##############ECHO OF PROBLEM################# ##############temp/lin_sin_cospostode.ode################# diff ( y , x , 1 ) = sin(2.0 * x + 3.0) + cos(1.5 * x - 2.0); ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(-cos(2.0*x + 3.0)/2.0 + sin(1.5*x -2.0)/1.5); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 2.040816326530612e-17 est_needed_step_err = 2.040816326530612e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.299937886655786e-176 estimated_step_error = 8.299937886655786e-176 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.569994016336442e-168 estimated_step_error = 5.569994016336442e-168 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.737959692985801e-160 estimated_step_error = 3.737959692985801e-160 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.508502264936159e-152 estimated_step_error = 2.508502264936159e-152 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.683427344147208e-144 estimated_step_error = 1.683427344147208e-144 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.129728927642204e-136 estimated_step_error = 1.129728927642204e-136 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.581481968973217e-129 estimated_step_error = 7.581481968973217e-129 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.08784571606871e-121 estimated_step_error = 5.08784571606871e-121 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.414394512191318e-113 estimated_step_error = 3.414394512191318e-113 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.291360094330636e-105 estimated_step_error = 2.291360094330636e-105 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.537704017003661e-97 estimated_step_error = 1.537704017003661e-97 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.03193339693312e-89 estimated_step_error = 1.03193339693312e-89 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.925156863935051e-82 estimated_step_error = 6.925156863935051e-82 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.647352426262668e-74 estimated_step_error = 4.647352426262668e-74 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.118729068230637e-66 estimated_step_error = 3.118729068230637e-66 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.092866900630374e-58 estimated_step_error = 2.092866900630374e-58 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.404393198856392e-50 estimated_step_error = 1.404393198856392e-50 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.423220115128899e-43 estimated_step_error = 9.423220115128899e-43 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = -0.14170274741949 y[1] (numeric) = -0.14170274741949 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1450699809230484 y[1] (numeric) = -0.1450699809230483 absolute error = 5.551115123125783e-17 relative error = 3.826508480807165e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1484918009250557 y[1] (numeric) = -0.1484918009250557 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1519672830296706 y[1] (numeric) = -0.1519672830296706 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1554954559396129 y[1] (numeric) = -0.1554954559396129 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1590753017504311 y[1] (numeric) = -0.159075301750431 absolute error = 2.775557561562891e-17 relative error = 1.744807352883346e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = -0.1627057562691551 y[1] (numeric) = -0.162705756269155 absolute error = 2.775557561562891e-17 relative error = 1.705875455918991e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = -0.1663857093572294 y[1] (numeric) = -0.1663857093572294 absolute error = 2.775557561562891e-17 relative error = 1.668146604828772e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = -0.1701140052976061 y[1] (numeric) = -0.170114005297606 absolute error = 5.551115123125783e-17 relative error = 3.263173489692622e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1738894431858688 y[1] (numeric) = -0.1738894431858688 absolute error = 2.775557561562891e-17 relative error = 1.596162199792729e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1777107773452486 y[1] (numeric) = -0.1777107773452485 absolute error = 1.110223024625157e-16 relative error = 6.247359002140114e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1815767177653774 y[1] (numeric) = -0.1815767177653773 absolute error = 5.551115123125783e-17 relative error = 3.057173403860402e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1854859305646203 y[1] (numeric) = -0.1854859305646202 absolute error = 1.110223024625157e-16 relative error = 5.985483757423707e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1894370384758114 y[1] (numeric) = -0.1894370384758114 absolute error = 2.775557561562891e-17 relative error = 1.465160975854937e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1934286213552113 y[1] (numeric) = -0.1934286213552112 absolute error = 1.110223024625157e-16 relative error = 5.739703963387863e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.1974592167144896 y[1] (numeric) = -0.1974592167144895 absolute error = 5.551115123125783e-17 relative error = 2.81127172258171e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2015273202755322 y[1] (numeric) = -0.201527320275532 absolute error = 1.387778780781446e-16 relative error = 6.886305930550989e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2056313865478527 y[1] (numeric) = -0.2056313865478526 absolute error = 2.775557561562891e-17 relative error = 1.349773304629733e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2097698294283878 y[1] (numeric) = -0.2097698294283876 absolute error = 1.387778780781446e-16 relative error = 6.61572154853285e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2139410228234359 y[1] (numeric) = -0.2139410228234359 absolute error = 2.775557561562891e-17 relative error = 1.297347056180778e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2181433012924979 y[1] (numeric) = -0.2181433012924978 absolute error = 1.387778780781446e-16 relative error = 6.361775826068752e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2223749607137592 y[1] (numeric) = -0.2223749607137592 absolute error = 5.551115123125783e-17 relative error = 2.496286050060812e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2266342589709518 y[1] (numeric) = -0.2266342589709517 absolute error = 1.110223024625157e-16 relative error = 4.898743154129475e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2309194166613155 y[1] (numeric) = -0.2309194166613155 absolute error = 2.775557561562891e-17 relative error = 1.201959368204078e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2352286178243782 y[1] (numeric) = -0.2352286178243781 absolute error = 1.665334536937735e-16 relative error = 7.079642572151124e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2395600106912533 y[1] (numeric) = -0.2395600106912532 absolute error = 2.775557561562891e-17 relative error = 1.158606377397457e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2439117084541567 y[1] (numeric) = -0.2439117084541565 absolute error = 1.387778780781446e-16 relative error = 5.689676766961269e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2482817900558217 y[1] (numeric) = -0.2482817900558217 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2526683009984959 y[1] (numeric) = -0.2526683009984957 absolute error = 1.665334536937735e-16 relative error = 6.590991154634979e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.2570692541721781 y[1] (numeric) = -0.2570692541721781 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.449 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2614826307017653 y[1] (numeric) = -0.2614826307017651 absolute error = 1.110223024625157e-16 relative error = 4.245876759177265e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.764 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2659063808127456 y[1] (numeric) = -0.2659063808127456 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.09 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.270338424715091 y[1] (numeric) = -0.2703384247150909 absolute error = 1.110223024625157e-16 relative error = 4.10678957604794e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.427 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2747766535049706 y[1] (numeric) = -0.2747766535049706 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.775 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2792189300839172 y[1] (numeric) = -0.2792189300839171 absolute error = 1.665334536937735e-16 relative error = 5.96426086310563e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.135 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2836630900950547 y[1] (numeric) = -0.2836630900950547 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.509 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2881069428760012 y[1] (numeric) = -0.288106942876001 absolute error = 1.665334536937735e-16 relative error = 5.780265204002671e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.555 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2925482724280384 y[1] (numeric) = -0.2925482724280384 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.18 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.2969848384011488 y[1] (numeric) = -0.2969848384011486 absolute error = 1.110223024625157e-16 relative error = 3.738315499882643e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.818 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3014143770944935 y[1] (numeric) = -0.3014143770944936 absolute error = 1.110223024625157e-16 relative error = 3.683377798123747e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.47 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3058346024719184 y[1] (numeric) = -0.3058346024719183 absolute error = 5.551115123125783e-17 relative error = 1.815070982242921e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.135 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3102432071920455 y[1] (numeric) = -0.3102432071920456 absolute error = 1.110223024625157e-16 relative error = 3.578557076796562e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.81 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3146378636525246 y[1] (numeric) = -0.3146378636525245 absolute error = 5.551115123125783e-17 relative error = 1.764287062810802e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.496 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3190162250479869 y[1] (numeric) = -0.3190162250479871 absolute error = 1.665334536937735e-16 relative error = 5.22021892989058e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.192 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3233759264412623 y[1] (numeric) = -0.3233759264412622 absolute error = 1.110223024625157e-16 relative error = 3.433227194253794e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.897 Order of pole (ratio test) Not computed NO 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] (analytic) = -0.3277145858473876 y[1] (numeric) = -0.3277145858473877 absolute error = 1.110223024625157e-16 relative error = 3.387774217477683e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3320298053299565 y[1] (numeric) = -0.3320298053299564 absolute error = 1.110223024625157e-16 relative error = 3.343745069879695e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3363191721093251 y[1] (numeric) = -0.3363191721093252 absolute error = 1.110223024625157e-16 relative error = 3.301099421903499e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.340580259682211 y[1] (numeric) = -0.3405802596822109 absolute error = 1.110223024625157e-16 relative error = 3.259798514632306e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3448106289521886 y[1] (numeric) = -0.3448106289521887 absolute error = 1.110223024625157e-16 relative error = 3.219805108673433e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3490078293706074 y[1] (numeric) = -0.3490078293706073 absolute error = 1.110223024625157e-16 relative error = 3.181083434796598e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3531694000874246 y[1] (numeric) = -0.3531694000874247 absolute error = 5.551115123125783e-17 relative error = 1.571799573165637e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3572928711114689 y[1] (numeric) = -0.3572928711114687 absolute error = 1.665334536937735e-16 relative error = 4.660978909982731e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3613757644796157 y[1] (numeric) = -0.3613757644796157 absolute error = 5.551115123125783e-17 relative error = 1.536106089216978e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3654155954343813 y[1] (numeric) = -0.3654155954343811 absolute error = 2.220446049250313e-16 relative error = 6.076495029203111e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.369409873609408 y[1] (numeric) = -0.369409873609408 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3733561042223368 y[1] (numeric) = -0.3733561042223366 absolute error = 2.220446049250313e-16 relative error = 5.94726060224803e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3772517892745329 y[1] (numeric) = -0.3772517892745329 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3810944287571523 y[1] (numeric) = -0.381094428757152 absolute error = 2.775557561562891e-16 relative error = 7.283122901100139e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3848815218630062 y[1] (numeric) = -0.3848815218630062 absolute error = 5.551115123125783e-17 relative error = 1.442291928242175e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3886105682037063 y[1] (numeric) = -0.388610568203706 absolute error = 2.775557561562891e-16 relative error = 7.14225960038217e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3922790690315386 y[1] (numeric) = -0.3922790690315386 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3958845284655446 y[1] (numeric) = -0.3958845284655443 absolute error = 2.775557561562891e-16 relative error = 7.01102812055071e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.3994244547212508 y[1] (numeric) = -0.3994244547212508 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.40289636134352 y[1] (numeric) = -0.4028963613435197 absolute error = 2.775557561562891e-16 relative error = 6.889011239285872e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4062977684419616 y[1] (numeric) = -0.4062977684419615 absolute error = 5.551115123125783e-17 relative error = 1.366267686975677e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4096262039283677 y[1] (numeric) = -0.4096262039283674 absolute error = 2.775557561562891e-16 relative error = 6.775830098135664e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4128792047556107 y[1] (numeric) = -0.4128792047556106 absolute error = 5.551115123125783e-17 relative error = 1.344488910845381e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4160543181574645 y[1] (numeric) = -0.4160543181574642 absolute error = 2.775557561562891e-16 relative error = 6.671142301454069e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4191491028887819 y[1] (numeric) = -0.4191491028887819 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4221611304654883 y[1] (numeric) = -0.4221611304654879 absolute error = 3.33066907387547e-16 relative error = 7.889568303465003e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4250879864038214 y[1] (numeric) = -0.4250879864038214 absolute error = 5.551115123125783e-17 relative error = 1.305874383815774e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4279272714582777 y[1] (numeric) = -0.4279272714582774 absolute error = 3.33066907387547e-16 relative error = 7.783259670563447e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4306766028576903 y[1] (numeric) = -0.4306766028576902 absolute error = 5.551115123125783e-17 relative error = 1.288928882203534e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4333336155389015 y[1] (numeric) = -0.4333336155389011 absolute error = 3.885780586188048e-16 relative error = 8.967180128307427e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4358959633774545 y[1] (numeric) = -0.4358959633774543 absolute error = 1.110223024625157e-16 relative error = 2.54699083704013e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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] (analytic) = -0.4383613204147655 y[1] (numeric) = -0.4383613204147651 absolute error = 3.885780586188048e-16 relative error = 8.864332698221249e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003908 Order of pole (three term test) = -0.8944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = -0.4407273820812037 y[1] (numeric) = -0.4407273820812035 absolute error = 1.110223024625157e-16 relative error = 2.519069769122262e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01354 Order of pole (three term test) = -0.912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = -0.44299186641454 y[1] (numeric) = -0.4429918664145396 absolute error = 3.885780586188048e-16 relative error = 8.771674788610764e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02316 Order of pole (three term test) = -0.9488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = -0.4451525152731952 y[1] (numeric) = -0.4451525152731951 absolute error = 1.110223024625157e-16 relative error = 2.494028420672407e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03273 Order of pole (three term test) = -1.005 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = -0.4472070955437499 y[1] (numeric) = -0.4472070955437495 absolute error = 3.885780586188048e-16 relative error = 8.688995825219202e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04226 Order of pole (three term test) = -1.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = -0.4491534003421486 y[1] (numeric) = -0.4491534003421485 absolute error = 1.110223024625157e-16 relative error = 2.471812578463014e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05172 Order of pole (three term test) = -1.174 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = -0.4509892502080651 y[1] (numeric) = -0.4509892502080647 absolute error = 3.885780586188048e-16 relative error = 8.616126846472132e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06109 Order of pole (three term test) = -1.288 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = -0.4527124942918647 y[1] (numeric) = -0.4527124942918646 absolute error = 1.110223024625157e-16 relative error = 2.452379906946843e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07036 Order of pole (three term test) = -1.419 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = -0.4543210115336337 y[1] (numeric) = -0.4543210115336332 absolute error = 4.440892098500626e-16 relative error = 9.774789159562927e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07953 Order of pole (three term test) = -1.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = -0.4558127118337161 y[1] (numeric) = -0.4558127118337159 absolute error = 1.665334536937735e-16 relative error = 3.653550007936728e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08856 Order of pole (three term test) = -1.739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = -0.457185537214235 y[1] (numeric) = -0.4571855372142346 absolute error = 4.440892098500626e-16 relative error = 9.713544583147311e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09746 Order of pole (three term test) = -1.925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = -0.4584374629710423 y[1] (numeric) = -0.4584374629710421 absolute error = 1.665334536937735e-16 relative error = 3.632631866830935e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1062 Order of pole (three term test) = -2.129 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = -0.4595664988155791 y[1] (numeric) = -0.4595664988155787 absolute error = 4.440892098500626e-16 relative error = 9.663219816818558e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1148 Order of pole (three term test) = -2.351 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = -0.4605706900061 y[1] (numeric) = -0.4605706900060999 absolute error = 1.110223024625157e-16 relative error = 2.410537727901123e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1231 Order of pole (three term test) = -2.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = -0.4614481184677487 y[1] (numeric) = -0.4614481184677482 absolute error = 4.996003610813204e-16 relative error = 1.082679376265001e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1313 Order of pole (three term test) = -2.845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = -0.4621969039009438 y[1] (numeric) = -0.4621969039009436 absolute error = 2.220446049250313e-16 relative error = 4.80411277208856e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1393 Order of pole (three term test) = -3.117 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = -0.4628152048775729 y[1] (numeric) = -0.4628152048775729 absolute error = 5.551115123125783e-17 relative error = 1.199423671612993e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1471 Order of pole (three term test) = -3.404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = -0.4633012199244637 y[1] (numeric) = -0.4633012199244634 absolute error = 2.220446049250313e-16 relative error = 4.792661779764649e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1546 Order of pole (three term test) = -3.707 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = -0.4636531885936281 y[1] (numeric) = -0.4636531885936276 absolute error = 4.996003610813204e-16 relative error = 1.077530303623553e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1618 Order of pole (three term test) = -4.024 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = -0.4638693925187735 y[1] (numeric) = -0.4638693925187732 absolute error = 2.775557561562891e-16 relative error = 5.983489331968719e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1688 Order of pole (three term test) = -4.356 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = -0.4639481564575762 y[1] (numeric) = -0.4639481564575761 absolute error = 5.551115123125783e-17 relative error = 1.196494704389106e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1756 Order of pole (three term test) = -4.701 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = -0.4638878493192211 y[1] (numeric) = -0.4638878493192208 absolute error = 2.775557561562891e-16 relative error = 5.983251265658635e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.182 Order of pole (three term test) = -5.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = -0.4636868851767146 y[1] (numeric) = -0.4636868851767141 absolute error = 4.440892098500626e-16 relative error = 9.577351097191737e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1882 Order of pole (three term test) = -5.431 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = -0.4633437242634904 y[1] (numeric) = -0.4633437242634901 absolute error = 2.775557561562891e-16 relative error = 5.990277662603045e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1941 Order of pole (three term test) = -5.815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = -0.4628568739538225 y[1] (numeric) = -0.4628568739538224 absolute error = 1.110223024625157e-16 relative error = 2.398631384992501e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1996 Order of pole (three term test) = -6.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = -0.4622248897265722 y[1] (numeric) = -0.4622248897265719 absolute error = 3.33066907387547e-16 relative error = 7.205732854078275e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2048 Order of pole (three term test) = -6.616 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = -0.4614463761118023 y[1] (numeric) = -0.4614463761118018 absolute error = 5.551115123125783e-16 relative error = 1.202981627009423e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2097 Order of pole (three term test) = -7.031 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = -0.4605199876197975 y[1] (numeric) = -0.4605199876197971 absolute error = 3.885780586188048e-16 relative error = 8.437810932532477e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2143 Order of pole (three term test) = -7.457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = -0.4594444296520347 y[1] (numeric) = -0.4594444296520346 absolute error = 1.110223024625157e-16 relative error = 2.416446806126251e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2185 Order of pole (three term test) = -7.891 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = -0.4582184593936556 y[1] (numeric) = -0.4582184593936552 absolute error = 3.33066907387547e-16 relative error = 7.268736135778614e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2224 Order of pole (three term test) = -8.333 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = -0.4568408866869968 y[1] (numeric) = -0.4568408866869963 absolute error = 4.996003610813204e-16 relative error = 1.093598177484539e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2259 Order of pole (three term test) = -8.783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = -0.4553105748857512 y[1] (numeric) = -0.4553105748857509 absolute error = 3.33066907387547e-16 relative error = 7.315158613900451e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.96 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2291 Order of pole (three term test) = -9.239 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = -0.4536264416893271 y[1] (numeric) = -0.4536264416893269 absolute error = 1.665334536937735e-16 relative error = 3.671158433216431e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.257 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2319 Order of pole (three term test) = -9.702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = -0.4517874599569874 y[1] (numeric) = -0.451787459956987 absolute error = 3.33066907387547e-16 relative error = 7.37220345644956e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.562 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2343 Order of pole (three term test) = -10.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = -0.449792658501358 y[1] (numeric) = -0.4497926585013575 absolute error = 4.996003610813204e-16 relative error = 1.110734805556663e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.877 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2363 Order of pole (three term test) = -10.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = -0.4476411228609031 y[1] (numeric) = -0.4476411228609029 absolute error = 2.775557561562891e-16 relative error = 6.200407915662719e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.203 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.238 Order of pole (three term test) = -11.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = -0.4453319960509716 y[1] (numeric) = -0.4453319960509714 absolute error = 1.665334536937735e-16 relative error = 3.739534890161193e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.541 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2393 Order of pole (three term test) = -11.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = -0.442864479293024 y[1] (numeric) = -0.4428644792930236 absolute error = 3.885780586188048e-16 relative error = 8.774197904494836e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.89 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2402 Order of pole (three term test) = -12.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = -0.4402378327216656 y[1] (numeric) = -0.4402378327216651 absolute error = 4.996003610813204e-16 relative error = 1.134841951207737e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.254 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2407 Order of pole (three term test) = -12.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = -0.4374513760691148 y[1] (numeric) = -0.4374513760691146 absolute error = 2.775557561562891e-16 relative error = 6.34483673706485e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.631 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2408 Order of pole (three term test) = -13.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = -0.4345044893267454 y[1] (numeric) = -0.4345044893267452 absolute error = 1.665334536937735e-16 relative error = 3.832721129114528e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.482 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2406 Order of pole (three term test) = -13.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = -0.4313966133833475 y[1] (numeric) = -0.4313966133833472 absolute error = 2.775557561562891e-16 relative error = 6.433888156410899e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.108 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2399 Order of pole (three term test) = -14.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = -0.4281272506397686 y[1] (numeric) = -0.4281272506397683 absolute error = 3.885780586188048e-16 relative error = 9.076228108305093e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.748 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2389 Order of pole (three term test) = -14.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = -0.4246959655995989 y[1] (numeric) = -0.4246959655995987 absolute error = 2.220446049250313e-16 relative error = 5.228319148535867e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.401 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2375 Order of pole (three term test) = -14.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = -0.4211023854355767 y[1] (numeric) = -0.4211023854355765 absolute error = 1.110223024625157e-16 relative error = 2.636468144146874e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.065 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2357 Order of pole (three term test) = -15.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = -0.4173462005313976 y[1] (numeric) = -0.4173462005313973 absolute error = 2.775557561562891e-16 relative error = 6.650491984900871e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.739 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2335 Order of pole (three term test) = -15.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = -0.4134271649986248 y[1] (numeric) = -0.4134271649986244 absolute error = 3.33066907387547e-16 relative error = 8.056241475778566e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.424 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.231 Order of pole (three term test) = -16.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = -0.4093450971684041 y[1] (numeric) = -0.4093450971684039 absolute error = 2.220446049250313e-16 relative error = 5.424386574091112e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2281 Order of pole (three term test) = -16.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = -0.4050998800576994 y[1] (numeric) = -0.4050998800576993 absolute error = 1.110223024625157e-16 relative error = 2.740615535277435e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2248 Order of pole (three term test) = -17.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = -0.4006914618097712 y[1] (numeric) = -0.400691461809771 absolute error = 2.220446049250313e-16 relative error = 5.541535722327102e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2212 Order of pole (three term test) = -17.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = -0.3961198561086354 y[1] (numeric) = -0.3961198561086351 absolute error = 2.775557561562891e-16 relative error = 7.006862995531581e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2172 Order of pole (three term test) = -18.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = -0.3913851425672486 y[1] (numeric) = -0.3913851425672484 absolute error = 1.665334536937735e-16 relative error = 4.254976379568608e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2129 Order of pole (three term test) = -18.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = -0.3864874670891751 y[1] (numeric) = -0.386487467089175 absolute error = 1.110223024625157e-16 relative error = 2.872597740327224e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2082 Order of pole (three term test) = -19.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = -0.3814270422035007 y[1] (numeric) = -0.3814270422035004 absolute error = 2.220446049250313e-16 relative error = 5.821417475863315e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2032 Order of pole (three term test) = -19.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = -0.3762041473727736 y[1] (numeric) = -0.3762041473727734 absolute error = 2.775557561562891e-16 relative error = 7.377796286792776e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1979 Order of pole (three term test) = -19.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = -0.3708191292737605 y[1] (numeric) = -0.3708191292737604 absolute error = 1.665334536937735e-16 relative error = 4.490961780206023e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1922 Order of pole (three term test) = -20.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = -0.3652724020508155 y[1] (numeric) = -0.3652724020508155 absolute error = 5.551115123125783e-17 relative error = 1.519719281270401e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1863 Order of pole (three term test) = -20.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = -0.3595644475416733 y[1] (numeric) = -0.3595644475416732 absolute error = 1.665334536937735e-16 relative error = 4.631532812333242e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.18 Order of pole (three term test) = -20.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = -0.3536958154754884 y[1] (numeric) = -0.3536958154754881 absolute error = 2.775557561562891e-16 relative error = 7.847301099199013e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1735 Order of pole (three term test) = -21.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = -0.3476671236429533 y[1] (numeric) = -0.3476671236429531 absolute error = 1.665334536937735e-16 relative error = 4.790025929078062e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1667 Order of pole (three term test) = -21.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = -0.34147905803834 y[1] (numeric) = -0.3414790580383399 absolute error = 5.551115123125783e-17 relative error = 1.625609240875475e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1596 Order of pole (three term test) = -22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = -0.3351323729733194 y[1] (numeric) = -0.3351323729733193 absolute error = 1.110223024625157e-16 relative error = 3.312789554692002e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1522 Order of pole (three term test) = -22.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = -0.328627891162426 y[1] (numeric) = -0.3286278911624259 absolute error = 1.665334536937735e-16 relative error = 5.067538640883755e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1447 Order of pole (three term test) = -22.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = -0.3219665037800484 y[1] (numeric) = -0.3219665037800483 absolute error = 1.110223024625157e-16 relative error = 3.448256298685052e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1368 Order of pole (three term test) = -22.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = -0.3151491704888336 y[1] (numeric) = -0.3151491704888335 absolute error = 5.551115123125783e-17 relative error = 1.761424634091642e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1288 Order of pole (three term test) = -23.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = -0.3081769194394084 y[1] (numeric) = -0.3081769194394084 absolute error = 5.551115123125783e-17 relative error = 1.801275427512086e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1206 Order of pole (three term test) = -23.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = -0.3010508472413314 y[1] (numeric) = -0.3010508472413312 absolute error = 1.665334536937735e-16 relative error = 5.531738416277409e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1121 Order of pole (three term test) = -23.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = -0.2937721189052004 y[1] (numeric) = -0.2937721189052003 absolute error = 5.551115123125783e-17 relative error = 1.889599034725659e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1035 Order of pole (three term test) = -23.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = -0.2863419677558557 y[1] (numeric) = -0.2863419677558556 absolute error = 5.551115123125783e-17 relative error = 1.938631338825904e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09476 Order of pole (three term test) = -24.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = -0.2787616953166241 y[1] (numeric) = -0.2787616953166241 absolute error = 5.551115123125783e-17 relative error = 1.991347884730251e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08584 Order of pole (three term test) = -24.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = -0.2710326711645689 y[1] (numeric) = -0.2710326711645689 absolute error = 5.551115123125783e-17 relative error = 2.048135045592046e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07677 Order of pole (three term test) = -24.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = -0.263156332756717 y[1] (numeric) = -0.2631563327567169 absolute error = 5.551115123125783e-17 relative error = 2.109436267398392e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06759 Order of pole (three term test) = -24.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = -0.2551341852272495 y[1] (numeric) = -0.2551341852272495 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05829 Order of pole (three term test) = -24.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = -0.2469678011556531 y[1] (numeric) = -0.2469678011556531 absolute error = 2.775557561562891e-17 relative error = 1.123854020068623e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04891 Order of pole (three term test) = -24.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = -0.2386588203058408 y[1] (numeric) = -0.2386588203058408 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03944 Order of pole (three term test) = -24.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = -0.2302089493362646 y[1] (numeric) = -0.2302089493362646 absolute error = 5.551115123125783e-17 relative error = 2.411337673505172e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02991 Order of pole (three term test) = -24.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = -0.2216199614810536 y[1] (numeric) = -0.2216199614810536 absolute error = 2.775557561562891e-17 relative error = 1.252395110537087e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02034 Order of pole (three term test) = -24.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = -0.212893696202222 y[1] (numeric) = -0.212893696202222 absolute error = 2.775557561562891e-17 relative error = 1.303729331152419e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01073 Order of pole (three term test) = -25.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = -0.2040320588130067 y[1] (numeric) = -0.2040320588130067 absolute error = 5.551115123125783e-17 relative error = 2.720707302283963e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.001101 Order of pole (three term test) = -25.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = -0.1950370200724028 y[1] (numeric) = -0.1950370200724028 absolute error = 5.551115123125783e-17 relative error = 2.846185365765466e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = -0.1859106157509797 y[1] (numeric) = -0.1859106157509798 absolute error = 8.326672684688674e-17 relative error = 4.478858106651607e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = -0.1766549461680715 y[1] (numeric) = -0.1766549461680716 absolute error = 8.326672684688674e-17 relative error = 4.713523660280977e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = -0.1672721757004478 y[1] (numeric) = -0.1672721757004479 absolute error = 8.326672684688674e-17 relative error = 4.97791856285778e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = -0.1577645322625834 y[1] (numeric) = -0.1577645322625834 absolute error = 8.326672684688674e-17 relative error = 5.277911686024433e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = -0.1481343067586556 y[1] (numeric) = -0.1481343067586557 absolute error = 1.110223024625157e-16 relative error = 7.494705641914276e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = -0.1383838525064136 y[1] (numeric) = -0.1383838525064137 absolute error = 1.387778780781446e-16 relative error = 1.002847337782511e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = -0.1285155846330703 y[1] (numeric) = -0.1285155846330704 absolute error = 1.387778780781446e-16 relative error = 1.079852521189352e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = -0.1185319794433862 y[1] (numeric) = -0.1185319794433864 absolute error = 1.52655665885959e-16 relative error = 1.287885907270039e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = -0.1084355737601198 y[1] (numeric) = -0.1084355737601199 absolute error = 8.326672684688674e-17 relative error = 7.678912367917986e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = -0.09822896423703562 y[1] (numeric) = -0.09822896423703578 absolute error = 1.665334536937735e-16 relative error = 1.695359968287081e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = -0.08791480664467045 y[1] (numeric) = -0.08791480664467072 absolute error = 2.636779683484747e-16 relative error = 2.999244136590037e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = -0.07749581512907068 y[1] (numeric) = -0.07749581512907086 absolute error = 1.804112415015879e-16 relative error = 2.328012695925706e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = -0.06697476144372366 y[1] (numeric) = -0.06697476144372382 absolute error = 1.52655665885959e-16 relative error = 2.279301375552188e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = -0.05635447415492156 y[1] (numeric) = -0.05635447415492178 absolute error = 2.220446049250313e-16 relative error = 3.940141546075267e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = -0.04563783782080249 y[1] (numeric) = -0.04563783782080278 absolute error = 2.914335439641036e-16 relative error = 6.385787712126522e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = -0.03482779214432834 y[1] (numeric) = -0.03482779214432855 absolute error = 2.151057110211241e-16 relative error = 6.176266073075028e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = -0.02392733110046864 y[1] (numeric) = -0.02392733110046881 absolute error = 1.734723475976807e-16 relative error = 7.2499664450367e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = -0.01293950203787262 y[1] (numeric) = -0.01293950203787289 absolute error = 2.706168622523819e-16 relative error = 2.091400901366324e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = -0.001867404755320354 y[1] (numeric) = -0.001867404755320705 absolute error = 3.50414142147315e-16 relative error = 1.876476651079328e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 0.009285809446744226 y[1] (numeric) = 0.009285809446743952 absolute error = 2.740863092043355e-16 relative error = 2.951668465482405e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 0.02051693873928421 y[1] (numeric) = 0.020516938739284 absolute error = 2.081668171172169e-16 relative error = 1.014609536843991e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 0.03182273176201936 y[1] (numeric) = 0.03182273176201907 absolute error = 2.914335439641036e-16 relative error = 9.158030370979385e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 0.04319988864471999 y[1] (numeric) = 0.04319988864471957 absolute error = 4.232725281383409e-16 relative error = 9.798000444384814e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 0.05464506205209967 y[1] (numeric) = 0.05464506205209933 absolute error = 3.33066907387547e-16 relative error = 6.095096151048278e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 0.0661548582519508 y[1] (numeric) = 0.06615485825195057 absolute error = 2.359223927328458e-16 relative error = 3.566214167285118e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 0.07772583820615539 y[1] (numeric) = 0.07772583820615503 absolute error = 3.608224830031759e-16 relative error = 4.642246276536148e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 0.08935451868419518 y[1] (numeric) = 0.08935451868419472 absolute error = 4.579669976578771e-16 relative error = 5.12528078491996e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 0.1010373733987763 y[1] (numeric) = 0.1010373733987759 absolute error = 3.747002708109903e-16 relative error = 3.708531389984931e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0.1127708341631703 y[1] (numeric) = 0.11277083416317 absolute error = 2.636779683484747e-16 relative error = 2.338175205540769e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0.124551292069866 y[1] (numeric) = 0.1245512920698656 absolute error = 3.747002708109903e-16 relative error = 3.008401314703386e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0.1363750986901162 y[1] (numeric) = 0.1363750986901157 absolute error = 5.551115123125783e-16 relative error = 4.070475604743301e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.469 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0.148238567293956 y[1] (numeric) = 0.1482385672939557 absolute error = 3.885780586188048e-16 relative error = 2.621302038411213e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.785 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0.160137974090258 y[1] (numeric) = 0.1601379740902577 absolute error = 3.05311331771918e-16 relative error = 1.906551731445263e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.111 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0.1720695594863787 y[1] (numeric) = 0.1720695594863783 absolute error = 4.718447854656915e-16 relative error = 2.742174658168073e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.448 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 0.1840295293669469 y[1] (numeric) = 0.1840295293669467 absolute error = 1.942890293094024e-16 relative error = 1.055749204911558e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.796 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 0.196014056391334 y[1] (numeric) = 0.1960140563913341 absolute error = 2.775557561562891e-17 relative error = 1.415999246514038e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.157 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 0.2080192813093321 y[1] (numeric) = 0.2080192813093323 absolute error = 2.775557561562891e-16 relative error = 1.3342789880307e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.532 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 0.2200413142945665 y[1] (numeric) = 0.2200413142945671 absolute error = 5.828670879282072e-16 relative error = 2.648898411631601e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.538 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0.2320762362951559 y[1] (numeric) = 0.2320762362951567 absolute error = 8.049116928532385e-16 relative error = 3.468307249819181e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.163 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0.2441201004011232 y[1] (numeric) = 0.2441201004011242 absolute error = 1.054711873393899e-15 relative error = 4.320463049379633e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.803 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0.2561689332280591 y[1] (numeric) = 0.2561689332280604 absolute error = 1.332267629550188e-15 relative error = 5.200738484412988e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0.2682187363165262 y[1] (numeric) = 0.2682187363165278 absolute error = 1.554312234475219e-15 relative error = 5.794942798630473e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.12 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 0.2802654875466875 y[1] (numeric) = 0.2802654875466893 absolute error = 1.887379141862766e-15 relative error = 6.734254575488397e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.796 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 0.2923051425676347 y[1] (numeric) = 0.2923051425676368 absolute error = 2.109423746787797e-15 relative error = 7.216512608223136e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.483 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 0.3043336362408857 y[1] (numeric) = 0.3043336362408882 absolute error = 2.442490654175344e-15 relative error = 8.025700623647357e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.179 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 0.3163468840975122 y[1] (numeric) = 0.3163468840975148 absolute error = 2.664535259100376e-15 relative error = 8.422827576449426e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.884 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 0.3283407838083525 y[1] (numeric) = 0.3283407838083555 absolute error = 2.942091015256665e-15 relative error = 8.96047996575996e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0.3403112166667602 y[1] (numeric) = 0.3403112166667634 absolute error = 3.219646771412954e-15 relative error = 9.460889367527662e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 0.3522540490833282 y[1] (numeric) = 0.3522540490833317 absolute error = 3.497202527569243e-15 relative error = 9.92806906455731e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 0.3641651340920266 y[1] (numeric) = 0.3641651340920303 absolute error = 3.719247132494274e-15 relative error = 1.021307858526182e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 0.376040312867185 y[1] (numeric) = 0.376040312867189 absolute error = 3.996802888650564e-15 relative error = 1.062865536457047e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 0.3878754162507437 y[1] (numeric) = 0.387875416250748 absolute error = 4.274358644806853e-15 relative error = 1.10199266716189e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 0.3996662662891938 y[1] (numeric) = 0.3996662662891984 absolute error = 4.551914400963142e-15 relative error = 1.138928847617434e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 0.4114086777796212 y[1] (numeric) = 0.411408677779626 absolute error = 4.773959005888173e-15 relative error = 1.160393366433907e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 0.4230984598242633 y[1] (numeric) = 0.4230984598242682 absolute error = 4.996003610813204e-15 relative error = 1.180813471381656e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 0.4347314173929848 y[1] (numeric) = 0.43473141739299 absolute error = 5.218048215738236e-15 relative error = 1.200292412043749e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 0.4463033528930725 y[1] (numeric) = 0.4463033528930781 absolute error = 5.551115123125783e-15 relative error = 1.243798660068714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 0.4578100677457453 y[1] (numeric) = 0.4578100677457511 absolute error = 5.773159728050814e-15 relative error = 1.261038176044888e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 0.469247363968772 y[1] (numeric) = 0.469247363968778 absolute error = 6.050715484207103e-15 relative error = 1.289451140019568e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 0.4806110457645864 y[1] (numeric) = 0.4806110457645926 absolute error = 6.272760089132134e-15 relative error = 1.305163529721426e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 0.491896921113284 y[1] (numeric) = 0.4918969211132905 absolute error = 6.494804694057166e-15 relative error = 1.320358883189962e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0.5031008033698829 y[1] (numeric) = 0.5031008033698896 absolute error = 6.661338147750939e-15 relative error = 1.324056352749149e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 0.5142185128652275 y[1] (numeric) = 0.5142185128652343 absolute error = 6.883382752675971e-15 relative error = 1.338610450705428e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 0.5252458785099111 y[1] (numeric) = 0.5252458785099182 absolute error = 7.105427357601002e-15 relative error = 1.352781173220939e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 0.5361787394005925 y[1] (numeric) = 0.5361787394005998 absolute error = 7.327471962526033e-15 relative error = 1.36660994255714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 0.5470129464280757 y[1] (numeric) = 0.5470129464280833 absolute error = 7.549516567451064e-15 relative error = 1.380134897491629e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0.5577443638865247 y[1] (numeric) = 0.5577443638865325 absolute error = 7.771561172376096e-15 relative error = 1.393391251544274e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 0.5683688710831785 y[1] (numeric) = 0.5683688710831866 absolute error = 8.104628079763643e-15 relative error = 1.425945102221751e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 0.5788823639479351 y[1] (numeric) = 0.5788823639479435 absolute error = 8.326672684688674e-15 relative error = 1.438404968481226e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 0.5892807566421673 y[1] (numeric) = 0.5892807566421758 absolute error = 8.548717289613705e-15 relative error = 1.450703623570861e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 0.5995599831661346 y[1] (numeric) = 0.5995599831661433 absolute error = 8.770761894538737e-15 relative error = 1.462866458869122e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 0.6097159989643556 y[1] (numeric) = 0.6097159989643646 absolute error = 8.992806499463768e-15 relative error = 1.474917258976092e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 0.6197447825283019 y[1] (numeric) = 0.6197447825283111 absolute error = 9.214851104388799e-15 relative error = 1.486878367381493e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 0.6296423369957764 y[1] (numeric) = 0.6296423369957858 absolute error = 9.325873406851315e-15 relative error = 1.48113823656586e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 0.6394046917463384 y[1] (numeric) = 0.639404691746348 absolute error = 9.547918011776346e-15 relative error = 1.49325116550195e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0.6490279039921383 y[1] (numeric) = 0.649027903992148 absolute error = 9.769962616701378e-15 relative error = 1.505322430146196e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 0.6585080603635248 y[1] (numeric) = 0.6585080603635348 absolute error = 9.992007221626409e-15 relative error = 1.51737052635474e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 0.667841278488788 y[1] (numeric) = 0.6678412784887983 absolute error = 1.021405182655144e-14 relative error = 1.529413073966334e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.003264 Order of pole (three term test) = -0.894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 0.6770237085674042 y[1] (numeric) = 0.6770237085674147 absolute error = 1.043609643147647e-14 relative error = 1.541466908678791e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0129 Order of pole (three term test) = -0.9102 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 0.6860515349361475 y[1] (numeric) = 0.686051534936158 absolute error = 1.054711873393899e-14 relative error = 1.537365372255983e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02252 Order of pole (three term test) = -0.9457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 0.6949209776274365 y[1] (numeric) = 0.6949209776274472 absolute error = 1.06581410364015e-14 relative error = 1.533719858737029e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0321 Order of pole (three term test) = -1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 0.7036282939192865 y[1] (numeric) = 0.7036282939192973 absolute error = 1.076916333886402e-14 relative error = 1.530518802602238e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04162 Order of pole (three term test) = -1.074 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 0.7121697798762356 y[1] (numeric) = 0.7121697798762466 absolute error = 1.099120794378905e-14 relative error = 1.543340963681323e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05109 Order of pole (three term test) = -1.167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 0.7205417718806228 y[1] (numeric) = 0.7205417718806341 absolute error = 1.121325254871408e-14 relative error = 1.556225188644838e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06047 Order of pole (three term test) = -1.279 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 0.7287406481535905 y[1] (numeric) = 0.7287406481536018 absolute error = 1.13242748511766e-14 relative error = 1.55395131036932e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06975 Order of pole (three term test) = -1.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 0.7367628302651927 y[1] (numeric) = 0.7367628302652038 absolute error = 1.110223024625157e-14 relative error = 1.506893370591917e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07892 Order of pole (three term test) = -1.559 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 0.7446047846329896 y[1] (numeric) = 0.7446047846330009 absolute error = 1.13242748511766e-14 relative error = 1.520843685789402e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08796 Order of pole (three term test) = -1.726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 0.7522630240085181 y[1] (numeric) = 0.7522630240085296 absolute error = 1.154631945610163e-14 relative error = 1.534877973208861e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09687 Order of pole (three term test) = -1.912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 0.7597341089510197 y[1] (numeric) = 0.7597341089510313 absolute error = 1.165734175856414e-14 relative error = 1.534397576891693e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1056 Order of pole (three term test) = -2.115 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 0.7670146492878255 y[1] (numeric) = 0.7670146492878372 absolute error = 1.176836406102666e-14 relative error = 1.534307600507188e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1142 Order of pole (three term test) = -2.335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 0.7741013055607923 y[1] (numeric) = 0.7741013055608043 absolute error = 1.199040866595169e-14 relative error = 1.548945671557203e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1226 Order of pole (three term test) = -2.573 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 0.7809907904581909 y[1] (numeric) = 0.780990790458203 absolute error = 1.210143096841421e-14 relative error = 1.54949726888771e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1308 Order of pole (three term test) = -2.827 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 0.7876798702314515 y[1] (numeric) = 0.7876798702314638 absolute error = 1.232347557333924e-14 relative error = 1.564528438402027e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1388 Order of pole (three term test) = -3.097 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 0.7941653660961796 y[1] (numeric) = 0.794165366096192 absolute error = 1.243449787580175e-14 relative error = 1.565731572622601e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1465 Order of pole (three term test) = -3.384 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 0.8004441556168539 y[1] (numeric) = 0.8004441556168664 absolute error = 1.254552017826427e-14 relative error = 1.56731985488684e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1541 Order of pole (three term test) = -3.685 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 0.8065131740746296 y[1] (numeric) = 0.8065131740746423 absolute error = 1.265654248072678e-14 relative error = 1.569291474407537e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1614 Order of pole (three term test) = -4.001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 0.8123694158176725 y[1] (numeric) = 0.8123694158176853 absolute error = 1.27675647831893e-14 relative error = 1.571645181932211e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1684 Order of pole (three term test) = -4.332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 0.818009935593455 y[1] (numeric) = 0.8180099355934679 absolute error = 1.287858708565182e-14 relative error = 1.574380276482654e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1751 Order of pole (three term test) = -4.677 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 0.8234318498624534 y[1] (numeric) = 0.8234318498624664 absolute error = 1.298960938811433e-14 relative error = 1.577496594318537e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1816 Order of pole (three term test) = -5.035 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 0.8286323380926889 y[1] (numeric) = 0.828632338092702 absolute error = 1.310063169057685e-14 relative error = 1.580994500013279e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1878 Order of pole (three term test) = -5.405 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 0.8336086440345636 y[1] (numeric) = 0.8336086440345768 absolute error = 1.321165399303936e-14 relative error = 1.584874879547383e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1937 Order of pole (three term test) = -5.788 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 0.838358076975449 y[1] (numeric) = 0.8383580769754622 absolute error = 1.321165399303936e-14 relative error = 1.575896309212306e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1993 Order of pole (three term test) = -6.182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 0.8428780129734892 y[1] (numeric) = 0.8428780129735025 absolute error = 1.332267629550188e-14 relative error = 1.580617371724099e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2045 Order of pole (three term test) = -6.587 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 0.8471658960700927 y[1] (numeric) = 0.8471658960701062 absolute error = 1.343369859796439e-14 relative error = 1.585722307789042e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2094 Order of pole (three term test) = -7.002 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 0.851219239480588 y[1] (numeric) = 0.8512192394806015 absolute error = 1.354472090042691e-14 relative error = 1.591214139930844e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.214 Order of pole (three term test) = -7.426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 0.8550356267625311 y[1] (numeric) = 0.8550356267625447 absolute error = 1.365574320288943e-14 relative error = 1.597096398730767e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2183 Order of pole (three term test) = -7.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 0.8586127129611579 y[1] (numeric) = 0.8586127129611716 absolute error = 1.365574320288943e-14 relative error = 1.59044269864045e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2222 Order of pole (three term test) = -8.302 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 0.8619482257314824 y[1] (numeric) = 0.8619482257314962 absolute error = 1.376676550535194e-14 relative error = 1.59716849508785e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2257 Order of pole (three term test) = -8.751 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 0.8650399664365521 y[1] (numeric) = 0.8650399664365659 absolute error = 1.376676550535194e-14 relative error = 1.591460052656618e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.969 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2289 Order of pole (three term test) = -9.207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 0.8678858112213762 y[1] (numeric) = 0.8678858112213901 absolute error = 1.387778780781446e-14 relative error = 1.599033839288632e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.265 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2317 Order of pole (three term test) = -9.668 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 0.8704837120620564 y[1] (numeric) = 0.8704837120620702 absolute error = 1.376676550535194e-14 relative error = 1.581507535935436e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.571 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2342 Order of pole (three term test) = -10.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 0.8728316977896521 y[1] (numeric) = 0.872831697789666 absolute error = 1.387778780781446e-14 relative error = 1.589972940139364e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.886 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2362 Order of pole (three term test) = -10.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 0.8749278750883287 y[1] (numeric) = 0.8749278750883426 absolute error = 1.387778780781446e-14 relative error = 1.586163637364213e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.212 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2379 Order of pole (three term test) = -11.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 0.8767704294673381 y[1] (numeric) = 0.8767704294673521 absolute error = 1.398881011027697e-14 relative error = 1.5954929181149e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.549 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2392 Order of pole (three term test) = -11.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 0.8783576262063979 y[1] (numeric) = 0.8783576262064119 absolute error = 1.398881011027697e-14 relative error = 1.592609854222392e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.899 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2402 Order of pole (three term test) = -12.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 0.8796878112740399 y[1] (numeric) = 0.8796878112740539 absolute error = 1.398881011027697e-14 relative error = 1.590201652335863e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.261 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2407 Order of pole (three term test) = -12.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 0.8807594122185102 y[1] (numeric) = 0.8807594122185242 absolute error = 1.398881011027697e-14 relative error = 1.588266888348216e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.639 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2409 Order of pole (three term test) = -13.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 0.8815709390308136 y[1] (numeric) = 0.8815709390308276 absolute error = 1.398881011027697e-14 relative error = 1.586804815237679e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.504 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2406 Order of pole (three term test) = -13.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 0.8821209849795044 y[1] (numeric) = 0.8821209849795184 absolute error = 1.398881011027697e-14 relative error = 1.585815364159146e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.13 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.24 Order of pole (three term test) = -13.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 0.8824082274168346 y[1] (numeric) = 0.8824082274168485 absolute error = 1.398881011027697e-14 relative error = 1.585299147904352e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.769 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.239 Order of pole (three term test) = -14.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 0.8824314285558844 y[1] (numeric) = 0.8824314285558984 absolute error = 1.398881011027697e-14 relative error = 1.585257466766559e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.421 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2376 Order of pole (three term test) = -14.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 0.8821894362183068 y[1] (numeric) = 0.8821894362183209 absolute error = 1.409983241273949e-14 relative error = 1.598277176519074e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.084 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2359 Order of pole (three term test) = -15.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 0.8816811845523309 y[1] (numeric) = 0.8816811845523449 absolute error = 1.398881011027697e-14 relative error = 1.586606400972447e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.759 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2337 Order of pole (three term test) = -15.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 0.8809056947206783 y[1] (numeric) = 0.8809056947206922 absolute error = 1.398881011027697e-14 relative error = 1.58800314200632e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.443 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2312 Order of pole (three term test) = -16.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 0.8798620755580598 y[1] (numeric) = 0.8798620755580738 absolute error = 1.398881011027697e-14 relative error = 1.589886699162986e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2284 Order of pole (three term test) = -16.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 0.878549524197929 y[1] (numeric) = 0.878549524197943 absolute error = 1.398881011027697e-14 relative error = 1.592261986943541e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2251 Order of pole (three term test) = -17.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 0.8769673266681796 y[1] (numeric) = 0.8769673266681934 absolute error = 1.387778780781446e-14 relative error = 1.582474897957679e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2215 Order of pole (three term test) = -17.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 0.8751148584554895 y[1] (numeric) = 0.8751148584555034 absolute error = 1.387778780781446e-14 relative error = 1.585824726174537e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2175 Order of pole (three term test) = -18.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 0.8729915850380213 y[1] (numeric) = 0.8729915850380352 absolute error = 1.387778780781446e-14 relative error = 1.58968173870886e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2132 Order of pole (three term test) = -18.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 0.8705970623862019 y[1] (numeric) = 0.8705970623862158 absolute error = 1.387778780781446e-14 relative error = 1.594054058691297e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2086 Order of pole (three term test) = -19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 0.8679309374313184 y[1] (numeric) = 0.8679309374313322 absolute error = 1.376676550535194e-14 relative error = 1.58615909534177e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2036 Order of pole (three term test) = -19.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 0.864992948501675 y[1] (numeric) = 0.8649929485016887 absolute error = 1.376676550535194e-14 relative error = 1.591546558755014e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1983 Order of pole (three term test) = -19.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 0.8617829257260727 y[1] (numeric) = 0.8617829257260864 absolute error = 1.365574320288943e-14 relative error = 1.584591988914625e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1927 Order of pole (three term test) = -20.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 0.8583007914043805 y[1] (numeric) = 0.8583007914043942 absolute error = 1.365574320288943e-14 relative error = 1.591020693403468e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1867 Order of pole (three term test) = -20.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 0.8545465603449842 y[1] (numeric) = 0.8545465603449978 absolute error = 1.354472090042691e-14 relative error = 1.585018479854257e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1805 Order of pole (three term test) = -20.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = 0.8505203401689064 y[1] (numeric) = 0.8505203401689199 absolute error = 1.343369859796439e-14 relative error = 1.57946823415141e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.174 Order of pole (three term test) = -21.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = 0.846222331580409 y[1] (numeric) = 0.8462223315804224 absolute error = 1.332267629550188e-14 relative error = 1.574370682302886e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1672 Order of pole (three term test) = -21.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 0.8416528286038975 y[1] (numeric) = 0.8416528286039108 absolute error = 1.332267629550188e-14 relative error = 1.582918258303847e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1601 Order of pole (three term test) = -21.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = 0.8368122187869613 y[1] (numeric) = 0.8368122187869744 absolute error = 1.310063169057685e-14 relative error = 1.565540200831132e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1528 Order of pole (three term test) = -22.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = 0.8317009833693972 y[1] (numeric) = 0.8317009833694102 absolute error = 1.298960938811433e-14 relative error = 1.561812435941901e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1453 Order of pole (three term test) = -22.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = 0.8263196974180753 y[1] (numeric) = 0.8263196974180882 absolute error = 1.287858708565182e-14 relative error = 1.558547754082632e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1375 Order of pole (three term test) = -22.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = 0.8206690299275192 y[1] (numeric) = 0.820669029927532 absolute error = 1.27675647831893e-14 relative error = 1.555750773770142e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1294 Order of pole (three term test) = -23.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = 0.8147497438860872 y[1] (numeric) = 0.8147497438860998 absolute error = 1.254552017826427e-14 relative error = 1.539800444542183e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1212 Order of pole (three term test) = -23.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 0.8085626963076509 y[1] (numeric) = 0.8085626963076633 absolute error = 1.243449787580175e-14 relative error = 1.537852034552747e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1128 Order of pole (three term test) = -23.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = 0.8021088382286851 y[1] (numeric) = 0.8021088382286974 absolute error = 1.232347557333924e-14 relative error = 1.536384463803372e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1042 Order of pole (three term test) = -23.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = 0.7953892146706917 y[1] (numeric) = 0.7953892146707039 absolute error = 1.221245327087672e-14 relative error = 1.535405942854398e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09544 Order of pole (three term test) = -24.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 0.7884049645678968 y[1] (numeric) = 0.7884049645679089 absolute error = 1.210143096841421e-14 relative error = 1.534925769404137e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08653 Order of pole (three term test) = -24.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = 0.7811573206601712 y[1] (numeric) = 0.7811573206601831 absolute error = 1.187938636348917e-14 relative error = 1.520741859456642e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07748 Order of pole (three term test) = -24.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = 0.7736476093511394 y[1] (numeric) = 0.7736476093511512 absolute error = 1.176836406102666e-14 relative error = 1.521153031274384e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0683 Order of pole (three term test) = -24.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = 0.7658772505314551 y[1] (numeric) = 0.7658772505314665 absolute error = 1.143529715363911e-14 relative error = 1.493097901224245e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05901 Order of pole (three term test) = -24.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = 0.757847757367232 y[1] (numeric) = 0.7578477573672433 absolute error = 1.13242748511766e-14 relative error = 1.49426777886329e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04963 Order of pole (three term test) = -24.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = 0.7495607360536392 y[1] (numeric) = 0.7495607360536503 absolute error = 1.110223024625157e-14 relative error = 1.481164862597216e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04017 Order of pole (three term test) = -24.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = 0.7410178855336724 y[1] (numeric) = 0.7410178855336834 absolute error = 1.099120794378905e-14 relative error = 1.483258118105113e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03065 Order of pole (three term test) = -24.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = 0.7322209971821391 y[1] (numeric) = 0.7322209971821498 absolute error = 1.076916333886402e-14 relative error = 1.470753144243036e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02107 Order of pole (three term test) = -24.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = 0.7231719544548956 y[1] (numeric) = 0.7231719544549062 absolute error = 1.06581410364015e-14 relative error = 1.473804531653233e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01147 Order of pole (three term test) = -25.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = 0.7138727325034002 y[1] (numeric) = 0.7138727325034107 absolute error = 1.043609643147647e-14 relative error = 1.461898732968732e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.001842 Order of pole (three term test) = -25.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = 0.7043253977546491 y[1] (numeric) = 0.7043253977546593 absolute error = 1.021405182655144e-14 relative error = 1.450189338495144e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = 0.6945321074565819 y[1] (numeric) = 0.694532107456592 absolute error = 1.010302952408892e-14 relative error = 1.454652623776721e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = 0.6844951091890557 y[1] (numeric) = 0.6844951091890654 absolute error = 9.769962616701378e-15 relative error = 1.42732394805219e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = 0.6742167403404963 y[1] (numeric) = 0.6742167403405058 absolute error = 9.547918011776346e-15 relative error = 1.41614965047507e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = 0.663699427550355 y[1] (numeric) = 0.6636994275503645 absolute error = 9.436895709313831e-15 relative error = 1.421862867072889e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = 0.6529456861175068 y[1] (numeric) = 0.6529456861175159 absolute error = 9.103828801926284e-15 relative error = 1.394270457020513e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = 0.6419581193747405 y[1] (numeric) = 0.6419581193747493 absolute error = 8.881784197001252e-15 relative error = 1.383545737477704e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = 0.6307394180295087 y[1] (numeric) = 0.6307394180295174 absolute error = 8.659739592076221e-15 relative error = 1.372950436351368e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = 0.6192923594711122 y[1] (numeric) = 0.6192923594711206 absolute error = 8.43769498715119e-15 relative error = 1.362473613328146e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 0.6076198070445105 y[1] (numeric) = 0.6076198070445187 absolute error = 8.215650382226158e-15 relative error = 1.35210378051819e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = 0.5957247092909637 y[1] (numeric) = 0.5957247092909717 absolute error = 7.993605777301127e-15 relative error = 1.341828809957401e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 0.5836100991557205 y[1] (numeric) = 0.5836100991557281 absolute error = 7.66053886991358e-15 relative error = 1.312612458385435e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = 0.5712790931629839 y[1] (numeric) = 0.5712790931629913 absolute error = 7.438494264988549e-15 relative error = 1.302077102770217e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = 0.5587348905583964 y[1] (numeric) = 0.5587348905584035 absolute error = 7.105427357601002e-15 relative error = 1.271699240135134e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = 0.5459807724193003 y[1] (numeric) = 0.5459807724193072 absolute error = 6.883382752675971e-15 relative error = 1.26073720914657e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = 0.5330201007330414 y[1] (numeric) = 0.5330201007330481 absolute error = 6.661338147750939e-15 relative error = 1.249734885905778e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = 0.5198563174435968 y[1] (numeric) = 0.5198563174436033 absolute error = 6.439293542825908e-15 relative error = 1.238667940882445e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = 0.5064929434668202 y[1] (numeric) = 0.5064929434668263 absolute error = 6.106226635438361e-15 relative error = 1.20558967586848e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = 0.4929335776746094 y[1] (numeric) = 0.4929335776746152 absolute error = 5.773159728050814e-15 relative error = 1.171184108675538e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = 0.4791818958483166 y[1] (numeric) = 0.479181895848322 absolute error = 5.495603971894525e-15 relative error = 1.146872204377717e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = 0.4652416496017279 y[1] (numeric) = 0.4652416496017331 absolute error = 5.218048215738236e-15 relative error = 1.121578048785006e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = 0.4511166652739583 y[1] (numeric) = 0.4511166652739632 absolute error = 4.884981308350689e-15 relative error = 1.082864297505855e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = 0.4368108427926132 y[1] (numeric) = 0.4368108427926178 absolute error = 4.551914400963142e-15 relative error = 1.04207907749311e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = 0.4223281545075845 y[1] (numeric) = 0.4223281545075888 absolute error = 4.218847493575595e-15 relative error = 9.989500933212894e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = 0.4076726439958589 y[1] (numeric) = 0.4076726439958628 absolute error = 3.941291737419306e-15 relative error = 9.667785649751227e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = 0.3928484248377271 y[1] (numeric) = 0.3928484248377307 absolute error = 3.608224830031759e-15 relative error = 9.184776116951975e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = 0.3778596793647955 y[1] (numeric) = 0.3778596793647988 absolute error = 3.275157922644212e-15 relative error = 8.667656544222835e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = 0.3627106573802127 y[1] (numeric) = 0.3627106573802157 absolute error = 2.997602166487923e-15 relative error = 8.26444469026361e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = 0.3474056748515343 y[1] (numeric) = 0.347405674851537 absolute error = 2.664535259100376e-15 relative error = 7.66980925178922e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = 0.3319491125766593 y[1] (numeric) = 0.3319491125766615 absolute error = 2.275957200481571e-15 relative error = 6.85634368115977e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = 0.316345414823285 y[1] (numeric) = 0.3163454148232869 absolute error = 1.942890293094024e-15 relative error = 6.141673632852716e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = 0.3005990879423365 y[1] (numeric) = 0.3005990879423382 absolute error = 1.665334536937735e-15 relative error = 5.540051862223858e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.447 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = 0.2847146989558358 y[1] (numeric) = 0.2847146989558371 absolute error = 1.27675647831893e-15 relative error = 4.484336365496104e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.762 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = 0.2686968741196882 y[1] (numeric) = 0.2686968741196892 absolute error = 9.436895709313831e-16 relative error = 3.512097317927957e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.087 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = 0.2525502974618752 y[1] (numeric) = 0.2525502974618759 absolute error = 6.106226635438361e-16 relative error = 2.417825952614509e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.423 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = 0.2362797092965476 y[1] (numeric) = 0.2362797092965478 absolute error = 2.220446049250313e-16 relative error = 9.397531662202518e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.77 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = 0.2198899047145287 y[1] (numeric) = 0.2198899047145285 absolute error = 1.387778780781446e-16 relative error = 6.311243722548903e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.129 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = 0.2033857320507435 y[1] (numeric) = 0.203385732050743 absolute error = 4.718447854656915e-16 relative error = 2.319950277278886e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.502 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = 0.1867720913291001 y[1] (numeric) = 0.1867720913290993 absolute error = 8.326672684688674e-16 relative error = 4.458199630059683e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.595 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = 0.1700539326853589 y[1] (numeric) = 0.1700539326853577 absolute error = 1.193489751472043e-15 relative error = 7.018301386068439e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.218 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = 0.1532362547685342 y[1] (numeric) = 0.1532362547685326 absolute error = 1.554312234475219e-15 relative error = 1.014324082002026e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.856 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = 0.1363241031213825 y[1] (numeric) = 0.1363241031213806 absolute error = 1.942890293094024e-15 relative error = 1.425199395123899e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.507 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = 0.119322568540539 y[1] (numeric) = 0.1193225685405367 absolute error = 2.275957200481571e-15 relative error = 1.907398766485932e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.17 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = 0.1022367854168731 y[1] (numeric) = 0.1022367854168705 absolute error = 2.664535259100376e-15 relative error = 2.606239278979347e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.845 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = 0.08507193005664319 y[1] (numeric) = 0.08507193005664014 absolute error = 3.05311331771918e-15 relative error = 3.58886099761265e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.531 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = 0.0678332189840359 y[1] (numeric) = 0.0678332189840325 absolute error = 3.400058012914542e-15 relative error = 5.012378984572033e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.226 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = 0.05052590722568705 y[1] (numeric) = 0.05052590722568327 absolute error = 3.788636071533347e-15 relative error = 7.498402858182085e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.93 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = 0.0331552865777851 y[1] (numeric) = 0.03315528657778097 absolute error = 4.135580766728708e-15 relative error = 1.247336757903234e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = 0.01572668385636858 y[1] (numeric) = 0.01572668385636409 absolute error = 4.489464355827977e-15 relative error = 2.854679598591887e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = -0.00175454086856614 y[1] (numeric) = -0.001754540868571016 absolute error = 4.876307690970805e-15 relative error = 2.779249989745671e-10 % Correct digits = 12 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = -0.01928299605452196 y[1] (numeric) = -0.01928299605452724 absolute error = 5.283967707825354e-15 relative error = 2.74022132913637e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = -0.03685326048289223 y[1] (numeric) = -0.03685326048289787 absolute error = 5.641320743876577e-15 relative error = 1.530752142404158e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = -0.05445988506964822 y[1] (numeric) = -0.05445988506965424 absolute error = 6.016021014687567e-15 relative error = 1.104670163551343e-11 % Correct digits = 13 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = -0.07209739468967982 y[1] (numeric) = -0.07209739468968621 absolute error = 6.38378239159465e-15 relative error = 8.85438706775966e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = -0.08976029001413875 y[1] (numeric) = -0.08976029001414551 absolute error = 6.75848266240564e-15 relative error = 7.529479529690765e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = -0.1074430493601295 y[1] (numeric) = -0.1074430493601367 absolute error = 7.147060721024445e-15 relative error = 6.651952605206505e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = -0.1251401305520864 y[1] (numeric) = -0.1251401305520939 absolute error = 7.549516567451064e-15 relative error = 6.03285016097116e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = -0.1428459727941706 y[1] (numeric) = -0.1428459727941785 absolute error = 7.91033905045424e-15 relative error = 5.537670328201967e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = -0.1605549985530155 y[1] (numeric) = -0.1605549985530238 absolute error = 8.271161533457416e-15 relative error = 5.15160637040289e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = -0.1782616154501445 y[1] (numeric) = -0.1782616154501531 absolute error = 8.659739592076221e-15 relative error = 4.857882371484591e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = -0.1959602181633799 y[1] (numeric) = -0.1959602181633889 absolute error = 9.048317650695026e-15 relative error = 4.617425789529934e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = -0.2136451903365585 y[1] (numeric) = -0.2136451903365679 absolute error = 9.436895709313831e-15 relative error = 4.417087833546707e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = -0.2313109064968644 y[1] (numeric) = -0.2313109064968742 absolute error = 9.797718192317006e-15 relative error = 4.235735504520978e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = -0.2489517339790859 y[1] (numeric) = -0.2489517339790961 absolute error = 1.018629625093581e-14 relative error = 4.091675156515097e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = -0.266562034856101 y[1] (numeric) = -0.2665620348561116 absolute error = 1.054711873393899e-14 relative error = 3.956722021435899e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = -0.2841361678748912 y[1] (numeric) = -0.2841361678749021 absolute error = 1.088018564132653e-14 relative error = 3.829215309934503e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = -0.3016684903973806 y[1] (numeric) = -0.3016684903973919 absolute error = 1.126876369994534e-14 relative error = 3.73547919608749e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = -0.3191533603453966 y[1] (numeric) = -0.3191533603454082 absolute error = 1.160183060733289e-14 relative error = 3.635189864451705e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = -0.3365851381490426 y[1] (numeric) = -0.3365851381490546 absolute error = 1.199040866595169e-14 relative error = 3.562370202050407e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = -0.353958188697774 y[1] (numeric) = -0.3539581886977863 absolute error = 1.23789867245705e-14 relative error = 3.497301975160759e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = -0.3712668832934649 y[1] (numeric) = -0.3712668832934776 absolute error = 1.271205363195804e-14 relative error = 3.423966479097438e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = -0.3885056016047527 y[1] (numeric) = -0.3885056016047657 absolute error = 1.304512053934559e-14 relative error = 3.357768970501764e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = -0.4056687336219451 y[1] (numeric) = -0.4056687336219585 absolute error = 1.343369859796439e-14 relative error = 3.311494696183231e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = -0.422750681611774 y[1] (numeric) = -0.4227506816117877 absolute error = 1.376676550535194e-14 relative error = 3.256473875539347e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = -0.4397458620712787 y[1] (numeric) = -0.4397458620712928 absolute error = 1.409983241273949e-14 relative error = 3.206359315429791e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = -0.4566487076801026 y[1] (numeric) = -0.4566487076801171 absolute error = 1.448841047135829e-14 relative error = 3.172769401880778e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = -0.4734536692504834 y[1] (numeric) = -0.4734536692504983 absolute error = 1.482147737874584e-14 relative error = 3.130502167658659e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = -0.490155217674222 y[1] (numeric) = -0.4901552176742372 absolute error = 1.521005543736464e-14 relative error = 3.103109971885252e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = -0.5067478458659096 y[1] (numeric) = -0.5067478458659251 absolute error = 1.554312234475219e-14 relative error = 3.06723007735588e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002407 Order of pole (three term test) = -0.8935 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = -0.5232260707016991 y[1] (numeric) = -0.5232260707017147 absolute error = 1.554312234475219e-14 relative error = 2.970632240076893e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01205 Order of pole (three term test) = -0.908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = -0.539584434952901 y[1] (numeric) = -0.5395844349529169 absolute error = 1.587618925213974e-14 relative error = 2.942299336993576e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02166 Order of pole (three term test) = -0.9418 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = -0.5558175092136944 y[1] (numeric) = -0.5558175092137108 absolute error = 1.63202784619898e-14 relative error = 2.936265625218936e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03125 Order of pole (three term test) = -0.9948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = -0.5719198938222336 y[1] (numeric) = -0.5719198938222503 absolute error = 1.665334536937735e-14 relative error = 2.911831805339089e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04078 Order of pole (three term test) = -1.067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = -0.5878862207744407 y[1] (numeric) = -0.5878862207744577 absolute error = 1.69864122767649e-14 relative error = 2.889404731137969e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05025 Order of pole (three term test) = -1.158 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = -0.6037111556297757 y[1] (numeric) = -0.6037111556297929 absolute error = 1.720845688168993e-14 relative error = 2.850445402775192e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05964 Order of pole (three term test) = -1.269 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = -0.6193893994082728 y[1] (numeric) = -0.6193893994082904 absolute error = 1.765254609153999e-14 relative error = 2.849991638281857e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06893 Order of pole (three term test) = -1.397 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = -0.6349156904781407 y[1] (numeric) = -0.6349156904781587 absolute error = 1.798561299892754e-14 relative error = 2.832756107410572e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07811 Order of pole (three term test) = -1.545 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = -0.6502848064332212 y[1] (numeric) = -0.6502848064332395 absolute error = 1.831867990631508e-14 relative error = 2.817024129287612e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08717 Order of pole (three term test) = -1.711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = -0.6654915659596081 y[1] (numeric) = -0.6654915659596267 absolute error = 1.854072451124011e-14 relative error = 2.786019456836428e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09608 Order of pole (three term test) = -1.894 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = -0.6805308306907289 y[1] (numeric) = -0.6805308306907478 absolute error = 1.887379141862766e-14 relative error = 2.773392558786945e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1048 Order of pole (three term test) = -2.096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = -0.6953975070501971 y[1] (numeric) = -0.6953975070502163 absolute error = 1.920685832601521e-14 relative error = 2.761997006214284e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1134 Order of pole (three term test) = -2.315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = -0.710086548081744 y[1] (numeric) = -0.7100865480817635 absolute error = 1.953992523340276e-14 relative error = 2.751766708746798e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1219 Order of pole (three term test) = -2.551 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = -0.7245929552655472 y[1] (numeric) = -0.724592955265567 absolute error = 1.976196983832779e-14 relative error = 2.72732017261822e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1301 Order of pole (three term test) = -2.803 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = -0.7389117803202727 y[1] (numeric) = -0.7389117803202928 absolute error = 2.009503674571533e-14 relative error = 2.719544779351789e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1381 Order of pole (three term test) = -3.072 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = -0.7530381269901552 y[1] (numeric) = -0.7530381269901756 absolute error = 2.042810365310288e-14 relative error = 2.712758215145453e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1459 Order of pole (three term test) = -3.357 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = -0.7669671528164448 y[1] (numeric) = -0.7669671528164655 absolute error = 2.076117056049043e-14 relative error = 2.706917823566704e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1534 Order of pole (three term test) = -3.657 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = -0.780694070892554 y[1] (numeric) = -0.780694070892575 absolute error = 2.098321516541546e-14 relative error = 2.687764125251485e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1607 Order of pole (three term test) = -3.972 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = -0.7942141516022431 y[1] (numeric) = -0.7942141516022644 absolute error = 2.131628207280301e-14 relative error = 2.683946392770723e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1678 Order of pole (three term test) = -4.301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = -0.807522724340189 y[1] (numeric) = -0.8075227243402106 absolute error = 2.153832667772804e-14 relative error = 2.667209977939207e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1746 Order of pole (three term test) = -4.644 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = -0.8206151792142878 y[1] (numeric) = -0.8206151792143096 absolute error = 2.176037128265307e-14 relative error = 2.651714449577683e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1811 Order of pole (three term test) = -5.001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = -0.8334869687290472 y[1] (numeric) = -0.8334869687290692 absolute error = 2.209343819004062e-14 relative error = 2.650723888788575e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1873 Order of pole (three term test) = -5.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = -0.8461336094494316 y[1] (numeric) = -0.8461336094494539 absolute error = 2.231548279496565e-14 relative error = 2.637347405392163e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1932 Order of pole (three term test) = -5.752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = -0.8585506836445302 y[1] (numeric) = -0.8585506836445528 absolute error = 2.253752739989068e-14 relative error = 2.625066618573912e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1988 Order of pole (three term test) = -6.145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = -0.8707338409104222 y[1] (numeric) = -0.870733840910445 absolute error = 2.287059430727822e-14 relative error = 2.626588428372691e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2041 Order of pole (three term test) = -6.549 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = -0.8826787997716248 y[1] (numeric) = -0.8826787997716478 absolute error = 2.298161660974074e-14 relative error = 2.603621681600007e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.209 Order of pole (three term test) = -6.963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = -0.8943813492605128 y[1] (numeric) = -0.8943813492605361 absolute error = 2.331468351712829e-14 relative error = 2.606794465963003e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2137 Order of pole (three term test) = -7.387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = -0.9058373504741102 y[1] (numeric) = -0.9058373504741337 absolute error = 2.353672812205332e-14 relative error = 2.598339327665649e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2179 Order of pole (three term test) = -7.819 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = -0.9170427381076557 y[1] (numeric) = -0.9170427381076794 absolute error = 2.375877272697835e-14 relative error = 2.590803213381883e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2219 Order of pole (three term test) = -8.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = -0.9279935219643617 y[1] (numeric) = -0.9279935219643857 absolute error = 2.398081733190338e-14 relative error = 2.584157837776839e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2255 Order of pole (three term test) = -8.708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = -0.9386857884407844 y[1] (numeric) = -0.9386857884408086 absolute error = 2.420286193682841e-14 relative error = 2.578377369175992e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.919 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2287 Order of pole (three term test) = -9.164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = -0.9491157019872382 y[1] (numeric) = -0.9491157019872626 absolute error = 2.442490654175344e-14 relative error = 2.573438253166932e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.214 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2315 Order of pole (three term test) = -9.625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = -0.9592795065426927 y[1] (numeric) = -0.9592795065427173 absolute error = 2.464695114667848e-14 relative error = 2.569319054412799e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.518 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.234 Order of pole (three term test) = -10.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = -0.9691735269436021 y[1] (numeric) = -0.9691735269436269 absolute error = 2.475797344914099e-14 relative error = 2.554544956177048e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.831 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2361 Order of pole (three term test) = -10.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = -0.9787941703061228 y[1] (numeric) = -0.9787941703061479 absolute error = 2.509104035652854e-14 relative error = 2.563464425690356e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.155 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2378 Order of pole (three term test) = -11.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = -0.9881379273811876 y[1] (numeric) = -0.9881379273812128 absolute error = 2.520206265899105e-14 relative error = 2.550460007722082e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2392 Order of pole (three term test) = -11.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = -0.9972013738819113 y[1] (numeric) = -0.9972013738819366 absolute error = 2.531308496145357e-14 relative error = 2.538412563845018e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.837 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2401 Order of pole (three term test) = -12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = -1.005981171782816 y[1] (numeric) = -1.005981171782842 absolute error = 2.55351295663786e-14 relative error = 2.538330764295004e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.197 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2407 Order of pole (three term test) = -12.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = -1.014474070590372 y[1] (numeric) = -1.014474070590398 absolute error = 2.575717417130363e-14 relative error = 2.538968212003119e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.572 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2409 Order of pole (three term test) = -12.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = -1.022676908584356 y[1] (numeric) = -1.022676908584381 absolute error = 2.575717417130363e-14 relative error = 2.518603280772037e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.579 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2407 Order of pole (three term test) = -13.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = -1.03058661402955 y[1] (numeric) = -1.030586614029576 absolute error = 2.597921877622866e-14 relative error = 2.520818572895199e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 9.203 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2401 Order of pole (three term test) = -13.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = -1.038200206357309 y[1] (numeric) = -1.038200206357335 absolute error = 2.597921877622866e-14 relative error = 2.502332268588243e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.84 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2392 Order of pole (three term test) = -14.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = -1.045514797316521 y[1] (numeric) = -1.045514797316547 absolute error = 2.620126338115369e-14 relative error = 2.506063371690518e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.49 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2378 Order of pole (three term test) = -14.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = -1.052527592093532 y[1] (numeric) = -1.052527592093559 absolute error = 2.620126338115369e-14 relative error = 2.489365939475089e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 8.152 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2361 Order of pole (three term test) = -15.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = -1.059235890400573 y[1] (numeric) = -1.059235890400599 absolute error = 2.642330798607873e-14 relative error = 2.494563130417171e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.824 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.234 Order of pole (three term test) = -15.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = -1.065637087532273 y[1] (numeric) = -1.0656370875323 absolute error = 2.664535259100376e-14 relative error = 2.500415282345998e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.507 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.2316 Order of pole (three term test) = -16.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = -1.071728675389843 y[1] (numeric) = -1.071728675389869 absolute error = 2.686739719592879e-14 relative error = 2.506921557002825e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2287 Order of pole (three term test) = -16.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = -1.07750824347251 y[1] (numeric) = -1.077508243472537 absolute error = 2.686739719592879e-14 relative error = 2.493474862831919e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2255 Order of pole (three term test) = -17.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = -1.082973479835829 y[1] (numeric) = -1.082973479835857 absolute error = 2.708944180085382e-14 relative error = 2.501394752986968e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2219 Order of pole (three term test) = -17.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = -1.088122172016472 y[1] (numeric) = -1.0881221720165 absolute error = 2.708944180085382e-14 relative error = 2.489558847114801e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.218 Order of pole (three term test) = -18.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = -1.09295220792313 y[1] (numeric) = -1.092952207923158 absolute error = 2.731148640577885e-14 relative error = 2.498872888291903e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2137 Order of pole (three term test) = -18.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = -1.097461576693179 y[1] (numeric) = -1.097461576693206 absolute error = 2.753353101070388e-14 relative error = 2.508837812223611e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2091 Order of pole (three term test) = -18.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = -1.101648369514749 y[1] (numeric) = -1.101648369514777 absolute error = 2.753353101070388e-14 relative error = 2.499303023779881e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2042 Order of pole (three term test) = -19.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = -1.105510780413882 y[1] (numeric) = -1.105510780413909 absolute error = 2.753353101070388e-14 relative error = 2.490571010116777e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1989 Order of pole (three term test) = -19.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = -1.109047107006435 y[1] (numeric) = -1.109047107006463 absolute error = 2.775557561562891e-14 relative error = 2.502650738664057e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1933 Order of pole (three term test) = -20.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = -1.112255751214448 y[1] (numeric) = -1.112255751214476 absolute error = 2.797762022055394e-14 relative error = 2.515394520550312e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1874 Order of pole (three term test) = -20.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = -1.115135219946657 y[1] (numeric) = -1.115135219946685 absolute error = 2.775557561562891e-14 relative error = 2.488987444675688e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1812 Order of pole (three term test) = -20.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = -1.117684125742888 y[1] (numeric) = -1.117684125742916 absolute error = 2.797762022055394e-14 relative error = 2.503177738339813e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1747 Order of pole (three term test) = -21.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = -1.11990118738206 y[1] (numeric) = -1.119901187382088 absolute error = 2.797762022055394e-14 relative error = 2.498222212439644e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1679 Order of pole (three term test) = -21.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = -1.121785230453531 y[1] (numeric) = -1.121785230453559 absolute error = 2.797762022055394e-14 relative error = 2.494026437595613e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1609 Order of pole (three term test) = -21.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = -1.123335187891562 y[1] (numeric) = -1.12333518789159 absolute error = 2.797762022055394e-14 relative error = 2.490585225329439e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1536 Order of pole (three term test) = -22.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = -1.124550100472658 y[1] (numeric) = -1.124550100472687 absolute error = 2.819966482547898e-14 relative error = 2.507639705303161e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1461 Order of pole (three term test) = -22.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = -1.125429117275579 y[1] (numeric) = -1.125429117275608 absolute error = 2.819966482547898e-14 relative error = 2.505681112440406e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1383 Order of pole (three term test) = -22.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = -1.125971496103812 y[1] (numeric) = -1.125971496103841 absolute error = 2.819966482547898e-14 relative error = 2.504474129501323e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1303 Order of pole (three term test) = -23.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = -1.126176603870324 y[1] (numeric) = -1.126176603870352 absolute error = 2.819966482547898e-14 relative error = 2.504017995806818e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1221 Order of pole (three term test) = -23.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = -1.126043916944419 y[1] (numeric) = -1.126043916944448 absolute error = 2.842170943040401e-14 relative error = 2.524032056185503e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1137 Order of pole (three term test) = -23.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = -1.125573021460541 y[1] (numeric) = -1.125573021460569 absolute error = 2.842170943040401e-14 relative error = 2.525088011928721e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1051 Order of pole (three term test) = -23.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = -1.124763613588869 y[1] (numeric) = -1.124763613588898 absolute error = 2.842170943040401e-14 relative error = 2.52690512806657e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09637 Order of pole (three term test) = -24.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = -1.123615499767591 y[1] (numeric) = -1.123615499767619 absolute error = 2.819966482547898e-14 relative error = 2.50972550942131e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08747 Order of pole (three term test) = -24.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = -1.122128596896712 y[1] (numeric) = -1.12212859689674 absolute error = 2.819966482547898e-14 relative error = 2.513051080194034e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07843 Order of pole (three term test) = -24.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = -1.12030293249332 y[1] (numeric) = -1.120302932493348 absolute error = 2.819966482547898e-14 relative error = 2.517146390281998e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06927 Order of pole (three term test) = -24.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = -1.118138644808202 y[1] (numeric) = -1.11813864480823 absolute error = 2.797762022055394e-14 relative error = 2.502160206201713e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05999 Order of pole (three term test) = -24.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = -1.115635982903737 y[1] (numeric) = -1.115635982903765 absolute error = 2.797762022055394e-14 relative error = 2.507773202844785e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05062 Order of pole (three term test) = -24.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = -1.112795306693019 y[1] (numeric) = -1.112795306693047 absolute error = 2.797762022055394e-14 relative error = 2.514174893826362e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04117 Order of pole (three term test) = -24.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = -1.109617086940138 y[1] (numeric) = -1.109617086940166 absolute error = 2.775557561562891e-14 relative error = 2.501365195462808e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03165 Order of pole (three term test) = -24.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = -1.106101905221615 y[1] (numeric) = -1.106101905221643 absolute error = 2.753353101070388e-14 relative error = 2.489239995042532e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02208 Order of pole (three term test) = -24.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = -1.102250453848946 y[1] (numeric) = -1.102250453848974 absolute error = 2.753353101070388e-14 relative error = 2.497937824798311e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01248 Order of pole (three term test) = -25.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = -1.098063535752273 y[1] (numeric) = -1.098063535752301 absolute error = 2.753353101070388e-14 relative error = 2.507462465898288e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002852 Order of pole (three term test) = -25.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = -1.093542064325179 y[1] (numeric) = -1.093542064325206 absolute error = 2.731148640577885e-14 relative error = 2.4975249966843e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = -1.088687063230634 y[1] (numeric) = -1.088687063230661 absolute error = 2.731148640577885e-14 relative error = 2.508662712013235e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = -1.083499666168136 y[1] (numeric) = -1.083499666168163 absolute error = 2.708944180085382e-14 relative error = 2.500179985902286e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = -1.077981116602098 y[1] (numeric) = -1.077981116602125 absolute error = 2.708944180085382e-14 relative error = 2.512979252015321e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = -1.072132767451543 y[1] (numeric) = -1.07213276745157 absolute error = 2.686739719592879e-14 relative error = 2.505976686058437e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = -1.065956080741198 y[1] (numeric) = -1.065956080741225 absolute error = 2.686739719592879e-14 relative error = 2.520497577840815e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = -1.059452627214079 y[1] (numeric) = -1.059452627214106 absolute error = 2.664535259100376e-14 relative error = 2.515011233779275e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = -1.052624085905676 y[1] (numeric) = -1.052624085905702 absolute error = 2.664535259100376e-14 relative error = 2.531326515113717e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = -1.045472243679865 y[1] (numeric) = -1.045472243679892 absolute error = 2.642330798607873e-14 relative error = 2.52740406508294e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = -1.037998994726689 y[1] (numeric) = -1.037998994726716 absolute error = 2.642330798607873e-14 relative error = 2.545600537217873e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = -1.030206340022153 y[1] (numeric) = -1.030206340022179 absolute error = 2.620126338115369e-14 relative error = 2.543302478665611e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = -1.022096386750204 y[1] (numeric) = -1.02209638675023 absolute error = 2.597921877622866e-14 relative error = 2.541758205293202e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = -1.013671347687086 y[1] (numeric) = -1.013671347687112 absolute error = 2.575717417130363e-14 relative error = 2.540978812321596e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = -1.004933540548245 y[1] (numeric) = -1.004933540548271 absolute error = 2.55351295663786e-14 relative error = 2.540976943853204e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = -0.995885387298018 y[1] (numeric) = -0.9958853872980433 absolute error = 2.531308496145357e-14 relative error = 2.541766882445344e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = -0.9865294134223038 y[1] (numeric) = -0.986529413422329 absolute error = 2.520206265899105e-14 relative error = 2.554618475242846e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = -0.9768682471644742 y[1] (numeric) = -0.976868247164499 absolute error = 2.486899575160351e-14 relative error = 2.54578811664623e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = -0.9669046187247592 y[1] (numeric) = -0.9669046187247838 absolute error = 2.464695114667848e-14 relative error = 2.549057132355525e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = -0.956641359423381 y[1] (numeric) = -0.9566413594234054 absolute error = 2.442490654175344e-14 relative error = 2.553193660419997e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = -0.9460814008277075 y[1] (numeric) = -0.9460814008277317 absolute error = 2.420286193682841e-14 relative error = 2.55822193689188e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = -0.9352277738437199 y[1] (numeric) = -0.9352277738437439 absolute error = 2.398081733190338e-14 relative error = 2.56416864453714e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = -0.9240836077720962 y[1] (numeric) = -0.92408360777212 absolute error = 2.375877272697835e-14 relative error = 2.571063108051355e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 NO 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 ) = sin(2.0 * x + 3.0) + cos(1.5 * x - 2.0); Iterations = 491 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.4 %