##############ECHO OF PROBLEM################# ##############temp/ln_c_exp_c_sqrt_cpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 ) + exp ( 0.1 ) + sqrt ( 0.1 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // 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((ln(c(0.1)) + exp(c(0.1)) + sqrt(c(0.1))) * 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) = -0.08811864089015597 y[1] (numeric) = -0.08811864089015597 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = -0.09693050497917159 y[1] (numeric) = -0.09693050497917155 absolute error = 4.163336342344337e-17 relative error = 4.295176573400659e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = -0.1057423690681872 y[1] (numeric) = -0.1057423690681871 absolute error = 6.938893903907228e-17 relative error = 6.562075320473227e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = -0.1145542331572028 y[1] (numeric) = -0.1145542331572027 absolute error = 9.71445146547012e-17 relative error = 8.480220414150017e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = -0.1233660972462184 y[1] (numeric) = -0.1233660972462183 absolute error = 1.249000902703301e-16 relative error = 1.012434478015869e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = -0.132177961335234 y[1] (numeric) = -0.1321779613352339 absolute error = 1.665334536937735e-16 relative error = 1.25991846153086e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = -0.1409898254242496 y[1] (numeric) = -0.1409898254242494 absolute error = 1.942890293094024e-16 relative error = 1.378035817299378e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = -0.1498016895132652 y[1] (numeric) = -0.149801689513265 absolute error = 2.220446049250313e-16 relative error = 1.482257013565717e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = -0.1586135536022808 y[1] (numeric) = -0.1586135536022806 absolute error = 2.498001805406602e-16 relative error = 1.574898076913574e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = -0.1674254176912964 y[1] (numeric) = -0.1674254176912962 absolute error = 2.775557561562891e-16 relative error = 1.65778744938271e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = -0.176237281780312 y[1] (numeric) = -0.1762372817803117 absolute error = 3.05311331771918e-16 relative error = 1.732387884604932e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = -0.1850491458693276 y[1] (numeric) = -0.1850491458693273 absolute error = 3.33066907387547e-16 relative error = 1.799883516472656e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = -0.1938610099583432 y[1] (numeric) = -0.1938610099583429 absolute error = 3.608224830031759e-16 relative error = 1.861243181806952e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = -0.2026728740473588 y[1] (numeric) = -0.2026728740473585 absolute error = 3.885780586188048e-16 relative error = 1.917267224068699e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = -0.2114847381363744 y[1] (numeric) = -0.211484738136374 absolute error = 4.163336342344337e-16 relative error = 1.968622596141968e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = -0.22029660222539 y[1] (numeric) = -0.2202966022253896 absolute error = 4.440892098500626e-16 relative error = 2.015869538449375e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = -0.2291084663144057 y[1] (numeric) = -0.2291084663144052 absolute error = 4.718447854656915e-16 relative error = 2.059482100579289e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = -0.2379203304034213 y[1] (numeric) = -0.2379203304034208 absolute error = 4.996003610813204e-16 relative error = 2.099864102551432e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = -0.2467321944924369 y[1] (numeric) = -0.2467321944924363 absolute error = 5.273559366969494e-16 relative error = 2.137361675811279e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = -0.2555440585814525 y[1] (numeric) = -0.2555440585814519 absolute error = 5.551115123125783e-16 relative error = 2.172273209535964e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = -0.264355922670468 y[1] (numeric) = -0.2643559226704675 absolute error = 5.551115123125783e-16 relative error = 2.099864102551433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = -0.2731677867594837 y[1] (numeric) = -0.2731677867594831 absolute error = 6.106226635438361e-16 relative error = 2.235339205941847e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = -0.2819796508484993 y[1] (numeric) = -0.2819796508484986 absolute error = 6.661338147750939e-16 relative error = 2.362347115370361e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = -0.2907915149375149 y[1] (numeric) = -0.2907915149375142 absolute error = 6.661338147750939e-16 relative error = 2.290760839147017e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = -0.2996033790265305 y[1] (numeric) = -0.2996033790265298 absolute error = 7.216449660063518e-16 relative error = 2.40866764704429e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = -0.3084152431155461 y[1] (numeric) = -0.3084152431155454 absolute error = 7.216449660063518e-16 relative error = 2.339848571414453e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = -0.3172271072045617 y[1] (numeric) = -0.3172271072045609 absolute error = 7.771561172376096e-16 relative error = 2.449841452976671e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = -0.3260389712935773 y[1] (numeric) = -0.3260389712935765 absolute error = 7.771561172376096e-16 relative error = 2.383629521815139e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = -0.3348508353825929 y[1] (numeric) = -0.3348508353825921 absolute error = 8.326672684688674e-16 relative error = 2.486681174074064e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = -0.3436626994716085 y[1] (numeric) = -0.3436626994716077 absolute error = 8.326672684688674e-16 relative error = 2.422920118328576e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = -0.3524745635606241 y[1] (numeric) = -0.3524745635606232 absolute error = 8.881784197001252e-16 relative error = 2.519836923061719e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = -0.3612864276496397 y[1] (numeric) = -0.3612864276496388 absolute error = 8.881784197001252e-16 relative error = 2.458377485913872e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = -0.3700982917386553 y[1] (numeric) = -0.3700982917386544 absolute error = 9.436895709313831e-16 relative error = 2.549834981669596e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = -0.378910155827671 y[1] (numeric) = -0.37891015582767 absolute error = 9.992007221626409e-16 relative error = 2.637038640413426e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = -0.3877220199166865 y[1] (numeric) = -0.3877220199166855 absolute error = 9.992007221626409e-16 relative error = 2.577105944040394e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = -0.3965338840057022 y[1] (numeric) = -0.3965338840057011 absolute error = 1.054711873393899e-15 relative error = 2.659827863231814e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = -0.4053457480947177 y[1] (numeric) = -0.4053457480947167 absolute error = 1.054711873393899e-15 relative error = 2.602005518378949e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = -0.4141576121837334 y[1] (numeric) = -0.4141576121837323 absolute error = 1.110223024625157e-15 relative error = 2.680677577725232e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = -0.4229694762727489 y[1] (numeric) = -0.4229694762727478 absolute error = 1.110223024625157e-15 relative error = 2.62483012818929e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = -0.4317813403617646 y[1] (numeric) = -0.4317813403617634 absolute error = 1.165734175856414e-15 relative error = 2.699825274708984e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = -0.4405932044507802 y[1] (numeric) = -0.440593204450779 absolute error = 1.165734175856414e-15 relative error = 2.645828769214804e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = -0.4494050685397958 y[1] (numeric) = -0.4494050685397946 absolute error = 1.221245327087672e-15 relative error = 2.717471191537147e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = -0.4582169326288114 y[1] (numeric) = -0.4582169326288101 absolute error = 1.221245327087672e-15 relative error = 2.665212130161433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = -0.467028796717827 y[1] (numeric) = -0.4670287967178257 absolute error = 1.27675647831893e-15 relative error = 2.733785341057525e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = -0.4758406608068426 y[1] (numeric) = -0.4758406608068413 absolute error = 1.27675647831893e-15 relative error = 2.683159686593497e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = -0.4846525248958582 y[1] (numeric) = -0.4846525248958569 absolute error = 1.332267629550188e-15 relative error = 2.74891300697642e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = -0.4934643889848738 y[1] (numeric) = -0.4934643889848724 absolute error = 1.387778780781446e-15 relative error = 2.812317994488525e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = -0.5022762530738895 y[1] (numeric) = -0.502276253073888 absolute error = 1.443289932012704e-15 relative error = 2.873498245596696e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = -0.511088117162905 y[1] (numeric) = -0.5110881171629036 absolute error = 1.443289932012704e-15 relative error = 2.823955172396753e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = -0.5198999812519206 y[1] (numeric) = -0.5198999812519192 absolute error = 1.443289932012704e-15 relative error = 2.776091525406978e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = -0.5287118453409362 y[1] (numeric) = -0.5287118453409347 absolute error = 1.443289932012704e-15 relative error = 2.729823333316862e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = -0.5375237094299519 y[1] (numeric) = -0.5375237094299503 absolute error = 1.554312234475219e-15 relative error = 2.891616141218365e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = -0.5463355735189674 y[1] (numeric) = -0.5463355735189659 absolute error = 1.554312234475219e-15 relative error = 2.844977171198714e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = -0.555147437607983 y[1] (numeric) = -0.5551474376079815 absolute error = 1.554312234475219e-15 relative error = 2.79981880340191e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = -0.5639593016969986 y[1] (numeric) = -0.563959301696997 absolute error = 1.554312234475219e-15 relative error = 2.756071634598754e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = -0.5727711657860143 y[1] (numeric) = -0.5727711657860126 absolute error = 1.665334536937735e-15 relative error = 2.90750414199429e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = -0.5815830298750299 y[1] (numeric) = -0.5815830298750282 absolute error = 1.665334536937735e-15 relative error = 2.863451048933771e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = -0.5903948939640454 y[1] (numeric) = -0.5903948939640438 absolute error = 1.665334536937735e-15 relative error = 2.820712973576551e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = -0.5992067580530611 y[1] (numeric) = -0.5992067580530593 absolute error = 1.77635683940025e-15 relative error = 2.964514027131433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = -0.6080186221420767 y[1] (numeric) = -0.6080186221420749 absolute error = 1.77635683940025e-15 relative error = 2.921550055723731e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = -0.6168304862310923 y[1] (numeric) = -0.6168304862310905 absolute error = 1.77635683940025e-15 relative error = 2.879813626356249e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = -0.6256423503201078 y[1] (numeric) = -0.6256423503201061 absolute error = 1.77635683940025e-15 relative error = 2.839252871055458e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = -0.6344542144091235 y[1] (numeric) = -0.6344542144091216 absolute error = 1.887379141862766e-15 relative error = 2.974807478614529e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = -0.6432660784981391 y[1] (numeric) = -0.6432660784981372 absolute error = 1.887379141862766e-15 relative error = 2.934056691236247e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = -0.6520779425871547 y[1] (numeric) = -0.6520779425871528 absolute error = 1.887379141862766e-15 relative error = 2.894407276489812e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = -0.6608898066761703 y[1] (numeric) = -0.6608898066761684 absolute error = 1.887379141862766e-15 relative error = 2.855815179469948e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = -0.6697016707651859 y[1] (numeric) = -0.6697016707651839 absolute error = 1.998401444325282e-15 relative error = 2.984017408888877e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = -0.6785135348542015 y[1] (numeric) = -0.6785135348541995 absolute error = 1.998401444325282e-15 relative error = 2.945263936046164e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = -0.6873253989432171 y[1] (numeric) = -0.6873253989432151 absolute error = 1.998401444325282e-15 relative error = 2.90750414199429e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = -0.6961372630322327 y[1] (numeric) = -0.6961372630322307 absolute error = 1.998401444325282e-15 relative error = 2.870700292095629e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = -0.7049491271212484 y[1] (numeric) = -0.7049491271212462 absolute error = 2.109423746787797e-15 relative error = 2.99230634613579e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = -0.7137609912102639 y[1] (numeric) = -0.7137609912102618 absolute error = 2.109423746787797e-15 relative error = 2.955364292479793e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = -0.7225728552992795 y[1] (numeric) = -0.7225728552992774 absolute error = 2.109423746787797e-15 relative error = 2.919323264522723e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = -0.7313847193882952 y[1] (numeric) = -0.731384719388293 absolute error = 2.220446049250313e-15 relative error = 3.035948100074359e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = -0.7401965834773108 y[1] (numeric) = -0.7401965834773085 absolute error = 2.220446049250313e-15 relative error = 2.99980586078776e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = -0.7490084475663263 y[1] (numeric) = -0.7490084475663241 absolute error = 2.220446049250313e-15 relative error = 2.964514027131433e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = -0.7578203116553419 y[1] (numeric) = -0.7578203116553397 absolute error = 2.220446049250313e-15 relative error = 2.930042933792696e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = -0.7666321757443576 y[1] (numeric) = -0.7666321757443553 absolute error = 2.331468351712829e-15 relative error = 3.04118249335035e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = -0.7754440398333732 y[1] (numeric) = -0.7754440398333708 absolute error = 2.331468351712829e-15 relative error = 3.006623601380459e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = -0.7842559039223888 y[1] (numeric) = -0.7842559039223864 absolute error = 2.331468351712829e-15 relative error = 2.972841313724499e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = -0.7930677680114043 y[1] (numeric) = -0.793067768011402 absolute error = 2.331468351712829e-15 relative error = 2.939809743572005e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = -0.80187963210042 y[1] (numeric) = -0.8018796321004176 absolute error = 2.442490654175344e-15 relative error = 3.045956720184495e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = -0.8106914961894356 y[1] (numeric) = -0.8106914961894331 absolute error = 2.442490654175344e-15 relative error = 3.012848494965098e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = -0.8195033602784512 y[1] (numeric) = -0.8195033602784487 absolute error = 2.442490654175344e-15 relative error = 2.980452274589129e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = -0.8283152243674669 y[1] (numeric) = -0.8283152243674643 absolute error = 2.55351295663786e-15 relative error = 3.082779214384017e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = -0.8371270884564824 y[1] (numeric) = -0.8371270884564799 absolute error = 2.55351295663786e-15 relative error = 3.050328906864185e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = -0.845938952545498 y[1] (numeric) = -0.8459389525454954 absolute error = 2.55351295663786e-15 relative error = 3.018554647417684e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = -0.8547508166345136 y[1] (numeric) = -0.854750816634511 absolute error = 2.55351295663786e-15 relative error = 2.987435527341212e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = -0.8635626807235293 y[1] (numeric) = -0.8635626807235266 absolute error = 2.664535259100376e-15 relative error = 3.08551459966741e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = -0.8723745448125448 y[1] (numeric) = -0.8723745448125422 absolute error = 2.664535259100376e-15 relative error = 3.054347785529355e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = -0.8811864089015603 y[1] (numeric) = -0.8811864089015577 absolute error = 2.55351295663786e-15 relative error = 2.897812461520976e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = -0.889998272990575 y[1] (numeric) = -0.8899982729905733 absolute error = 1.665334536937735e-15 relative error = 1.871166031976526e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = -0.8988101370795896 y[1] (numeric) = -0.8988101370795889 absolute error = 6.661338147750939e-16 relative error = 7.4112850678286e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = -0.9076220011686043 y[1] (numeric) = -0.9076220011686045 absolute error = 2.220446049250313e-16 relative error = 2.446443614623035e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = -0.9164338652576188 y[1] (numeric) = -0.9164338652576201 absolute error = 1.221245327087672e-15 relative error = 1.332606065080722e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = -0.9252457293466335 y[1] (numeric) = -0.9252457293466356 absolute error = 2.109423746787797e-15 relative error = 2.27985245419871e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = -0.9340575934356481 y[1] (numeric) = -0.9340575934356512 absolute error = 3.108624468950438e-15 relative error = 3.328086502157008e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = -0.9428694575246627 y[1] (numeric) = -0.9428694575246668 absolute error = 4.107825191113079e-15 relative error = 4.356727390340386e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = -0.9516813216136774 y[1] (numeric) = -0.9516813216136824 absolute error = 4.996003610813204e-15 relative error = 5.249660256378623e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = -0.9604931857026919 y[1] (numeric) = -0.9604931857026979 absolute error = 5.995204332975845e-15 relative error = 6.241797882813489e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = -0.9693050497917066 y[1] (numeric) = -0.9693050497917135 absolute error = 6.883382752675971e-15 relative error = 7.101358601355823e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = -0.9781169138807212 y[1] (numeric) = -0.9781169138807291 absolute error = 7.882583474838611e-15 relative error = 8.058937907089369e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = -0.9869287779697359 y[1] (numeric) = -0.9869287779697447 absolute error = 8.770761894538737e-15 relative error = 8.886924862583845e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = -0.9957406420587505 y[1] (numeric) = -0.9957406420587602 absolute error = 9.769962616701378e-15 relative error = 9.811754390682923e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = -1.004552506147765 y[1] (numeric) = -1.004552506147776 absolute error = 1.06581410364015e-14 relative error = 1.060983967604948e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = -1.01336437023678 y[1] (numeric) = -1.013364370236791 absolute error = 1.154631945610163e-14 relative error = 1.139404521732272e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = -1.022176234325794 y[1] (numeric) = -1.022176234325807 absolute error = 1.265654248072678e-14 relative error = 1.238195729435519e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = -1.030988098414809 y[1] (numeric) = -1.030988098414823 absolute error = 1.354472090042691e-14 relative error = 1.313761130827071e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = -1.039799962503824 y[1] (numeric) = -1.039799962503838 absolute error = 1.443289932012704e-14 relative error = 1.388045762703512e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = -1.048611826592838 y[1] (numeric) = -1.048611826592854 absolute error = 1.532107773982716e-14 relative error = 1.461081913371946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = -1.057423690681853 y[1] (numeric) = -1.057423690681869 absolute error = 1.643130076445232e-14 relative error = 1.553899435888088e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = -1.066235554770868 y[1] (numeric) = -1.066235554770885 absolute error = 1.731947918415244e-14 relative error = 1.624357685940643e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = -1.075047418859882 y[1] (numeric) = -1.0750474188599 absolute error = 1.820765760385257e-14 relative error = 1.693660882713648e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = -1.083859282948897 y[1] (numeric) = -1.083859282948916 absolute error = 1.931788062847772e-14 relative error = 1.782323677287594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = -1.092671147037911 y[1] (numeric) = -1.092671147037932 absolute error = 2.020605904817785e-14 relative error = 1.849235161279204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = -1.101483011126926 y[1] (numeric) = -1.101483011126947 absolute error = 2.109423746787797e-14 relative error = 1.915076061526949e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = -1.110294875215941 y[1] (numeric) = -1.110294875215963 absolute error = 2.19824158875781e-14 relative error = 1.979871868119967e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = -1.119106739304955 y[1] (numeric) = -1.119106739304978 absolute error = 2.309263891220326e-14 relative error = 2.063488503924606e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = -1.12791860339397 y[1] (numeric) = -1.127918603393994 absolute error = 2.398081733190338e-14 relative error = 2.126112403833377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = -1.136730467482985 y[1] (numeric) = -1.136730467483009 absolute error = 2.486899575160351e-14 relative error = 2.187765390565267e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = -1.145542331571999 y[1] (numeric) = -1.145542331572025 absolute error = 2.575717417130363e-14 relative error = 2.248469869808975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = -1.154354195661014 y[1] (numeric) = -1.154354195661041 absolute error = 2.686739719592879e-14 relative error = 2.327482959469282e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = -1.163166059750028 y[1] (numeric) = -1.163166059750056 absolute error = 2.775557561562891e-14 relative error = 2.386209207444873e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = -1.171977923839043 y[1] (numeric) = -1.171977923839072 absolute error = 2.864375403532904e-14 relative error = 2.444052353947148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = -1.180789787928058 y[1] (numeric) = -1.180789787928087 absolute error = 2.97539770599542e-14 relative error = 2.51983692306179e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = -1.189601652017072 y[1] (numeric) = -1.189601652017103 absolute error = 3.064215547965432e-14 relative error = 2.575833299129831e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = -1.198413516106087 y[1] (numeric) = -1.198413516106118 absolute error = 3.153033389935445e-14 relative error = 2.631006199079224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = -1.207225380195102 y[1] (numeric) = -1.207225380195134 absolute error = 3.241851231905457e-14 relative error = 2.685373655233737e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = -1.216037244284116 y[1] (numeric) = -1.21603724428415 absolute error = 3.352873534367973e-14 relative error = 2.757212865089356e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = -1.224849108373131 y[1] (numeric) = -1.224849108373165 absolute error = 3.441691376337985e-14 relative error = 2.809890094061716e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = -1.233660972462145 y[1] (numeric) = -1.233660972462181 absolute error = 3.530509218307998e-14 relative error = 2.861814791191614e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = -1.24247283655116 y[1] (numeric) = -1.242472836551196 absolute error = 3.61932706027801e-14 relative error = 2.913002967794846e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = -1.251284700640175 y[1] (numeric) = -1.251284700640212 absolute error = 3.730349362740526e-14 relative error = 2.981215514608328e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = -1.260096564729189 y[1] (numeric) = -1.260096564729227 absolute error = 3.819167204710538e-14 relative error = 3.030852802563846e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = -1.268908428818204 y[1] (numeric) = -1.268908428818243 absolute error = 3.907985046680551e-14 relative error = 3.079800683742204e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = -1.277720292907218 y[1] (numeric) = -1.277720292907259 absolute error = 4.019007349143067e-14 relative error = 3.145451607408185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = -1.286532156996233 y[1] (numeric) = -1.286532156996274 absolute error = 4.107825191113079e-14 relative error = 3.19294404634544e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = -1.295344021085248 y[1] (numeric) = -1.29534402108529 absolute error = 4.196643033083092e-14 relative error = 3.239790329650896e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = -1.304155885174263 y[1] (numeric) = -1.304155885174305 absolute error = 4.285460875053104e-14 relative error = 3.286003555073845e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = -1.312967749263277 y[1] (numeric) = -1.312967749263321 absolute error = 4.39648317751562e-14 relative error = 3.348508125947909e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = -1.321779613352292 y[1] (numeric) = -1.321779613352337 absolute error = 4.485301019485632e-14 relative error = 3.39338038972324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = -1.330591477441306 y[1] (numeric) = -1.330591477441352 absolute error = 4.574118861455645e-14 relative error = 3.437658318879029e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = -1.339403341530321 y[1] (numeric) = -1.339403341530368 absolute error = 4.662936703425657e-14 relative error = 3.481353643703822e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = -1.348215205619335 y[1] (numeric) = -1.348215205619383 absolute error = 4.773959005888173e-14 relative error = 3.540947310184904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = -1.35702706970835 y[1] (numeric) = -1.357027069708399 absolute error = 4.862776847858186e-14 relative error = 3.583404455522973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = -1.365838933797365 y[1] (numeric) = -1.365838933797414 absolute error = 4.951594689828198e-14 relative error = 3.625313766727647e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = -1.374650797886379 y[1] (numeric) = -1.37465079788643 absolute error = 5.062616992290714e-14 relative error = 3.682838579859581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = -1.383462661975394 y[1] (numeric) = -1.383462661975446 absolute error = 5.151434834260726e-14 relative error = 3.72358067611683e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = -1.392274526064409 y[1] (numeric) = -1.392274526064461 absolute error = 5.240252676230739e-14 relative error = 3.763807049636644e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = -1.401086390153423 y[1] (numeric) = -1.401086390153477 absolute error = 5.329070518200751e-14 relative error = 3.803527431036712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = -1.409898254242438 y[1] (numeric) = -1.409898254242492 absolute error = 5.440092820663267e-14 relative error = 3.858500288438417e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = -1.418710118331453 y[1] (numeric) = -1.418710118331508 absolute error = 5.52891066263328e-14 relative error = 3.897139092188784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = -1.427521982420467 y[1] (numeric) = -1.427521982420523 absolute error = 5.617728504603292e-14 relative error = 3.935300873670628e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = -1.436333846509482 y[1] (numeric) = -1.436333846509539 absolute error = 5.706546346573305e-14 relative error = 3.972994412434904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = -1.445145710598496 y[1] (numeric) = -1.445145710598555 absolute error = 5.81756864903582e-14 relative error = 4.025593133184139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = -1.453957574687511 y[1] (numeric) = -1.45395757468757 absolute error = 5.906386491005833e-14 relative error = 4.062282554754221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = -1.462769438776526 y[1] (numeric) = -1.462769438776586 absolute error = 5.995204332975845e-14 relative error = 4.098529935100566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = -1.47158130286554 y[1] (numeric) = -1.471581302865601 absolute error = 6.084022174945858e-14 relative error = 4.134343215083482e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = -1.480393166954555 y[1] (numeric) = -1.480393166954617 absolute error = 6.195044477408373e-14 relative error = 4.184729175799113e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = -1.48920503104357 y[1] (numeric) = -1.489205031043632 absolute error = 6.283862319378386e-14 relative error = 4.219608575304725e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y[1] (closed_form) = -1.498016895132584 y[1] (numeric) = -1.498016895132648 absolute error = 6.372680161348399e-14 relative error = 4.254077628933801e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = -1.506828759221599 y[1] (numeric) = -1.506828759221664 absolute error = 6.483702463810914e-14 relative error = 4.302879424175764e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = -1.515640623310613 y[1] (numeric) = -1.515640623310679 absolute error = 6.572520305780927e-14 relative error = 4.336463542013391e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = -1.524452487399628 y[1] (numeric) = -1.524452487399695 absolute error = 6.661338147750939e-14 relative error = 4.369659404153473e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = -1.533264351488643 y[1] (numeric) = -1.53326435148871 absolute error = 6.750155989720952e-14 relative error = 4.402473704659762e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y[1] (closed_form) = -1.542076215577657 y[1] (numeric) = -1.542076215577726 absolute error = 6.861178292183467e-14 relative error = 4.449312052720617e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y[1] (closed_form) = -1.550888079666672 y[1] (numeric) = -1.550888079666741 absolute error = 6.94999613415348e-14 relative error = 4.481300891581566e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y[1] (closed_form) = -1.559699943755687 y[1] (numeric) = -1.559699943755757 absolute error = 7.038813976123492e-14 relative error = 4.512928274636177e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y[1] (closed_form) = -1.568511807844701 y[1] (numeric) = -1.568511807844773 absolute error = 7.127631818093505e-14 relative error = 4.54420029383624e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y[1] (closed_form) = -1.577323671933716 y[1] (numeric) = -1.577323671933788 absolute error = 7.238654120556021e-14 relative error = 4.589200206246706e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y[1] (closed_form) = -1.58613553602273 y[1] (numeric) = -1.586135536022804 absolute error = 7.327471962526033e-14 relative error = 4.619701025613378e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = -1.594947400111745 y[1] (numeric) = -1.594947400111819 absolute error = 7.416289804496046e-14 relative error = 4.649864819351689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = -1.60375926420076 y[1] (numeric) = -1.603759264200835 absolute error = 7.527312106958561e-14 relative error = 4.693542400648161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = -1.612571128289774 y[1] (numeric) = -1.61257112828985 absolute error = 7.616129948928574e-14 relative error = 4.722973030656901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y[1] (closed_form) = -1.621382992378789 y[1] (numeric) = -1.621382992378866 absolute error = 7.704947790898586e-14 relative error = 4.752083762513372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y[1] (closed_form) = -1.630194856467804 y[1] (numeric) = -1.630194856467882 absolute error = 7.793765632868599e-14 relative error = 4.780879783755179e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y[1] (closed_form) = -1.639006720556818 y[1] (numeric) = -1.639006720556897 absolute error = 7.904787935331115e-14 relative error = 4.82291368069902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = -1.647818584645833 y[1] (numeric) = -1.647818584645913 absolute error = 7.993605777301127e-14 relative error = 4.851022953488051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = -1.656630448734848 y[1] (numeric) = -1.656630448734928 absolute error = 8.08242361927114e-14 relative error = 4.878833191460176e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = -1.665442312823862 y[1] (numeric) = -1.665442312823944 absolute error = 8.171241461241152e-14 relative error = 4.906349141199793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = -1.674254176912877 y[1] (numeric) = -1.67425417691296 absolute error = 8.282263763703668e-14 relative error = 4.946837748958265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = -1.683066041001891 y[1] (numeric) = -1.683066041001975 absolute error = 8.37108160567368e-14 relative error = 4.973709528766063e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = -1.691877905090906 y[1] (numeric) = -1.691877905090991 absolute error = 8.459899447643693e-14 relative error = 5.000301394200863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = -1.700689769179921 y[1] (numeric) = -1.700689769180006 absolute error = 8.570921750106208e-14 relative error = 5.039673846123707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = -1.709501633268935 y[1] (numeric) = -1.709501633269022 absolute error = 8.659739592076221e-14 relative error = 5.065651546361459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = -1.71831349735795 y[1] (numeric) = -1.718313497358037 absolute error = 8.748557434046234e-14 relative error = 5.091362808648055e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = -1.727125361446965 y[1] (numeric) = -1.727125361447053 absolute error = 8.837375276016246e-14 relative error = 5.1168117111154e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = -1.735937225535979 y[1] (numeric) = -1.735937225536069 absolute error = 8.948397578478762e-14 relative error = 5.154793299461564e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = -1.744749089624994 y[1] (numeric) = -1.744749089625084 absolute error = 9.037215420448774e-14 relative error = 5.179664786293816e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = -1.753560953714008 y[1] (numeric) = -1.7535609537141 absolute error = 9.126033262418787e-14 relative error = 5.204286308434288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = -1.762372817803023 y[1] (numeric) = -1.762372817803115 absolute error = 9.214851104388799e-14 relative error = 5.228661615353355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = -1.771184681892038 y[1] (numeric) = -1.771184681892131 absolute error = 9.303668946358812e-14 relative error = 5.252794381905068e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = -1.779996545981053 y[1] (numeric) = -1.779996545981146 absolute error = 9.392486788328824e-14 relative error = 5.276688210174091e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = -1.788808410070067 y[1] (numeric) = -1.788808410070162 absolute error = 9.481304630298837e-14 relative error = 5.30034663126805e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = -1.797620274159082 y[1] (numeric) = -1.797620274159178 absolute error = 9.592326932761353e-14 relative error = 5.336125248836882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = -1.806432138248096 y[1] (numeric) = -1.806432138248193 absolute error = 9.681144774731365e-14 relative error = 5.359262919292544e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = -1.815244002337111 y[1] (numeric) = -1.815244002337209 absolute error = 9.769962616701378e-14 relative error = 5.382175952170967e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = -1.824055866426126 y[1] (numeric) = -1.824055866426224 absolute error = 9.85878045867139e-14 relative error = 5.404867603089212e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = -1.83286773051514 y[1] (numeric) = -1.83286773051524 absolute error = 9.969802761133906e-14 relative error = 5.439455665647964e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = -1.841679594604155 y[1] (numeric) = -1.841679594604255 absolute error = 1.005862060310392e-13 relative error = 5.461656105966624e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = -1.85049145869317 y[1] (numeric) = -1.850491458693271 absolute error = 1.014743844507393e-13 relative error = 5.483645113520343e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = -1.859303322782184 y[1] (numeric) = -1.859303322782287 absolute error = 1.025846074753645e-13 relative error = 5.517368049547781e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = -1.868115186871199 y[1] (numeric) = -1.868115186871302 absolute error = 1.034727858950646e-13 relative error = 5.538886821447308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = -1.876927050960213 y[1] (numeric) = -1.876927050960318 absolute error = 1.043609643147647e-13 relative error = 5.560203539150597e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = -1.885738915049228 y[1] (numeric) = -1.885738915049333 absolute error = 1.052491427344648e-13 relative error = 5.581321035193107e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y[1] (closed_form) = -1.894550779138243 y[1] (numeric) = -1.894550779138349 absolute error = 1.0635936575909e-13 relative error = 5.613962261147138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y[1] (closed_form) = -1.903362643227257 y[1] (numeric) = -1.903362643227364 absolute error = 1.072475441787901e-13 relative error = 5.634635341846677e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y[1] (closed_form) = -1.912174507316272 y[1] (numeric) = -1.91217450731638 absolute error = 1.081357225984902e-13 relative error = 5.655117887240231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y[1] (closed_form) = -1.920986371405287 y[1] (numeric) = -1.920986371405396 absolute error = 1.090239010181904e-13 relative error = 5.675412519373293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y[1] (closed_form) = -1.929798235494301 y[1] (numeric) = -1.929798235494411 absolute error = 1.101341240428155e-13 relative error = 5.707027917071633e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y[1] (closed_form) = -1.938610099583316 y[1] (numeric) = -1.938610099583427 absolute error = 1.110223024625157e-13 relative error = 5.726902097867887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y[1] (closed_form) = -1.94742196367233 y[1] (numeric) = -1.947421963672442 absolute error = 1.119104808822158e-13 relative error = 5.746596421824358e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y[1] (closed_form) = -1.956233827761345 y[1] (numeric) = -1.956233827761458 absolute error = 1.127986593019159e-13 relative error = 5.766113319438877e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = -1.96504569185036 y[1] (numeric) = -1.965045691850474 absolute error = 1.139088823265411e-13 relative error = 5.796754894756684e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y[1] (closed_form) = -1.973857555939374 y[1] (numeric) = -1.973857555939489 absolute error = 1.147970607462412e-13 relative error = 5.815873612602626e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y[1] (closed_form) = -1.982669420028389 y[1] (numeric) = -1.982669420028505 absolute error = 1.156852391659413e-13 relative error = 5.834822386289938e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y[1] (closed_form) = -1.991481284117403 y[1] (numeric) = -1.99148128411752 absolute error = 1.167954621905665e-13 relative error = 5.864753192613034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y[1] (closed_form) = -2.000293148206418 y[1] (numeric) = -2.000293148206536 absolute error = 1.176836406102666e-13 relative error = 5.883319688206138e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y[1] (closed_form) = -2.009105012295433 y[1] (numeric) = -2.009105012295554 absolute error = 1.212363542890671e-13 relative error = 6.034346315753438e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y[1] (closed_form) = -2.017916876384447 y[1] (numeric) = -2.017916876384572 absolute error = 1.243449787580175e-13 relative error = 6.162046624081443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y[1] (closed_form) = -2.026728740473462 y[1] (numeric) = -2.026728740473589 absolute error = 1.27453603226968e-13 relative error = 6.288636494945726e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y[1] (closed_form) = -2.035540604562477 y[1] (numeric) = -2.035540604562607 absolute error = 1.305622276959184e-13 relative error = 6.414130349612049e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y[1] (closed_form) = -2.044352468651491 y[1] (numeric) = -2.044352468651625 absolute error = 1.336708521648688e-13 relative error = 6.538542360703663e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = -2.053164332740506 y[1] (numeric) = -2.053164332740643 absolute error = 1.367794766338193e-13 relative error = 6.661886457536981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y[1] (closed_form) = -2.061976196829521 y[1] (numeric) = -2.061976196829661 absolute error = 1.398881011027697e-13 relative error = 6.78417633132044e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y[1] (closed_form) = -2.070788060918535 y[1] (numeric) = -2.070788060918678 absolute error = 1.434408147815702e-13 relative error = 6.926870860842442e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y[1] (closed_form) = -2.07959992500755 y[1] (numeric) = -2.079599925007696 absolute error = 1.465494392505207e-13 relative error = 7.047001564495086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y[1] (closed_form) = -2.088411789096564 y[1] (numeric) = -2.088411789096714 absolute error = 1.496580637194711e-13 relative error = 7.166118506935472e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y[1] (closed_form) = -2.097223653185579 y[1] (numeric) = -2.097223653185732 absolute error = 1.527666881884215e-13 relative error = 7.284234466666275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y[1] (closed_form) = -2.106035517274594 y[1] (numeric) = -2.10603551727475 absolute error = 1.55875312657372e-13 relative error = 7.401362008324018e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y[1] (closed_form) = -2.114847381363608 y[1] (numeric) = -2.114847381363767 absolute error = 1.589839371263224e-13 relative error = 7.517513487134612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y[1] (closed_form) = -2.123659245452623 y[1] (numeric) = -2.123659245452785 absolute error = 1.620925615952729e-13 relative error = 7.632701053257981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = -2.132471109541638 y[1] (numeric) = -2.132471109541803 absolute error = 1.652011860642233e-13 relative error = 7.746936656024959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = -2.141282973630652 y[1] (numeric) = -2.141282973630821 absolute error = 1.687538997430238e-13 relative error = 7.880971446613296e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y[1] (closed_form) = -2.150094837719667 y[1] (numeric) = -2.150094837719839 absolute error = 1.718625242119742e-13 relative error = 7.993253190368432e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y[1] (closed_form) = -2.158906701808681 y[1] (numeric) = -2.158906701808856 absolute error = 1.749711486809247e-13 relative error = 8.104618348460262e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y[1] (closed_form) = -2.167718565897696 y[1] (numeric) = -2.167718565897874 absolute error = 1.780797731498751e-13 relative error = 8.215078098762728e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y[1] (closed_form) = -2.176530429986711 y[1] (numeric) = -2.176530429986892 absolute error = 1.811883976188255e-13 relative error = 8.324643438131569e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y[1] (closed_form) = -2.185342294075725 y[1] (numeric) = -2.18534229407591 absolute error = 1.84297022087776e-13 relative error = 8.433325186053889e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y[1] (closed_form) = -2.19415415816474 y[1] (numeric) = -2.194154158164928 absolute error = 1.874056465567264e-13 relative error = 8.541133988209762e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y[1] (closed_form) = -2.202966022253754 y[1] (numeric) = -2.202966022253945 absolute error = 1.909583602355269e-13 relative error = 8.668239015332888e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y[1] (closed_form) = -2.211777886342769 y[1] (numeric) = -2.211777886342963 absolute error = 1.940669847044774e-13 relative error = 8.774252871538202e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = -2.220589750431784 y[1] (numeric) = -2.220589750431981 absolute error = 1.971756091734278e-13 relative error = 8.879425347932362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y[1] (closed_form) = -2.229401614520798 y[1] (numeric) = -2.229401614520999 absolute error = 2.002842336423782e-13 relative error = 8.983766421351075e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y[1] (closed_form) = -2.238213478609813 y[1] (numeric) = -2.238213478610017 absolute error = 2.033928581113287e-13 relative error = 9.087285911514524e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y[1] (closed_form) = -2.247025342698828 y[1] (numeric) = -2.247025342699034 absolute error = 2.065014825802791e-13 relative error = 9.189993484108061e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y[1] (closed_form) = -2.255837206787842 y[1] (numeric) = -2.255837206788052 absolute error = 2.096101070492296e-13 relative error = 9.291898653790714e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y[1] (closed_form) = -2.264649070876857 y[1] (numeric) = -2.26464907087707 absolute error = 2.1271873151818e-13 relative error = 9.393010787133421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y[1] (closed_form) = -2.273460934965871 y[1] (numeric) = -2.273460934966088 absolute error = 2.162714451969805e-13 relative error = 9.512872725047598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y[1] (closed_form) = -2.282272799054886 y[1] (numeric) = -2.282272799055105 absolute error = 2.193800696659309e-13 relative error = 9.612350887973542e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y[1] (closed_form) = -2.291084663143901 y[1] (numeric) = -2.291084663144123 absolute error = 2.224886941348814e-13 relative error = 9.711063834261591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y[1] (closed_form) = -2.299896527232915 y[1] (numeric) = -2.299896527233141 absolute error = 2.255973186038318e-13 relative error = 9.80902035950529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = -2.30870839132193 y[1] (numeric) = -2.308708391322159 absolute error = 2.287059430727822e-13 relative error = 9.906229125014304e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y[1] (closed_form) = -2.317520255410945 y[1] (numeric) = -2.317520255411177 absolute error = 2.318145675417327e-13 relative error = 1.000269866036735e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y[1] (closed_form) = -2.32633211949996 y[1] (numeric) = -2.326332119500194 absolute error = 2.349231920106831e-13 relative error = 1.009843736590713e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y[1] (closed_form) = -2.335143983588974 y[1] (numeric) = -2.335143983589212 absolute error = 2.384759056894836e-13 relative error = 1.021247115233386e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y[1] (closed_form) = -2.343955847677988 y[1] (numeric) = -2.34395584767823 absolute error = 2.415845301584341e-13 relative error = 1.03067013995915e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y[1] (closed_form) = -2.352767711767003 y[1] (numeric) = -2.352767711767248 absolute error = 2.446931546273845e-13 relative error = 1.04002258023004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y[1] (closed_form) = -2.361579575856018 y[1] (numeric) = -2.361579575856266 absolute error = 2.478017790963349e-13 relative error = 1.04930522617055e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y[1] (closed_form) = -2.370391439945033 y[1] (numeric) = -2.370391439945283 absolute error = 2.509104035652854e-13 relative error = 1.058518856156111e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y[1] (closed_form) = -2.379203304034047 y[1] (numeric) = -2.379203304034301 absolute error = 2.540190280342358e-13 relative error = 1.067664237030669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y[1] (closed_form) = -2.388015168123062 y[1] (numeric) = -2.388015168123319 absolute error = 2.571276525031863e-13 relative error = 1.076742124319437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = -2.396827032212076 y[1] (numeric) = -2.396827032212337 absolute error = 2.606803661819868e-13 relative error = 1.087606083703921e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y[1] (closed_form) = -2.405638896301091 y[1] (numeric) = -2.405638896301355 absolute error = 2.637889906509372e-13 relative error = 1.096544419266495e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y[1] (closed_form) = -2.414450760390106 y[1] (numeric) = -2.414450760390372 absolute error = 2.668976151198876e-13 relative error = 1.105417511503795e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y[1] (closed_form) = -2.42326262447912 y[1] (numeric) = -2.42326262447939 absolute error = 2.700062395888381e-13 relative error = 1.114226072161187e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y[1] (closed_form) = -2.432074488568135 y[1] (numeric) = -2.432074488568408 absolute error = 2.731148640577885e-13 relative error = 1.122970802668889e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y[1] (closed_form) = -2.44088635265715 y[1] (numeric) = -2.440886352657426 absolute error = 2.762234885267389e-13 relative error = 1.131652394328159e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y[1] (closed_form) = -2.449698216746164 y[1] (numeric) = -2.449698216746444 absolute error = 2.793321129956894e-13 relative error = 1.140271528493477e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y[1] (closed_form) = -2.458510080835179 y[1] (numeric) = -2.458510080835461 absolute error = 2.824407374646398e-13 relative error = 1.1488288767508e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y[1] (closed_form) = -2.467321944924193 y[1] (numeric) = -2.467321944924479 absolute error = 2.859934511434403e-13 relative error = 1.159124984608473e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y[1] (closed_form) = -2.476133809013208 y[1] (numeric) = -2.476133809013497 absolute error = 2.891020756123908e-13 relative error = 1.16755433232263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = -2.484945673102223 y[1] (numeric) = -2.484945673102515 absolute error = 2.922107000813412e-13 relative error = 1.175923897428886e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y[1] (closed_form) = -2.493757537191237 y[1] (numeric) = -2.493757537191533 absolute error = 2.953193245502916e-13 relative error = 1.184234313665133e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y[1] (closed_form) = -2.502569401280252 y[1] (numeric) = -2.50256940128055 absolute error = 2.984279490192421e-13 relative error = 1.192486205843378e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y[1] (closed_form) = -2.511381265369267 y[1] (numeric) = -2.511381265369568 absolute error = 3.015365734881925e-13 relative error = 1.200680190006337e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y[1] (closed_form) = -2.520193129458281 y[1] (numeric) = -2.520193129458586 absolute error = 3.04645197957143e-13 relative error = 1.208816873580744e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y[1] (closed_form) = -2.529004993547296 y[1] (numeric) = -2.529004993547604 absolute error = 3.081979116359435e-13 relative error = 1.218652839445964e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y[1] (closed_form) = -2.53781685763631 y[1] (numeric) = -2.537816857636622 absolute error = 3.113065361048939e-13 relative error = 1.22667061324055e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y[1] (closed_form) = -2.546628721725325 y[1] (numeric) = -2.546628721725639 absolute error = 3.144151605738443e-13 relative error = 1.234632900711298e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y[1] (closed_form) = -2.55544058581434 y[1] (numeric) = -2.555440585814657 absolute error = 3.175237850427948e-13 relative error = 1.242540275854662e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y[1] (closed_form) = -2.564252449903354 y[1] (numeric) = -2.564252449903675 absolute error = 3.206324095117452e-13 relative error = 1.250393304777109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = -2.573064313992369 y[1] (numeric) = -2.573064313992693 absolute error = 3.237410339806956e-13 relative error = 1.258192545830224e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y[1] (closed_form) = -2.581876178081384 y[1] (numeric) = -2.581876178081711 absolute error = 3.268496584496461e-13 relative error = 1.265938549743044e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y[1] (closed_form) = -2.590688042170398 y[1] (numeric) = -2.590688042170728 absolute error = 3.299582829185965e-13 relative error = 1.273631859751696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y[1] (closed_form) = -2.599499906259413 y[1] (numeric) = -2.599499906259746 absolute error = 3.33510996597397e-13 relative error = 1.282981375742027e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y[1] (closed_form) = -2.608311770348427 y[1] (numeric) = -2.608311770348764 absolute error = 3.366196210663475e-13 relative error = 1.290565126811434e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y[1] (closed_form) = -2.617123634437442 y[1] (numeric) = -2.617123634437782 absolute error = 3.397282455352979e-13 relative error = 1.298097808850072e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y[1] (closed_form) = -2.625935498526457 y[1] (numeric) = -2.6259354985268 absolute error = 3.428368700042483e-13 relative error = 1.305579935975698e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y[1] (closed_form) = -2.634747362615471 y[1] (numeric) = -2.634747362615817 absolute error = 3.459454944731988e-13 relative error = 1.313012015428243e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y[1] (closed_form) = -2.643559226704486 y[1] (numeric) = -2.643559226704835 absolute error = 3.490541189421492e-13 relative error = 1.320394547684438e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y[1] (closed_form) = -2.652371090793501 y[1] (numeric) = -2.652371090793853 absolute error = 3.521627434110997e-13 relative error = 1.32772802657016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = -2.661182954882515 y[1] (numeric) = -2.661182954882871 absolute error = 3.557154570899002e-13 relative error = 1.336681705544759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y[1] (closed_form) = -2.66999481897153 y[1] (numeric) = -2.669994818971889 absolute error = 3.588240815588506e-13 relative error = 1.343913025633016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y[1] (closed_form) = -2.678806683060544 y[1] (numeric) = -2.678806683060906 absolute error = 3.61932706027801e-13 relative error = 1.351096771247009e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y[1] (closed_form) = -2.687618547149559 y[1] (numeric) = -2.687618547149924 absolute error = 3.650413304967515e-13 relative error = 1.358233410332385e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y[1] (closed_form) = -2.696430411238574 y[1] (numeric) = -2.696430411238942 absolute error = 3.681499549657019e-13 relative error = 1.365323404717856e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y[1] (closed_form) = -2.705242275327588 y[1] (numeric) = -2.70524227532796 absolute error = 3.712585794346523e-13 relative error = 1.372367210214823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y[1] (closed_form) = -2.714054139416603 y[1] (numeric) = -2.714054139416977 absolute error = 3.743672039036028e-13 relative error = 1.379365276715057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y[1] (closed_form) = -2.722866003505617 y[1] (numeric) = -2.722866003505995 absolute error = 3.779199175824033e-13 relative error = 1.387949010696235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y[1] (closed_form) = -2.731677867594632 y[1] (numeric) = -2.731677867595013 absolute error = 3.810285420513537e-13 relative error = 1.394851664507817e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y[1] (closed_form) = -2.740489731683647 y[1] (numeric) = -2.740489731684031 absolute error = 3.841371665203042e-13 relative error = 1.401709928262733e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = -2.749301595772661 y[1] (numeric) = -2.749301595773049 absolute error = 3.872457909892546e-13 relative error = 1.408524228788451e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y[1] (closed_form) = -2.758113459861676 y[1] (numeric) = -2.758113459862066 absolute error = 3.90354415458205e-13 relative error = 1.415294987457775e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y[1] (closed_form) = -2.766925323950691 y[1] (numeric) = -2.766925323951084 absolute error = 3.934630399271555e-13 relative error = 1.422022620275701e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y[1] (closed_form) = -2.775737188039705 y[1] (numeric) = -2.775737188040102 absolute error = 3.965716643961059e-13 relative error = 1.428707537964625e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y[1] (closed_form) = -2.78454905212872 y[1] (numeric) = -2.78454905212912 absolute error = 3.996802888650564e-13 relative error = 1.435350146047923e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y[1] (closed_form) = -2.793360916217734 y[1] (numeric) = -2.793360916218138 absolute error = 4.032330025438569e-13 relative error = 1.443540647407075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y[1] (closed_form) = -2.802172780306749 y[1] (numeric) = -2.802172780307155 absolute error = 4.063416270128073e-13 relative error = 1.450094833082797e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y[1] (closed_form) = -2.810984644395764 y[1] (numeric) = -2.810984644396173 absolute error = 4.094502514817577e-13 relative error = 1.456607926685317e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y[1] (closed_form) = -2.819796508484778 y[1] (numeric) = -2.819796508485191 absolute error = 4.125588759507082e-13 relative error = 1.463080313452822e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = -2.828608372573793 y[1] (numeric) = -2.828608372574209 absolute error = 4.156675004196586e-13 relative error = 1.469512373823021e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = -2.837420236662808 y[1] (numeric) = -2.837420236663227 absolute error = 4.18776124888609e-13 relative error = 1.47590448350769e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y[1] (closed_form) = -2.846232100751823 y[1] (numeric) = -2.846232100752244 absolute error = 4.218847493575595e-13 relative error = 1.48225701356583e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y[1] (closed_form) = -2.855043964840837 y[1] (numeric) = -2.855043964841262 absolute error = 4.2543746303636e-13 relative error = 1.490125785366242e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y[1] (closed_form) = -2.863855828929851 y[1] (numeric) = -2.86385582893028 absolute error = 4.285460875053104e-13 relative error = 1.496395465079843e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y[1] (closed_form) = -2.872667693018866 y[1] (numeric) = -2.872667693019298 absolute error = 4.316547119742609e-13 relative error = 1.502626680500723e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y[1] (closed_form) = -2.881479557107881 y[1] (numeric) = -2.881479557108316 absolute error = 4.347633364432113e-13 relative error = 1.508819784512301e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y[1] (closed_form) = -2.890291421196896 y[1] (numeric) = -2.890291421197333 absolute error = 4.378719609121617e-13 relative error = 1.51497512569454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y[1] (closed_form) = -2.89910328528591 y[1] (numeric) = -2.899103285286351 absolute error = 4.409805853811122e-13 relative error = 1.521093048389349e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y[1] (closed_form) = -2.907915149374925 y[1] (numeric) = -2.907915149375369 absolute error = 4.440892098500626e-13 relative error = 1.527173892764795e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = -2.916727013463939 y[1] (numeric) = -2.916727013464387 absolute error = 4.476419235288631e-13 relative error = 1.534740554952513e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y[1] (closed_form) = -2.925538877552954 y[1] (numeric) = -2.925538877553405 absolute error = 4.507505479978136e-13 relative error = 1.540743660787857e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y[1] (closed_form) = -2.934350741641969 y[1] (numeric) = -2.934350741642422 absolute error = 4.53859172466764e-13 relative error = 1.546710711933499e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y[1] (closed_form) = -2.943162605730983 y[1] (numeric) = -2.94316260573144 absolute error = 4.569677969357144e-13 relative error = 1.552642032233958e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y[1] (closed_form) = -2.951974469819998 y[1] (numeric) = -2.951974469820458 absolute error = 4.600764214046649e-13 relative error = 1.558537941666951e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y[1] (closed_form) = -2.960786333909013 y[1] (numeric) = -2.960786333909476 absolute error = 4.631850458736153e-13 relative error = 1.564398756400939e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y[1] (closed_form) = -2.969598197998027 y[1] (numeric) = -2.969598197998494 absolute error = 4.662936703425657e-13 relative error = 1.570224788851638e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y[1] (closed_form) = -2.978410062087042 y[1] (numeric) = -2.978410062087511 absolute error = 4.694022948115162e-13 relative error = 1.576016347737541e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y[1] (closed_form) = -2.987221926176056 y[1] (numeric) = -2.987221926176529 absolute error = 4.729550084903167e-13 relative error = 1.583260367587575e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y[1] (closed_form) = -2.996033790265071 y[1] (numeric) = -2.996033790265547 absolute error = 4.760636329592671e-13 relative error = 1.588979518542572e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = -3.004845654354086 y[1] (numeric) = -3.004845654354565 absolute error = 4.791722574282176e-13 relative error = 1.594665126090209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y[1] (closed_form) = -3.0136575184431 y[1] (numeric) = -3.013657518443583 absolute error = 4.82280881897168e-13 relative error = 1.600317484470901e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y[1] (closed_form) = -3.022469382532115 y[1] (numeric) = -3.0224693825326 absolute error = 4.853895063661184e-13 relative error = 1.605936884493688e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y[1] (closed_form) = -3.03128124662113 y[1] (numeric) = -3.031281246621618 absolute error = 4.884981308350689e-13 relative error = 1.611523613586109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y[1] (closed_form) = -3.040093110710144 y[1] (numeric) = -3.040093110710636 absolute error = 4.916067553040193e-13 relative error = 1.617077955843212e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y[1] (closed_form) = -3.048904974799159 y[1] (numeric) = -3.048904974799654 absolute error = 4.951594689828198e-13 relative error = 1.624056745210426e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y[1] (closed_form) = -3.057716838888173 y[1] (numeric) = -3.057716838888672 absolute error = 4.982680934517703e-13 relative error = 1.629542955432548e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y[1] (closed_form) = -3.066528702977188 y[1] (numeric) = -3.066528702977689 absolute error = 5.013767179207207e-13 relative error = 1.634997635710865e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y[1] (closed_form) = -3.075340567066203 y[1] (numeric) = -3.075340567066707 absolute error = 5.044853423896711e-13 relative error = 1.640421057076412e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y[1] (closed_form) = -3.084152431155217 y[1] (numeric) = -3.084152431155725 absolute error = 5.075939668586216e-13 relative error = 1.645813487462727e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = -3.092964295244232 y[1] (numeric) = -3.092964295244743 absolute error = 5.10702591327572e-13 relative error = 1.651175191749975e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y[1] (closed_form) = -3.101776159333247 y[1] (numeric) = -3.10177615933376 absolute error = 5.138112157965224e-13 relative error = 1.656506431808318e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y[1] (closed_form) = -3.110588023422261 y[1] (numeric) = -3.110588023422778 absolute error = 5.169198402654729e-13 relative error = 1.661807466540551e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y[1] (closed_form) = -3.119399887511276 y[1] (numeric) = -3.119399887511796 absolute error = 5.204725539442734e-13 relative error = 1.668502188603711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y[1] (closed_form) = -3.12821175160029 y[1] (numeric) = -3.128211751600814 absolute error = 5.235811784132238e-13 relative error = 1.673739567487325e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y[1] (closed_form) = -3.137023615689305 y[1] (numeric) = -3.137023615689832 absolute error = 5.266898028821743e-13 relative error = 1.678947522894065e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y[1] (closed_form) = -3.14583547977832 y[1] (numeric) = -3.145835479778849 absolute error = 5.297984273511247e-13 relative error = 1.684126302080039e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y[1] (closed_form) = -3.154647343867334 y[1] (numeric) = -3.154647343867867 absolute error = 5.329070518200751e-13 relative error = 1.689276149538717e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y[1] (closed_form) = -3.163459207956349 y[1] (numeric) = -3.163459207956885 absolute error = 5.360156762890256e-13 relative error = 1.694397307039408e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y[1] (closed_form) = -3.172271072045364 y[1] (numeric) = -3.172271072045903 absolute error = 5.39124300757976e-13 relative error = 1.699490013665095e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = -3.181082936134378 y[1] (numeric) = -3.181082936134921 absolute error = 5.426770144367765e-13 relative error = 1.705950537385965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y[1] (closed_form) = -3.189894800223393 y[1] (numeric) = -3.189894800223938 absolute error = 5.45785638905727e-13 relative error = 1.71098319251e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y[1] (closed_form) = -3.198706664312407 y[1] (numeric) = -3.198706664312956 absolute error = 5.488942633746774e-13 relative error = 1.71598811950663e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y[1] (closed_form) = -3.207518528401422 y[1] (numeric) = -3.207518528401974 absolute error = 5.520028878436278e-13 relative error = 1.720965546904378e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y[1] (closed_form) = -3.216330392490437 y[1] (numeric) = -3.216330392490992 absolute error = 5.551115123125783e-13 relative error = 1.725915700727343e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y[1] (closed_form) = -3.225142256579451 y[1] (numeric) = -3.22514225658001 absolute error = 5.582201367815287e-13 relative error = 1.730838804529418e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y[1] (closed_form) = -3.233954120668466 y[1] (numeric) = -3.233954120669027 absolute error = 5.613287612504791e-13 relative error = 1.735735079427939e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y[1] (closed_form) = -3.24276598475748 y[1] (numeric) = -3.242765984758045 absolute error = 5.648814749292796e-13 relative error = 1.741974220725415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y[1] (closed_form) = -3.251577848846495 y[1] (numeric) = -3.251577848847063 absolute error = 5.679900993982301e-13 relative error = 1.746813780268942e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y[1] (closed_form) = -3.26038971293551 y[1] (numeric) = -3.260389712936081 absolute error = 5.710987238671805e-13 relative error = 1.751627180031153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = -3.269201577024524 y[1] (numeric) = -3.269201577025099 absolute error = 5.74207348336131e-13 relative error = 1.756414631546666e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y[1] (closed_form) = -3.278013441113539 y[1] (numeric) = -3.278013441114116 absolute error = 5.773159728050814e-13 relative error = 1.761176344075537e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y[1] (closed_form) = -3.286825305202554 y[1] (numeric) = -3.286825305203134 absolute error = 5.804245972740318e-13 relative error = 1.765912524633744e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y[1] (closed_form) = -3.295637169291568 y[1] (numeric) = -3.295637169292152 absolute error = 5.835332217429823e-13 relative error = 1.770623378023191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y[1] (closed_form) = -3.304449033380583 y[1] (numeric) = -3.30444903338117 absolute error = 5.866418462119327e-13 relative error = 1.775309106861227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y[1] (closed_form) = -3.313260897469597 y[1] (numeric) = -3.313260897470188 absolute error = 5.901945598907332e-13 relative error = 1.781310250398562e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y[1] (closed_form) = -3.322072761558612 y[1] (numeric) = -3.322072761559205 absolute error = 5.933031843596837e-13 relative error = 1.785942774117098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y[1] (closed_form) = -3.330884625647627 y[1] (numeric) = -3.330884625648223 absolute error = 5.964118088286341e-13 relative error = 1.790550787128129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y[1] (closed_form) = -3.339696489736641 y[1] (numeric) = -3.339696489737241 absolute error = 5.995204332975845e-13 relative error = 1.795134483447808e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y[1] (closed_form) = -3.348508353825656 y[1] (numeric) = -3.348508353826259 absolute error = 6.02629057766535e-13 relative error = 1.799694055050016e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = -3.357320217914671 y[1] (numeric) = -3.357320217915277 absolute error = 6.057376822354854e-13 relative error = 1.804229691893157e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y[1] (closed_form) = -3.366132082003686 y[1] (numeric) = -3.366132082004294 absolute error = 6.088463067044358e-13 relative error = 1.808741581946544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y[1] (closed_form) = -3.3749439460927 y[1] (numeric) = -3.374943946093312 absolute error = 6.123990203832363e-13 relative error = 1.814545752951642e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y[1] (closed_form) = -3.383755810181714 y[1] (numeric) = -3.38375581018233 absolute error = 6.155076448521868e-13 relative error = 1.819007278835327e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y[1] (closed_form) = -3.392567674270729 y[1] (numeric) = -3.392567674271348 absolute error = 6.186162693211372e-13 relative error = 1.823445627961175e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y[1] (closed_form) = -3.401379538359744 y[1] (numeric) = -3.401379538360366 absolute error = 6.217248937900877e-13 relative error = 1.827860980459428e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y[1] (closed_form) = -3.410191402448759 y[1] (numeric) = -3.410191402449383 absolute error = 6.248335182590381e-13 relative error = 1.832253514598516e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y[1] (closed_form) = -3.419003266537773 y[1] (numeric) = -3.419003266538401 absolute error = 6.279421427279885e-13 relative error = 1.836623406809053e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y[1] (closed_form) = -3.427815130626788 y[1] (numeric) = -3.427815130627419 absolute error = 6.31050767196939e-13 relative error = 1.840970831707453e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = -3.436626994715803 y[1] (numeric) = -3.436626994716437 absolute error = 6.341593916658894e-13 relative error = 1.845295962119195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = -3.445438858804817 y[1] (numeric) = -3.445438858805455 absolute error = 6.377121053446899e-13 relative error = 1.850887888243952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y[1] (closed_form) = -3.454250722893832 y[1] (numeric) = -3.454250722894472 absolute error = 6.408207298136404e-13 relative error = 1.855165653050184e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y[1] (closed_form) = -3.463062586982846 y[1] (numeric) = -3.46306258698349 absolute error = 6.439293542825908e-13 relative error = 1.859421648060963e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y[1] (closed_form) = -3.471874451071861 y[1] (numeric) = -3.471874451072508 absolute error = 6.470379787515412e-13 relative error = 1.863656039036156e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y[1] (closed_form) = -3.480686315160876 y[1] (numeric) = -3.480686315161526 absolute error = 6.501466032204917e-13 relative error = 1.867868990057043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y[1] (closed_form) = -3.48949817924989 y[1] (numeric) = -3.489498179250544 absolute error = 6.532552276894421e-13 relative error = 1.872060663547523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y[1] (closed_form) = -3.498310043338905 y[1] (numeric) = -3.498310043339561 absolute error = 6.563638521583925e-13 relative error = 1.876231220294976e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y[1] (closed_form) = -3.507121907427919 y[1] (numeric) = -3.507121907428579 absolute error = 6.59916565837193e-13 relative error = 1.881647069180917e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y[1] (closed_form) = -3.515933771516934 y[1] (numeric) = -3.515933771517597 absolute error = 6.630251903061435e-13 relative error = 1.885772694802736e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = -3.524745635605949 y[1] (numeric) = -3.524745635606615 absolute error = 6.661338147750939e-13 relative error = 1.889877692296446e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y[1] (closed_form) = -3.533557499694967 y[1] (numeric) = -3.533557499695632 absolute error = 6.652456363553938e-13 relative error = 1.882651227305119e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y[1] (closed_form) = -3.542369363783986 y[1] (numeric) = -3.54236936378465 absolute error = 6.643574579356937e-13 relative error = 1.875460714875938e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y[1] (closed_form) = -3.551181227873004 y[1] (numeric) = -3.551181227873668 absolute error = 6.639133687258436e-13 relative error = 1.869556426787876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y[1] (closed_form) = -3.559993091962023 y[1] (numeric) = -3.559993091962686 absolute error = 6.630251903061435e-13 relative error = 1.862433923827447e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = -3.568804956051042 y[1] (numeric) = -3.568804956051704 absolute error = 6.621370118864434e-13 relative error = 1.855346593721143e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = -3.57761682014006 y[1] (numeric) = -3.577616820140721 absolute error = 6.616929226765933e-13 relative error = 1.849535475547906e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = -3.586428684229078 y[1] (numeric) = -3.586428684229739 absolute error = 6.608047442568932e-13 relative error = 1.842514664135686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = -3.595240548318097 y[1] (numeric) = -3.595240548318757 absolute error = 6.59916565837193e-13 relative error = 1.835528268465683e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y[1] (closed_form) = -3.604052412407115 y[1] (numeric) = -3.604052412407775 absolute error = 6.59472476627343e-13 relative error = 1.829808230194097e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y[1] (closed_form) = -3.612864276496134 y[1] (numeric) = -3.612864276496793 absolute error = 6.585842982076429e-13 relative error = 1.822886905805269e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y[1] (closed_form) = -3.621676140585153 y[1] (numeric) = -3.62167614058581 absolute error = 6.576961197879427e-13 relative error = 1.815999261827091e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y[1] (closed_form) = -3.630488004674171 y[1] (numeric) = -3.630488004674828 absolute error = 6.572520305780927e-13 relative error = 1.810368274821169e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y[1] (closed_form) = -3.63929986876319 y[1] (numeric) = -3.639299868763846 absolute error = 6.563638521583925e-13 relative error = 1.803544296506286e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y[1] (closed_form) = -3.648111732852208 y[1] (numeric) = -3.648111732852864 absolute error = 6.554756737386924e-13 relative error = 1.796753284270219e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y[1] (closed_form) = -3.656923596941227 y[1] (numeric) = -3.656923596941882 absolute error = 6.550315845288424e-13 relative error = 1.791209379043994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y[1] (closed_form) = -3.665735461030245 y[1] (numeric) = -3.665735461030899 absolute error = 6.541434061091422e-13 relative error = 1.784480667149115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y[1] (closed_form) = -3.674547325119264 y[1] (numeric) = -3.674547325119917 absolute error = 6.532552276894421e-13 relative error = 1.777784227253733e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y[1] (closed_form) = -3.683359189208282 y[1] (numeric) = -3.683359189208935 absolute error = 6.52811138479592e-13 relative error = 1.772325491340176e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y[1] (closed_form) = -3.692171053297301 y[1] (numeric) = -3.692171053297953 absolute error = 6.519229600598919e-13 relative error = 1.765690025324506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y[1] (closed_form) = -3.70098291738632 y[1] (numeric) = -3.700982917386971 absolute error = 6.510347816401918e-13 relative error = 1.759086156766054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y[1] (closed_form) = -3.709794781475338 y[1] (numeric) = -3.709794781475988 absolute error = 6.505906924303417e-13 relative error = 1.753710732677267e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y[1] (closed_form) = -3.718606645564356 y[1] (numeric) = -3.718606645565006 absolute error = 6.497025140106416e-13 relative error = 1.747166549023469e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y[1] (closed_form) = -3.727418509653375 y[1] (numeric) = -3.727418509654024 absolute error = 6.488143355909415e-13 relative error = 1.740653307136356e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y[1] (closed_form) = -3.736230373742393 y[1] (numeric) = -3.736230373743042 absolute error = 6.483702463810914e-13 relative error = 1.735359390410532e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y[1] (closed_form) = -3.745042237831412 y[1] (numeric) = -3.74504223783206 absolute error = 6.474820679613913e-13 relative error = 1.728904580623153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y[1] (closed_form) = -3.753854101920431 y[1] (numeric) = -3.753854101921077 absolute error = 6.465938895416912e-13 relative error = 1.722480075107077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y[1] (closed_form) = -3.762665966009449 y[1] (numeric) = -3.762665966010095 absolute error = 6.461498003318411e-13 relative error = 1.717265912437943e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y[1] (closed_form) = -3.771477830098468 y[1] (numeric) = -3.771477830099113 absolute error = 6.45261621912141e-13 relative error = 1.710898621125645e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y[1] (closed_form) = -3.780289694187486 y[1] (numeric) = -3.780289694188131 absolute error = 6.443734434924409e-13 relative error = 1.70456101415513e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y[1] (closed_form) = -3.789101558276505 y[1] (numeric) = -3.789101558277149 absolute error = 6.439293542825908e-13 relative error = 1.699424901599855e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y[1] (closed_form) = -3.797913422365523 y[1] (numeric) = -3.797913422366166 absolute error = 6.430411758628907e-13 relative error = 1.693143324637384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y[1] (closed_form) = -3.806725286454542 y[1] (numeric) = -3.806725286455184 absolute error = 6.421529974431905e-13 relative error = 1.686890829049738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y[1] (closed_form) = -3.81553715054356 y[1] (numeric) = -3.815537150544202 absolute error = 6.417089082333405e-13 relative error = 1.681831110311488e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y[1] (closed_form) = -3.824349014632579 y[1] (numeric) = -3.82434901463322 absolute error = 6.408207298136404e-13 relative error = 1.675633493077532e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y[1] (closed_form) = -3.833160878721598 y[1] (numeric) = -3.833160878722238 absolute error = 6.399325513939402e-13 relative error = 1.669464370635456e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y[1] (closed_form) = -3.841972742810616 y[1] (numeric) = -3.841972742811255 absolute error = 6.390443729742401e-13 relative error = 1.663323546920179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y[1] (closed_form) = -3.850784606899635 y[1] (numeric) = -3.850784606900273 absolute error = 6.3860028376439e-13 relative error = 1.658364071104313e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = -3.859596470988653 y[1] (numeric) = -3.859596470989291 absolute error = 6.377121053446899e-13 relative error = 1.652276630829588e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y[1] (closed_form) = -3.868408335077672 y[1] (numeric) = -3.868408335078309 absolute error = 6.368239269249898e-13 relative error = 1.646216923767959e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y[1] (closed_form) = -3.87722019916669 y[1] (numeric) = -3.877220199167327 absolute error = 6.363798377151397e-13 relative error = 1.641330141248912e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = -3.886032063255709 y[1] (numeric) = -3.886032063256344 absolute error = 6.354916592954396e-13 relative error = 1.6353227378238e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y[1] (closed_form) = -3.894843927344728 y[1] (numeric) = -3.894843927345362 absolute error = 6.346034808757395e-13 relative error = 1.629342517219616e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = -3.903655791433746 y[1] (numeric) = -3.90365579143438 absolute error = 6.341593916658894e-13 relative error = 1.624526919247082e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = -3.912467655522764 y[1] (numeric) = -3.912467655523398 absolute error = 6.332712132461893e-13 relative error = 1.618597951480253e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = -3.921279519611783 y[1] (numeric) = -3.921279519612415 absolute error = 6.323830348264892e-13 relative error = 1.612695630759566e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = -3.930091383700801 y[1] (numeric) = -3.930091383701433 absolute error = 6.319389456166391e-13 relative error = 1.607949749559179e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = -3.93890324778982 y[1] (numeric) = -3.938903247790451 absolute error = 6.31050767196939e-13 relative error = 1.602097658913129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y[1] (closed_form) = -3.947715111878839 y[1] (numeric) = -3.947715111879469 absolute error = 6.301625887772389e-13 relative error = 1.596271693671748e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y[1] (closed_form) = -3.956526975967857 y[1] (numeric) = -3.956526975968487 absolute error = 6.297184995673888e-13 relative error = 1.591594101069778e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = -3.965338840056876 y[1] (numeric) = -3.965338840057504 absolute error = 6.288303211476887e-13 relative error = 1.5858173702469e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y[1] (closed_form) = -3.974150704145894 y[1] (numeric) = -3.974150704146522 absolute error = 6.279421427279885e-13 relative error = 1.580066256855609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = -3.982962568234913 y[1] (numeric) = -3.98296256823554 absolute error = 6.274980535181385e-13 relative error = 1.575455562958555e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = -3.991774432323931 y[1] (numeric) = -3.991774432324558 absolute error = 6.266098750984384e-13 relative error = 1.569752714543138e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = -4.000586296412949 y[1] (numeric) = -4.000586296413576 absolute error = 6.261657858885883e-13 relative error = 1.565185049126494e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = -4.009398160501968 y[1] (numeric) = -4.009398160502589 absolute error = 6.208367153703875e-13 relative error = 1.548453634479296e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = -4.018210024590987 y[1] (numeric) = -4.018210024591602 absolute error = 6.155076448521868e-13 relative error = 1.531795603229673e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = -4.027021888680006 y[1] (numeric) = -4.027021888680616 absolute error = 6.10178574333986e-13 relative error = 1.515210473648538e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = -4.035833752769024 y[1] (numeric) = -4.035833752769629 absolute error = 6.048495038157853e-13 relative error = 1.498697768214045e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = -4.044645616858043 y[1] (numeric) = -4.044645616858642 absolute error = 5.995204332975845e-13 relative error = 1.482257013565761e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y[1] (closed_form) = -4.053457480947061 y[1] (numeric) = -4.053457480947656 absolute error = 5.950795411990839e-13 relative error = 1.468078903001218e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y[1] (closed_form) = -4.062269345036079 y[1] (numeric) = -4.062269345036669 absolute error = 5.897504706808832e-13 relative error = 1.451775893200024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y[1] (closed_form) = -4.071081209125098 y[1] (numeric) = -4.071081209125682 absolute error = 5.844214001626824e-13 relative error = 1.435543459198836e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y[1] (closed_form) = -4.079893073214117 y[1] (numeric) = -4.079893073214696 absolute error = 5.790923296444817e-13 relative error = 1.419381143703053e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y[1] (closed_form) = -4.088704937303135 y[1] (numeric) = -4.088704937303709 absolute error = 5.737632591262809e-13 relative error = 1.403288493360269e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y[1] (closed_form) = -4.097516801392154 y[1] (numeric) = -4.097516801392723 absolute error = 5.684341886080801e-13 relative error = 1.387265058717884e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y[1] (closed_form) = -4.106328665481172 y[1] (numeric) = -4.106328665481736 absolute error = 5.639932965095795e-13 relative error = 1.373473344329811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y[1] (closed_form) = -4.115140529570191 y[1] (numeric) = -4.115140529570749 absolute error = 5.586642259913788e-13 relative error = 1.357582376536067e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y[1] (closed_form) = -4.123952393659209 y[1] (numeric) = -4.123952393659763 absolute error = 5.53335155473178e-13 relative error = 1.341759318861099e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y[1] (closed_form) = -4.132764257748228 y[1] (numeric) = -4.132764257748776 absolute error = 5.480060849549773e-13 relative error = 1.326003736911824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y[1] (closed_form) = -4.141576121837247 y[1] (numeric) = -4.141576121837789 absolute error = 5.426770144367765e-13 relative error = 1.310315199992121e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y[1] (closed_form) = -4.150387985926265 y[1] (numeric) = -4.150387985926803 absolute error = 5.373479439185758e-13 relative error = 1.294693281063584e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y[1] (closed_form) = -4.159199850015283 y[1] (numeric) = -4.159199850015816 absolute error = 5.329070518200751e-13 relative error = 1.281273011726323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y[1] (closed_form) = -4.168011714104302 y[1] (numeric) = -4.168011714104829 absolute error = 5.275779813018744e-13 relative error = 1.265778547398468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y[1] (closed_form) = -4.176823578193321 y[1] (numeric) = -4.176823578193843 absolute error = 5.222489107836736e-13 relative error = 1.25034946055723e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y[1] (closed_form) = -4.185635442282339 y[1] (numeric) = -4.185635442282856 absolute error = 5.169198402654729e-13 relative error = 1.234985338292165e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y[1] (closed_form) = -4.194447306371358 y[1] (numeric) = -4.194447306371869 absolute error = 5.115907697472721e-13 relative error = 1.219685771162667e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y[1] (closed_form) = -4.203259170460377 y[1] (numeric) = -4.203259170460883 absolute error = 5.062616992290714e-13 relative error = 1.204450353161595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y[1] (closed_form) = -4.212071034549394 y[1] (numeric) = -4.212071034549896 absolute error = 5.018208071305708e-13 relative error = 1.191387331824178e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y[1] (closed_form) = -4.220882898638413 y[1] (numeric) = -4.22088289863891 absolute error = 4.9649173661237e-13 relative error = 1.176274605420894e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y[1] (closed_form) = -4.229694762727432 y[1] (numeric) = -4.229694762727923 absolute error = 4.911626660941693e-13 relative error = 1.161224848710958e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (closed_form) = -4.23850662681645 y[1] (numeric) = -4.238506626816936 absolute error = 4.858335955759685e-13 relative error = 1.146237668951998e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y[1] (closed_form) = -4.247318490905469 y[1] (numeric) = -4.24731849090595 absolute error = 4.805045250577678e-13 relative error = 1.131312676660918e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y[1] (closed_form) = -4.256130354994488 y[1] (numeric) = -4.256130354994963 absolute error = 4.75175454539567e-13 relative error = 1.116449485580153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y[1] (closed_form) = -4.264942219083506 y[1] (numeric) = -4.264942219083976 absolute error = 4.707345624410664e-13 relative error = 1.10373022249812e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y[1] (closed_form) = -4.273754083172524 y[1] (numeric) = -4.27375408317299 absolute error = 4.654054919228656e-13 relative error = 1.088985193966477e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y[1] (closed_form) = -4.282565947261543 y[1] (numeric) = -4.282565947262003 absolute error = 4.600764214046649e-13 relative error = 1.074300844564595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y[1] (closed_form) = -4.291377811350562 y[1] (numeric) = -4.291377811351016 absolute error = 4.547473508864641e-13 relative error = 1.059676800499065e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y[1] (closed_form) = -4.30018967543958 y[1] (numeric) = -4.30018967544003 absolute error = 4.494182803682634e-13 relative error = 1.04511269104036e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y[1] (closed_form) = -4.309001539528599 y[1] (numeric) = -4.309001539529043 absolute error = 4.440892098500626e-13 relative error = 1.030608148491508e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y[1] (closed_form) = -4.317813403617618 y[1] (numeric) = -4.317813403618056 absolute error = 4.387601393318619e-13 relative error = 1.01616280815714e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y[1] (closed_form) = -4.326625267706635 y[1] (numeric) = -4.32662526770707 absolute error = 4.343192472333612e-13 relative error = 1.003829128616853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y[1] (closed_form) = -4.335437131795654 y[1] (numeric) = -4.335437131796083 absolute error = 4.289901767151605e-13 relative error = 9.894969380803386e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y[1] (closed_form) = -4.344248995884673 y[1] (numeric) = -4.344248995885096 absolute error = 4.236611061969597e-13 relative error = 9.752228903046208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = -4.353060859973692 y[1] (numeric) = -4.35306085997411 absolute error = 4.18332035678759e-13 relative error = 9.610066321960113e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y[1] (closed_form) = -4.36187272406271 y[1] (numeric) = -4.361872724063123 absolute error = 4.130029651605582e-13 relative error = 9.468478135141033e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y[1] (closed_form) = -4.370684588151729 y[1] (numeric) = -4.370684588152137 absolute error = 4.076738946423575e-13 relative error = 9.327460868430093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = -4.379496452240747 y[1] (numeric) = -4.37949645224115 absolute error = 4.032330025438569e-13 relative error = 9.207291453279858e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y[1] (closed_form) = -4.388308316329765 y[1] (numeric) = -4.388308316330163 absolute error = 3.979039320256561e-13 relative error = 9.067364992222098e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y[1] (closed_form) = -4.397120180418784 y[1] (numeric) = -4.397120180419177 absolute error = 3.925748615074554e-13 relative error = 8.927999358663567e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ln ( 0.1 ) + exp ( 0.1 ) + sqrt ( 0.1 ) ; Iterations = 4900 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %