##############ECHO OF PROBLEM################# ##############temp/sing6postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=30; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=2.0; x_end=3.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=6.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=3.0; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(1.0/ ( x - 6.0 ) / ( x - 6.0 )); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1000000 step_error = 5e-15 est_needed_step_err = 5e-15 opt_iter = 1 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1000000 step_error = 5e-15 est_needed_step_err = 5e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.728484426316951e-107 estimated_step_error = 2.728484426316951e-107 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 500000 step_error = 7.071067811865475e-15 est_needed_step_err = 7.071067811865475e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.788139764000486e-102 estimated_step_error = 1.788139764000486e-102 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 250000 step_error = 1e-14 est_needed_step_err = 1e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.171875551470848e-97 estimated_step_error = 1.171875551470848e-97 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 125000 step_error = 1.414213562373095e-14 est_needed_step_err = 1.414213562373095e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.680007228242115e-93 estimated_step_error = 7.680007228242115e-93 Double H and LOOP opt_iter = 5 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 62500 step_error = 2e-14 est_needed_step_err = 2e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.033174274210456e-88 estimated_step_error = 5.033174274210456e-88 Double H and LOOP opt_iter = 6 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 31250 step_error = 2.82842712474619e-14 est_needed_step_err = 2.82842712474619e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.298547301388589e-83 estimated_step_error = 3.298547301388589e-83 Double H and LOOP opt_iter = 7 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 15625 step_error = 4e-14 est_needed_step_err = 4e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.161744097799704e-78 estimated_step_error = 2.161744097799704e-78 Double H and LOOP opt_iter = 8 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 7812.5 step_error = 5.65685424949238e-14 est_needed_step_err = 5.65685424949238e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.41673127916833e-73 estimated_step_error = 1.41673127916833e-73 Double H and LOOP opt_iter = 9 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000256 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 3906.25 step_error = 8e-14 est_needed_step_err = 8e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.284829931900477e-69 estimated_step_error = 9.284829931900477e-69 Double H and LOOP opt_iter = 10 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000512 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1953.125 step_error = 1.131370849898476e-13 est_needed_step_err = 1.131370849898476e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.085089418323007e-64 estimated_step_error = 6.085089418323007e-64 Double H and LOOP opt_iter = 11 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.001024 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 976.5625 step_error = 1.6e-13 est_needed_step_err = 1.6e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.988164444072296e-59 estimated_step_error = 3.988164444072296e-59 Double H and LOOP opt_iter = 12 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.002048 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 488.28125 step_error = 2.262741699796952e-13 est_needed_step_err = 2.262741699796952e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.613998398329204e-54 estimated_step_error = 2.613998398329204e-54 Double H and LOOP opt_iter = 13 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.004096 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 244.140625 step_error = 3.2e-13 est_needed_step_err = 3.2e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.713522949099779e-49 estimated_step_error = 1.713522949099779e-49 Double H and LOOP opt_iter = 14 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0.0625 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.008192 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 122.0703125 step_error = 4.525483399593904e-13 est_needed_step_err = 4.525483399593904e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.123516066226922e-44 estimated_step_error = 1.123516066226922e-44 Double H and LOOP opt_iter = 15 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 2.441 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 0.0625 y[1] (numeric) = 0.0625 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 6.584e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = 0.06281367579349376 y[1] (numeric) = 0.06281367579349373 absolute error = 2.775557561562891e-17 relative error = 4.418715393583739e-14 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.99 Order of pole (three term test) = 6.107e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = 0.06312971894649123 y[1] (numeric) = 0.06312971894649119 absolute error = 4.163336342344337e-17 relative error = 6.594891299727125e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.98 Order of pole (three term test) = 2.832e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999999 y[1] (analytic) = 0.06344815334149698 y[1] (numeric) = 0.06344815334149691 absolute error = 6.938893903907228e-17 relative error = 1.093632129300915e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.97 Order of pole (three term test) = 5.253e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999999 y[1] (analytic) = 0.06376900316294254 y[1] (numeric) = 0.06376900316294244 absolute error = 9.71445146547012e-17 relative error = 1.523381421009163e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.96 Order of pole (three term test) = 2.435e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999999 y[1] (analytic) = 0.06409229290177852 y[1] (numeric) = 0.06409229290177841 absolute error = 1.110223024625157e-16 relative error = 1.732225474171402e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.95 Order of pole (three term test) = 9.028e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999999 y[1] (analytic) = 0.06441804736014838 y[1] (numeric) = 0.06441804736014824 absolute error = 1.387778780781446e-16 relative error = 2.154332268133887e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.94 Order of pole (three term test) = 1.255e-13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999999 y[1] (analytic) = 0.06474629165614534 y[1] (numeric) = 0.06474629165614518 absolute error = 1.665334536937735e-16 relative error = 2.572092538954964e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.93 Order of pole (three term test) = 3.876e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999998 y[1] (analytic) = 0.06507705122865468 y[1] (numeric) = 0.06507705122865448 absolute error = 1.942890293094024e-16 relative error = 2.985522939980003e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.92 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999998 y[1] (analytic) = 0.06541035184228249 y[1] (numeric) = 0.06541035184228228 absolute error = 2.081668171172169e-16 relative error = 3.182475116769727e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.91 Order of pole (three term test) = 6.653e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999998 y[1] (analytic) = 0.06574621959237337 y[1] (numeric) = 0.06574621959237312 absolute error = 2.498001805406602e-16 relative error = 3.799460746023446e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.9 Order of pole (three term test) = 3.08e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999998 y[1] (analytic) = 0.06608468091011814 y[1] (numeric) = 0.06608468091011786 absolute error = 2.775557561562891e-16 relative error = 4.200001457732588e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.89 Order of pole (three term test) = 8.556e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999997 y[1] (analytic) = 0.06642576256775419 y[1] (numeric) = 0.06642576256775387 absolute error = 3.191891195797325e-16 relative error = 4.805200681801131e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.88 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999997 y[1] (analytic) = 0.06676949168385972 y[1] (numeric) = 0.06676949168385936 absolute error = 3.608224830031759e-16 relative error = 5.404002245690272e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.87 Order of pole (three term test) = 4.887e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999997 y[1] (analytic) = 0.0671158957287443 y[1] (numeric) = 0.06711589572874391 absolute error = 3.885780586188048e-16 relative error = 5.789657642196753e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.86 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999997 y[1] (analytic) = 0.06746500252993749 y[1] (numeric) = 0.06746500252993706 absolute error = 4.302114220422482e-16 relative error = 6.376808803221233e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.85 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999997 y[1] (analytic) = 0.06781684027777767 y[1] (numeric) = 0.06781684027777721 absolute error = 4.579669976578771e-16 relative error = 6.752998160664004e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.84 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999996 y[1] (analytic) = 0.06817143753110309 y[1] (numeric) = 0.06817143753110261 absolute error = 4.85722573273506e-16 relative error = 7.125015855091745e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.83 Order of pole (three term test) = 3.578e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999996 y[1] (analytic) = 0.06852882322304747 y[1] (numeric) = 0.06852882322304696 absolute error = 5.134781488891349e-16 relative error = 7.492878539849828e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.82 Order of pole (three term test) = 3.308e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999996 y[1] (analytic) = 0.06888902666694208 y[1] (numeric) = 0.06888902666694152 absolute error = 5.551115123125783e-16 relative error = 8.058054223880635e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.81 Order of pole (three term test) = 3.058e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999996 y[1] (analytic) = 0.06925207756232672 y[1] (numeric) = 0.06925207756232613 absolute error = 5.967448757360216e-16 relative error = 8.616996005628171e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.8 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999996 y[1] (analytic) = 0.06961800600107194 y[1] (numeric) = 0.06961800600107132 absolute error = 6.245004513516506e-16 relative error = 8.970386933260266e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.79 Order of pole (three term test) = 2.611e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999995 y[1] (analytic) = 0.06998684247361478 y[1] (numeric) = 0.06998684247361411 absolute error = 6.661338147750939e-16 relative error = 9.517986399032477e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.78 Order of pole (three term test) = 2.412e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999995 y[1] (analytic) = 0.07035861787531027 y[1] (numeric) = 0.07035861787530956 absolute error = 7.077671781985373e-16 relative error = 1.005942412701802e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.77 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.77 Order of pole (three term test) = 8.912e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999995 y[1] (analytic) = 0.07073336351290158 y[1] (numeric) = 0.07073336351290081 absolute error = 7.632783294297951e-16 relative error = 1.07909237101467e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.76 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.76 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999995 y[1] (analytic) = 0.0711111111111109 y[1] (numeric) = 0.07111111111111011 absolute error = 7.91033905045424e-16 relative error = 1.112391428970131e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.75 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.75 Order of pole (three term test) = 7.598e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999994 y[1] (analytic) = 0.07149189281935409 y[1] (numeric) = 0.07149189281935324 absolute error = 8.465450562766819e-16 relative error = 1.184113362917575e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.74 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.74 Order of pole (three term test) = 3.506e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999994 y[1] (analytic) = 0.07187574121858109 y[1] (numeric) = 0.07187574121858022 absolute error = 8.743006318923108e-16 relative error = 1.216405726145457e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.73 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.73 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999994 y[1] (analytic) = 0.07226268932824581 y[1] (numeric) = 0.07226268932824488 absolute error = 9.298117831235686e-16 relative error = 1.286710737957723e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.72 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.72 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999994 y[1] (analytic) = 0.07265277061340709 y[1] (numeric) = 0.07265277061340612 absolute error = 9.71445146547012e-16 relative error = 1.337106814158777e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.71 Order of pole (three term test) = 5.508e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999994 y[1] (analytic) = 0.07304601899196468 y[1] (numeric) = 0.07304601899196365 absolute error = 1.02695629777827e-15 relative error = 1.405903171658456e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.7 Order of pole (three term test) = 5.079e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999993 y[1] (analytic) = 0.07344246884203233 y[1] (numeric) = 0.07344246884203125 absolute error = 1.082467449009528e-15 relative error = 1.473898503245868e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.69 Order of pole (three term test) = 4.683e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999993 y[1] (analytic) = 0.07384215500945152 y[1] (numeric) = 0.07384215500945039 absolute error = 1.124100812432971e-15 relative error = 1.522302284229232e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.68 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.68 Order of pole (three term test) = 4.317e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999993 y[1] (analytic) = 0.07424511281544864 y[1] (numeric) = 0.07424511281544746 absolute error = 1.179611963664229e-15 relative error = 1.588807557739719e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.67 Order of pole (three term test) = 3.979e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999993 y[1] (analytic) = 0.07465137806443878 y[1] (numeric) = 0.07465137806443754 absolute error = 1.235123114895487e-15 relative error = 1.654521519789405e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.66 Order of pole (three term test) = 3.666e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999993 y[1] (analytic) = 0.07506098705197943 y[1] (numeric) = 0.07506098705197814 absolute error = 1.290634266126744e-15 relative error = 1.719447501047362e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.65 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999992 y[1] (analytic) = 0.07547397657287735 y[1] (numeric) = 0.07547397657287601 absolute error = 1.346145417358002e-15 relative error = 1.783588832182666e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.64 Order of pole (three term test) = 3.11e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999992 y[1] (analytic) = 0.07589038392945197 y[1] (numeric) = 0.07589038392945056 absolute error = 1.40165656858926e-15 relative error = 1.84694884386439e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.63 Order of pole (three term test) = 5.728e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999992 y[1] (analytic) = 0.07631024693995876 y[1] (numeric) = 0.07631024693995729 absolute error = 1.471045507628332e-15 relative error = 1.927716875016481e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.62 Order of pole (three term test) = 5.273e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999992 y[1] (analytic) = 0.07673360394717624 y[1] (numeric) = 0.07673360394717471 absolute error = 1.52655665885959e-15 relative error = 1.989423903392416e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.61 Order of pole (three term test) = 2.426e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999991 y[1] (analytic) = 0.07716049382716013 y[1] (numeric) = 0.07716049382715855 absolute error = 1.582067810090848e-15 relative error = 2.050359881877749e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.6 Order of pole (three term test) = 4.465e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999991 y[1] (analytic) = 0.07759095599816848 y[1] (numeric) = 0.07759095599816683 absolute error = 1.65145674912992e-15 relative error = 2.128413972846143e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.59 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999991 y[1] (analytic) = 0.07802503042976149 y[1] (numeric) = 0.07802503042975976 absolute error = 1.720845688168993e-15 relative error = 2.205504667784918e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.58 Order of pole (three term test) = 3.778e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999991 y[1] (analytic) = 0.07846275765208004 y[1] (numeric) = 0.07846275765207826 absolute error = 1.77635683940025e-15 relative error = 2.263949028247237e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.57 Order of pole (three term test) = 3.474e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999991 y[1] (analytic) = 0.07890417876530699 y[1] (numeric) = 0.07890417876530516 absolute error = 1.831867990631508e-15 relative error = 2.321636216606761e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.56 Order of pole (three term test) = 3.194e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.44999999999999 y[1] (analytic) = 0.07934933544931519 y[1] (numeric) = 0.07934933544931327 absolute error = 1.915134717478395e-15 relative error = 2.41354852770216e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.55 Order of pole (three term test) = 2.935e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45999999999999 y[1] (analytic) = 0.07979826997350653 y[1] (numeric) = 0.07979826997350456 absolute error = 1.970645868709653e-15 relative error = 2.469534576832202e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.54 Order of pole (three term test) = 5.394e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.46999999999999 y[1] (analytic) = 0.08025102520684656 y[1] (numeric) = 0.08025102520684452 absolute error = 2.040034807748725e-15 relative error = 2.542066973587624e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 2.478e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.47999999999999 y[1] (analytic) = 0.08070764462809871 y[1] (numeric) = 0.08070764462809658 absolute error = 2.123301534595612e-15 relative error = 2.630855533425362e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.52 Order of pole (three term test) = 4.551e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.48999999999999 y[1] (analytic) = 0.08116817233626303 y[1] (numeric) = 0.08116817233626082 absolute error = 2.206568261442499e-15 relative error = 2.718514163779789e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.51 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999989 y[1] (analytic) = 0.081632653061224 y[1] (numeric) = 0.08163265306122172 absolute error = 2.275957200481571e-15 relative error = 2.788047570589941e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.5 Order of pole (three term test) = 7.672e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999989 y[1] (analytic) = 0.08210113217461218 y[1] (numeric) = 0.08210113217460982 absolute error = 2.359223927328458e-15 relative error = 2.873558335725353e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.49 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999989 y[1] (analytic) = 0.08257365570088467 y[1] (numeric) = 0.08257365570088222 absolute error = 2.442490654175344e-15 relative error = 2.957953881832528e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 3.23e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999989 y[1] (analytic) = 0.08305027032862938 y[1] (numeric) = 0.08305027032862686 absolute error = 2.525757381022231e-15 relative error = 3.041239204915078e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.47 Order of pole (three term test) = 5.926e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999988 y[1] (analytic) = 0.08353102342209841 y[1] (numeric) = 0.0835310234220958 absolute error = 2.609024107869118e-15 relative error = 3.123419300976614e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.46 Order of pole (three term test) = 2.717e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.549999999999988 y[1] (analytic) = 0.08401596303297569 y[1] (numeric) = 0.084015963032973 absolute error = 2.692290834716005e-15 relative error = 3.204499166020746e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.45 Order of pole (three term test) = 2.491e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999988 y[1] (analytic) = 0.0845051379123845 y[1] (numeric) = 0.08450513791238171 absolute error = 2.789435349370706e-15 relative error = 3.300906215031341e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.44 Order of pole (three term test) = 4.567e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999988 y[1] (analytic) = 0.08499859752314026 y[1] (numeric) = 0.08499859752313739 absolute error = 2.872702076217593e-15 relative error = 3.37970526564926e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.43 Order of pole (three term test) = 4.185e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999988 y[1] (analytic) = 0.08549639205225477 y[1] (numeric) = 0.0854963920522518 absolute error = 2.969846590872294e-15 relative error = 3.473651366547895e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.42 Order of pole (three term test) = 3.834e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999987 y[1] (analytic) = 0.08599857242369713 y[1] (numeric) = 0.08599857242369406 absolute error = 3.066991105526995e-15 relative error = 3.566327927417871e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.41 Order of pole (three term test) = 3.511e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999987 y[1] (analytic) = 0.08650519031141804 y[1] (numeric) = 0.08650519031141486 absolute error = 3.178013407989511e-15 relative error = 3.673783499635902e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.4 Order of pole (three term test) = 3.215e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999987 y[1] (analytic) = 0.08701629815264333 y[1] (numeric) = 0.08701629815264005 absolute error = 3.289035710452026e-15 relative error = 3.779792728808602e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.39 Order of pole (three term test) = 2.943e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999987 y[1] (analytic) = 0.08753194916144325 y[1] (numeric) = 0.08753194916143986 absolute error = 3.386180225106727e-15 relative error = 3.86850773637096e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.38 Order of pole (three term test) = 2.694e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999987 y[1] (analytic) = 0.08805219734258397 y[1] (numeric) = 0.08805219734258049 absolute error = 3.483324739761429e-15 relative error = 3.955977073699688e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.37 Order of pole (three term test) = 2.465e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999986 y[1] (analytic) = 0.08857709750566821 y[1] (numeric) = 0.08857709750566461 absolute error = 3.594347042223944e-15 relative error = 4.057874036789177e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.36 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999986 y[1] (analytic) = 0.08910670527957154 y[1] (numeric) = 0.08910670527956784 absolute error = 3.70536934468646e-15 relative error = 4.158350747074414e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.35 Order of pole (three term test) = 8.246e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999986 y[1] (analytic) = 0.08964107712718201 y[1] (numeric) = 0.08964107712717817 absolute error = 3.844147222764605e-15 relative error = 4.288376875827318e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.34 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999986 y[1] (analytic) = 0.09018027036044977 y[1] (numeric) = 0.09018027036044582 absolute error = 3.95516952522712e-15 relative error = 4.385847934829139e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.33 Order of pole (three term test) = 3.445e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999986 y[1] (analytic) = 0.09072434315575477 y[1] (numeric) = 0.09072434315575069 absolute error = 4.08006961549745e-15 relative error = 4.497215932985948e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.32 Order of pole (three term test) = 3.148e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999985 y[1] (analytic) = 0.09127335456959969 y[1] (numeric) = 0.0912733545695955 absolute error = 4.191091917959966e-15 relative error = 4.591802216236159e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.31 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999985 y[1] (analytic) = 0.09182736455463644 y[1] (numeric) = 0.09182736455463214 absolute error = 4.302114220422482e-15 relative error = 4.685002386040125e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.3 Order of pole (three term test) = 2.626e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999985 y[1] (analytic) = 0.0923864339760341 y[1] (numeric) = 0.09238643397602966 absolute error = 4.440892098500626e-15 relative error = 4.806866016338107e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.29 Order of pole (three term test) = 2.397e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999985 y[1] (analytic) = 0.09295062462819663 y[1] (numeric) = 0.09295062462819205 absolute error = 4.579669976578771e-15 relative error = 4.926992147602551e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.28 Order of pole (three term test) = 4.376e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999984 y[1] (analytic) = 0.09351999925183911 y[1] (numeric) = 0.09351999925183439 absolute error = 4.718447854656915e-15 relative error = 5.045389106506141e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.27 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999984 y[1] (analytic) = 0.09409462155143121 y[1] (numeric) = 0.09409462155142634 absolute error = 4.871103520542874e-15 relative error = 5.176813977492195e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.26 Order of pole (three term test) = 3.643e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999984 y[1] (analytic) = 0.09467455621301682 y[1] (numeric) = 0.09467455621301181 absolute error = 5.009881398621019e-15 relative error = 5.291687227293503e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.25 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999984 y[1] (analytic) = 0.09525986892241942 y[1] (numeric) = 0.09525986892241425 absolute error = 5.162537064506978e-15 relative error = 5.419424908836899e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.24 Order of pole (three term test) = 3.029e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999984 y[1] (analytic) = 0.09585062638384244 y[1] (numeric) = 0.09585062638383714 absolute error = 5.301314942585122e-15 relative error = 5.530808866449689e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.23 Order of pole (three term test) = 2.76e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999983 y[1] (analytic) = 0.09644689633887482 y[1] (numeric) = 0.09644689633886935 absolute error = 5.467848396278896e-15 relative error = 5.669283931197869e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.22 Order of pole (three term test) = 2.515e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999983 y[1] (analytic) = 0.09704874758591139 y[1] (numeric) = 0.09704874758590576 absolute error = 5.634381849972669e-15 relative error = 5.805723402030398e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 9.165e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999983 y[1] (analytic) = 0.09765624999999896 y[1] (numeric) = 0.09765624999999317 absolute error = 5.787037515858628e-15 relative error = 5.925926416239299e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.2 Order of pole (three term test) = 4.173e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999983 y[1] (analytic) = 0.0982694745531185 y[1] (numeric) = 0.09826947455311254 absolute error = 5.967448757360216e-15 relative error = 6.072535529977395e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.19 Order of pole (three term test) = 3.799e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999983 y[1] (analytic) = 0.09888849333491447 y[1] (numeric) = 0.09888849333490833 absolute error = 6.13398221105399e-15 relative error = 6.202928171106305e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.18 Order of pole (three term test) = 6.915e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999982 y[1] (analytic) = 0.09951337957388261 y[1] (numeric) = 0.09951337957387629 absolute error = 6.314393452555578e-15 relative error = 6.345270836538645e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.17 Order of pole (three term test) = 6.291e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999982 y[1] (analytic) = 0.1001442076590279 y[1] (numeric) = 0.1001442076590214 absolute error = 6.480926906249351e-15 relative error = 6.471594371504426e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.16 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999982 y[1] (analytic) = 0.1007810531620044 y[1] (numeric) = 0.1007810531619977 absolute error = 6.675215935558754e-15 relative error = 6.62348301205825e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.15 Order of pole (three term test) = 5.203e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999982 y[1] (analytic) = 0.1014239928597497 y[1] (numeric) = 0.1014239928597428 absolute error = 6.883382752675971e-15 relative error = 6.786740058828479e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.14 Order of pole (three term test) = 4.73e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999981 y[1] (analytic) = 0.1020731047576262 y[1] (numeric) = 0.1020731047576191 absolute error = 7.077671781985373e-15 relative error = 6.933924268093333e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.13 Order of pole (three term test) = 4.298e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999981 y[1] (analytic) = 0.1027284681130823 y[1] (numeric) = 0.102728468113075 absolute error = 7.299716386910404e-15 relative error = 7.105835919674149e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.12 Order of pole (three term test) = 3.905e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999981 y[1] (analytic) = 0.1033901634598472 y[1] (numeric) = 0.1033901634598397 absolute error = 7.521760991835436e-15 relative error = 7.27512244891324e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.11 Order of pole (three term test) = 7.093e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999981 y[1] (analytic) = 0.104058272632673 y[1] (numeric) = 0.1040582726326653 absolute error = 7.716050021144838e-15 relative error = 7.415124070320281e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.1 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999981 y[1] (analytic) = 0.1047328787926381 y[1] (numeric) = 0.1047328787926301 absolute error = 7.951972413877684e-15 relative error = 7.592622780494647e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.09 Order of pole (three term test) = 2.922e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.91999999999998 y[1] (analytic) = 0.1054140664530262 y[1] (numeric) = 0.105414066453018 absolute error = 8.174017018802715e-15 relative error = 7.754199504717106e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.08 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.92999999999998 y[1] (analytic) = 0.1061019215057971 y[1] (numeric) = 0.1061019215057887 absolute error = 8.409939411535561e-15 relative error = 7.926283795978252e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.07 Order of pole (three term test) = 2.405e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.93999999999998 y[1] (analytic) = 0.1067965312486636 y[1] (numeric) = 0.106796531248655 absolute error = 8.618106228652778e-15 relative error = 8.069649948261422e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.06 Order of pole (three term test) = 4.362e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.94999999999998 y[1] (analytic) = 0.1074979844127908 y[1] (numeric) = 0.107497984412782 absolute error = 8.881784197001252e-15 relative error = 8.262279749260525e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.05 Order of pole (three term test) = 3.954e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95999999999998 y[1] (analytic) = 0.1082063711911343 y[1] (numeric) = 0.1082063711911251 absolute error = 9.145462165349727e-15 relative error = 8.451870314729718e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.04 Order of pole (three term test) = 7.165e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999979 y[1] (analytic) = 0.1089217832674342 y[1] (numeric) = 0.1089217832674248 absolute error = 9.381384558082573e-15 relative error = 8.612955348930148e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.03 Order of pole (three term test) = 3.245e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999979 y[1] (analytic) = 0.1096443138458824 y[1] (numeric) = 0.1096443138458728 absolute error = 9.658940314238862e-15 relative error = 8.809339924198534e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.02 Order of pole (three term test) = 2.939e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999979 y[1] (analytic) = 0.110374057681481 y[1] (numeric) = 0.1103740576814711 absolute error = 9.936496070395151e-15 relative error = 9.002564804738837e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.01 Order of pole (three term test) = 2.661e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999979 y[1] (analytic) = 0.1111111111111095 y[1] (numeric) = 0.1111111111110993 absolute error = 1.022792961435925e-14 relative error = 9.20513665292346e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 3 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 7.224e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = m1 * 2.0 / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 102 %