##############ECHO OF PROBLEM################# ##############temp/sinh_sqrtpostode.ode################# diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); ! // 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(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2))); } // 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 = 3.546265970111173e-169 estimated_step_error = 3.546265970111173e-169 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 = 2.379858292746505e-161 estimated_step_error = 2.379858292746505e-161 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 = 1.597095174906501e-153 estimated_step_error = 1.597095174906501e-153 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 = 1.071791502555354e-145 estimated_step_error = 1.071791502555354e-145 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 = 7.192658585266955e-138 estimated_step_error = 7.192658585266955e-138 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 = 4.826894780945911e-130 estimated_step_error = 4.826894780945911e-130 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 = 3.239251857255108e-122 estimated_step_error = 3.239251857255108e-122 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 = 2.173795063769306e-114 estimated_step_error = 2.173795063769306e-114 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 = 1.458768829172214e-106 estimated_step_error = 1.458768829172214e-106 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 = 9.789090456059158e-99 estimated_step_error = 9.789090456059158e-99 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 = 6.568620813071423e-91 estimated_step_error = 6.568620813071423e-91 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 = 4.407151923258663e-83 estimated_step_error = 4.407151923258663e-83 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 = 2.956281994396242e-75 estimated_step_error = 2.956281994396242e-75 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 = 1.982174578797166e-67 estimated_step_error = 1.982174578797166e-67 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 = 1.327868714565245e-59 estimated_step_error = 1.327868714565245e-59 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 = 8.879855622320063e-52 estimated_step_error = 8.879855622320063e-52 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 = 5.917585503105088e-44 estimated_step_error = 5.917585503105088e-44 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 = 3.916626072967616e-36 estimated_step_error = 3.916626072967616e-36 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.6551348095261769 y[1] (numeric) = 0.6551348095261769 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 = 2.356 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.15 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.6598855024326589 y[1] (numeric) = 0.659885502432656 absolute error = 2.886579864025407e-15 relative error = 4.374364724462153e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.367 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.21 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.6646482490656209 y[1] (numeric) = 0.6646482490656193 absolute error = 1.665334536937735e-15 relative error = 2.505587789148476e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.378 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.28 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.6694230265858061 y[1] (numeric) = 0.6694230265858044 absolute error = 1.665334536937735e-15 relative error = 2.487716243391388e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.389 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.34 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.6742098123291214 y[1] (numeric) = 0.6742098123291176 absolute error = 3.774758283725532e-15 relative error = 5.598788707457807e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.401 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.41 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.6790085838045592 y[1] (numeric) = 0.6790085838045579 absolute error = 1.332267629550188e-15 relative error = 1.962077742943023e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.412 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.47 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.6838193186921788 y[1] (numeric) = 0.6838193186921762 absolute error = 2.664535259100376e-15 relative error = 3.896548673407421e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.423 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.53 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.6886419948410685 y[1] (numeric) = 0.6886419948410669 absolute error = 1.554312234475219e-15 relative error = 2.257068616377278e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.434 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.6 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.6934765902673965 y[1] (numeric) = 0.6934765902673933 absolute error = 3.219646771412954e-15 relative error = 4.642762014751638e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.446 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.66 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0.6983230831524476 y[1] (numeric) = 0.6983230831524434 absolute error = 4.218847493575595e-15 relative error = 6.041397736031301e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.457 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.73 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0.7031814518407211 y[1] (numeric) = 0.7031814518407182 absolute error = 2.886579864025407e-15 relative error = 4.105028448161132e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.468 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.79 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0.7080516748380525 y[1] (numeric) = 0.7080516748380503 absolute error = 2.220446049250313e-15 relative error = 3.13599434639877e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.479 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.85 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0.712933730809755 y[1] (numeric) = 0.7129337308097522 absolute error = 2.775557561562891e-15 relative error = 3.893149449403094e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.49 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.92 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0.7178275985787992 y[1] (numeric) = 0.7178275985787944 absolute error = 4.773959005888173e-15 relative error = 6.650564864516161e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.502 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 27.98 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0.7227332571240157 y[1] (numeric) = 0.7227332571240122 absolute error = 3.552713678800501e-15 relative error = 4.91566375807566e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.513 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.04 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0.7276506855783429 y[1] (numeric) = 0.7276506855783403 absolute error = 2.55351295663786e-15 relative error = 3.509256580454269e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.524 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.1 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0.7325798632270777 y[1] (numeric) = 0.7325798632270762 absolute error = 1.443289932012704e-15 relative error = 1.970146880170698e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.535 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.17 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0.7375207695061718 y[1] (numeric) = 0.7375207695061692 absolute error = 2.664535259100376e-15 relative error = 3.612827420283353e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.546 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.23 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0.7424733840005406 y[1] (numeric) = 0.7424733840005371 absolute error = 3.552713678800501e-15 relative error = 4.784971091701671e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.558 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.29 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0.7474376864424104 y[1] (numeric) = 0.7474376864424084 absolute error = 1.998401444325282e-15 relative error = 2.673669632363737e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.569 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.35 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0.7524136567096933 y[1] (numeric) = 0.7524136567096902 absolute error = 3.108624468950438e-15 relative error = 4.131536477613206e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.58 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.42 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0.7574012748243621 y[1] (numeric) = 0.7574012748243611 absolute error = 9.992007221626409e-16 relative error = 1.319248798986179e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.591 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.48 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0.7624005209508931 y[1] (numeric) = 0.7624005209508889 absolute error = 4.107825191113079e-15 relative error = 5.388014669756066e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.603 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.54 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0.7674113753946741 y[1] (numeric) = 0.7674113753946715 absolute error = 2.55351295663786e-15 relative error = 3.327436937359193e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.614 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.6 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0.7724338186005055 y[1] (numeric) = 0.7724338186005024 absolute error = 3.108624468950438e-15 relative error = 4.024454126804857e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.625 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.66 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0.7774678311510628 y[1] (numeric) = 0.777467831151059 absolute error = 3.774758283725532e-15 relative error = 4.855195459517467e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.72 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0.7825133937654156 y[1] (numeric) = 0.782513393765413 absolute error = 2.664535259100376e-15 relative error = 3.405098596816042e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.647 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.78 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0.7875704872975682 y[1] (numeric) = 0.7875704872975638 absolute error = 4.329869796038111e-15 relative error = 5.497755268732097e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.659 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.85 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0.7926390927349942 y[1] (numeric) = 0.792639092734994 absolute error = 2.220446049250313e-16 relative error = 2.801333002121664e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.67 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.91 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0.7977191911972481 y[1] (numeric) = 0.7977191911972448 absolute error = 3.33066907387547e-15 relative error = 4.175239997519267e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.681 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 28.97 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0.8028107639345183 y[1] (numeric) = 0.802810763934514 absolute error = 4.329869796038111e-15 relative error = 5.393387820085679e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.692 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.03 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0.8079137923262754 y[1] (numeric) = 0.8079137923262741 absolute error = 1.221245327087672e-15 relative error = 1.51160351350268e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.703 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.09 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0.8130282578799153 y[1] (numeric) = 0.8130282578799102 absolute error = 5.10702591327572e-15 relative error = 6.281486361363384e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.715 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.15 Order of pole (six term test) = -2.494 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0.8181541422293805 y[1] (numeric) = 0.818154142229378 absolute error = 2.55351295663786e-15 relative error = 3.121065854020877e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.726 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.21 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0.8232914271338863 y[1] (numeric) = 0.8232914271338819 absolute error = 4.329869796038111e-15 relative error = 5.259218854144553e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.737 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.27 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0.8284400944765746 y[1] (numeric) = 0.8284400944765712 absolute error = 3.441691376337985e-15 relative error = 4.154423958092608e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.748 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.33 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0.8336001262632591 y[1] (numeric) = 0.8336001262632556 absolute error = 3.441691376337985e-15 relative error = 4.128707839532003e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.76 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.39 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0.8387715046211435 y[1] (numeric) = 0.8387715046211395 absolute error = 3.996802888650564e-15 relative error = 4.765067562060111e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.771 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.45 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0.8439542117975756 y[1] (numeric) = 0.843954211797573 absolute error = 2.55351295663786e-15 relative error = 3.025653431125154e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.782 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.51 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0.8491482301588262 y[1] (numeric) = 0.8491482301588227 absolute error = 3.552713678800501e-15 relative error = 4.183855718731222e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.793 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.57 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0.8543535421888611 y[1] (numeric) = 0.8543535421888581 absolute error = 2.997602166487923e-15 relative error = 3.508620282427858e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.804 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.63 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0.8595701304881604 y[1] (numeric) = 0.859570130488156 absolute error = 4.440892098500626e-15 relative error = 5.16641044283215e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.816 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.69 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0.8647979777725232 y[1] (numeric) = 0.8647979777725219 absolute error = 1.332267629550188e-15 relative error = 1.540553590309884e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.827 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.75 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0.8700370668719284 y[1] (numeric) = 0.8700370668719268 absolute error = 1.554312234475219e-15 relative error = 1.786489672288891e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.838 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.81 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0.8752873807293646 y[1] (numeric) = 0.875287380729362 absolute error = 2.664535259100376e-15 relative error = 3.044183336540344e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.849 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.87 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0.8805489023997124 y[1] (numeric) = 0.8805489023997076 absolute error = 4.773959005888173e-15 relative error = 5.421571695652519e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.861 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.92 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0.8858216150486222 y[1] (numeric) = 0.885821615048619 absolute error = 3.219646771412954e-15 relative error = 3.634644624511934e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.872 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 29.98 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0.8911055019514289 y[1] (numeric) = 0.8911055019514266 absolute error = 2.331468351712829e-15 relative error = 2.616377462160377e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.883 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.04 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0.8964005464920559 y[1] (numeric) = 0.8964005464920523 absolute error = 3.663735981263017e-15 relative error = 4.087163930901826e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.894 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.1 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0.9017067321619421 y[1] (numeric) = 0.9017067321619395 absolute error = 2.55351295663786e-15 relative error = 2.831866354724367e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.905 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.16 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0.9070240425590019 y[1] (numeric) = 0.9070240425589992 absolute error = 2.775557561562891e-15 relative error = 3.060070550866728e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.917 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.22 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0.9123524613865714 y[1] (numeric) = 0.9123524613865681 absolute error = 3.33066907387547e-15 relative error = 3.650638557837174e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.928 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.28 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0.9176919724523875 y[1] (numeric) = 0.9176919724523838 absolute error = 3.774758283725532e-15 relative error = 4.113317318923564e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.939 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.33 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0.9230425596675733 y[1] (numeric) = 0.9230425596675705 absolute error = 2.775557561562891e-15 relative error = 3.006965965429034e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.95 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.39 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0.928404207045646 y[1] (numeric) = 0.9284042070456416 absolute error = 4.329869796038111e-15 relative error = 4.663776578325251e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.961 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.45 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0.9337768987015145 y[1] (numeric) = 0.9337768987015129 absolute error = 1.554312234475219e-15 relative error = 1.664543464971777e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.973 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.51 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0.9391606188505337 y[1] (numeric) = 0.9391606188505303 absolute error = 3.441691376337985e-15 relative error = 3.66464618219445e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.984 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.57 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0.9445553518075132 y[1] (numeric) = 0.9445553518075104 absolute error = 2.775557561562891e-15 relative error = 2.938480583749326e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.995 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.62 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0.9499610819857951 y[1] (numeric) = 0.9499610819857935 absolute error = 1.554312234475219e-15 relative error = 1.636185170055694e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.006 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.68 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0.9553777938963117 y[1] (numeric) = 0.9553777938963091 absolute error = 2.664535259100376e-15 relative error = 2.788985965681301e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.018 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.74 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0.9608054721466579 y[1] (numeric) = 0.9608054721466531 absolute error = 4.773959005888173e-15 relative error = 4.968705054543521e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.029 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.79 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0.9662441014401826 y[1] (numeric) = 0.9662441014401788 absolute error = 3.774758283725532e-15 relative error = 3.906630092850525e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.04 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.85 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0.9716936665751006 y[1] (numeric) = 0.9716936665750976 absolute error = 2.997602166487923e-15 relative error = 3.084925084521216e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.051 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.91 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0.9771541524435947 y[1] (numeric) = 0.9771541524435926 absolute error = 2.109423746787797e-15 relative error = 2.158742038308599e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.062 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 30.97 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0.9826255440309475 y[1] (numeric) = 0.9826255440309437 absolute error = 3.774758283725532e-15 relative error = 3.841502296226331e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.02 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0.9881078264146672 y[1] (numeric) = 0.9881078264146632 absolute error = 3.996802888650564e-15 relative error = 4.044905608280521e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.085 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.08 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0.99360098476365 y[1] (numeric) = 0.9936009847636436 absolute error = 6.439293542825908e-15 relative error = 6.480764050729717e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.096 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.14 Order of pole (six term test) = -2.493 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0.9991050043373173 y[1] (numeric) = 0.9991050043373149 absolute error = 2.442490654175344e-15 relative error = 2.444678630946695e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.107 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.19 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 1.004619870484817 y[1] (numeric) = 1.004619870484814 absolute error = 3.552713678800501e-15 relative error = 3.536376079328397e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.118 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.25 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 1.010145568644169 y[1] (numeric) = 1.010145568644164 absolute error = 5.10702591327572e-15 relative error = 5.055732630823138e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.13 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.31 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 1.015682084341466 y[1] (numeric) = 1.015682084341464 absolute error = 1.998401444325282e-15 relative error = 1.967546218579782e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.141 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.36 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 1.021229403190091 y[1] (numeric) = 1.021229403190088 absolute error = 3.33066907387547e-15 relative error = 3.261430843521748e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.152 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.42 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 1.026787510889899 y[1] (numeric) = 1.026787510889897 absolute error = 2.442490654175344e-15 relative error = 2.378769344456167e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.163 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.47 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 1.032356393226458 y[1] (numeric) = 1.032356393226456 absolute error = 1.998401444325282e-15 relative error = 1.935767005887967e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.175 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.53 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 1.03793603607027 y[1] (numeric) = 1.037936036070268 absolute error = 1.554312234475219e-15 relative error = 1.497502910063709e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.186 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.59 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 1.043526425376013 y[1] (numeric) = 1.043526425376009 absolute error = 3.996802888650564e-15 relative error = 3.830092646873222e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.197 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.64 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 1.049127547181779 y[1] (numeric) = 1.049127547181777 absolute error = 2.664535259100376e-15 relative error = 2.539762935648757e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.208 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.7 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 1.054739387608356 y[1] (numeric) = 1.054739387608353 absolute error = 3.108624468950438e-15 relative error = 2.947291535209764e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.219 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.75 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 1.060361932858469 y[1] (numeric) = 1.060361932858466 absolute error = 2.886579864025407e-15 relative error = 2.722259046252173e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.231 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.81 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 1.065995169216073 y[1] (numeric) = 1.065995169216069 absolute error = 3.996802888650564e-15 relative error = 3.749363040350166e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.242 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.86 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 1.071639083045625 y[1] (numeric) = 1.071639083045623 absolute error = 2.664535259100376e-15 relative error = 2.486411051310017e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.253 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.92 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 1.077293660791397 y[1] (numeric) = 1.077293660791392 absolute error = 4.884981308350689e-15 relative error = 4.534493691127917e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.264 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 31.97 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 1.082958888976752 y[1] (numeric) = 1.082958888976747 absolute error = 5.10702591327572e-15 relative error = 4.71580774234298e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.275 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.03 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 1.088634754203476 y[1] (numeric) = 1.088634754203472 absolute error = 3.774758283725532e-15 relative error = 3.467424008971143e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.287 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.08 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 1.09432124315109 y[1] (numeric) = 1.094321243151086 absolute error = 3.996802888650564e-15 relative error = 3.652312256263799e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.298 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.14 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 1.100018342576173 y[1] (numeric) = 1.10001834257617 absolute error = 3.108624468950438e-15 relative error = 2.825975121169559e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.309 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.19 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 1.105726039311704 y[1] (numeric) = 1.105726039311701 absolute error = 3.774758283725532e-15 relative error = 3.413827792348325e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.32 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.25 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 1.111444320266396 y[1] (numeric) = 1.111444320266395 absolute error = 1.110223024625157e-15 relative error = 9.989011634510431e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.3 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 1.117173172424063 y[1] (numeric) = 1.117173172424059 absolute error = 3.774758283725532e-15 relative error = 3.378847950255547e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.343 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.36 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 1.122912582842955 y[1] (numeric) = 1.122912582842951 absolute error = 3.33066907387547e-15 relative error = 2.966098274046397e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.354 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.41 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 1.128662538655146 y[1] (numeric) = 1.128662538655142 absolute error = 3.996802888650564e-15 relative error = 3.541185032519056e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.47 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 1.134423027065895 y[1] (numeric) = 1.134423027065892 absolute error = 2.664535259100376e-15 relative error = 2.348802162445528e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.376 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.52 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 1.140194035353034 y[1] (numeric) = 1.140194035353032 absolute error = 1.998401444325282e-15 relative error = 1.752685404731594e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.388 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.58 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 1.145975550866356 y[1] (numeric) = 1.14597555086635 absolute error = 5.329070518200751e-15 relative error = 4.650248004132359e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.399 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.63 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 1.151767561026989 y[1] (numeric) = 1.151767561026989 absolute error = 4.440892098500626e-16 relative error = 3.855719025929888e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.41 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.68 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 1.157570053326848 y[1] (numeric) = 1.157570053326845 absolute error = 2.220446049250313e-15 relative error = 1.918195830022354e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.421 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.74 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 1.163383015327987 y[1] (numeric) = 1.163383015327983 absolute error = 4.218847493575595e-15 relative error = 3.62636160059995e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.433 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.79 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 1.169206434662049 y[1] (numeric) = 1.169206434662045 absolute error = 3.996802888650564e-15 relative error = 3.418389405123153e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.444 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.85 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 1.175040299029686 y[1] (numeric) = 1.17504029902968 absolute error = 5.551115123125783e-15 relative error = 4.724191270469389e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.9 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 1.180884596199975 y[1] (numeric) = 1.18088459619997 absolute error = 4.662936703425657e-15 relative error = 3.948681114505807e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.466 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 32.95 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 1.18673931400987 y[1] (numeric) = 1.186739314009866 absolute error = 3.996802888650564e-15 relative error = 3.36788614101422e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.477 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.01 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 1.192604440363634 y[1] (numeric) = 1.19260444036363 absolute error = 4.440892098500626e-15 relative error = 3.723692406466778e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.489 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.06 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 1.198479963232288 y[1] (numeric) = 1.198479963232286 absolute error = 2.220446049250313e-15 relative error = 1.852718541294419e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.5 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.11 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 1.204365870653078 y[1] (numeric) = 1.204365870653073 absolute error = 5.329070518200751e-15 relative error = 4.424793701029584e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.511 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.17 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 1.210262150728909 y[1] (numeric) = 1.210262150728907 absolute error = 1.77635683940025e-15 relative error = 1.467745511441797e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.522 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.22 Order of pole (six term test) = -2.492 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 1.21616879162785 y[1] (numeric) = 1.216168791627847 absolute error = 2.664535259100376e-15 relative error = 2.190925533892279e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.533 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.27 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 1.222085781582575 y[1] (numeric) = 1.222085781582571 absolute error = 3.774758283725532e-15 relative error = 3.088783406707589e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.545 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.33 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 1.228013108889852 y[1] (numeric) = 1.228013108889851 absolute error = 6.661338147750939e-16 relative error = 5.424484559267384e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.556 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.38 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 1.233950761910046 y[1] (numeric) = 1.233950761910042 absolute error = 4.440892098500626e-15 relative error = 3.59892163900164e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.567 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.43 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 1.239898729066571 y[1] (numeric) = 1.239898729066568 absolute error = 3.33066907387547e-15 relative error = 2.686242832414939e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.578 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.48 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 1.245856998845425 y[1] (numeric) = 1.245856998845423 absolute error = 1.554312234475219e-15 relative error = 1.247584783739747e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.59 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.54 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 1.251825559794675 y[1] (numeric) = 1.251825559794671 absolute error = 3.774758283725532e-15 relative error = 3.015402788504071e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.601 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.59 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 1.257804400523954 y[1] (numeric) = 1.257804400523951 absolute error = 2.664535259100376e-15 relative error = 2.118401921626631e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.612 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.64 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 1.263793509703994 y[1] (numeric) = 1.263793509703993 absolute error = 1.554312234475219e-15 relative error = 1.22987831678236e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.623 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.69 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 1.269792876066138 y[1] (numeric) = 1.269792876066134 absolute error = 3.996802888650564e-15 relative error = 3.147602230241516e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.634 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.75 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 1.275802488401843 y[1] (numeric) = 1.275802488401842 absolute error = 1.110223024625157e-15 relative error = 8.702154406485736e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.646 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.8 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 1.281822335562249 y[1] (numeric) = 1.281822335562245 absolute error = 3.552713678800501e-15 relative error = 2.771611619048724e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.657 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.85 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 1.287852406457668 y[1] (numeric) = 1.287852406457664 absolute error = 4.662936703425657e-15 relative error = 3.620707373022196e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.668 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.9 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 1.293892690057151 y[1] (numeric) = 1.29389269005715 absolute error = 1.332267629550188e-15 relative error = 1.029658517887864e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.679 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 33.96 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 1.299943175388035 y[1] (numeric) = 1.299943175388032 absolute error = 3.552713678800501e-15 relative error = 2.732976137776184e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.69 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.01 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 1.306003851535463 y[1] (numeric) = 1.306003851535459 absolute error = 3.996802888650564e-15 relative error = 3.060330093170506e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.702 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.06 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 1.312074707641964 y[1] (numeric) = 1.312074707641961 absolute error = 3.33066907387547e-15 relative error = 2.538475175595211e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.713 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.11 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 1.318155732907003 y[1] (numeric) = 1.318155732907 absolute error = 3.774758283725532e-15 relative error = 2.863666401086649e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.724 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.16 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 1.324246916586539 y[1] (numeric) = 1.324246916586537 absolute error = 1.998401444325282e-15 relative error = 1.509085216129092e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.735 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.21 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 1.330348247992604 y[1] (numeric) = 1.3303482479926 absolute error = 3.996802888650564e-15 relative error = 3.00432829876045e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.747 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.27 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 1.336459716492853 y[1] (numeric) = 1.336459716492851 absolute error = 2.220446049250313e-15 relative error = 1.661438816186112e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.758 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.32 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 1.342581311510171 y[1] (numeric) = 1.342581311510169 absolute error = 2.664535259100376e-15 relative error = 1.984636041226609e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.769 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.37 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 1.348713022522231 y[1] (numeric) = 1.348713022522226 absolute error = 4.662936703425657e-15 relative error = 3.457323111409936e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.78 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.42 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 1.354854839061078 y[1] (numeric) = 1.354854839061076 absolute error = 2.442490654175344e-15 relative error = 1.802769258932568e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.791 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.47 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 1.361006750712745 y[1] (numeric) = 1.361006750712741 absolute error = 3.552713678800501e-15 relative error = 2.610357132277251e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.803 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.52 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 1.367168747116812 y[1] (numeric) = 1.36716874711681 absolute error = 1.998401444325282e-15 relative error = 1.461707962926786e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.814 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.57 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 1.373340817966034 y[1] (numeric) = 1.373340817966031 absolute error = 3.552713678800501e-15 relative error = 2.586913337406074e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.825 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.62 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 1.379522953005921 y[1] (numeric) = 1.379522953005918 absolute error = 2.886579864025407e-15 relative error = 2.09244786955931e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.836 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.68 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 1.385715142034361 y[1] (numeric) = 1.385715142034357 absolute error = 3.996802888650564e-15 relative error = 2.884288962003315e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.847 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.73 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 1.391917374901218 y[1] (numeric) = 1.391917374901216 absolute error = 2.220446049250313e-15 relative error = 1.595242712885809e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.859 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.78 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 1.398129641507962 y[1] (numeric) = 1.398129641507958 absolute error = 4.662936703425657e-15 relative error = 3.335124701595208e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.87 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.83 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 1.404351931807265 y[1] (numeric) = 1.40435193180726 absolute error = 5.10702591327572e-15 relative error = 3.636571287870463e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.881 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.88 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 1.410584235802643 y[1] (numeric) = 1.410584235802639 absolute error = 3.33066907387547e-15 relative error = 2.361198281774552e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.892 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.93 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 1.416826543548078 y[1] (numeric) = 1.416826543548075 absolute error = 3.108624468950438e-15 relative error = 2.194075543761121e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.904 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 34.98 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 1.423078845147642 y[1] (numeric) = 1.423078845147639 absolute error = 2.886579864025407e-15 relative error = 2.028404732364586e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.915 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.03 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 1.429341130755136 y[1] (numeric) = 1.429341130755132 absolute error = 3.552713678800501e-15 relative error = 2.485560376285797e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.926 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.08 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 1.435613390573721 y[1] (numeric) = 1.435613390573719 absolute error = 2.442490654175344e-15 relative error = 1.701356834794665e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.937 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.13 Order of pole (six term test) = -2.491 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 1.441895614855575 y[1] (numeric) = 1.441895614855571 absolute error = 4.440892098500626e-15 relative error = 3.079898470282427e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.948 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.18 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 1.448187793901515 y[1] (numeric) = 1.44818779390151 absolute error = 4.884981308350689e-15 relative error = 3.37316840324294e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.96 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.23 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 1.454489918060661 y[1] (numeric) = 1.454489918060658 absolute error = 3.33066907387547e-15 relative error = 2.289922420580547e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.971 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.28 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 1.460801977730088 y[1] (numeric) = 1.460801977730086 absolute error = 2.886579864025407e-15 relative error = 1.976024066253529e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.982 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.33 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 1.467123963354477 y[1] (numeric) = 1.467123963354473 absolute error = 3.996802888650564e-15 relative error = 2.724243478044045e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 3.993 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.38 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 1.473455865425765 y[1] (numeric) = 1.473455865425762 absolute error = 3.108624468950438e-15 relative error = 2.109750649404202e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.004 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.43 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 1.479797674482827 y[1] (numeric) = 1.479797674482825 absolute error = 1.998401444325282e-15 relative error = 1.350455862166226e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.016 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.48 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 1.486149381111126 y[1] (numeric) = 1.486149381111124 absolute error = 1.77635683940025e-15 relative error = 1.195274756345254e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.027 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.53 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 1.492510975942388 y[1] (numeric) = 1.492510975942385 absolute error = 3.33066907387547e-15 relative error = 2.23158765835705e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.038 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.58 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 1.498882449654269 y[1] (numeric) = 1.498882449654265 absolute error = 4.440892098500626e-15 relative error = 2.96280211935563e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.049 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.63 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 1.505263792970035 y[1] (numeric) = 1.505263792970031 absolute error = 4.218847493575595e-15 relative error = 2.802729669894863e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.061 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.68 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 1.51165499665824 y[1] (numeric) = 1.511654996658236 absolute error = 3.774758283725532e-15 relative error = 2.49710303744588e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.072 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.73 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 1.518056051532407 y[1] (numeric) = 1.518056051532404 absolute error = 3.552713678800501e-15 relative error = 2.340304677955864e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.083 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.78 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 1.524466948450712 y[1] (numeric) = 1.524466948450709 absolute error = 2.886579864025407e-15 relative error = 1.893501113263876e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.094 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.83 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 1.530887678315672 y[1] (numeric) = 1.530887678315667 absolute error = 4.884981308350689e-15 relative error = 3.190946911092321e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.105 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.88 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 1.537318232073829 y[1] (numeric) = 1.537318232073826 absolute error = 3.108624468950438e-15 relative error = 2.022108633133772e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.117 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.93 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 1.543758600715465 y[1] (numeric) = 1.54375860071546 absolute error = 5.329070518200751e-15 relative error = 3.452010253242288e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.128 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 35.98 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 1.550208775274266 y[1] (numeric) = 1.550208775274261 absolute error = 4.218847493575595e-15 relative error = 2.721470527625667e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.139 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.02 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 1.556668746827052 y[1] (numeric) = 1.556668746827048 absolute error = 4.218847493575595e-15 relative error = 2.710176781139111e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.15 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.07 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 1.56313850649346 y[1] (numeric) = 1.563138506493459 absolute error = 2.220446049250313e-16 relative error = 1.420504990457545e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.161 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.12 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 1.569618045435667 y[1] (numeric) = 1.569618045435664 absolute error = 3.774758283725532e-15 relative error = 2.404889708488156e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.173 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.17 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 1.576107354858071 y[1] (numeric) = 1.576107354858067 absolute error = 3.552713678800501e-15 relative error = 2.254106401984543e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.184 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.22 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 1.582606426007028 y[1] (numeric) = 1.582606426007024 absolute error = 4.662936703425657e-15 relative error = 2.946365329243866e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.195 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.27 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 1.589115250170553 y[1] (numeric) = 1.589115250170549 absolute error = 4.662936703425657e-15 relative error = 2.93429737265765e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.206 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.32 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 1.595633818678036 y[1] (numeric) = 1.595633818678034 absolute error = 1.998401444325282e-15 relative error = 1.252418581840371e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.218 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.37 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 1.602162122899977 y[1] (numeric) = 1.602162122899971 absolute error = 6.217248937900877e-15 relative error = 3.880536712881097e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.229 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.42 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 1.608700154247668 y[1] (numeric) = 1.608700154247665 absolute error = 2.664535259100376e-15 relative error = 1.656328093252707e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.24 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.46 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 1.615247904172971 y[1] (numeric) = 1.615247904172968 absolute error = 2.886579864025407e-15 relative error = 1.787081634074849e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.251 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.51 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 1.621805364168002 y[1] (numeric) = 1.621805364167998 absolute error = 3.996802888650564e-15 relative error = 2.464415876871237e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.56 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 1.62837252576488 y[1] (numeric) = 1.628372525764874 absolute error = 6.661338147750939e-15 relative error = 4.090794976181492e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.274 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.61 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 1.634949380535445 y[1] (numeric) = 1.634949380535442 absolute error = 2.886579864025407e-15 relative error = 1.765546932761951e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.285 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.66 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 1.64153592009102 y[1] (numeric) = 1.641535920091015 absolute error = 4.662936703425657e-15 relative error = 2.840593767309769e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.296 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.71 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 1.648132136082112 y[1] (numeric) = 1.648132136082108 absolute error = 4.218847493575595e-15 relative error = 2.559775033332283e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.307 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.75 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 1.654738020198177 y[1] (numeric) = 1.654738020198173 absolute error = 4.440892098500626e-15 relative error = 2.683743314224913e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.318 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.8 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 1.661353564167349 y[1] (numeric) = 1.661353564167346 absolute error = 2.664535259100376e-15 relative error = 1.603833955980231e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.33 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.85 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 1.667978759756193 y[1] (numeric) = 1.667978759756191 absolute error = 2.442490654175344e-15 relative error = 1.464341581023706e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.341 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.9 Order of pole (six term test) = -2.49 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 1.674613598769445 y[1] (numeric) = 1.674613598769441 absolute error = 4.884981308350689e-15 relative error = 2.917079684495763e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.352 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.94 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 1.681258073049754 y[1] (numeric) = 1.68125807304975 absolute error = 3.552713678800501e-15 relative error = 2.113128100765625e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.363 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 36.99 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 1.687912174477452 y[1] (numeric) = 1.687912174477447 absolute error = 5.10702591327572e-15 relative error = 3.025646707511168e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.375 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.04 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 1.694575894970285 y[1] (numeric) = 1.694575894970283 absolute error = 2.664535259100376e-15 relative error = 1.572390630014892e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.386 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.09 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 1.701249226483192 y[1] (numeric) = 1.701249226483189 absolute error = 3.33066907387547e-15 relative error = 1.957778450110217e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.397 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.14 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 1.707932161008037 y[1] (numeric) = 1.707932161008035 absolute error = 1.998401444325282e-15 relative error = 1.170070738140915e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.408 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.18 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 1.714624690573393 y[1] (numeric) = 1.71462469057339 absolute error = 3.774758283725532e-15 relative error = 2.201507014612745e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.419 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.23 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 1.721326807244279 y[1] (numeric) = 1.721326807244279 absolute error = 4.440892098500626e-16 relative error = 2.579923858625182e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.431 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.28 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 1.728038503121955 y[1] (numeric) = 1.728038503121954 absolute error = 1.554312234475219e-15 relative error = 8.994662049874038e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.442 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.33 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 1.734759770343659 y[1] (numeric) = 1.734759770343655 absolute error = 4.440892098500626e-15 relative error = 2.559946440088864e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.453 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.37 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 1.741490601082386 y[1] (numeric) = 1.741490601082381 absolute error = 4.884981308350689e-15 relative error = 2.805057521019369e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.464 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.42 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 1.74823098754666 y[1] (numeric) = 1.748230987546659 absolute error = 1.554312234475219e-15 relative error = 8.890771560206855e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.475 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.47 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 1.754980921980319 y[1] (numeric) = 1.754980921980316 absolute error = 2.664535259100376e-15 relative error = 1.518270213498228e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.487 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.52 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 1.761740396662259 y[1] (numeric) = 1.761740396662256 absolute error = 2.220446049250313e-15 relative error = 1.260370741033755e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.498 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.56 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 1.768509403906239 y[1] (numeric) = 1.768509403906234 absolute error = 5.10702591327572e-15 relative error = 2.887757284182629e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.509 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.61 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 1.775287936060637 y[1] (numeric) = 1.775287936060633 absolute error = 4.218847493575595e-15 relative error = 2.376429990808823e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.52 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.66 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 1.782075985508253 y[1] (numeric) = 1.782075985508248 absolute error = 4.440892098500626e-15 relative error = 2.491976848694289e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.532 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.7 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 1.788873544666069 y[1] (numeric) = 1.788873544666067 absolute error = 2.220446049250313e-15 relative error = 1.24125377999528e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.543 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.75 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 1.795680605985055 y[1] (numeric) = 1.795680605985052 absolute error = 3.108624468950438e-15 relative error = 1.731167813802356e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.554 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.8 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 1.802497161949931 y[1] (numeric) = 1.80249716194993 absolute error = 1.332267629550188e-15 relative error = 7.391232883323646e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.84 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 1.809323205078976 y[1] (numeric) = 1.809323205078977 absolute error = 2.220446049250313e-16 relative error = 1.227224656720959e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.576 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.89 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 1.816158727923811 y[1] (numeric) = 1.816158727923809 absolute error = 1.77635683940025e-15 relative error = 9.780845760276354e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.588 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.94 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 1.823003723069177 y[1] (numeric) = 1.823003723069176 absolute error = 1.110223024625157e-15 relative error = 6.090075464881688e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.599 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 37.98 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 1.829858183132753 y[1] (numeric) = 1.829858183132749 absolute error = 3.774758283725532e-15 relative error = 2.062869307862467e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.61 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.03 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 1.836722100764924 y[1] (numeric) = 1.836722100764922 absolute error = 1.998401444325282e-15 relative error = 1.088026023911306e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.621 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.08 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 1.843595468648606 y[1] (numeric) = 1.843595468648605 absolute error = 1.110223024625157e-15 relative error = 6.022053338192316e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.632 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.12 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 1.850478279499025 y[1] (numeric) = 1.850478279499023 absolute error = 1.77635683940025e-15 relative error = 9.59944712175254e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.644 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.17 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 1.857370526063521 y[1] (numeric) = 1.857370526063518 absolute error = 3.33066907387547e-15 relative error = 1.793217361392307e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.655 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.22 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 1.86427220112135 y[1] (numeric) = 1.864272201121349 absolute error = 8.881784197001252e-16 relative error = 4.764209964434864e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.666 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.26 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 1.871183297483498 y[1] (numeric) = 1.871183297483497 absolute error = 2.220446049250313e-16 relative error = 1.186653414572762e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.677 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.31 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 1.878103807992472 y[1] (numeric) = 1.878103807992471 absolute error = 1.110223024625157e-15 relative error = 5.91140393784669e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.689 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.35 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 1.885033725522113 y[1] (numeric) = 1.885033725522112 absolute error = 2.220446049250313e-16 relative error = 1.177934388752275e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.7 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.4 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 1.891973042977408 y[1] (numeric) = 1.891973042977406 absolute error = 1.554312234475219e-15 relative error = 8.215297994041132e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.711 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.45 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 1.898921753294291 y[1] (numeric) = 1.89892175329429 absolute error = 1.554312234475219e-15 relative error = 8.185235814897396e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.49 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 1.905879849439465 y[1] (numeric) = 1.905879849439467 absolute error = 2.442490654175344e-15 relative error = 1.28155542170914e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.733 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.54 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 1.912847324410216 y[1] (numeric) = 1.912847324410219 absolute error = 3.108624468950438e-15 relative error = 1.625129423180135e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.745 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.58 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 1.91982417123422 y[1] (numeric) = 1.91982417123422 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 = 4.756 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.63 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 1.926810382969355 y[1] (numeric) = 1.926810382969355 absolute error = 4.440892098500626e-16 relative error = 2.304789375100257e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.767 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.68 Order of pole (six term test) = -2.489 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 1.933805952703536 y[1] (numeric) = 1.933805952703537 absolute error = 1.332267629550188e-15 relative error = 6.88935530314004e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.778 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.72 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 1.940810873554524 y[1] (numeric) = 1.940810873554526 absolute error = 2.220446049250313e-15 relative error = 1.144081620474254e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.789 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.77 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 1.947825138669752 y[1] (numeric) = 1.947825138669753 absolute error = 6.661338147750939e-16 relative error = 3.419885089017916e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.801 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.81 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 1.954848741226134 y[1] (numeric) = 1.954848741226137 absolute error = 2.886579864025407e-15 relative error = 1.476625686248679e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.812 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.86 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 1.961881674429914 y[1] (numeric) = 1.961881674429915 absolute error = 1.332267629550188e-15 relative error = 6.790764432504932e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.9 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 1.968923931516461 y[1] (numeric) = 1.968923931516465 absolute error = 3.552713678800501e-15 relative error = 1.804393568452494e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.834 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.95 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 1.975975505750128 y[1] (numeric) = 1.975975505750131 absolute error = 2.442490654175344e-15 relative error = 1.236093588745229e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.846 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 38.99 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 1.983036390424053 y[1] (numeric) = 1.983036390424056 absolute error = 2.664535259100376e-15 relative error = 1.343664328081539e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.857 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.04 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 1.990106578860003 y[1] (numeric) = 1.990106578860006 absolute error = 3.552713678800501e-15 relative error = 1.785187645998141e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.868 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.09 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 1.997186064408207 y[1] (numeric) = 1.997186064408207 absolute error = 4.440892098500626e-16 relative error = 2.223574547029759e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.879 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.13 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 2.004274840447175 y[1] (numeric) = 2.004274840447174 absolute error = 4.440892098500626e-16 relative error = 2.215710145575552e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.89 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.18 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 2.011372900383541 y[1] (numeric) = 2.011372900383545 absolute error = 3.552713678800501e-15 relative error = 1.766312789698542e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.902 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.22 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 2.018480237651915 y[1] (numeric) = 2.018480237651916 absolute error = 8.881784197001252e-16 relative error = 4.400233418848516e-14 % Correct digits = 16 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.913 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.27 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 2.025596845714677 y[1] (numeric) = 2.025596845714682 absolute error = 4.440892098500626e-15 relative error = 2.19238695394679e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.924 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.31 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 2.032722718061864 y[1] (numeric) = 2.032722718061867 absolute error = 2.220446049250313e-15 relative error = 1.092350682914312e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.935 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.36 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 2.039857848210967 y[1] (numeric) = 2.03985784821097 absolute error = 3.108624468950438e-15 relative error = 1.523941715682208e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.946 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.4 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 2.0470022297068 y[1] (numeric) = 2.047002229706804 absolute error = 4.440892098500626e-15 relative error = 2.169461290297037e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.958 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.45 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 2.05415585612133 y[1] (numeric) = 2.054155856121335 absolute error = 4.440892098500626e-15 relative error = 2.161906111100034e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.969 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.49 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 2.061318721053523 y[1] (numeric) = 2.061318721053527 absolute error = 3.552713678800501e-15 relative error = 1.723514972485545e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.98 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.54 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 2.068490818129181 y[1] (numeric) = 2.068490818129186 absolute error = 5.329070518200751e-15 relative error = 2.57630851995783e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 4.991 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.58 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 2.075672141000802 y[1] (numeric) = 2.075672141000808 absolute error = 6.661338147750939e-15 relative error = 3.209243895588984e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.003 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.63 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 2.082862683347416 y[1] (numeric) = 2.082862683347421 absolute error = 4.884981308350689e-15 relative error = 2.345320864119532e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.014 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.67 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 2.090062438874428 y[1] (numeric) = 2.090062438874436 absolute error = 7.993605777301127e-15 relative error = 3.824577499993714e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.025 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.71 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 2.097271401313492 y[1] (numeric) = 2.097271401313497 absolute error = 4.440892098500626e-15 relative error = 2.117461810483544e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.036 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.76 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 2.104489564422325 y[1] (numeric) = 2.104489564422327 absolute error = 2.220446049250313e-15 relative error = 1.055099577013022e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.047 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.8 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 2.111716921984579 y[1] (numeric) = 2.111716921984586 absolute error = 7.105427357601002e-15 relative error = 3.36476318564676e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.059 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.85 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 2.118953467809714 y[1] (numeric) = 2.118953467809718 absolute error = 3.552713678800501e-15 relative error = 1.676636005826411e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.07 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.89 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 2.126199195732806 y[1] (numeric) = 2.126199195732808 absolute error = 2.220446049250313e-15 relative error = 1.044326445850726e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.081 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.94 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 2.133454099614431 y[1] (numeric) = 2.133454099614436 absolute error = 4.884981308350689e-15 relative error = 2.289705369913291e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 39.98 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 2.140718173340529 y[1] (numeric) = 2.140718173340533 absolute error = 3.996802888650564e-15 relative error = 1.867038332474035e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.103 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.03 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 2.147991410822234 y[1] (numeric) = 2.147991410822239 absolute error = 4.884981308350689e-15 relative error = 2.274208958070627e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.115 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.07 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 2.155273805995758 y[1] (numeric) = 2.155273805995761 absolute error = 2.664535259100376e-15 relative error = 1.236286197924321e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.126 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.11 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 2.162565352822222 y[1] (numeric) = 2.162565352822231 absolute error = 8.881784197001252e-15 relative error = 4.107059324431614e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.137 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.16 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 2.169866045287566 y[1] (numeric) = 2.169866045287571 absolute error = 5.329070518200751e-15 relative error = 2.455944471675672e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.148 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.2 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 2.177175877402344 y[1] (numeric) = 2.177175877402349 absolute error = 5.329070518200751e-15 relative error = 2.447698678601488e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.159 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.25 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 2.18449484320164 y[1] (numeric) = 2.184494843201645 absolute error = 4.884981308350689e-15 relative error = 2.236206381330322e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.171 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.29 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 2.191822936744906 y[1] (numeric) = 2.191822936744914 absolute error = 7.993605777301127e-15 relative error = 3.647012558948988e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.182 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.33 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 2.199160152115848 y[1] (numeric) = 2.199160152115852 absolute error = 3.996802888650564e-15 relative error = 1.817422384997825e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.193 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.38 Order of pole (six term test) = -2.488 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 2.206506483422249 y[1] (numeric) = 2.206506483422259 absolute error = 9.769962616701378e-15 relative error = 4.42779692246739e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.204 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.42 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 2.213861924795899 y[1] (numeric) = 2.213861924795909 absolute error = 9.325873406851315e-15 relative error = 4.212490987987467e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.216 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.47 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 2.221226470392408 y[1] (numeric) = 2.221226470392416 absolute error = 7.549516567451064e-15 relative error = 3.398805420375413e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.227 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.51 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 2.228600114391093 y[1] (numeric) = 2.228600114391103 absolute error = 1.06581410364015e-14 relative error = 4.78243762421845e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.238 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.55 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 2.235982850994865 y[1] (numeric) = 2.235982850994874 absolute error = 9.325873406851315e-15 relative error = 4.1708161593019e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.249 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.6 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 2.243374674430072 y[1] (numeric) = 2.243374674430081 absolute error = 8.881784197001252e-15 relative error = 3.959117617861877e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.26 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.64 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 2.250775578946392 y[1] (numeric) = 2.2507755789464 absolute error = 7.993605777301127e-15 relative error = 3.55148947414962e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.272 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.68 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 2.258185558816693 y[1] (numeric) = 2.2581855588167 absolute error = 6.217248937900877e-15 relative error = 2.753205516538137e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.283 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.73 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 2.265604608336909 y[1] (numeric) = 2.265604608336919 absolute error = 1.06581410364015e-14 relative error = 4.704325281287818e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.294 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.77 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 2.273032721825931 y[1] (numeric) = 2.273032721825941 absolute error = 9.325873406851315e-15 relative error = 4.102832888107226e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.305 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.81 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 2.280469893625456 y[1] (numeric) = 2.280469893625464 absolute error = 8.43769498715119e-15 relative error = 3.699980872686318e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.316 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.86 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 2.287916118099876 y[1] (numeric) = 2.287916118099888 absolute error = 1.154631945610163e-14 relative error = 5.046653312487214e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.328 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.9 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 2.295371389636169 y[1] (numeric) = 2.29537138963618 absolute error = 1.021405182655144e-14 relative error = 4.449847145725046e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.339 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.94 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 2.302835702643752 y[1] (numeric) = 2.302835702643762 absolute error = 9.769962616701378e-15 relative error = 4.242579097364632e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.35 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 40.99 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 2.310309051554381 y[1] (numeric) = 2.310309051554386 absolute error = 4.884981308350689e-15 relative error = 2.114427636884365e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.361 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.03 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 2.317791430822011 y[1] (numeric) = 2.317791430822016 absolute error = 5.329070518200751e-15 relative error = 2.29920192444183e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.373 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.07 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 2.325282834922702 y[1] (numeric) = 2.325282834922708 absolute error = 6.217248937900877e-15 relative error = 2.673760303274055e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.384 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.12 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 2.332783258354483 y[1] (numeric) = 2.33278325835449 absolute error = 7.105427357601002e-15 relative error = 3.045901213562842e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.395 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.16 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 2.340292695637244 y[1] (numeric) = 2.340292695637251 absolute error = 7.105427357601002e-15 relative error = 3.036127647984753e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.406 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.2 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 2.34781114131261 y[1] (numeric) = 2.347811141312617 absolute error = 7.549516567451064e-15 relative error = 3.215555303664798e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.417 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.25 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 2.355338589943833 y[1] (numeric) = 2.355338589943843 absolute error = 9.325873406851315e-15 relative error = 3.959461899307523e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.429 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.29 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 2.362875036115687 y[1] (numeric) = 2.362875036115692 absolute error = 4.884981308350689e-15 relative error = 2.067388767364132e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.44 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.33 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 2.370420474434312 y[1] (numeric) = 2.370420474434325 absolute error = 1.243449787580175e-14 relative error = 5.245692909722769e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.451 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.38 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 2.377974899527178 y[1] (numeric) = 2.377974899527188 absolute error = 1.06581410364015e-14 relative error = 4.48202419568041e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.462 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.42 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 2.385538306042892 y[1] (numeric) = 2.385538306042899 absolute error = 7.549516567451064e-15 relative error = 3.164701463115103e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.473 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.46 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 2.393110688651127 y[1] (numeric) = 2.393110688651137 absolute error = 9.325873406851315e-15 relative error = 3.896967010793733e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.485 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.5 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 2.40069204204252 y[1] (numeric) = 2.400692042042529 absolute error = 8.43769498715119e-15 relative error = 3.514692779992038e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.496 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.55 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 2.408282360928534 y[1] (numeric) = 2.408282360928546 absolute error = 1.199040866595169e-14 relative error = 4.978821777911741e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.507 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.59 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 2.41588164004138 y[1] (numeric) = 2.415881640041391 absolute error = 1.06581410364015e-14 relative error = 4.411698346372195e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.518 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.63 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 2.423489874133876 y[1] (numeric) = 2.423489874133887 absolute error = 1.154631945610163e-14 relative error = 4.764335753714727e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.53 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.67 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 2.431107057979366 y[1] (numeric) = 2.431107057979378 absolute error = 1.199040866595169e-14 relative error = 4.932077600859591e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.541 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.72 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 2.438733186371604 y[1] (numeric) = 2.438733186371616 absolute error = 1.199040866595169e-14 relative error = 4.916654570068512e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.552 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.76 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 2.446368254124645 y[1] (numeric) = 2.446368254124656 absolute error = 1.021405182655144e-14 relative error = 4.175189818348183e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.563 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.8 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 2.454012256072739 y[1] (numeric) = 2.454012256072755 absolute error = 1.554312234475219e-14 relative error = 6.333759053683993e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.574 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.84 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 2.46166518707025 y[1] (numeric) = 2.461665187070263 absolute error = 1.243449787580175e-14 relative error = 5.051254712100253e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.586 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.89 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 2.469327041991511 y[1] (numeric) = 2.469327041991522 absolute error = 1.06581410364015e-14 relative error = 4.31621282039892e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.597 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.93 Order of pole (six term test) = -2.487 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 2.476997815730753 y[1] (numeric) = 2.476997815730764 absolute error = 1.110223024625157e-14 relative error = 4.482131625528396e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.608 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 41.97 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = 2.484677503201992 y[1] (numeric) = 2.484677503202005 absolute error = 1.287858708565182e-14 relative error = 5.183202676828379e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.619 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.01 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = 2.492366099338932 y[1] (numeric) = 2.492366099338948 absolute error = 1.598721155460225e-14 relative error = 6.414471597428106e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.63 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.06 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 2.500063599094867 y[1] (numeric) = 2.500063599094881 absolute error = 1.4210854715202e-14 relative error = 5.684197282159926e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.642 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.1 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = 2.507769997442565 y[1] (numeric) = 2.507769997442577 absolute error = 1.199040866595169e-14 relative error = 4.781303180985323e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.653 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.14 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = 2.51548528937418 y[1] (numeric) = 2.515485289374192 absolute error = 1.199040866595169e-14 relative error = 4.766638356662681e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.664 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.18 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = 2.523209469901159 y[1] (numeric) = 2.523209469901173 absolute error = 1.4210854715202e-14 relative error = 5.632055080927816e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.675 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.22 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = 2.530942534054139 y[1] (numeric) = 2.530942534054153 absolute error = 1.465494392505207e-14 relative error = 5.790310814199855e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.686 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.27 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = 2.538684476882845 y[1] (numeric) = 2.53868447688286 absolute error = 1.554312234475219e-14 relative error = 6.1225104916689e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.698 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.31 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 2.546435293456002 y[1] (numeric) = 2.546435293456016 absolute error = 1.4210854715202e-14 relative error = 5.580685577097522e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.709 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.35 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = 2.554194978861225 y[1] (numeric) = 2.554194978861242 absolute error = 1.731947918415244e-14 relative error = 6.780797600610055e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.72 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.39 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = 2.561963528204954 y[1] (numeric) = 2.561963528204967 absolute error = 1.243449787580175e-14 relative error = 4.853503080316687e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.731 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.43 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 2.569740936612314 y[1] (numeric) = 2.569740936612328 absolute error = 1.376676550535194e-14 relative error = 5.357258122486327e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.743 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.47 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = 2.577527199227066 y[1] (numeric) = 2.577527199227079 absolute error = 1.332267629550188e-14 relative error = 5.168782040203885e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.754 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.52 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = 2.585322311211488 y[1] (numeric) = 2.585322311211499 absolute error = 1.06581410364015e-14 relative error = 4.122557945746839e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.765 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.56 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = 2.593126267746281 y[1] (numeric) = 2.593126267746296 absolute error = 1.509903313490213e-14 relative error = 5.822714197417347e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.776 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.6 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = 2.600939064030505 y[1] (numeric) = 2.600939064030519 absolute error = 1.376676550535194e-14 relative error = 5.292998092780569e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.787 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.64 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = 2.608760695281447 y[1] (numeric) = 2.608760695281463 absolute error = 1.643130076445232e-14 relative error = 6.29850825112942e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.799 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.68 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = 2.616591156734568 y[1] (numeric) = 2.616591156734583 absolute error = 1.509903313490213e-14 relative error = 5.770497655333093e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.81 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.72 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = 2.624430443643383 y[1] (numeric) = 2.624430443643398 absolute error = 1.554312234475219e-14 relative error = 5.922474486759249e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.821 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.77 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = 2.632278551279394 y[1] (numeric) = 2.632278551279409 absolute error = 1.4210854715202e-14 relative error = 5.398689552933123e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.832 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.81 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = 2.640135474931984 y[1] (numeric) = 2.640135474932002 absolute error = 1.77635683940025e-14 relative error = 6.72827912153263e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.843 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.85 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = 2.648001209908349 y[1] (numeric) = 2.648001209908368 absolute error = 1.909583602355269e-14 relative error = 7.211415142900795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.855 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.89 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = 2.655875751533392 y[1] (numeric) = 2.655875751533408 absolute error = 1.687538997430238e-14 relative error = 6.353983225517698e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.866 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.93 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = 2.663759095149635 y[1] (numeric) = 2.663759095149654 absolute error = 1.909583602355269e-14 relative error = 7.168754884149912e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.877 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 42.97 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = 2.671651236117158 y[1] (numeric) = 2.671651236117174 absolute error = 1.598721155460225e-14 relative error = 5.984018923756402e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.888 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.01 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = 2.679552169813473 y[1] (numeric) = 2.679552169813492 absolute error = 1.909583602355269e-14 relative error = 7.126502793517909e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.9 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.06 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = 2.687461891633489 y[1] (numeric) = 2.687461891633503 absolute error = 1.465494392505207e-14 relative error = 5.453079714609282e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.911 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.1 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = 2.695380396989368 y[1] (numeric) = 2.695380396989385 absolute error = 1.731947918415244e-14 relative error = 6.425615918071381e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.922 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.14 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = 2.703307681310502 y[1] (numeric) = 2.703307681310517 absolute error = 1.465494392505207e-14 relative error = 5.421115778411018e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.933 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.18 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = 2.711243740043378 y[1] (numeric) = 2.711243740043394 absolute error = 1.643130076445232e-14 relative error = 6.0604292125316e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.944 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.22 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 2.71918856865153 y[1] (numeric) = 2.719188568651548 absolute error = 1.731947918415244e-14 relative error = 6.369355690819679e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.956 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.26 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = 2.727142162615442 y[1] (numeric) = 2.727142162615459 absolute error = 1.731947918415244e-14 relative error = 6.350779736228473e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.967 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.3 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 2.735104517432466 y[1] (numeric) = 2.735104517432481 absolute error = 1.465494392505207e-14 relative error = 5.358092837640131e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.978 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.34 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = 2.743075628616736 y[1] (numeric) = 2.743075628616754 absolute error = 1.820765760385257e-14 relative error = 6.637679768615869e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 5.989 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.38 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = 2.75105549169911 y[1] (numeric) = 2.751055491699128 absolute error = 1.731947918415244e-14 relative error = 6.295576093034591e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.42 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = 2.759044102227058 y[1] (numeric) = 2.759044102227078 absolute error = 1.998401444325282e-14 relative error = 7.243093514569785e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.012 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.47 Order of pole (six term test) = -2.486 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = 2.767041455764613 y[1] (numeric) = 2.767041455764629 absolute error = 1.598721155460225e-14 relative error = 5.777727515175419e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.023 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.51 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = 2.775047547892257 y[1] (numeric) = 2.775047547892277 absolute error = 1.998401444325282e-14 relative error = 7.201323256039832e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.034 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.55 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = 2.783062374206884 y[1] (numeric) = 2.783062374206904 absolute error = 1.998401444325282e-14 relative error = 7.180584462807038e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.045 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.59 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = 2.791085930321692 y[1] (numeric) = 2.791085930321707 absolute error = 1.554312234475219e-14 relative error = 5.568844074593124e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.056 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.63 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = 2.799118211866097 y[1] (numeric) = 2.799118211866118 absolute error = 2.131628207280301e-14 relative error = 7.615356144102257e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.068 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.67 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = 2.807159214485708 y[1] (numeric) = 2.807159214485726 absolute error = 1.77635683940025e-14 relative error = 6.327951867616786e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.079 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.71 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = 2.81520893384218 y[1] (numeric) = 2.815208933842199 absolute error = 1.909583602355269e-14 relative error = 6.783097266422358e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.09 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.75 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = 2.823267365613191 y[1] (numeric) = 2.823267365613213 absolute error = 2.220446049250313e-14 relative error = 7.864809675112191e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.101 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.79 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = 2.831334505492353 y[1] (numeric) = 2.831334505492372 absolute error = 1.865174681370263e-14 relative error = 6.587616820803445e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.113 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.83 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = 2.839410349189111 y[1] (numeric) = 2.839410349189134 absolute error = 2.309263891220326e-14 relative error = 8.132899465833859e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.124 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.87 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = 2.84749489242872 y[1] (numeric) = 2.847494892428739 absolute error = 1.909583602355269e-14 relative error = 6.7061879809959e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.135 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.91 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = 2.855588130952111 y[1] (numeric) = 2.855588130952128 absolute error = 1.77635683940025e-14 relative error = 6.220633921769304e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.146 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.95 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = 2.863690060515858 y[1] (numeric) = 2.863690060515879 absolute error = 2.087219286295294e-14 relative error = 7.288565599586247e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.157 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 43.99 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = 2.871800676892109 y[1] (numeric) = 2.871800676892126 absolute error = 1.687538997430238e-14 relative error = 5.876239987715684e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.169 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.03 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = 2.87991997586847 y[1] (numeric) = 2.87991997586849 absolute error = 1.998401444325282e-14 relative error = 6.939086714458595e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.18 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.07 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = 2.888047953247987 y[1] (numeric) = 2.888047953248005 absolute error = 1.77635683940025e-14 relative error = 6.150717952596685e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.191 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.11 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = 2.896184604849026 y[1] (numeric) = 2.896184604849048 absolute error = 2.264854970235319e-14 relative error = 7.820133310712709e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.202 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.15 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = 2.904329926505247 y[1] (numeric) = 2.904329926505269 absolute error = 2.131628207280301e-14 relative error = 7.339483671695896e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.213 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.19 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = 2.912483914065491 y[1] (numeric) = 2.912483914065513 absolute error = 2.220446049250313e-14 relative error = 7.62389120340523e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.225 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.23 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = 2.920646563393742 y[1] (numeric) = 2.92064656339376 absolute error = 1.820765760385257e-14 relative error = 6.234118784539125e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.236 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.28 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = 2.928817870369027 y[1] (numeric) = 2.928817870369047 absolute error = 1.953992523340276e-14 relative error = 6.67160817034374e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.247 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.32 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = 2.936997830885383 y[1] (numeric) = 2.936997830885401 absolute error = 1.731947918415244e-14 relative error = 5.897001013082579e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.258 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.36 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = 2.94518644085175 y[1] (numeric) = 2.945186440851772 absolute error = 2.176037128265307e-14 relative error = 7.388452894126443e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.27 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.4 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = 2.953383696191935 y[1] (numeric) = 2.953383696191961 absolute error = 2.575717417130363e-14 relative error = 8.721242080571748e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.281 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.44 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = 2.961589592844535 y[1] (numeric) = 2.961589592844556 absolute error = 2.087219286295294e-14 relative error = 7.047631756061686e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.292 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.48 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = 2.969804126762834 y[1] (numeric) = 2.969804126762859 absolute error = 2.486899575160351e-14 relative error = 8.373951509964187e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.303 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.52 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = 2.9780272939148 y[1] (numeric) = 2.978027293914823 absolute error = 2.264854970235319e-14 relative error = 7.60521898124724e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.314 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.55 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = 2.986259090282962 y[1] (numeric) = 2.986259090282984 absolute error = 2.264854970235319e-14 relative error = 7.584254754066614e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.326 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.59 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = 2.994499511864369 y[1] (numeric) = 2.994499511864393 absolute error = 2.442490654175344e-14 relative error = 8.156590590507911e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.337 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.63 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = 3.002748554670532 y[1] (numeric) = 3.002748554670553 absolute error = 2.131628207280301e-14 relative error = 7.098923431216795e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.348 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.67 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = 3.011006214727327 y[1] (numeric) = 3.011006214727349 absolute error = 2.220446049250313e-14 relative error = 7.374431970248835e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.359 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.71 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = 3.019272488074964 y[1] (numeric) = 3.019272488074988 absolute error = 2.442490654175344e-14 relative error = 8.089666182241917e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.37 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.75 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = 3.027547370767907 y[1] (numeric) = 3.027547370767929 absolute error = 2.220446049250313e-14 relative error = 7.334141393424735e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.382 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.79 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = 3.035830858874801 y[1] (numeric) = 3.035830858874824 absolute error = 2.309263891220326e-14 relative error = 7.606694834363169e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.393 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.83 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = 3.044122948478427 y[1] (numeric) = 3.04412294847845 absolute error = 2.309263891220326e-14 relative error = 7.585974450784214e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.404 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.87 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = 3.052423635675618 y[1] (numeric) = 3.052423635675644 absolute error = 2.620126338115369e-14 relative error = 8.583757206870911e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.415 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.91 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = 3.060732916577221 y[1] (numeric) = 3.060732916577247 absolute error = 2.620126338115369e-14 relative error = 8.56045401388836e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.426 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.95 Order of pole (six term test) = -2.485 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = 3.069050787308008 y[1] (numeric) = 3.069050787308033 absolute error = 2.486899575160351e-14 relative error = 8.103155494998223e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.438 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 44.99 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = 3.077377244006627 y[1] (numeric) = 3.077377244006652 absolute error = 2.486899575160351e-14 relative error = 8.081230794839123e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.449 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.03 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = 3.085712282825544 y[1] (numeric) = 3.085712282825566 absolute error = 2.176037128265307e-14 relative error = 7.051976752261361e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.46 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.07 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = 3.094055899930963 y[1] (numeric) = 3.094055899930986 absolute error = 2.309263891220326e-14 relative error = 7.463549353687669e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.471 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.11 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = 3.102408091502787 y[1] (numeric) = 3.102408091502814 absolute error = 2.708944180085382e-14 relative error = 8.731746759895752e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.483 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.15 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = 3.110768853734553 y[1] (numeric) = 3.110768853734579 absolute error = 2.620126338115369e-14 relative error = 8.422761257140159e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.19 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = 3.119138182833355 y[1] (numeric) = 3.11913818283338 absolute error = 2.531308496145357e-14 relative error = 8.115409923410233e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.505 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.23 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = 3.127516075019799 y[1] (numeric) = 3.127516075019821 absolute error = 2.220446049250313e-14 relative error = 7.099711067788058e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.516 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.27 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = 3.135902526527928 y[1] (numeric) = 3.135902526527955 absolute error = 2.708944180085382e-14 relative error = 8.638483362187681e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.527 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.31 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = 3.144297533605198 y[1] (numeric) = 3.144297533605225 absolute error = 2.708944180085382e-14 relative error = 8.615419346079991e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.539 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.35 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = 3.152701092512377 y[1] (numeric) = 3.1527010925124 absolute error = 2.353672812205332e-14 relative error = 7.46557552758577e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.55 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.38 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = 3.161113199523499 y[1] (numeric) = 3.161113199523524 absolute error = 2.531308496145357e-14 relative error = 8.007649003290747e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.561 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.42 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = 3.169533850925824 y[1] (numeric) = 3.16953385092585 absolute error = 2.575717417130363e-14 relative error = 8.126486538006191e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.572 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.46 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = 3.177963043019759 y[1] (numeric) = 3.177963043019787 absolute error = 2.797762022055394e-14 relative error = 8.803632969239658e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.583 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.5 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = 3.186400772118814 y[1] (numeric) = 3.186400772118841 absolute error = 2.753353101070388e-14 relative error = 8.640950395073912e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.595 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.54 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = 3.19484703454953 y[1] (numeric) = 3.194847034549557 absolute error = 2.708944180085382e-14 relative error = 8.479104479151818e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.606 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.58 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = 3.203301826651437 y[1] (numeric) = 3.203301826651462 absolute error = 2.531308496145357e-14 relative error = 7.902185410955962e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.617 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.62 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = 3.211765144776983 y[1] (numeric) = 3.211765144777011 absolute error = 2.797762022055394e-14 relative error = 8.710979464376945e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.628 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.66 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = 3.2202369852915 y[1] (numeric) = 3.220236985291527 absolute error = 2.753353101070388e-14 relative error = 8.55015675444505e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.639 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.7 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = 3.228717344573123 y[1] (numeric) = 3.228717344573148 absolute error = 2.486899575160351e-14 relative error = 7.70243818134272e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.651 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.74 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = 3.237206219012743 y[1] (numeric) = 3.23720621901277 absolute error = 2.708944180085382e-14 relative error = 8.368154503643373e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.662 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.77 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = 3.245703605013962 y[1] (numeric) = 3.245703605013992 absolute error = 2.930988785010413e-14 relative error = 9.030364881385418e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.673 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.81 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = 3.254209498993033 y[1] (numeric) = 3.25420949899306 absolute error = 2.664535259100376e-14 relative error = 8.1879647266867e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.684 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.85 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = 3.262723897378789 y[1] (numeric) = 3.262723897378816 absolute error = 2.708944180085382e-14 relative error = 8.30270738587993e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.696 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.89 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 3.271246796612612 y[1] (numeric) = 3.27124679661264 absolute error = 2.797762022055394e-14 relative error = 8.552586203378136e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.707 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.93 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = 3.279778193148369 y[1] (numeric) = 3.279778193148396 absolute error = 2.708944180085382e-14 relative error = 8.259534701903044e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.718 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 45.97 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = 3.288318083452355 y[1] (numeric) = 3.288318083452384 absolute error = 2.886579864025407e-14 relative error = 8.778286621818627e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.729 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.01 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = 3.296866464003248 y[1] (numeric) = 3.296866464003277 absolute error = 2.886579864025407e-14 relative error = 8.75552557418523e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.74 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.05 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = 3.30542333129205 y[1] (numeric) = 3.305423331292078 absolute error = 2.842170943040401e-14 relative error = 8.598508143068714e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.752 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.08 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = 3.313988681822035 y[1] (numeric) = 3.313988681822062 absolute error = 2.620126338115369e-14 relative error = 7.906262180336779e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.763 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.12 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = 3.322562512108693 y[1] (numeric) = 3.322562512108721 absolute error = 2.797762022055394e-14 relative error = 8.420494759268714e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.774 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.16 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = 3.331144818679693 y[1] (numeric) = 3.331144818679721 absolute error = 2.797762022055394e-14 relative error = 8.398800335448322e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.785 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.2 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = 3.339735598074813 y[1] (numeric) = 3.33973559807484 absolute error = 2.664535259100376e-14 relative error = 7.978282055131383e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.796 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.24 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = 3.348334846845892 y[1] (numeric) = 3.348334846845923 absolute error = 3.153033389935445e-14 relative error = 9.416720651178541e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.808 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.28 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 3.356942561556804 y[1] (numeric) = 3.356942561556831 absolute error = 2.708944180085382e-14 relative error = 8.069676887259851e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.32 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = 3.365558738783355 y[1] (numeric) = 3.365558738783385 absolute error = 3.019806626980426e-14 relative error = 8.972675449640442e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.83 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.35 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = 3.374183375113295 y[1] (numeric) = 3.374183375113322 absolute error = 2.664535259100376e-14 relative error = 7.896830026349438e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.841 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.39 Order of pole (six term test) = -2.484 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = 3.382816467146207 y[1] (numeric) = 3.382816467146238 absolute error = 3.153033389935445e-14 relative error = 9.320734425167883e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.853 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.43 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = 3.391458011493518 y[1] (numeric) = 3.391458011493545 absolute error = 2.753353101070388e-14 relative error = 8.118493850548592e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.864 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.47 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = 3.400108004778388 y[1] (numeric) = 3.400108004778417 absolute error = 2.842170943040401e-14 relative error = 8.359060768205354e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.875 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.51 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = 3.408766443635711 y[1] (numeric) = 3.408766443635739 absolute error = 2.797762022055394e-14 relative error = 8.207549764164442e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.886 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.55 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = 3.417433324712035 y[1] (numeric) = 3.417433324712064 absolute error = 2.886579864025407e-14 relative error = 8.446631110992165e-13 % Correct digits = 15 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 Radius of convergence (six term test) for eq 1 = 46.58 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = 3.426108644665531 y[1] (numeric) = 3.426108644665559 absolute error = 2.842170943040401e-14 relative error = 8.295624096642924e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.909 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.62 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = 3.434792400165927 y[1] (numeric) = 3.434792400165958 absolute error = 3.153033389935445e-14 relative error = 9.179691295995439e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.92 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.66 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = 3.443484587894485 y[1] (numeric) = 3.443484587894515 absolute error = 2.97539770599542e-14 relative error = 8.640659280007764e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.931 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.7 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = 3.452185204543922 y[1] (numeric) = 3.452185204543953 absolute error = 3.153033389935445e-14 relative error = 9.13344216233034e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.942 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.74 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = 3.46089424681839 y[1] (numeric) = 3.460894246818421 absolute error = 3.108624468950438e-14 relative error = 8.982142322921903e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.953 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.77 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = 3.469611711433409 y[1] (numeric) = 3.469611711433441 absolute error = 3.241851231905457e-14 relative error = 9.343556286781565e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.965 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.81 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = 3.478337595115838 y[1] (numeric) = 3.478337595115866 absolute error = 2.842170943040401e-14 relative error = 8.171061219104436e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.976 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.85 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = 3.4870718946038 y[1] (numeric) = 3.48707189460383 absolute error = 3.019806626980426e-14 relative error = 8.660006785789358e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.987 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.89 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = 3.495814606646671 y[1] (numeric) = 3.495814606646702 absolute error = 3.064215547965432e-14 relative error = 8.765383444932606e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 6.998 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.93 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = 3.504565728005007 y[1] (numeric) = 3.504565728005039 absolute error = 3.241851231905457e-14 relative error = 9.250365048085141e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.009 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 46.96 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = 3.513325255450514 y[1] (numeric) = 3.513325255450544 absolute error = 3.019806626980426e-14 relative error = 8.595294791723448e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.021 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = 3.522093185765982 y[1] (numeric) = 3.522093185766014 absolute error = 3.286260152890463e-14 relative error = 9.330417963304881e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.032 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.04 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = 3.53086951574527 y[1] (numeric) = 3.530869515745299 absolute error = 2.97539770599542e-14 relative error = 8.426812978296636e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.043 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.08 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = 3.539654242193225 y[1] (numeric) = 3.539654242193255 absolute error = 3.064215547965432e-14 relative error = 8.656821650655903e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.054 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.11 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = 3.548447361925666 y[1] (numeric) = 3.548447361925699 absolute error = 3.241851231905457e-14 relative error = 9.135971035360586e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.066 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.15 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = 3.55724887176933 y[1] (numeric) = 3.557248871769363 absolute error = 3.33066907387547e-14 relative error = 9.363047663906736e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.077 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.19 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = 3.566058768561821 y[1] (numeric) = 3.566058768561854 absolute error = 3.33066907387547e-14 relative error = 9.339916389596453e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.088 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.23 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = 3.574877049151571 y[1] (numeric) = 3.574877049151604 absolute error = 3.33066907387547e-14 relative error = 9.316877274607084e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.27 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = 3.583703710397799 y[1] (numeric) = 3.58370371039783 absolute error = 3.108624468950438e-14 relative error = 8.674334487895972e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.11 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.3 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = 3.592538749170455 y[1] (numeric) = 3.592538749170487 absolute error = 3.241851231905457e-14 relative error = 9.023844858052056e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.122 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.34 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = 3.601382162350196 y[1] (numeric) = 3.601382162350229 absolute error = 3.286260152890463e-14 relative error = 9.12499702821294e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.38 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = 3.610233946828326 y[1] (numeric) = 3.610233946828361 absolute error = 3.552713678800501e-14 relative error = 9.84067440261494e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.144 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.42 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = 3.619094099506765 y[1] (numeric) = 3.619094099506798 absolute error = 3.33066907387547e-14 relative error = 9.203046348889895e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.155 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.45 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = 3.627962617297991 y[1] (numeric) = 3.627962617298023 absolute error = 3.241851231905457e-14 relative error = 8.935734939628184e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.166 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.49 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = 3.636839497125009 y[1] (numeric) = 3.636839497125044 absolute error = 3.508304757815495e-14 relative error = 9.646575716604696e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.178 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.53 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = 3.645724735921316 y[1] (numeric) = 3.645724735921349 absolute error = 3.241851231905457e-14 relative error = 8.892199676962732e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.189 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.57 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = 3.654618330630834 y[1] (numeric) = 3.654618330630867 absolute error = 3.286260152890463e-14 relative error = 8.992074836781143e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.2 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.6 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = 3.663520278207894 y[1] (numeric) = 3.663520278207927 absolute error = 3.33066907387547e-14 relative error = 9.091444351182226e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.211 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.64 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = 3.672430575617177 y[1] (numeric) = 3.672430575617214 absolute error = 3.641531520770513e-14 relative error = 9.915862113087132e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.222 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.68 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = 3.681349219833696 y[1] (numeric) = 3.681349219833726 absolute error = 3.019806626980426e-14 relative error = 8.202988759422408e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.234 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.72 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = 3.690276207842702 y[1] (numeric) = 3.690276207842738 absolute error = 3.552713678800501e-14 relative error = 9.627229721315037e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.245 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.75 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = 3.699211536639723 y[1] (numeric) = 3.699211536639755 absolute error = 3.241851231905457e-14 relative error = 8.763627599545926e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.256 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.79 Order of pole (six term test) = -2.483 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = 3.708155203230439 y[1] (numeric) = 3.708155203230479 absolute error = 3.996802888650564e-14 relative error = 1.077841317205025e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.267 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.83 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = 3.717107204630727 y[1] (numeric) = 3.717107204630759 absolute error = 3.286260152890463e-14 relative error = 8.840907652048563e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.279 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.86 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = 3.726067537866525 y[1] (numeric) = 3.72606753786656 absolute error = 3.508304757815495e-14 relative error = 9.415569423157271e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.29 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.9 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = 3.735036199973879 y[1] (numeric) = 3.735036199973914 absolute error = 3.552713678800501e-14 relative error = 9.511858757420737e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.301 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.94 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = 3.744013187998852 y[1] (numeric) = 3.744013187998889 absolute error = 3.730349362740526e-14 relative error = 9.963504868780579e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.312 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 47.98 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = 3.752998498997503 y[1] (numeric) = 3.752998498997543 absolute error = 3.952393967665557e-14 relative error = 1.053129642530184e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.323 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.01 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = 3.761992130035849 y[1] (numeric) = 3.761992130035886 absolute error = 3.68594044175552e-14 relative error = 9.797841979324914e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.05 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = 3.770994078189811 y[1] (numeric) = 3.770994078189844 absolute error = 3.286260152890463e-14 relative error = 8.714572562967178e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.346 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.09 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = 3.780004340545181 y[1] (numeric) = 3.780004340545217 absolute error = 3.597122599785507e-14 relative error = 9.516186426565593e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.357 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.12 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = 3.7890229141976 y[1] (numeric) = 3.789022914197638 absolute error = 3.819167204710538e-14 relative error = 1.007955689684532e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.368 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.16 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = 3.798049796252502 y[1] (numeric) = 3.798049796252541 absolute error = 3.952393967665557e-14 relative error = 1.040637742971497e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.379 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.2 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = 3.807084983825079 y[1] (numeric) = 3.807084983825118 absolute error = 3.907985046680551e-14 relative error = 1.026503233650985e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.391 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.23 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = 3.816128474040239 y[1] (numeric) = 3.81612847404028 absolute error = 4.04121180963557e-14 relative error = 1.058982116856519e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.402 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.27 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = 3.825180264032583 y[1] (numeric) = 3.825180264032622 absolute error = 3.952393967665557e-14 relative error = 1.033256917282864e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.413 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.31 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = 3.834240350946351 y[1] (numeric) = 3.834240350946386 absolute error = 3.552713678800501e-14 relative error = 9.265756326213707e-13 % Correct digits = 15 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 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.35 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = 3.84330873193538 y[1] (numeric) = 3.843308731935419 absolute error = 3.863576125695545e-14 relative error = 1.005273423285451e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.435 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.38 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = 3.852385404163103 y[1] (numeric) = 3.852385404163139 absolute error = 3.597122599785507e-14 relative error = 9.337390272266776e-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 Radius of convergence (six term test) for eq 1 = 48.42 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = 3.861470364802462 y[1] (numeric) = 3.861470364802499 absolute error = 3.730349362740526e-14 relative error = 9.660437632107418e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.458 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.46 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = 3.870563611035907 y[1] (numeric) = 3.870563611035946 absolute error = 3.907985046680551e-14 relative error = 1.009668213574361e-12 % Correct digits = 14 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 Radius of convergence (six term test) for eq 1 = 48.49 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = 3.879665140055348 y[1] (numeric) = 3.879665140055388 absolute error = 3.996802888650564e-14 relative error = 1.030192747148674e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.48 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.53 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = 3.888774949062116 y[1] (numeric) = 3.888774949062155 absolute error = 3.907985046680551e-14 relative error = 1.004939884120337e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.492 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.57 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = 3.897893035266927 y[1] (numeric) = 3.897893035266966 absolute error = 3.863576125695545e-14 relative error = 9.911960360992738e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.503 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.6 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = 3.907019395889849 y[1] (numeric) = 3.907019395889887 absolute error = 3.819167204710538e-14 relative error = 9.775142679681267e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.514 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.64 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = 3.916154028160262 y[1] (numeric) = 3.916154028160302 absolute error = 3.996802888650564e-14 relative error = 1.020593893884248e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.525 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.68 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = 3.92529692931683 y[1] (numeric) = 3.925296929316873 absolute error = 4.307665335545607e-14 relative error = 1.097411332980439e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.536 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.71 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = 3.934448096607464 y[1] (numeric) = 3.934448096607504 absolute error = 4.04121180963557e-14 relative error = 1.027135626244546e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.548 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.75 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = 3.943607527289263 y[1] (numeric) = 3.94360752728931 absolute error = 4.707345624410664e-14 relative error = 1.1936648339969e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.559 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.79 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = 3.952775218628534 y[1] (numeric) = 3.952775218628574 absolute error = 4.04121180963557e-14 relative error = 1.022373291198107e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.57 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.82 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = 3.961951167900681 y[1] (numeric) = 3.961951167900722 absolute error = 4.085620730620576e-14 relative error = 1.031214307667861e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.581 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.86 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = 3.971135372390236 y[1] (numeric) = 3.97113537239028 absolute error = 4.440892098500626e-14 relative error = 1.118292800939607e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.592 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.89 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = 3.980327829390804 y[1] (numeric) = 3.980327829390844 absolute error = 3.996802888650564e-14 relative error = 1.004139121189493e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.604 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.93 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = 3.989528536204996 y[1] (numeric) = 3.989528536205041 absolute error = 4.485301019485632e-14 relative error = 1.124268438934951e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.615 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 48.97 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = 3.998737490144458 y[1] (numeric) = 3.998737490144501 absolute error = 4.307665335545607e-14 relative error = 1.07725634557471e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.626 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = 4.007954688529779 y[1] (numeric) = 4.007954688529818 absolute error = 3.907985046680551e-14 relative error = 9.750571926036671e-13 % Correct digits = 15 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.04 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = 4.017180128690477 y[1] (numeric) = 4.017180128690518 absolute error = 4.085620730620576e-14 relative error = 1.017036976121957e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.648 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.08 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = 4.02641380796498 y[1] (numeric) = 4.026413807965024 absolute error = 4.440892098500626e-14 relative error = 1.102939814510802e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.66 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.11 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = 4.035655723700581 y[1] (numeric) = 4.035655723700626 absolute error = 4.529709940470639e-14 relative error = 1.122422290352613e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.671 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.15 Order of pole (six term test) = -2.482 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = 4.044905873253395 y[1] (numeric) = 4.044905873253441 absolute error = 4.618527782440651e-14 relative error = 1.141813413503707e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.682 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.19 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = 4.054164253988343 y[1] (numeric) = 4.054164253988388 absolute error = 4.440892098500626e-14 relative error = 1.095390275352518e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.693 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.22 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = 4.0634308632791 y[1] (numeric) = 4.063430863279147 absolute error = 4.707345624410664e-14 relative error = 1.158465784898808e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.704 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.26 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = 4.072705698508088 y[1] (numeric) = 4.072705698508133 absolute error = 4.529709940470639e-14 relative error = 1.112211457393045e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.716 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.29 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = 4.081988757066412 y[1] (numeric) = 4.081988757066458 absolute error = 4.618527782440651e-14 relative error = 1.13144059361884e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.727 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.33 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = 4.091280036353858 y[1] (numeric) = 4.091280036353902 absolute error = 4.440892098500626e-14 relative error = 1.085452977806511e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.738 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.37 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = 4.100579533778832 y[1] (numeric) = 4.100579533778879 absolute error = 4.618527782440651e-14 relative error = 1.126310987116621e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.749 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.4 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = 4.109887246758358 y[1] (numeric) = 4.109887246758404 absolute error = 4.529709940470639e-14 relative error = 1.102149443161345e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.761 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.44 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = 4.119203172718017 y[1] (numeric) = 4.119203172718063 absolute error = 4.618527782440651e-14 relative error = 1.121218737893222e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.772 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.47 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = 4.128527309091938 y[1] (numeric) = 4.128527309091981 absolute error = 4.263256414560601e-14 relative error = 1.032633696081399e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.783 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.51 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = 4.137859653322744 y[1] (numeric) = 4.137859653322788 absolute error = 4.352074256530614e-14 relative error = 1.051769422154242e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.794 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.55 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = 4.147200202861546 y[1] (numeric) = 4.14720020286159 absolute error = 4.440892098500626e-14 relative error = 1.070816908100177e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.805 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.58 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = 4.15654895516789 y[1] (numeric) = 4.156548955167938 absolute error = 4.884981308350689e-14 relative error = 1.175249314043837e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.817 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.62 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = 4.165905907709746 y[1] (numeric) = 4.165905907709793 absolute error = 4.707345624410664e-14 relative error = 1.12996926207548e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.828 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.65 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = 4.175271057963451 y[1] (numeric) = 4.175271057963498 absolute error = 4.707345624410664e-14 relative error = 1.127434736346612e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.839 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.69 Order of pole (six term test) = -2.481 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = 4.184644403413698 y[1] (numeric) = 4.184644403413747 absolute error = 4.973799150320701e-14 relative error = 1.188583466318724e-12 % Correct digits = 14 h = 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 7.85 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 49.73 Order of pole (six term test) = -2.481 Finished! diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); Iterations = 491 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.4 %