = 1.880289441979684e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910058715506582 y[1] (closed_form) = 6.311877523729764 y[1] (numeric) = 6.311877523728574 absolute error = 1.189270903978468e-12 relative error = 1.884179310367406e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920063270848661 y[1] (closed_form) = 6.336599122606382 y[1] (numeric) = 6.336599122605187 absolute error = 1.194599974496668e-12 relative error = 1.88523836111839e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930067826190739 y[1] (closed_form) = 6.361310093506544 y[1] (numeric) = 6.361310093505343 absolute error = 1.201705401854269e-12 relative error = 1.889084770574128e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940072381532818 y[1] (closed_form) = 6.386009457636623 y[1] (numeric) = 6.386009457635418 absolute error = 1.20525811553307e-12 relative error = 1.88734157618852e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950076936874896 y[1] (closed_form) = 6.410696238366528 y[1] (numeric) = 6.410696238365316 absolute error = 1.212363542890671e-12 relative error = 1.891157368578715e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960081492216974 y[1] (closed_form) = 6.435369461327459 y[1] (numeric) = 6.43536946132624 absolute error = 1.219468970248272e-12 relative error = 1.894947877626167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970086047559053 y[1] (closed_form) = 6.460028154509437 y[1] (numeric) = 6.460028154508214 absolute error = 1.223021683927072e-12 relative error = 1.893214169776241e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980090602901131 y[1] (closed_form) = 6.484671348358582 y[1] (numeric) = 6.484671348357351 absolute error = 1.230127111284673e-12 relative error = 1.89697680144738e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.99009515824321 y[1] (closed_form) = 6.509298075874163 y[1] (numeric) = 6.509298075872926 absolute error = 1.237232538642274e-12 relative error = 1.900715751868716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ; Iterations = 22740 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %