##############ECHO OF PROBLEM################# ##############temp/sub_sin_cospostode.ode################# diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( 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)) - sin(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) = 0.8951707486311977 y[1] (numeric) = 0.8951707486311977 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 = 0.49 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = 0.8841777971195219 y[1] (numeric) = 0.884177797119522 absolute error = 1.110223024625157e-16 relative error = 1.25565585139329e-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 = 0.4879 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 0.8730964285649468 y[1] (numeric) = 0.8730964285649468 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 = 0.4857 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 0.8619277510950932 y[1] (numeric) = 0.861927751095093 absolute error = 2.220446049250313e-16 relative error = 2.57613941125483e-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 = 0.4832 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 0.8506728815684006 y[1] (numeric) = 0.8506728815684006 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 = 0.4805 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 0.839332945462443 y[1] (numeric) = 0.839332945462443 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 = 0.4777 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 0.8279090767613809 y[1] (numeric) = 0.8279090767613809 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 = 0.4746 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 0.8164024178425646 y[1] (numeric) = 0.8164024178425646 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 = 0.4714 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 0.8048141193622972 y[1] (numeric) = 0.8048141193622972 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 = 0.4679 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 0.7931453401407697 y[1] (numeric) = 0.7931453401407698 absolute error = 1.110223024625157e-16 relative error = 1.399772486122293e-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 = 0.4643 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 0.7813972470461803 y[1] (numeric) = 0.7813972470461803 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 = 0.4605 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 0.7695710148780486 y[1] (numeric) = 0.7695710148780485 absolute error = 1.110223024625157e-16 relative error = 1.44265181921007e-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 = 0.4565 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 0.7576678262497361 y[1] (numeric) = 0.7576678262497361 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 = 0.4524 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 0.7456888714701863 y[1] (numeric) = 0.7456888714701864 absolute error = 1.110223024625157e-16 relative error = 1.488855563093307e-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 = 0.448 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 0.7336353484248949 y[1] (numeric) = 0.7336353484248949 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 = 0.4435 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 0.7215084624561217 y[1] (numeric) = 0.7215084624561218 absolute error = 1.110223024625157e-16 relative error = 1.538752602908901e-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 = 0.4388 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 0.709309426242358 y[1] (numeric) = 0.709309426242358 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 = 0.4339 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 0.6970394596770593 y[1] (numeric) = 0.6970394596770593 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 = 0.4289 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 0.684699789746657 y[1] (numeric) = 0.6846997897466571 absolute error = 1.110223024625157e-16 relative error = 1.621474171966586e-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 = 0.4236 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 0.6722916504078613 y[1] (numeric) = 0.6722916504078618 absolute error = 4.440892098500626e-16 relative error = 6.605603529073217e-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 = 0.4182 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0.6598162824642663 y[1] (numeric) = 0.6598162824642665 absolute error = 2.220446049250313e-16 relative error = 3.365248946202788e-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 = 0.4127 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0.6472749334422697 y[1] (numeric) = 0.6472749334422698 absolute error = 1.110223024625157e-16 relative error = 1.715226354774601e-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 = 0.4069 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0.6346688574663228 y[1] (numeric) = 0.6346688574663231 absolute error = 2.220446049250313e-16 relative error = 3.498589891608374e-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 = 0.401 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0.6219993151335184 y[1] (numeric) = 0.6219993151335187 absolute error = 3.33066907387547e-16 relative error = 5.354779326662937e-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 = 0.395 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0.6092675733875317 y[1] (numeric) = 0.6092675733875317 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 = 0.3888 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 0.5964749053919274 y[1] (numeric) = 0.5964749053919275 absolute error = 1.110223024625157e-16 relative error = 1.861307180887449e-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 = 0.3824 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 0.5836225904028447 y[1] (numeric) = 0.5836225904028448 absolute error = 1.110223024625157e-16 relative error = 1.902296180582775e-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 = 0.3759 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 0.5707119136410721 y[1] (numeric) = 0.5707119136410723 absolute error = 2.220446049250313e-16 relative error = 3.890660061893819e-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 = 0.3692 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 0.5577441661635272 y[1] (numeric) = 0.5577441661635275 absolute error = 3.33066907387547e-16 relative error = 5.971678909320833e-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 = 0.3624 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 0.5447206447341513 y[1] (numeric) = 0.5447206447341515 absolute error = 2.220446049250313e-16 relative error = 4.076302359228541e-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 = 0.3555 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 0.5316426516942343 y[1] (numeric) = 0.5316426516942344 absolute error = 1.110223024625157e-16 relative error = 2.088288103084106e-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 = 0.3484 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 0.5185114948321818 y[1] (numeric) = 0.5185114948321818 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 = 0.3411 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0.5053284872527377 y[1] (numeric) = 0.5053284872527376 absolute error = 1.110223024625157e-16 relative error = 2.197032331703642e-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 = 0.3337 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 0.492094947245674 y[1] (numeric) = 0.4920949472456739 absolute error = 1.110223024625157e-16 relative error = 2.256115472916831e-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 = 0.3262 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0.4788121981539634 y[1] (numeric) = 0.4788121981539634 absolute error = 5.551115123125783e-17 relative error = 1.159351233015331e-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 = 0.3186 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0.4654815682414463 y[1] (numeric) = 0.4654815682414463 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 = 0.3108 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 0.4521043905600051 y[1] (numeric) = 0.4521043905600051 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 = 0.3029 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 0.4386820028162603 y[1] (numeric) = 0.4386820028162602 absolute error = 1.110223024625157e-16 relative error = 2.530815072188334e-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 = 0.2949 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 0.4252157472378009 y[1] (numeric) = 0.4252157472378009 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 = 0.2868 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 0.411706970438963 y[1] (numeric) = 0.4117069704389631 absolute error = 5.551115123125783e-17 relative error = 1.348317012268986e-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 = 0.2785 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0.3981570232861693 y[1] (numeric) = 0.3981570232861693 absolute error = 5.551115123125783e-17 relative error = 1.394202487578878e-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 = 0.2702 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 0.3845672607628433 y[1] (numeric) = 0.3845672607628434 absolute error = 1.110223024625157e-16 relative error = 2.886941083915654e-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 = 0.2617 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0.3709390418339127 y[1] (numeric) = 0.3709390418339128 absolute error = 5.551115123125783e-17 relative error = 1.496503332644959e-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 = 0.2531 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0.3572737293099135 y[1] (numeric) = 0.3572737293099136 absolute error = 1.110223024625157e-16 relative error = 3.107485755444685e-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 = 0.2444 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 0.3435726897107105 y[1] (numeric) = 0.3435726897107106 absolute error = 5.551115123125783e-17 relative error = 1.615703252723563e-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 = 0.2357 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0.3298372931288461 y[1] (numeric) = 0.3298372931288461 absolute error = 5.551115123125783e-17 relative error = 1.682985896005798e-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 = 0.2268 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0.3160689130925322 y[1] (numeric) = 0.3160689130925322 absolute error = 5.551115123125783e-17 relative error = 1.756298988347722e-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 = 0.2178 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0.3022689264282989 y[1] (numeric) = 0.3022689264282989 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 = 0.2088 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0.2884387131233128 y[1] (numeric) = 0.2884387131233129 absolute error = 5.551115123125783e-17 relative error = 1.924538860618401e-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 = 0.1997 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0.2745796561873791 y[1] (numeric) = 0.2745796561873792 absolute error = 1.110223024625157e-16 relative error = 4.043354995926997e-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 = 0.1905 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0.2606931415146424 y[1] (numeric) = 0.2606931415146424 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 = 0.1812 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0.2467805577449976 y[1] (numeric) = 0.2467805577449977 absolute error = 1.110223024625157e-16 relative error = 4.498826952860557e-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 = 0.1718 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 0.2328432961252282 y[1] (numeric) = 0.2328432961252283 absolute error = 8.326672684688674e-17 relative error = 3.576084355123717e-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 = 0.1624 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0.2188827503698818 y[1] (numeric) = 0.2188827503698818 absolute error = 2.775557561562891e-17 relative error = 1.268056782397233e-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 = 0.1529 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 0.2049003165218999 y[1] (numeric) = 0.2049003165219001 absolute error = 1.942890293094024e-16 relative error = 9.482124410902832e-14 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1434 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 0.1908973928130157 y[1] (numeric) = 0.1908973928130158 absolute error = 1.665334536937735e-16 relative error = 8.72371545990119e-14 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1337 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 0.1768753795239306 y[1] (numeric) = 0.1768753795239308 absolute error = 2.220446049250313e-16 relative error = 1.255373164556175e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1241 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 0.162835678844289 y[1] (numeric) = 0.1628356788442892 absolute error = 1.942890293094024e-16 relative error = 1.193160065953301e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1144 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 0.1487796947324587 y[1] (numeric) = 0.148779694732459 absolute error = 3.05311331771918e-16 relative error = 2.052103496521757e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.1046 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0.134708832775138 y[1] (numeric) = 0.1347088327751382 absolute error = 1.665334536937735e-16 relative error = 1.236247469917274e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.09482 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0.1206245000467966 y[1] (numeric) = 0.1206245000467969 absolute error = 3.05311331771918e-16 relative error = 2.531088888687387e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.08498 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0.1065281049689708 y[1] (numeric) = 0.106528104968971 absolute error = 1.942890293094024e-16 relative error = 1.823828832456884e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.07511 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0.09242105716942106 y[1] (numeric) = 0.09242105716942135 absolute error = 2.914335439641036e-16 relative error = 3.153324068019089e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.06521 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 0.07830476734117175 y[1] (numeric) = 0.07830476734117205 absolute error = 2.914335439641036e-16 relative error = 3.721785452657506e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.05528 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0.064180647101442 y[1] (numeric) = 0.06418064710144239 absolute error = 3.885780586188048e-16 relative error = 6.054442829232152e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.04534 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 0.05005010885048589 y[1] (numeric) = 0.05005010885048627 absolute error = 3.816391647148976e-16 relative error = 7.625141552737954e-13 % Desired digits = 8 Estimated correct digits = 11 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 = 0.03537 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0.035914565630353 y[1] (numeric) = 0.03591456563035338 absolute error = 3.747002708109903e-16 relative error = 1.043310044920366e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02539 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0.02177543098358581 y[1] (numeric) = 0.02177543098358615 absolute error = 3.434752482434078e-16 relative error = 1.577352239330268e-12 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0154 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 TOP MAIN SOLVE Loop x[1] = 0.7804034706280868 y[1] (closed_form) = 0.007063532885291934 y[1] (numeric) = 0.007063532885292169 absolute error = 2.350550309948574e-16 relative error = 3.327726150809059e-12 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 14 h = 0.000554953202513564 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.004995 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 TOP MAIN SOLVE Loop x[1] = 0.7900422961372556 y[1] (closed_form) = -0.006567771897120322 y[1] (numeric) = -0.006567771897117707 absolute error = 2.615963001773025e-15 relative error = 3.983029622146301e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.800104594449539 y[1] (closed_form) = -0.02079728455934082 y[1] (numeric) = -0.02079728455933505 absolute error = 5.76969028109886e-15 relative error = 2.774251736872774e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8101668927618223 y[1] (closed_form) = -0.03502469151744203 y[1] (numeric) = -0.03502469151743293 absolute error = 9.096889908022376e-15 relative error = 2.597279094804359e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.820035685337331 y[1] (closed_form) = -0.04897505888760856 y[1] (numeric) = -0.04897505888759641 absolute error = 1.214306433183765e-14 relative error = 2.479438434102635e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300979836496143 y[1] (closed_form) = -0.06319404273469642 y[1] (numeric) = -0.06319404273468099 absolute error = 1.543210004228968e-14 relative error = 2.442018167294232e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8401602819618976 y[1] (closed_form) = -0.07740662824859146 y[1] (numeric) = -0.0774066282485729 absolute error = 1.855460229904793e-14 relative error = 2.397030166390894e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500290745374063 y[1] (closed_form) = -0.09133829105162106 y[1] (numeric) = -0.09133829105159941 absolute error = 2.164934898019055e-14 relative error = 2.370238016381885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600913728496896 y[1] (closed_form) = -0.1055339555963307 y[1] (numeric) = -0.1055339555963058 absolute error = 2.492450690283476e-14 relative error = 2.361752363208241e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.870153671161973 y[1] (closed_form) = -0.1197189349343052 y[1] (numeric) = -0.1197189349342772 absolute error = 2.800537579616957e-14 relative error = 2.339260352720086e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800224637374816 y[1] (closed_form) = -0.1336193611385628 y[1] (numeric) = -0.1336193611385318 absolute error = 3.10029779626575e-14 relative error = 2.320245935804732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900847620497649 y[1] (closed_form) = -0.1477789368701997 y[1] (numeric) = -0.1477789368701655 absolute error = 3.419486915845482e-14 relative error = 2.313920365287888e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9001470603620483 y[1] (closed_form) = -0.161923550133287 y[1] (numeric) = -0.1619235501332497 absolute error = 3.727573805178963e-14 relative error = 2.302057855148692e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100158529375569 y[1] (closed_form) = -0.1757802358055813 y[1] (numeric) = -0.1757802358055409 absolute error = 4.043987367197133e-14 relative error = 2.300592753595981e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200781512498403 y[1] (closed_form) = -0.1898909856766362 y[1] (numeric) = -0.1898909856765927 absolute error = 4.349298698969051e-14 relative error = 2.290418728130379e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9301404495621236 y[1] (closed_form) = -0.2039825092766052 y[1] (numeric) = -0.2039825092765584 absolute error = 4.682365606356598e-14 relative error = 2.295474069302283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400092421376323 y[1] (closed_form) = -0.2177829898299264 y[1] (numeric) = -0.2177829898298764 absolute error = 4.996003610813204e-14 relative error = 2.294028387944688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1522 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500715404499156 y[1] (closed_form) = -0.2318322207135072 y[1] (numeric) = -0.2318322207134541 absolute error = 5.312417172831374e-14 relative error = 2.291492164670387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9601338387621989 y[1] (closed_form) = -0.2458579788181879 y[1] (numeric) = -0.2458579788181316 absolute error = 5.637157407534232e-14 relative error = 2.292851114546464e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700026313377076 y[1] (closed_form) = -0.2595898402240515 y[1] (numeric) = -0.2595898402239922 absolute error = 5.934142066621462e-14 relative error = 2.285968534631292e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800649296499909 y[1] (closed_form) = -0.2735649143318072 y[1] (numeric) = -0.273564914331745 absolute error = 6.217248937900877e-14 relative error = 2.27267774929645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9901272279622743 y[1] (closed_form) = -0.2875122902674574 y[1] (numeric) = -0.2875122902673922 absolute error = 6.522560269672795e-14 relative error = 2.268619634870288e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9999960205377829 y[1] (closed_form) = -0.3011631802227693 y[1] (numeric) = -0.3011631802227009 absolute error = 6.838973831690964e-14 relative error = 2.270853238643648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01005831885006 y[1] (closed_form) = -0.3150515264730274 y[1] (numeric) = -0.3150515264729639 absolute error = 6.350475700855895e-14 relative error = 2.015694312593525e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020120617162338 y[1] (closed_form) = -0.3289079740734765 y[1] (numeric) = -0.3289079740734176 absolute error = 5.889733145636455e-14 relative error = 1.790693327587344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029989409737841 y[1] (closed_form) = -0.3424656131118664 y[1] (numeric) = -0.3424656131118122 absolute error = 5.42343947529389e-14 relative error = 1.583644975626304e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040051708050119 y[1] (closed_form) = -0.3562547384377968 y[1] (numeric) = -0.3562547384377473 absolute error = 4.946043574705072e-14 relative error = 1.388344642486395e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050114006362396 y[1] (closed_form) = -0.3700077933301967 y[1] (numeric) = -0.3700077933301523 absolute error = 4.446443213623752e-14 relative error = 1.201716097275747e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2525 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059982798937899 y[1] (closed_form) = -0.3834599858678627 y[1] (numeric) = -0.3834599858678227 absolute error = 4.002354003773689e-14 relative error = 1.04374749681258e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070045097250177 y[1] (closed_form) = -0.3971374864554162 y[1] (numeric) = -0.3971374864553811 absolute error = 3.519406988061746e-14 relative error = 8.861935999730524e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080107395562454 y[1] (closed_form) = -0.4107747772723701 y[1] (numeric) = -0.4107747772723397 absolute error = 3.036459972349803e-14 relative error = 7.392031206279334e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2779 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090169693874732 y[1] (closed_form) = -0.4243704775567615 y[1] (numeric) = -0.4243704775567356 absolute error = 2.592370762499741e-14 relative error = 6.108744362767315e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100038486450235 y[1] (closed_form) = -0.4376629950240147 y[1] (numeric) = -0.4376629950239935 absolute error = 2.114974861910923e-14 relative error = 4.832427886197858e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110100784762512 y[1] (closed_form) = -0.4511722545320738 y[1] (numeric) = -0.4511722545320574 absolute error = 1.643130076445232e-14 relative error = 3.641912949964926e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3024 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.12016308307479 y[1] (closed_form) = -0.4646358333036767 y[1] (numeric) = -0.4646358333036652 absolute error = 1.154631945610163e-14 relative error = 2.485025611133867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130031875650293 y[1] (closed_form) = -0.4777948099914505 y[1] (numeric) = -0.4777948099914434 absolute error = 7.16093850883226e-15 relative error = 1.498747654659622e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140094173962571 y[1] (closed_form) = -0.4911638861259321 y[1] (numeric) = -0.4911638861259298 absolute error = 2.386979502944087e-15 relative error = 4.859843262849492e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150156472274848 y[1] (closed_form) = -0.5044832324115289 y[1] (numeric) = -0.5044832324115311 absolute error = 2.220446049250313e-15 relative error = 4.401426859394602e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160025264850351 y[1] (closed_form) = -0.5174968313471326 y[1] (numeric) = -0.5174968313471394 absolute error = 6.772360450213455e-15 relative error = 1.308676699059943e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170087563162629 y[1] (closed_form) = -0.5307136981433391 y[1] (numeric) = -0.5307136981433503 absolute error = 1.121325254871408e-14 relative error = 2.112862846378901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180149861474906 y[1] (closed_form) = -0.5438768307120193 y[1] (numeric) = -0.543876830712035 absolute error = 1.565414464721471e-14 relative error = 2.878251795856242e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190018654050409 y[1] (closed_form) = -0.5567333456952779 y[1] (numeric) = -0.556733345695298 absolute error = 2.009503674571533e-14 relative error = 3.609454490393349e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200080952362687 y[1] (closed_form) = -0.5697861141062844 y[1] (numeric) = -0.5697861141063093 absolute error = 2.486899575160351e-14 relative error = 4.364619483683064e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210143250674964 y[1] (closed_form) = -0.582781192246993 y[1] (numeric) = -0.5827811922470223 absolute error = 2.930988785010413e-14 relative error = 5.029312585928834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220012043250467 y[1] (closed_form) = -0.5954690583803948 y[1] (numeric) = -0.5954690583804286 absolute error = 3.386180225106727e-14 relative error = 5.686576283773226e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230074341562745 y[1] (closed_form) = -0.6083459869716745 y[1] (numeric) = -0.6083459869717129 absolute error = 3.841371665203042e-14 relative error = 6.314452215465837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240136639875022 y[1] (closed_form) = -0.6211613211443573 y[1] (numeric) = -0.6211613211444003 absolute error = 4.296563105299356e-14 relative error = 6.916984298674384e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250005432450525 y[1] (closed_form) = -0.6336691252360946 y[1] (numeric) = -0.6336691252361425 absolute error = 4.785061236134425e-14 relative error = 7.551356134562482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260067730762803 y[1] (closed_form) = -0.6463586307473616 y[1] (numeric) = -0.6463586307474142 absolute error = 5.262457136723242e-14 relative error = 8.141698565451891e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270130029075081 y[1] (closed_form) = -0.6589826930981266 y[1] (numeric) = -0.6589826930981835 absolute error = 5.684341886080801e-14 relative error = 8.625935014099631e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.279998821650584 y[1] (closed_form) = -0.6712991839286735 y[1] (numeric) = -0.6712991839287344 absolute error = 6.095124405192109e-14 relative error = 9.079594540129405e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290061119962861 y[1] (closed_form) = -0.683789851693441 y[1] (numeric) = -0.6837898516935058 absolute error = 6.483702463810914e-14 relative error = 9.482010368761235e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300123418275139 y[1] (closed_form) = -0.6962112864242775 y[1] (numeric) = -0.6962112864243466 absolute error = 6.905587213168474e-14 relative error = 9.918809631247698e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309992210850642 y[1] (closed_form) = -0.7083253848672655 y[1] (numeric) = -0.7083253848673385 absolute error = 7.30526750203353e-14 relative error = 1.031343455720209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320054509162919 y[1] (closed_form) = -0.7206059790807494 y[1] (numeric) = -0.720605979080827 absolute error = 7.760458942129844e-14 relative error = 1.076935130628471e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330116807475197 y[1] (closed_form) = -0.7328136126644774 y[1] (numeric) = -0.7328136126645591 absolute error = 8.171241461241152e-14 relative error = 1.115050446665542e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.3399856000507 y[1] (closed_form) = -0.7447144216527675 y[1] (numeric) = -0.7447144216528533 absolute error = 8.58202398035246e-14 relative error = 1.15239126983819e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350047898362977 y[1] (closed_form) = -0.7567738954788974 y[1] (numeric) = -0.7567738954789875 absolute error = 9.015010959956271e-14 relative error = 1.191242326646513e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360110196675255 y[1] (closed_form) = -0.7687567467101555 y[1] (numeric) = -0.7687567467102501 absolute error = 9.459100169806334e-14 relative error = 1.230441256000151e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370172494987532 y[1] (closed_form) = -0.7806617620949212 y[1] (numeric) = -0.7806617620950198 absolute error = 9.85878045867139e-14 relative error = 1.262874773348083e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380041287563035 y[1] (closed_form) = -0.792261066546587 y[1] (numeric) = -0.7922610665466896 absolute error = 1.025846074753645e-13 relative error = 1.294833380144804e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390103585875313 y[1] (closed_form) = -0.804008356419823 y[1] (numeric) = -0.8040083564199294 absolute error = 1.0635936575909e-13 relative error = 1.322863934309075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400165884187591 y[1] (closed_form) = -0.8156742412565808 y[1] (numeric) = -0.8156742412566909 absolute error = 1.10023101740353e-13 relative error = 1.348860809566056e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410034676763094 y[1] (closed_form) = -0.8270355702974236 y[1] (numeric) = -0.827035570297538 absolute error = 1.144639938388536e-13 relative error = 1.384027458428292e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420096975075371 y[1] (closed_form) = -0.8385367317029969 y[1] (numeric) = -0.8385367317031154 absolute error = 1.184607967275042e-13 relative error = 1.412708498611866e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430159273387649 y[1] (closed_form) = -0.8499529921088633 y[1] (numeric) = -0.8499529921089861 absolute error = 1.227906665235423e-13 relative error = 1.444675972242652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440028065963152 y[1] (closed_form) = -0.8610661258148894 y[1] (numeric) = -0.861066125815016 absolute error = 1.265654248072678e-13 relative error = 1.469868817420843e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450090364275429 y[1] (closed_form) = -0.8723108130445659 y[1] (numeric) = -0.8723108130446966 absolute error = 1.306732499983809e-13 relative error = 1.498012497888237e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460152662587707 y[1] (closed_form) = -0.8834671796828092 y[1] (numeric) = -0.8834671796829436 absolute error = 1.344480082821065e-13 relative error = 1.52182233108396e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.47002145516321 y[1] (closed_form) = -0.8943221213906527 y[1] (numeric) = -0.8943221213907907 absolute error = 1.38000721960907e-13 relative error = 1.543076243561085e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480083753475487 y[1] (closed_form) = -0.9053002194439418 y[1] (numeric) = -0.9053002194440838 absolute error = 1.419975248495575e-13 relative error = 1.568513094327714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490146051787765 y[1] (closed_form) = -0.9161866567616189 y[1] (numeric) = -0.9161866567617647 absolute error = 1.457722831332831e-13 relative error = 1.591076251301609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500014844363268 y[1] (closed_form) = -0.9267736420609002 y[1] (numeric) = -0.9267736420610494 absolute error = 1.49213974509621e-13 relative error = 1.610036882121599e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510077142675545 y[1] (closed_form) = -0.9374752757438614 y[1] (numeric) = -0.9374752757440141 absolute error = 1.527666881884215e-13 relative error = 1.629554316162688e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520139440987823 y[1] (closed_form) = -0.9480819909991592 y[1] (numeric) = -0.9480819909993159 absolute error = 1.566524687746096e-13 relative error = 1.652309296683482e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530008233563326 y[1] (closed_form) = -0.9583914965159233 y[1] (numeric) = -0.9583914965160832 absolute error = 1.599831378484851e-13 relative error = 1.669287952053809e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540070531875604 y[1] (closed_form) = -0.9688070393242577 y[1] (numeric) = -0.9688070393244217 absolute error = 1.639799407371356e-13 relative error = 1.692596503546377e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550132830187881 y[1] (closed_form) = -0.9791244913954165 y[1] (numeric) = -0.9791244913955841 absolute error = 1.676436767183986e-13 relative error = 1.712179382618428e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560001622763384 y[1] (closed_form) = -0.9891472433587498 y[1] (numeric) = -0.9891472433589209 absolute error = 1.710853680947366e-13 relative error = 1.729624878838047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4999 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570063921075662 y[1] (closed_form) = -0.9992673261371876 y[1] (numeric) = -0.9992673261373622 absolute error = 1.746380817735371e-13 relative error = 1.747661283478825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580126219387939 y[1] (closed_form) = -1.009286234105082 y[1] (numeric) = -1.009286234105261 absolute error = 1.787459069646502e-13 relative error = 1.771013028064742e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589995011963442 y[1] (closed_form) = -1.019013216689204 y[1] (numeric) = -1.019013216689386 absolute error = 1.818545314336006e-13 relative error = 1.784614060497173e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.60005731027572 y[1] (closed_form) = -1.028828736059396 y[1] (numeric) = -1.028828736059582 absolute error = 1.856292897173262e-13 relative error = 1.804277847334636e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610119608587997 y[1] (closed_form) = -1.038540087556058 y[1] (numeric) = -1.038540087556247 absolute error = 1.889599587912016e-13 relative error = 1.819476793003448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4985 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.6199884011635 y[1] (closed_form) = -1.047962550990378 y[1] (numeric) = -1.047962550990571 absolute error = 1.925126724700021e-13 relative error = 1.837018625217741e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630050699475778 y[1] (closed_form) = -1.057464677539712 y[1] (numeric) = -1.057464677539907 absolute error = 1.951772077291025e-13 relative error = 1.845709004514458e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640112997788056 y[1] (closed_form) = -1.066859736855277 y[1] (numeric) = -1.066859736855476 absolute error = 1.989519660128281e-13 relative error = 1.864837139690619e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649981790363559 y[1] (closed_form) = -1.075969205295131 y[1] (numeric) = -1.075969205295334 absolute error = 2.029487689014786e-13 relative error = 1.886194957092765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660044088675836 y[1] (closed_form) = -1.085149391519106 y[1] (numeric) = -1.085149391519312 absolute error = 2.062794379753541e-13 relative error = 1.900931241242116e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670106386988114 y[1] (closed_form) = -1.094219707459899 y[1] (numeric) = -1.094219707460108 absolute error = 2.087219286295294e-13 relative error = 1.907495608117428e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680168685300391 y[1] (closed_form) = -1.103179234757153 y[1] (numeric) = -1.103179234757366 absolute error = 2.1271873151818e-13 relative error = 1.928233643420659e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690037477875894 y[1] (closed_form) = -1.111857974601889 y[1] (numeric) = -1.111857974602105 absolute error = 2.160494005920555e-13 relative error = 1.94313847206442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700099776188172 y[1] (closed_form) = -1.120595388092577 y[1] (numeric) = -1.120595388092797 absolute error = 2.20046203480706e-13 relative error = 1.963654373549207e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710162074500449 y[1] (closed_form) = -1.129219342428624 y[1] (numeric) = -1.129219342428847 absolute error = 2.231548279496565e-13 relative error = 1.976186729760713e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720030867075952 y[1] (closed_form) = -1.13756640145721 y[1] (numeric) = -1.137566401457436 absolute error = 2.258193632087568e-13 relative error = 1.985109290494908e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.73009316538823 y[1] (closed_form) = -1.145963052880188 y[1] (numeric) = -1.145963052880416 absolute error = 2.282618538629322e-13 relative error = 1.991877951817329e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740155463700507 y[1] (closed_form) = -1.154243676698007 y[1] (numeric) = -1.154243676698238 absolute error = 2.309263891220326e-13 relative error = 2.000672767665952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.75002425627601 y[1] (closed_form) = -1.162251546430712 y[1] (numeric) = -1.162251546430946 absolute error = 2.33812968986058e-13 relative error = 2.011724309630737e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760086554588288 y[1] (closed_form) = -1.170299882696102 y[1] (numeric) = -1.170299882696339 absolute error = 2.366995488500834e-13 relative error = 2.022554666114996e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770148852900566 y[1] (closed_form) = -1.178229727276823 y[1] (numeric) = -1.178229727277061 absolute error = 2.384759056894836e-13 relative error = 2.024018747520993e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780017645476069 y[1] (closed_form) = -1.185891204346881 y[1] (numeric) = -1.185891204347122 absolute error = 2.41362485553509e-13 relative error = 2.03528354598462e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790079943788346 y[1] (closed_form) = -1.193583985686818 y[1] (numeric) = -1.193583985687062 absolute error = 2.438049762076844e-13 relative error = 2.042629418049647e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800142242100624 y[1] (closed_form) = -1.201155917850104 y[1] (numeric) = -1.20115591785035 absolute error = 2.462474668618597e-13 relative error = 2.050087446620645e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810011034676127 y[1] (closed_form) = -1.208464110483405 y[1] (numeric) = -1.208464110483654 absolute error = 2.4846791291111e-13 relative error = 2.056063649351729e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820073332988404 y[1] (closed_form) = -1.215794416964464 y[1] (numeric) = -1.215794416964715 absolute error = 2.509104035652854e-13 relative error = 2.063756833098035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830135631300682 y[1] (closed_form) = -1.223001625485068 y[1] (numeric) = -1.223001625485322 absolute error = 2.537969834293108e-13 relative error = 2.075197433434724e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840004423876185 y[1] (closed_form) = -1.229949959699557 y[1] (numeric) = -1.229949959699813 absolute error = 2.560174294785611e-13 relative error = 2.081527199213041e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850066722188462 y[1] (closed_form) = -1.236911197447479 y[1] (numeric) = -1.236911197447738 absolute error = 2.586819647376615e-13 relative error = 2.091354377512986e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.86012902050074 y[1] (closed_form) = -1.243747199182187 y[1] (numeric) = -1.243747199182448 absolute error = 2.606803661819868e-13 relative error = 2.095927262014293e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869997813076243 y[1] (closed_form) = -1.250329424701395 y[1] (numeric) = -1.250329424701658 absolute error = 2.629008122312371e-13 relative error = 2.102652365347823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.88006011138852 y[1] (closed_form) = -1.25691533183252 y[1] (numeric) = -1.256915331832784 absolute error = 2.646771690706373e-13 relative error = 2.105767686712447e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890122409700798 y[1] (closed_form) = -1.263373977551968 y[1] (numeric) = -1.263373977552235 absolute error = 2.671196597248127e-13 relative error = 2.114335616144389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899991202276301 y[1] (closed_form) = -1.269584173427361 y[1] (numeric) = -1.26958417342763 absolute error = 2.688960165642129e-13 relative error = 2.117984944931245e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910053500588579 y[1] (closed_form) = -1.275788825681413 y[1] (numeric) = -1.275788825681685 absolute error = 2.715605518233133e-13 relative error = 2.128569762932903e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920115798900856 y[1] (closed_form) = -1.281864305601542 y[1] (numeric) = -1.281864305601815 absolute error = 2.733369086627135e-13 relative error = 2.132338871347576e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929984591476359 y[1] (closed_form) = -1.28769688553863 y[1] (numeric) = -1.287696885538905 absolute error = 2.755573547119639e-13 relative error = 2.139924059820189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940046889788637 y[1] (closed_form) = -1.293514701607805 y[1] (numeric) = -1.293514701608082 absolute error = 2.76667577736589e-13 relative error = 2.138882359765207e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950109188100914 y[1] (closed_form) = -1.299201550615968 y[1] (numeric) = -1.299201550616246 absolute error = 2.775557561562891e-13 relative error = 2.136356410787043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960171486413192 y[1] (closed_form) = -1.304756856775384 y[1] (numeric) = -1.304756856775663 absolute error = 2.795541576006144e-13 relative error = 2.142576650576209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970040278988695 y[1] (closed_form) = -1.310077014548926 y[1] (numeric) = -1.310077014549208 absolute error = 2.815525590449397e-13 relative error = 2.149129829148871e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980102577300972 y[1] (closed_form) = -1.315370117119958 y[1] (numeric) = -1.315370117120241 absolute error = 2.833289158843399e-13 relative error = 2.153986259811779e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.99016487561325 y[1] (closed_form) = -1.320530039791165 y[1] (numeric) = -1.32053003979145 absolute error = 2.853273173286652e-13 relative error = 2.160702965710559e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000033668188753 y[1] (closed_form) = -1.325460866108751 y[1] (numeric) = -1.325460866109037 absolute error = 2.859934511434403e-13 relative error = 2.157690645239881e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010095966501031 y[1] (closed_form) = -1.330355460906564 y[1] (numeric) = -1.330355460906853 absolute error = 2.886579864025407e-13 relative error = 2.169780896045904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020158264813308 y[1] (closed_form) = -1.335115358553583 y[1] (numeric) = -1.335115358553873 absolute error = 2.893241202173158e-13 relative error = 2.16703461887188e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030027057388811 y[1] (closed_form) = -1.339652417959643 y[1] (numeric) = -1.339652417959933 absolute error = 2.90434343241941e-13 relative error = 2.167982824114086e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040089355701089 y[1] (closed_form) = -1.34414410212022 y[1] (numeric) = -1.344144102120511 absolute error = 2.915445662665661e-13 relative error = 2.168997846337241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050151654013366 y[1] (closed_form) = -1.348499693043965 y[1] (numeric) = -1.348499693044257 absolute error = 2.919886554764162e-13 relative error = 2.165285294335596e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060020446588869 y[1] (closed_form) = -1.352638904290421 y[1] (numeric) = -1.352638904290713 absolute error = 2.928768338961163e-13 relative error = 2.165225567349449e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070082744901147 y[1] (closed_form) = -1.356723637382351 y[1] (numeric) = -1.356723637382645 absolute error = 2.939870569207415e-13 relative error = 2.166889769002308e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080145043213424 y[1] (closed_form) = -1.360671003572172 y[1] (numeric) = -1.360671003572467 absolute error = 2.955413691552167e-13 relative error = 2.172026657284027e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090013835788927 y[1] (closed_form) = -1.364408643289674 y[1] (numeric) = -1.364408643289971 absolute error = 2.973177259946169e-13 relative error = 2.179095884923196e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100076134101205 y[1] (closed_form) = -1.368082750948667 y[1] (numeric) = -1.368082750948965 absolute error = 2.988720382290921e-13 relative error = 2.184604973798887e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2451 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110138432413482 y[1] (closed_form) = -1.371618341606738 y[1] (numeric) = -1.371618341607039 absolute error = 3.008704396734174e-13 relative error = 2.193543426380347e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120007224988985 y[1] (closed_form) = -1.374951047653966 y[1] (numeric) = -1.374951047654268 absolute error = 3.024247519078926e-13 relative error = 2.199531048206481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130069523301263 y[1] (closed_form) = -1.37821122488807 y[1] (numeric) = -1.378211224888374 absolute error = 3.037570195374428e-13 relative error = 2.203994671151457e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140131821613541 y[1] (closed_form) = -1.381331859623466 y[1] (numeric) = -1.381331859623772 absolute error = 3.05089287166993e-13 relative error = 2.208660323306787e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2094 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150000614189044 y[1] (closed_form) = -1.384256634111495 y[1] (numeric) = -1.384256634111801 absolute error = 3.064215547965432e-13 relative error = 2.213618105527263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160062912501321 y[1] (closed_form) = -1.387099948274062 y[1] (numeric) = -1.387099948274369 absolute error = 3.073097332162433e-13 relative error = 2.215483704679119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170125210813599 y[1] (closed_form) = -1.389802819963629 y[1] (numeric) = -1.389802819963938 absolute error = 3.086420008457935e-13 relative error = 2.220761077847508e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179994003389102 y[1] (closed_form) = -1.392317031952639 y[1] (numeric) = -1.392317031952949 absolute error = 3.104183576851938e-13 relative error = 2.229509160351584e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1726 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190056301701379 y[1] (closed_form) = -1.394740925380342 y[1] (numeric) = -1.394740925380654 absolute error = 3.113065361048939e-13 relative error = 2.232002592309402e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200118600013657 y[1] (closed_form) = -1.397023602693808 y[1] (numeric) = -1.397023602694119 absolute error = 3.113065361048939e-13 relative error = 2.22835559474169e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.20998739258916 y[1] (closed_form) = -1.399124990559712 y[1] (numeric) = -1.399124990560024 absolute error = 3.11972669919669e-13 relative error = 2.229769834894208e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220049690901437 y[1] (closed_form) = -1.401127282873257 y[1] (numeric) = -1.401127282873569 absolute error = 3.128608483393691e-13 relative error = 2.232922391588816e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230111989213715 y[1] (closed_form) = -1.402987712460298 y[1] (numeric) = -1.402987712460611 absolute error = 3.128608483393691e-13 relative error = 2.229961428462777e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239980781789218 y[1] (closed_form) = -1.404674385929151 y[1] (numeric) = -1.404674385929464 absolute error = 3.128608483393691e-13 relative error = 2.227283785291072e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1152 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250043080101495 y[1] (closed_form) = -1.406253275994604 y[1] (numeric) = -1.406253275994918 absolute error = 3.135269821541442e-13 relative error = 2.229520012548204e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260105378413773 y[1] (closed_form) = -1.407689784331912 y[1] (numeric) = -1.407689784332226 absolute error = 3.137490267590692e-13 relative error = 2.228822218156354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270167676726051 y[1] (closed_form) = -1.408983765496053 y[1] (numeric) = -1.408983765496366 absolute error = 3.133049375492192e-13 relative error = 2.223623474035669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280036469301554 y[1] (closed_form) = -1.410114293729256 y[1] (numeric) = -1.410114293729569 absolute error = 3.137490267590692e-13 relative error = 2.224990046227484e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290098767613831 y[1] (closed_form) = -1.411125588625928 y[1] (numeric) = -1.411125588626242 absolute error = 3.135269821541442e-13 relative error = 2.221821960293686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300161065926109 y[1] (closed_form) = -1.411994008477708 y[1] (numeric) = -1.411994008478021 absolute error = 3.130828929442941e-13 relative error = 2.217310350217657e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310029858501612 y[1] (closed_form) = -1.412706862952928 y[1] (numeric) = -1.412706862953241 absolute error = 3.133049375492192e-13 relative error = 2.217763258361538e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320092156813889 y[1] (closed_form) = -1.413292034712842 y[1] (numeric) = -1.413292034713156 absolute error = 3.141931159689193e-13 relative error = 2.223129461228148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03607 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330154455126167 y[1] (closed_form) = -1.413734112077379 y[1] (numeric) = -1.413734112077693 absolute error = 3.144151605738443e-13 relative error = 2.22400490932368e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.34002324770167 y[1] (closed_form) = -1.414028651556382 y[1] (numeric) = -1.414028651556696 absolute error = 3.146372051787694e-13 relative error = 2.225111951108325e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01617 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350085546013947 y[1] (closed_form) = -1.414187173796498 y[1] (numeric) = -1.414187173796813 absolute error = 3.141931159689193e-13 relative error = 2.221722285356632e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360147844326225 y[1] (closed_form) = -1.414202511009307 y[1] (numeric) = -1.41420251100962 absolute error = 3.135269821541442e-13 relative error = 2.21698787630056e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370016636901728 y[1] (closed_form) = -1.414078470543242 y[1] (numeric) = -1.414078470543555 absolute error = 3.137490267590692e-13 relative error = 2.21875258901677e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380078935214005 y[1] (closed_form) = -1.413810200667105 y[1] (numeric) = -1.413810200667418 absolute error = 3.130828929442941e-13 relative error = 2.214461975140413e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390141233526283 y[1] (closed_form) = -1.413398783931811 y[1] (numeric) = -1.413398783932123 absolute error = 3.12194714524594e-13 relative error = 2.20882257770257e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400010026101786 y[1] (closed_form) = -1.412856275099537 y[1] (numeric) = -1.412856275099849 absolute error = 3.12194714524594e-13 relative error = 2.209670721833328e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410072324414064 y[1] (closed_form) = -1.412161454425548 y[1] (numeric) = -1.41216145442586 absolute error = 3.12194714524594e-13 relative error = 2.210757938097039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420134622726341 y[1] (closed_form) = -1.411323653826297 y[1] (numeric) = -1.411323653826609 absolute error = 3.11750625314744e-13 relative error = 2.20892368996682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430003415301844 y[1] (closed_form) = -1.410363164634016 y[1] (numeric) = -1.410363164634328 absolute error = 3.115285807098189e-13 relative error = 2.208853637996561e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440065713614122 y[1] (closed_form) = -1.409242418178354 y[1] (numeric) = -1.409242418178665 absolute error = 3.113065361048939e-13 relative error = 2.209034670609063e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450128011926399 y[1] (closed_form) = -1.407978987346911 y[1] (numeric) = -1.407978987347222 absolute error = 3.106404022901188e-13 relative error = 2.206285783252107e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459996804501902 y[1] (closed_form) = -1.406601381789188 y[1] (numeric) = -1.406601381789498 absolute error = 3.104183576851938e-13 relative error = 2.20686799902289e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.47005910281418 y[1] (closed_form) = -1.405055717703589 y[1] (numeric) = -1.405055717703898 absolute error = 3.095301792654936e-13 relative error = 2.20297441137343e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480121401126457 y[1] (closed_form) = -1.403367793141416 y[1] (numeric) = -1.403367793141725 absolute error = 3.084199562408685e-13 relative error = 2.197712942738092e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.48999019370196 y[1] (closed_form) = -1.401574310423985 y[1] (numeric) = -1.401574310424292 absolute error = 3.075317778211684e-13 relative error = 2.19418817492551e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500052492014238 y[1] (closed_form) = -1.399605119088872 y[1] (numeric) = -1.399605119089179 absolute error = 3.070876886113183e-13 relative error = 2.194102353749814e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510114790326516 y[1] (closed_form) = -1.397494219144806 y[1] (numeric) = -1.397494219145113 absolute error = 3.070876886113183e-13 relative error = 2.197416521688656e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519983582902019 y[1] (closed_form) = -1.395286472569859 y[1] (numeric) = -1.395286472570166 absolute error = 3.064215547965432e-13 relative error = 2.196119297510077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530045881214296 y[1] (closed_form) = -1.392895525343644 y[1] (numeric) = -1.392895525343951 absolute error = 3.061995101916182e-13 relative error = 2.198294880128034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540108179526574 y[1] (closed_form) = -1.390363548848087 y[1] (numeric) = -1.390363548848393 absolute error = 3.05311331771918e-13 relative error = 2.195910069886885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550170477838851 y[1] (closed_form) = -1.387690799443258 y[1] (numeric) = -1.387690799443563 absolute error = 3.04645197957143e-13 relative error = 2.195339178434898e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560039270414354 y[1] (closed_form) = -1.384932971988739 y[1] (numeric) = -1.384932971989043 absolute error = 3.033129303275928e-13 relative error = 2.190091047453659e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570101568726632 y[1] (closed_form) = -1.381982196545591 y[1] (numeric) = -1.381982196545894 absolute error = 3.030908857226677e-13 relative error = 2.193160566614208e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580163867038909 y[1] (closed_form) = -1.378891496796653 y[1] (numeric) = -1.378891496796954 absolute error = 3.017586180931175e-13 relative error = 2.18841452568344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590032659614412 y[1] (closed_form) = -1.37572462162721 y[1] (numeric) = -1.37572462162751 absolute error = 3.002043058586423e-13 relative error = 2.182154052775184e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.60009495792669 y[1] (closed_form) = -1.372357701565084 y[1] (numeric) = -1.372357701565383 absolute error = 2.986499936241671e-13 relative error = 2.176181860484161e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610157256238967 y[1] (closed_form) = -1.368851831667593 y[1] (numeric) = -1.368851831667889 absolute error = 2.968736367847669e-13 relative error = 2.16877846028889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.62002604881447 y[1] (closed_form) = -1.365278757501313 y[1] (numeric) = -1.365278757501609 absolute error = 2.955413691552167e-13 relative error = 2.164696165756702e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630088347126748 y[1] (closed_form) = -1.36149872148587 y[1] (numeric) = -1.361498721486165 absolute error = 2.942091015256665e-13 relative error = 2.160920879929888e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640150645439026 y[1] (closed_form) = -1.35758083509586 y[1] (numeric) = -1.357580835096152 absolute error = 2.922107000813412e-13 relative error = 2.152436838582123e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650019438014529 y[1] (closed_form) = -1.353604776041435 y[1] (numeric) = -1.353604776041726 absolute error = 2.90878432451791e-13 relative error = 2.148917007388625e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2772 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660081736326806 y[1] (closed_form) = -1.34941502435099 y[1] (numeric) = -1.34941502435128 absolute error = 2.893241202173158e-13 relative error = 2.144070689864062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670144034639084 y[1] (closed_form) = -1.345088645748145 y[1] (numeric) = -1.345088645748433 absolute error = 2.873257187729905e-13 relative error = 2.136109911277843e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680012827214587 y[1] (closed_form) = -1.340713178413661 y[1] (numeric) = -1.340713178413948 absolute error = 2.864375403532904e-13 relative error = 2.13645651407861e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690075125526864 y[1] (closed_form) = -1.336117479880512 y[1] (numeric) = -1.336117479880797 absolute error = 2.848832281188152e-13 relative error = 2.132172001404337e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700137423839142 y[1] (closed_form) = -1.331386500797951 y[1] (numeric) = -1.331386500798234 absolute error = 2.833289158843399e-13 relative error = 2.128074122086487e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710006216414645 y[1] (closed_form) = -1.326615561073605 y[1] (numeric) = -1.326615561073886 absolute error = 2.815525590449397e-13 relative error = 2.122337226446255e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720068514726922 y[1] (closed_form) = -1.321618049693831 y[1] (numeric) = -1.321618049694111 absolute error = 2.802202914153895e-13 relative error = 2.120281964069014e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.7301308130392 y[1] (closed_form) = -1.31648672581735 y[1] (numeric) = -1.316486725817628 absolute error = 2.786659791809143e-13 relative error = 2.116739756778806e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999605614703 y[1] (closed_form) = -1.311324605334973 y[1] (numeric) = -1.31132460533525 absolute error = 2.76889622341514e-13 relative error = 2.1115261714378e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.75006190392698 y[1] (closed_form) = -1.305929776549757 y[1] (numeric) = -1.305929776550032 absolute error = 2.757793993168889e-13 relative error = 2.111747540097395e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760124202239258 y[1] (closed_form) = -1.300402723689691 y[1] (numeric) = -1.300402723689965 absolute error = 2.737809978725636e-13 relative error = 2.1053554632349e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769992994814761 y[1] (closed_form) = -1.294854065962274 y[1] (numeric) = -1.294854065962547 absolute error = 2.722266856380884e-13 relative error = 2.102373485893813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780055293127039 y[1] (closed_form) = -1.28906677261409 y[1] (numeric) = -1.289066772614361 absolute error = 2.708944180085382e-13 relative error = 2.101477004633307e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790117591439316 y[1] (closed_form) = -1.283148962553226 y[1] (numeric) = -1.283148962553494 absolute error = 2.680078381445128e-13 relative error = 2.088672835079315e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799986384014819 y[1] (closed_form) = -1.277218758797908 y[1] (numeric) = -1.277218758798174 absolute error = 2.662314813051125e-13 relative error = 2.084462661319539e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810048682327097 y[1] (closed_form) = -1.271044206765218 y[1] (numeric) = -1.271044206765483 absolute error = 2.646771690706373e-13 relative error = 2.082360060034697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820110980639374 y[1] (closed_form) = -1.264740962786492 y[1] (numeric) = -1.264740962786755 absolute error = 2.631228568361621e-13 relative error = 2.080448602348159e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830173278951652 y[1] (closed_form) = -1.258309665058834 y[1] (numeric) = -1.258309665059095 absolute error = 2.606803661819868e-13 relative error = 2.071671015654149e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840042071527155 y[1] (closed_form) = -1.251878290949162 y[1] (numeric) = -1.251878290949421 absolute error = 2.589040093425865e-13 relative error = 2.068124443201966e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850104369839432 y[1] (closed_form) = -1.24519528304718 y[1] (numeric) = -1.245195283047436 absolute error = 2.564615186884112e-13 relative error = 2.059608819436027e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.86016666815171 y[1] (closed_form) = -1.238386200376659 y[1] (numeric) = -1.238386200376913 absolute error = 2.544631172440859e-13 relative error = 2.054796130372659e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870035460727213 y[1] (closed_form) = -1.231586265596352 y[1] (numeric) = -1.231586265596603 absolute error = 2.517985819849855e-13 relative error = 2.044506251968156e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880097759039491 y[1] (closed_form) = -1.224529505377024 y[1] (numeric) = -1.224529505377273 absolute error = 2.491340467258851e-13 relative error = 2.034528736399688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890160057351768 y[1] (closed_form) = -1.217348762778336 y[1] (numeric) = -1.217348762778584 absolute error = 2.471356452815598e-13 relative error = 2.030113742568941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4381 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900028849927271 y[1] (closed_form) = -1.210186384113237 y[1] (numeric) = -1.210186384113482 absolute error = 2.453592884421596e-13 relative error = 2.027450413119187e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910091148239549 y[1] (closed_form) = -1.202762219386122 y[1] (numeric) = -1.202762219386364 absolute error = 2.424727085781342e-13 relative error = 2.015965455764731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920153446551826 y[1] (closed_form) = -1.195216276195435 y[1] (numeric) = -1.195216276195675 absolute error = 2.395861287141088e-13 relative error = 2.004542052227985e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930022239127329 y[1] (closed_form) = -1.18769789646269 y[1] (numeric) = -1.187697896462928 absolute error = 2.378097718747085e-13 relative error = 2.002274926839352e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4559 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940084537439607 y[1] (closed_form) = -1.179913005530913 y[1] (numeric) = -1.179913005531148 absolute error = 2.347011474057581e-13 relative error = 1.989139422191148e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950146835751884 y[1] (closed_form) = -1.172008649595458 y[1] (numeric) = -1.17200864959569 absolute error = 2.320366121466577e-13 relative error = 1.979819963161106e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960015628327387 y[1] (closed_form) = -1.164141031847978 y[1] (numeric) = -1.164141031848207 absolute error = 2.293720768875573e-13 relative error = 1.970311763029674e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970077926639665 y[1] (closed_form) = -1.156002417500854 y[1] (numeric) = -1.15600241750108 absolute error = 2.260414078136819e-13 relative error = 1.955371410921075e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4709 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980140224951942 y[1] (closed_form) = -1.147746759073013 y[1] (numeric) = -1.147746759073236 absolute error = 2.224886941348814e-13 relative error = 1.938482442891637e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990009017527445 y[1] (closed_form) = -1.139536980515859 y[1] (numeric) = -1.13953698051608 absolute error = 2.202682480856311e-13 relative error = 1.932962701973194e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000071315839723 y[1] (closed_form) = -1.131051963729636 y[1] (numeric) = -1.131051963729853 absolute error = 2.173816682216057e-13 relative error = 1.921942361558625e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010133614152001 y[1] (closed_form) = -1.122452429071015 y[1] (numeric) = -1.12245242907123 absolute error = 2.144950883575802e-13 relative error = 1.910950369051316e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020002406727504 y[1] (closed_form) = -1.113907874695201 y[1] (numeric) = -1.113907874695413 absolute error = 2.118305530984799e-13 relative error = 1.901688262653167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4853 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030064705039781 y[1] (closed_form) = -1.105084088047574 y[1] (numeric) = -1.105084088047783 absolute error = 2.089439732344545e-13 relative error = 1.890751803363758e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040127003352059 y[1] (closed_form) = -1.096148412748815 y[1] (numeric) = -1.096148412749021 absolute error = 2.05613304160579e-13 relative error = 1.875779791944065e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049995795927562 y[1] (closed_form) = -1.087276768688239 y[1] (numeric) = -1.087276768688442 absolute error = 2.022826350867035e-13 relative error = 1.860452103016514e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060058094239839 y[1] (closed_form) = -1.078122149492578 y[1] (numeric) = -1.078122149492777 absolute error = 1.989519660128281e-13 relative error = 1.845356447842812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070120392552117 y[1] (closed_form) = -1.068858371514913 y[1] (numeric) = -1.068858371515108 absolute error = 1.947331185192525e-13 relative error = 1.821879527811094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.07998918512762 y[1] (closed_form) = -1.059667618132408 y[1] (numeric) = -1.0596676181326 absolute error = 1.918465386552271e-13 relative error = 1.810440702088675e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090051483439897 y[1] (closed_form) = -1.050190401297853 y[1] (numeric) = -1.050190401298041 absolute error = 1.878497357665765e-13 relative error = 1.788720745632666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100113781752175 y[1] (closed_form) = -1.040606853742673 y[1] (numeric) = -1.040606853742857 absolute error = 1.838529328779259e-13 relative error = 1.766785719473938e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109982574327678 y[1] (closed_form) = -1.03110525845138 y[1] (numeric) = -1.03110525845156 absolute error = 1.807443084089755e-13 relative error = 1.752918113136538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120044872639955 y[1] (closed_form) = -1.021313969075248 y[1] (numeric) = -1.021313969075425 absolute error = 1.774136393351e-13 relative error = 1.737111649375948e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130107170952233 y[1] (closed_form) = -1.011419272688176 y[1] (numeric) = -1.011419272688351 absolute error = 1.747491040759996e-13 relative error = 1.727761263749177e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140169469264511 y[1] (closed_form) = -1.00142217111821 y[1] (numeric) = -1.001422171118381 absolute error = 1.711963903971991e-13 relative error = 1.709532656002988e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150038261840014 y[1] (closed_form) = -0.9915188282138629 y[1] (numeric) = -0.9915188282140309 absolute error = 1.679767436257862e-13 relative error = 1.694135692091516e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160100560152291 y[1] (closed_form) = -0.9813218836300851 y[1] (numeric) = -0.9813218836302493 absolute error = 1.642019853420607e-13 relative error = 1.673273449631513e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170162858464569 y[1] (closed_form) = -0.9710255811937477 y[1] (numeric) = -0.9710255811939081 absolute error = 1.604272270583351e-13 relative error = 1.652142128543216e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180031651040072 y[1] (closed_form) = -0.9608317805142528 y[1] (numeric) = -0.96083178051441 absolute error = 1.572075802869222e-13 relative error = 1.636161328914226e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190093949352349 y[1] (closed_form) = -0.9503417602520758 y[1] (numeric) = -0.9503417602522297 absolute error = 1.538769112130467e-13 relative error = 1.619174465954555e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200156247664627 y[1] (closed_form) = -0.9397555188436352 y[1] (numeric) = -0.9397555188437855 absolute error = 1.503241975342462e-13 relative error = 1.599609627397767e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.21002504024013 y[1] (closed_form) = -0.9292804300792438 y[1] (numeric) = -0.9292804300793903 absolute error = 1.465494392505207e-13 relative error = 1.577020611937602e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220087338552407 y[1] (closed_form) = -0.9185067702890852 y[1] (numeric) = -0.9185067702892278 absolute error = 1.425526363618701e-13 relative error = 1.55200419825979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230149636864685 y[1] (closed_form) = -0.9076401126133401 y[1] (numeric) = -0.9076401126134792 absolute error = 1.391109449855321e-13 relative error = 1.532666340461687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4922 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240018429440188 y[1] (closed_form) = -0.8968931584830507 y[1] (numeric) = -0.8968931584831863 absolute error = 1.355582313067316e-13 relative error = 1.511420061850024e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250080727752465 y[1] (closed_form) = -0.8858455504592826 y[1] (numeric) = -0.8858455504594142 absolute error = 1.315614284180811e-13 relative error = 1.485150863487102e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260143026064743 y[1] (closed_form) = -0.8747082514655469 y[1] (numeric) = -0.8747082514656747 absolute error = 1.277866701343555e-13 relative error = 1.460906192667702e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270011818640246 y[1] (closed_form) = -0.8636990992410301 y[1] (numeric) = -0.8636990992411542 absolute error = 1.241229341530925e-13 relative error = 1.437108528446594e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280074116952524 y[1] (closed_form) = -0.8523874807043108 y[1] (numeric) = -0.8523874807044305 absolute error = 1.196820420545919e-13 relative error = 1.404080242423328e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290136415264801 y[1] (closed_form) = -0.8409895587934955 y[1] (numeric) = -0.840989558793611 absolute error = 1.155742168634788e-13 relative error = 1.374264586938326e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300005207840304 y[1] (closed_form) = -0.8297281116030356 y[1] (numeric) = -0.8297281116031475 absolute error = 1.119104808822158e-13 relative error = 1.348760868979172e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310067506152582 y[1] (closed_form) = -0.8181626577609733 y[1] (numeric) = -0.8181626577610809 absolute error = 1.075806110861777e-13 relative error = 1.31490492832548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320129804464859 y[1] (closed_form) = -0.8065143657736747 y[1] (numeric) = -0.8065143657737783 absolute error = 1.035838081975271e-13 relative error = 1.284339282638332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329998597040362 y[1] (closed_form) = -0.7950107536939497 y[1] (numeric) = -0.7950107536940493 absolute error = 9.958700530887654e-14 relative error = 1.252649789278372e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.34006089535264 y[1] (closed_form) = -0.7832018680881365 y[1] (numeric) = -0.7832018680882323 absolute error = 9.581224702515101e-14 relative error = 1.223340379141804e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350123193664917 y[1] (closed_form) = -0.7713136840818372 y[1] (numeric) = -0.7713136840819292 absolute error = 9.203748874142548e-14 relative error = 1.193256267078755e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.35999198624042 y[1] (closed_form) = -0.7595782550255507 y[1] (numeric) = -0.7595782550256385 absolute error = 8.781864124784988e-14 relative error = 1.156150017023537e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370054284552698 y[1] (closed_form) = -0.7475365601732036 y[1] (numeric) = -0.7475365601732873 absolute error = 8.37108160567368e-14 relative error = 1.11982236744837e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380116582864976 y[1] (closed_form) = -0.7354191779968831 y[1] (numeric) = -0.7354191779969624 absolute error = 7.938094626069869e-14 relative error = 1.079397283015036e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389985375440479 y[1] (closed_form) = -0.7234624884044443 y[1] (numeric) = -0.7234624884045193 absolute error = 7.505107646466058e-14 relative error = 1.037387254592584e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400047673752756 y[1] (closed_form) = -0.7111988162430689 y[1] (numeric) = -0.7111988162431392 absolute error = 7.027711745877241e-14 relative error = 9.881500904348181e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410109972065034 y[1] (closed_form) = -0.698863135917702 y[1] (numeric) = -0.6988631359177679 absolute error = 6.59472476627343e-14 relative error = 9.436360894345446e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420172270377311 y[1] (closed_form) = -0.686456696403555 y[1] (numeric) = -0.686456696403617 absolute error = 6.195044477408373e-14 relative error = 9.024669013886964e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430041062952814 y[1] (closed_form) = -0.6742213234050011 y[1] (numeric) = -0.674221323405059 absolute error = 5.795364188543317e-14 relative error = 8.595640611416962e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440103361265092 y[1] (closed_form) = -0.6616784413185971 y[1] (numeric) = -0.6616784413186504 absolute error = 5.329070518200751e-14 relative error = 8.053867536595185e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450165659577369 y[1] (closed_form) = -0.6490685649562974 y[1] (numeric) = -0.6490685649563463 absolute error = 4.89608353859694e-14 relative error = 7.543245510474845e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460034452152872 y[1] (closed_form) = -0.6366373442434154 y[1] (numeric) = -0.63663734424346 absolute error = 4.451994328746878e-14 relative error = 6.992983319314485e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.402 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47009675046515 y[1] (closed_form) = -0.6238985431694182 y[1] (numeric) = -0.6238985431694577 absolute error = 3.952393967665557e-14 relative error = 6.334994705368776e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480159048777427 y[1] (closed_form) = -0.6110965729961696 y[1] (numeric) = -0.6110965729962047 absolute error = 3.508304757815495e-14 relative error = 5.740998907283162e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.49002784135293 y[1] (closed_form) = -0.5984806868989829 y[1] (numeric) = -0.5984806868990137 absolute error = 3.075317778211684e-14 relative error = 5.138541385765325e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500090139665208 y[1] (closed_form) = -0.5855574258470098 y[1] (numeric) = -0.5855574258470361 absolute error = 2.631228568361621e-14 relative error = 4.4935448723164e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510152437977486 y[1] (closed_form) = -0.5725748776953064 y[1] (numeric) = -0.5725748776953281 absolute error = 2.176037128265307e-14 relative error = 3.800441152822071e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520021230552989 y[1] (closed_form) = -0.5597856746569913 y[1] (numeric) = -0.5597856746570077 absolute error = 1.643130076445232e-14 relative error = 2.935284254017504e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530083528865266 y[1] (closed_form) = -0.5466895785650432 y[1] (numeric) = -0.5466895785650551 absolute error = 1.187938636348917e-14 relative error = 2.172967407696031e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540145827177544 y[1] (closed_form) = -0.5335381307037634 y[1] (numeric) = -0.5335381307037703 absolute error = 6.883382752675971e-15 relative error = 1.290138859165782e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550014619753047 y[1] (closed_form) = -0.5205871150723169 y[1] (numeric) = -0.5205871150723195 absolute error = 2.55351295663786e-15 relative error = 4.905063691949312e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560076918065324 y[1] (closed_form) = -0.5073299643497275 y[1] (numeric) = -0.5073299643497257 absolute error = 1.887379141862766e-15 relative error = 3.720220121990868e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570139216377602 y[1] (closed_form) = -0.4940214469791119 y[1] (numeric) = -0.4940214469791057 absolute error = 6.217248937900877e-15 relative error = 1.25849777897674e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580008008953105 y[1] (closed_form) = -0.4809202686587768 y[1] (numeric) = -0.4809202686587662 absolute error = 1.060262988517024e-14 relative error = 2.204654404510665e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590070307265382 y[1] (closed_form) = -0.4675139885893111 y[1] (numeric) = -0.4675139885892958 absolute error = 1.532107773982716e-14 relative error = 3.277137821278328e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.60013260557766 y[1] (closed_form) = -0.4540603731992718 y[1] (numeric) = -0.4540603731992518 absolute error = 1.998401444325282e-14 relative error = 4.401180024243716e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610001398153163 y[1] (closed_form) = -0.440820817171029 y[1] (numeric) = -0.4408208171710045 absolute error = 2.44804176929847e-14 relative error = 5.553371515004208e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.62006369646544 y[1] (closed_form) = -0.427277467185662 y[1] (numeric) = -0.4272774671856328 absolute error = 2.919886554764162e-14 relative error = 6.833701233993234e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630125994777718 y[1] (closed_form) = -0.4136908557869964 y[1] (numeric) = -0.4136908557869624 absolute error = 3.402833570476105e-14 relative error = 8.225546982426354e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639994787353221 y[1] (closed_form) = -0.4003248315075509 y[1] (numeric) = -0.4003248315075121 absolute error = 3.874678355941796e-14 relative error = 9.67883591270234e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650057085665499 y[1] (closed_form) = -0.3866565943365753 y[1] (numeric) = -0.3866565943365317 absolute error = 4.368727601899991e-14 relative error = 1.129872777521316e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660119383977776 y[1] (closed_form) = -0.3729492085747735 y[1] (numeric) = -0.372949208574725 absolute error = 4.85722573273506e-14 relative error = 1.302382635774175e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669988176553279 y[1] (closed_form) = -0.3594687392635694 y[1] (numeric) = -0.3594687392635162 absolute error = 5.312417172831374e-14 relative error = 1.477852339459262e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2458 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680050474865557 y[1] (closed_form) = -0.3456879099777922 y[1] (numeric) = -0.3456879099777346 absolute error = 5.762057497804562e-14 relative error = 1.666838015299618e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.690112773177834 y[1] (closed_form) = -0.331872080139226 y[1] (numeric) = -0.3318720801391633 absolute error = 6.267208974009009e-14 relative error = 1.888441164252144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699981565753337 y[1] (closed_form) = -0.3182892919631286 y[1] (numeric) = -0.3182892919630613 absolute error = 6.733502644351574e-14 relative error = 2.115529115925018e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710043864065615 y[1] (closed_form) = -0.3044082669140127 y[1] (numeric) = -0.3044082669139403 absolute error = 7.238654120556021e-14 relative error = 2.377942686622486e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720106162377892 y[1] (closed_form) = -0.2904964208344004 y[1] (numeric) = -0.2904964208343231 absolute error = 7.732703366514215e-14 relative error = 2.661892819299932e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.73016846069017 y[1] (closed_form) = -0.2765551622846989 y[1] (numeric) = -0.2765551622846164 absolute error = 8.248957072964913e-14 relative error = 2.982752881854742e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740037253265673 y[1] (closed_form) = -0.2628547976684732 y[1] (numeric) = -0.2628547976683862 absolute error = 8.704148513061227e-14 relative error = 3.311390391298611e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.75009955157795 y[1] (closed_form) = -0.2488594495535947 y[1] (numeric) = -0.2488594495535028 absolute error = 9.198197759019422e-14 relative error = 3.696141647632506e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760161849890228 y[1] (closed_form) = -0.2348389046700422 y[1] (numeric) = -0.2348389046699452 absolute error = 9.700573677662305e-14 relative error = 4.130735361456394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770030642465731 y[1] (closed_form) = -0.2210648810809068 y[1] (numeric) = -0.221064881080805 absolute error = 1.018352069337425e-13 relative error = 4.606575519178559e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780092940778009 y[1] (closed_form) = -0.2069986202496252 y[1] (numeric) = -0.2069986202495184 absolute error = 1.068034549689401e-13 relative error = 5.159621587822319e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790155239090286 y[1] (closed_form) = -0.1929114010164839 y[1] (numeric) = -0.1929114010163723 absolute error = 1.115774139748282e-13 relative error = 5.783868313998414e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800024031665789 y[1] (closed_form) = -0.1790761086839326 y[1] (numeric) = -0.1790761086838163 absolute error = 1.163513729807164e-13 relative error = 6.497314121677464e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810086329978067 y[1] (closed_form) = -0.164951588243649 y[1] (numeric) = -0.1649515882435277 absolute error = 1.212363542890671e-13 relative error = 7.349814304909246e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820148628290344 y[1] (closed_form) = -0.1508103666211562 y[1] (numeric) = -0.1508103666210301 absolute error = 1.260658244461865e-13 relative error = 8.359228033897079e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830017420865847 y[1] (closed_form) = -0.1369262508881208 y[1] (numeric) = -0.1369262508879899 absolute error = 1.309230501789216e-13 relative error = 9.561574156141593e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840079719178125 y[1] (closed_form) = -0.1227561763528494 y[1] (numeric) = -0.1227561763527136 absolute error = 1.358496648506957e-13 relative error = 1.106662563846975e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850142017490402 y[1] (closed_form) = -0.1085736728783335 y[1] (numeric) = -0.1085736728781928 absolute error = 1.407207683712386e-13 relative error = 1.296085548555853e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860010810065905 y[1] (closed_form) = -0.09465322300614964 y[1] (numeric) = -0.09465322300600412 absolute error = 1.455224829527424e-13 relative error = 1.537427657833561e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870073108378183 y[1] (closed_form) = -0.08045034086745129 y[1] (numeric) = -0.08045034086730071 absolute error = 1.505739977147869e-13 relative error = 1.871639027146823e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05679 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880135406690461 y[1] (closed_form) = -0.06623931321275089 y[1] (numeric) = -0.06623931321259521 absolute error = 1.556810236280626e-13 relative error = 2.350281367320916e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890004199265964 y[1] (closed_form) = -0.05229505114661914 y[1] (numeric) = -0.05229505114645865 absolute error = 1.604896771034703e-13 relative error = 3.068926668672852e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900066497578241 y[1] (closed_form) = -0.03807213740767346 y[1] (numeric) = -0.03807213740750801 absolute error = 1.65450986244764e-13 relative error = 4.34572360551045e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910128795890519 y[1] (closed_form) = -0.02384536890315259 y[1] (numeric) = -0.02384536890298218 absolute error = 1.704053564921537e-13 relative error = 7.146266312098216e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919997588466022 y[1] (closed_form) = -0.009889838008198204 y[1] (numeric) = -0.009889838008022961 absolute error = 1.75243500266653e-13 relative error = 1.771955214245011e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930059886778299 y[1] (closed_form) = 0.004340313308670352 y[1] (numeric) = 0.004340313308850527 absolute error = 1.801753191088551e-13 relative error = 4.151205369182243e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940122185090577 y[1] (closed_form) = 0.01857002517318684 y[1] (numeric) = 0.01857002517337205 absolute error = 1.852094866361398e-13 relative error = 9.973572190066965e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999097766608 y[1] (closed_form) = 0.03252427139512193 y[1] (numeric) = 0.03252427139531205 absolute error = 1.901187540731542e-13 relative error = 5.845442370206904e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.960053275978357 y[1] (closed_form) = 0.04674885975712739 y[1] (numeric) = 0.04674885975732237 absolute error = 1.949759798058892e-13 relative error = 4.170710918273529e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03304 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970115574290635 y[1] (closed_form) = 0.06096871484415689 y[1] (numeric) = 0.06096871484435678 absolute error = 1.998887166898555e-13 relative error = 3.278545680367288e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979984366866138 y[1] (closed_form) = 0.07490912404684047 y[1] (numeric) = 0.07490912404704519 absolute error = 2.047251257408789e-13 relative error = 2.732979838515596e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990046665178415 y[1] (closed_form) = 0.08911535392527448 y[1] (numeric) = 0.08911535392548428 absolute error = 2.09804396078539e-13 relative error = 2.354301327854966e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000108963490693 y[1] (closed_form) = 0.1033125609638604 y[1] (numeric) = 0.1033125609640745 absolute error = 2.140926325111536e-13 relative error = 2.072280761543071e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010171261802971 y[1] (closed_form) = 0.1174993077096804 y[1] (numeric) = 0.1174993077098995 absolute error = 2.19074758334159e-13 relative error = 1.864477013562098e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020040054378474 y[1] (closed_form) = 0.1314016856282273 y[1] (numeric) = 0.1314016856284512 absolute error = 2.239319840668941e-13 relative error = 1.70417893040171e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030102352690752 y[1] (closed_form) = 0.1455634737201453 y[1] (numeric) = 0.1455634737203742 absolute error = 2.28872476526476e-13 relative error = 1.572320793652516e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040164651003029 y[1] (closed_form) = 0.1597105236569268 y[1] (numeric) = 0.1597105236571606 absolute error = 2.337852134104423e-13 relative error = 1.46380594125804e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050033443578532 y[1] (closed_form) = 0.1735698167901194 y[1] (numeric) = 0.1735698167903581 absolute error = 2.387257058700243e-13 relative error = 1.375387208933287e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.06009574189081 y[1] (closed_form) = 0.1876834468977633 y[1] (numeric) = 0.1876834468980068 absolute error = 2.435551760271437e-13 relative error = 1.297691299115022e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1315 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070158040203087 y[1] (closed_form) = 0.2017780742453996 y[1] (numeric) = 0.2017780742456481 absolute error = 2.484401573354944e-13 relative error = 1.231254477299377e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.08002683277859 y[1] (closed_form) = 0.2155818156607233 y[1] (numeric) = 0.2155818156609766 absolute error = 2.532696274926138e-13 relative error = 1.174819066795516e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090089131090868 y[1] (closed_form) = 0.2296345920663243 y[1] (numeric) = 0.2296345920665826 absolute error = 2.58265631103427e-13 relative error = 1.124680862667387e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100151429403145 y[1] (closed_form) = 0.2436641182007128 y[1] (numeric) = 0.2436641182009761 absolute error = 2.633171458654715e-13 relative error = 1.080656223862103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110020221978648 y[1] (closed_form) = 0.2573998909364205 y[1] (numeric) = 0.2573998909366885 absolute error = 2.68063349295744e-13 relative error = 1.041427594706936e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120082520290926 y[1] (closed_form) = 0.2713791726623033 y[1] (numeric) = 0.2713791726625763 absolute error = 2.730593529065573e-13 relative error = 1.00619126452399e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130144818603203 y[1] (closed_form) = 0.2853309775202237 y[1] (numeric) = 0.2853309775205013 absolute error = 2.775557561562891e-13 relative error = 9.727501674318432e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140013611178706 y[1] (closed_form) = 0.2989864257548395 y[1] (numeric) = 0.2989864257551216 absolute error = 2.821076705572523e-13 relative error = 9.435467508099271e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150075909490984 y[1] (closed_form) = 0.3128796379344357 y[1] (numeric) = 0.312879637934723 absolute error = 2.87214696470528e-13 relative error = 9.179718385212212e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160138207803262 y[1] (closed_form) = 0.3267411713657503 y[1] (numeric) = 0.3267411713660423 absolute error = 2.919886554764162e-13 relative error = 8.93639005626161e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170007000378765 y[1] (closed_form) = 0.3403040115325755 y[1] (numeric) = 0.3403040115328724 absolute error = 2.968736367847669e-13 relative error = 8.723777173468574e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180069298691042 y[1] (closed_form) = 0.3540986567219685 y[1] (numeric) = 0.3540986567222703 absolute error = 3.018141292443488e-13 relative error = 8.52344744931714e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.19013159700332 y[1] (closed_form) = 0.3678574497789339 y[1] (numeric) = 0.3678574497792405 absolute error = 3.06588088250237e-13 relative error = 8.334426513163806e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200000389578823 y[1] (closed_form) = 0.3813154816155565 y[1] (numeric) = 0.3813154816158679 absolute error = 3.113620472561252e-13 relative error = 8.165470909729319e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.2100626878911 y[1] (closed_form) = 0.3949991510353816 y[1] (numeric) = 0.3949991510356977 absolute error = 3.160249839595508e-13 relative error = 8.000649700921591e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220124986203378 y[1] (closed_form) = 0.4086428271889151 y[1] (numeric) = 0.408642827189236 absolute error = 3.208544541166702e-13 relative error = 7.851708944063749e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229993778778881 y[1] (closed_form) = 0.421983944711785 y[1] (numeric) = 0.4219839447121105 absolute error = 3.255173908200959e-13 relative error = 7.713975730579615e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240056077091158 y[1] (closed_form) = 0.4355443294093725 y[1] (numeric) = 0.4355443294097029 absolute error = 3.304023721284466e-13 relative error = 7.585964270881325e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250118375403436 y[1] (closed_form) = 0.4490606156821857 y[1] (numeric) = 0.4490606156825208 absolute error = 3.35009797680641e-13 relative error = 7.460235566900347e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259987167978939 y[1] (closed_form) = 0.4622728180763815 y[1] (numeric) = 0.4622728180767212 absolute error = 3.396727343840666e-13 relative error = 7.347884649534864e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270049466291217 y[1] (closed_form) = 0.4756977199981025 y[1] (numeric) = 0.4756977199984468 absolute error = 3.443911822387236e-13 relative error = 7.239706388336217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3168 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280111764603494 y[1] (closed_form) = 0.4890744580046851 y[1] (numeric) = 0.4890744580050343 absolute error = 3.491651412446117e-13 relative error = 7.139304364188793e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290174062915772 y[1] (closed_form) = 0.5024016777148762 y[1] (numeric) = 0.5024016777152304 absolute error = 3.541611448554249e-13 relative error = 7.049362304407332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300042855491275 y[1] (closed_form) = 0.5154232033829333 y[1] (numeric) = 0.5154232033832922 absolute error = 3.588240815588506e-13 relative error = 6.961737058086274e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310105153803552 y[1] (closed_form) = 0.5286483602664582 y[1] (numeric) = 0.5286483602668216 absolute error = 3.633759959598137e-13 relative error = 6.873680564840093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.32016745211583 y[1] (closed_form) = 0.5418199920358373 y[1] (numeric) = 0.5418199920362048 absolute error = 3.674838211509268e-13 relative error = 6.7823968578594e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330036244691333 y[1] (closed_form) = 0.5546850450631429 y[1] (numeric) = 0.5546850450635147 absolute error = 3.718136909469649e-13 relative error = 6.70314972895365e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.34009854300361 y[1] (closed_form) = 0.5677467243194537 y[1] (numeric) = 0.5677467243198299 absolute error = 3.76143560743003e-13 relative error = 6.625200016677833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350160841315888 y[1] (closed_form) = 0.580750919791629 y[1] (numeric) = 0.5807509197920099 absolute error = 3.809175197488912e-13 relative error = 6.559051510164854e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360029633891391 y[1] (closed_form) = 0.5934479276003937 y[1] (numeric) = 0.593447927600779 absolute error = 3.853584118473918e-13 relative error = 6.49355055304664e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3809 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370091932203668 y[1] (closed_form) = 0.6063343797793379 y[1] (numeric) = 0.6063343797797277 absolute error = 3.897993039458925e-13 relative error = 6.428784461929264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380154230515946 y[1] (closed_form) = 0.6191594412128877 y[1] (numeric) = 0.6191594412132819 absolute error = 3.942401960443931e-13 relative error = 6.367345304015806e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390023023091449 y[1] (closed_form) = 0.6316769823880386 y[1] (numeric) = 0.6316769823884374 absolute error = 3.987921104453562e-13 relative error = 6.31322846271417e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400085321403727 y[1] (closed_form) = 0.6443766156625204 y[1] (numeric) = 0.6443766156629237 absolute error = 4.033440248463194e-13 relative error = 6.259445408825371e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410147619716004 y[1] (closed_form) = 0.6570110064535317 y[1] (numeric) = 0.6570110064539397 absolute error = 4.08006961549745e-13 relative error = 6.210047587362633e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.420016412291507 y[1] (closed_form) = 0.669337821016686 y[1] (numeric) = 0.6693378210170984 absolute error = 4.123368313457831e-13 relative error = 6.160369523411466e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430078710603785 y[1] (closed_form) = 0.6818392116099318 y[1] (numeric) = 0.6818392116103483 absolute error = 4.165556788393587e-13 relative error = 6.10929485641936e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440141008916062 y[1] (closed_form) = 0.6942715666695909 y[1] (numeric) = 0.6942715666700119 absolute error = 4.209965709378594e-13 relative error = 6.063860183089059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450009801491565 y[1] (closed_form) = 0.7063965662078112 y[1] (numeric) = 0.7063965662082363 absolute error = 4.251043961289724e-13 relative error = 6.017928405443482e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460072099803843 y[1] (closed_form) = 0.7186884686694669 y[1] (numeric) = 0.7186884686698963 absolute error = 4.294342659250105e-13 relative error = 5.975249146824872e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.47013439811612 y[1] (closed_form) = 0.7309076046473649 y[1] (numeric) = 0.7309076046477982 absolute error = 4.333200465111986e-13 relative error = 5.928520154339604e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480003190691623 y[1] (closed_form) = 0.7428198822875854 y[1] (numeric) = 0.7428198822880226 absolute error = 4.372058270973866e-13 relative error = 5.885758277645573e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490065489003901 y[1] (closed_form) = 0.7548912396094047 y[1] (numeric) = 0.7548912396098456 absolute error = 4.408695630786497e-13 relative error = 5.840173258690405e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500127787316178 y[1] (closed_form) = 0.7668861649533634 y[1] (numeric) = 0.7668861649538085 absolute error = 4.450884105722253e-13 relative error = 5.803839355992195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509996579891681 y[1] (closed_form) = 0.7785750051735146 y[1] (numeric) = 0.7785750051739638 absolute error = 4.491962357633383e-13 relative error = 5.76946643263008e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520058878203959 y[1] (closed_form) = 0.790414958735534 y[1] (numeric) = 0.7904149587359873 absolute error = 4.533040609544514e-13 relative error = 5.735013690525599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530121176516237 y[1] (closed_form) = 0.8021748835789025 y[1] (numeric) = 0.8021748835793598 absolute error = 4.57300863843102e-13 relative error = 5.700762679116237e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.53998996909174 y[1] (closed_form) = 0.8136297718469082 y[1] (numeric) = 0.8136297718473694 absolute error = 4.6118664442929e-13 relative error = 5.668261663808271e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550052267404017 y[1] (closed_form) = 0.8252276711851672 y[1] (numeric) = 0.8252276711856319 absolute error = 4.647393581080905e-13 relative error = 5.631650201945432e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560114565716295 y[1] (closed_form) = 0.8367420170526949 y[1] (numeric) = 0.8367420170531636 absolute error = 4.687361609967411e-13 relative error = 5.60191972488483e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569983358291798 y[1] (closed_form) = 0.8479526492846724 y[1] (numeric) = 0.847952649285145 absolute error = 4.726219415829291e-13 relative error = 5.573683176550366e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580045656604075 y[1] (closed_form) = 0.8592980616716879 y[1] (numeric) = 0.8592980616721646 absolute error = 4.767297667740422e-13 relative error = 5.547897615951873e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590107954916353 y[1] (closed_form) = 0.8705564709952432 y[1] (numeric) = 0.8705564709957239 absolute error = 4.806155473602303e-13 relative error = 5.520785421430247e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.60017025322863 y[1] (closed_form) = 0.8817267373527313 y[1] (numeric) = 0.8817267373532159 absolute error = 4.846123502488808e-13 relative error = 5.496173924631862e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610039045804133 y[1] (closed_form) = 0.8925954826537775 y[1] (numeric) = 0.8925954826542661 absolute error = 4.886091531375314e-13 relative error = 5.474026730281521e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620101344116411 y[1] (closed_form) = 0.903587828089353 y[1] (numeric) = 0.9035878280898457 absolute error = 4.927169783286445e-13 relative error = 5.452895258344728e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630163642428688 y[1] (closed_form) = 0.9144886861672169 y[1] (numeric) = 0.9144886861677136 absolute error = 4.96713781217295e-13 relative error = 5.431601163914995e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640032435004191 y[1] (closed_form) = 0.9250899819039804 y[1] (numeric) = 0.9250899819044809 absolute error = 5.004885395010206e-13 relative error = 5.410160625358158e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650094733316469 y[1] (closed_form) = 0.9358063754416028 y[1] (numeric) = 0.9358063754421068 absolute error = 5.039302308773586e-13 relative error = 5.384983946487393e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660157031628747 y[1] (closed_form) = 0.9464280195260371 y[1] (numeric) = 0.9464280195265447 absolute error = 5.075939668586216e-13 relative error = 5.363260135861365e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.67002582420425 y[1] (closed_form) = 0.9567523294518098 y[1] (numeric) = 0.9567523294523212 absolute error = 5.114797474448096e-13 relative error = 5.34599949955567e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680088122516527 y[1] (closed_form) = 0.9671831313101603 y[1] (numeric) = 0.9671831313106753 absolute error = 5.150324611236101e-13 relative error = 5.325076962683785e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690150420828805 y[1] (closed_form) = 0.9775160068503863 y[1] (numeric) = 0.9775160068509051 absolute error = 5.188072194073357e-13 relative error = 5.307403825324179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700019213404308 y[1] (closed_form) = 0.9875540438771566 y[1] (numeric) = 0.987554043877679 absolute error = 5.223599330861362e-13 relative error = 5.289431361501399e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710081511716585 y[1] (closed_form) = 0.9976898711749012 y[1] (numeric) = 0.9976898711754273 absolute error = 5.261346913698617e-13 relative error = 5.273529446082019e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720143810028863 y[1] (closed_form) = 1.007724683377829 y[1] (numeric) = 1.007724683378359 absolute error = 5.300204719560497e-13 relative error = 5.259576159030408e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730012602604366 y[1] (closed_form) = 1.017467417930352 y[1] (numeric) = 1.017467417930886 absolute error = 5.340172748447003e-13 relative error = 5.248495091183894e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740074900916643 y[1] (closed_form) = 1.02729915312638 y[1] (numeric) = 1.027299153126918 absolute error = 5.384581669432009e-13 relative error = 5.241493340128928e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750137199228921 y[1] (closed_form) = 1.03702687531761 y[1] (numeric) = 1.037026875318151 absolute error = 5.415667914121514e-13 relative error = 5.222302375203979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.760005991804424 y[1] (closed_form) = 1.046465543455833 y[1] (numeric) = 1.046465543456378 absolute error = 5.448974604860268e-13 relative error = 5.207027253726531e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.770068290116702 y[1] (closed_form) = 1.055984342550814 y[1] (numeric) = 1.055984342551362 absolute error = 5.480060849549773e-13 relative error = 5.18952850788701e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.780130588428979 y[1] (closed_form) = 1.065396224294453 y[1] (numeric) = 1.065396224295005 absolute error = 5.522249324485529e-13 relative error = 5.183282236749598e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999381004482 y[1] (closed_form) = 1.074522335596998 y[1] (numeric) = 1.074522335597554 absolute error = 5.559996907322784e-13 relative error = 5.174389329221046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.80006167931676 y[1] (closed_form) = 1.083719636088878 y[1] (numeric) = 1.083719636089437 absolute error = 5.588862705963038e-13 relative error = 5.15711123047759e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810123977629037 y[1] (closed_form) = 1.092807211058872 y[1] (numeric) = 1.092807211059434 absolute error = 5.622169396701793e-13 relative error = 5.144703786548233e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.81999277020454 y[1] (closed_form) = 1.101612556260473 y[1] (numeric) = 1.101612556261039 absolute error = 5.657696533489798e-13 relative error = 5.135831560140687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4885 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830055068516818 y[1] (closed_form) = 1.110480084846749 y[1] (numeric) = 1.110480084847319 absolute error = 5.695444116327053e-13 relative error = 5.128812478535397e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840117366829095 y[1] (closed_form) = 1.11923517844265 y[1] (numeric) = 1.119235178443223 absolute error = 5.728750807065808e-13 relative error = 5.11845134731829e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849986159404598 y[1] (closed_form) = 1.127711836818683 y[1] (numeric) = 1.127711836819259 absolute error = 5.759837051755312e-13 relative error = 5.107543313550763e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860048457716876 y[1] (closed_form) = 1.13624161683854 y[1] (numeric) = 1.136241616839119 absolute error = 5.795364188543317e-13 relative error = 5.100468159816435e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870110756029153 y[1] (closed_form) = 1.144656353538848 y[1] (numeric) = 1.144656353539431 absolute error = 5.828670879282072e-13 relative error = 5.092070525151071e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880173054341431 y[1] (closed_form) = 1.152955194935991 y[1] (numeric) = 1.152955194936576 absolute error = 5.848654893725325e-13 relative error = 5.072751239088718e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890041846916934 y[1] (closed_form) = 1.16098105863991 y[1] (numeric) = 1.160981058640497 absolute error = 5.873079800267078e-13 relative error = 5.058721463679516e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900104145229212 y[1] (closed_form) = 1.169047869086394 y[1] (numeric) = 1.169047869086984 absolute error = 5.899725152858082e-13 relative error = 5.046606994347195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4652 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910166443541489 y[1] (closed_form) = 1.176996314613325 y[1] (numeric) = 1.176996314613919 absolute error = 5.937472735695337e-13 relative error = 5.044597559038199e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920035236116992 y[1] (closed_form) = 1.184676156233399 y[1] (numeric) = 1.184676156233995 absolute error = 5.966338534335591e-13 relative error = 5.036261178164656e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.93009753442927 y[1] (closed_form) = 1.192387784040002 y[1] (numeric) = 1.192387784040601 absolute error = 5.992983886926595e-13 relative error = 5.026035965096354e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940159832741547 y[1] (closed_form) = 1.199978683784166 y[1] (numeric) = 1.199978683784768 absolute error = 6.019629239517599e-13 relative error = 5.01644680931709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.95002862531705 y[1] (closed_form) = 1.207305595026711 y[1] (numeric) = 1.207305595027316 absolute error = 6.052935930256353e-13 relative error = 5.013590556682906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960090923629328 y[1] (closed_form) = 1.214655103306933 y[1] (numeric) = 1.214655103307541 absolute error = 6.088463067044358e-13 relative error = 5.012503590910989e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970153221941605 y[1] (closed_form) = 1.221881628981061 y[1] (numeric) = 1.221881628981673 absolute error = 6.112887973586112e-13 relative error = 5.002847926180629e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980022014517108 y[1] (closed_form) = 1.22884901902596 y[1] (numeric) = 1.228849019026574 absolute error = 6.135092434078615e-13 relative error = 4.992551842488802e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990084312829386 y[1] (closed_form) = 1.235829796632835 y[1] (numeric) = 1.235829796633451 absolute error = 6.163958232718869e-13 relative error = 4.98770805616866e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000193505736774636 NO POLE (given) for Equation 1 NO 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 ) = neg ( sin ( x ) ) - cos ( x ) ; Iterations = 22482 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 2 Minutes 59.0 Seconds Percent Done = 100 %