##############ECHO OF PROBLEM################# ##############temp/tan_sqrt_linpostode.ode################# diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* 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_min_h=0.001; glob_type_given_pole=1; array_given_rad_poles[1][1]=-1.5; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=0.5; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(0.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.001 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900 step_error = 3.571428571428572e-14 est_needed_step_err = 3.571428571428572e-14 opt_iter = 1 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.001 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900 step_error = 3.571428571428572e-14 est_needed_step_err = 3.571428571428572e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.725554091601842e-113 estimated_step_error = 9.725554091601842e-113 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.002 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 2450 step_error = 5.050762722761053e-14 est_needed_step_err = 5.050762722761053e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.680619765119502e-102 estimated_step_error = 6.680619765119502e-102 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.004 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 1225 step_error = 7.142857142857143e-14 est_needed_step_err = 7.142857142857143e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.587139299919488e-91 estimated_step_error = 4.587139299919488e-91 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.008 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 612.5 step_error = 1.010152544552211e-13 est_needed_step_err = 1.010152544552211e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.14712000169966e-80 estimated_step_error = 3.14712000169966e-80 Double H and LOOP opt_iter = 5 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Desired digits = 10 Estimated correct digits = -16 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0 y[1] (numeric) = -0.04513079280832218 absolute error = 0.04513079280832218 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.61 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0 y[1] (numeric) = -0.08909823184439142 absolute error = 0.08909823184439142 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.62 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0 y[1] (numeric) = -0.1319614009386178 absolute error = 0.1319614009386178 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.63 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0 y[1] (numeric) = -0.1737749162061891 absolute error = 0.1737749162061891 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.64 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0 y[1] (numeric) = -0.2145893658114285 absolute error = 0.2145893658114285 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.65 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0 y[1] (numeric) = -0.2544516969147004 absolute error = 0.2544516969147004 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.66 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0 y[1] (numeric) = -0.2934055572357878 absolute error = 0.2934055572357878 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.67 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0 y[1] (numeric) = -0.3314915974749494 absolute error = 0.3314915974749494 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.68 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.368747739853947 absolute error = 0.368747739853947 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.69 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.405209417232043 absolute error = 0.405209417232043 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.7 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.440909786583186 absolute error = 0.440909786583186 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.71 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.4758799200641468 absolute error = 0.4758799200641468 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.72 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.5101489764384568 absolute error = 0.5101489764384568 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.73 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.5437443552310324 absolute error = 0.5437443552310324 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.74 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.406 Order of pole (three term test) = 0.000425 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.5766918356600156 absolute error = 0.5766918356600156 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.75 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.421 Order of pole (three term test) = 0.0005146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.6090157021148923 absolute error = 0.6090157021148923 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.76 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.435 Order of pole (three term test) = 0.0006116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.6407388577146539 absolute error = 0.6407388577146539 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.77 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.45 Order of pole (three term test) = 0.000717 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.6718829272795712 absolute error = 0.6718829272795712 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.78 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.464 Order of pole (three term test) = 0.0008316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (analytic) = 0 y[1] (numeric) = -0.7024683508792756 absolute error = 0.7024683508792756 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.79 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.478 Order of pole (three term test) = 0.0009564 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.7325144689735322 absolute error = 0.7325144689735322 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.8 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.493 Order of pole (three term test) = 0.001092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.7620396000364597 absolute error = 0.7620396000364597 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.81 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.507 Order of pole (three term test) = 0.00124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.7910611114467512 absolute error = 0.7910611114467512 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.82 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.521 Order of pole (three term test) = 0.0014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.8195954843330218 absolute error = 0.8195954843330218 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.83 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.535 Order of pole (three term test) = 0.001574 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.8476583729825083 absolute error = 0.8476583729825083 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.84 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.548 Order of pole (three term test) = 0.001762 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.8752646593511276 absolute error = 0.8752646593511276 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.85 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.562 Order of pole (three term test) = 0.001965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.902428503151788 absolute error = 0.902428503151788 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.86 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.576 Order of pole (three term test) = 0.002184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.9291633879445514 absolute error = 0.9291633879445514 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.87 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.59 Order of pole (three term test) = 0.002419 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.9554821636056399 absolute error = 0.9554821636056399 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.88 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.603 Order of pole (three term test) = 0.002672 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (analytic) = 0 y[1] (numeric) = -0.9813970855114494 absolute error = 0.9813970855114494 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.89 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.617 Order of pole (three term test) = 0.002943 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (analytic) = 0 y[1] (numeric) = -1.006919850737881 absolute error = 1.006919850737881 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.9 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.63 Order of pole (three term test) = 0.003232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.032061631543747 absolute error = 1.032061631543747 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.91 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.644 Order of pole (three term test) = 0.003542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.05683310637919 absolute error = 1.05683310637919 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.92 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.657 Order of pole (three term test) = 0.003871 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.081244488635491 absolute error = 1.081244488635491 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.93 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.67 Order of pole (three term test) = 0.004221 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.105305553330871 absolute error = 1.105305553330871 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.94 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.683 Order of pole (three term test) = 0.004593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.129025661907611 absolute error = 1.129025661907611 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.95 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.697 Order of pole (three term test) = 0.004987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.152413785298702 absolute error = 1.152413785298702 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.96 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.71 Order of pole (three term test) = 0.005403 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.175478525406949 absolute error = 1.175478525406949 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.97 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.723 Order of pole (three term test) = 0.005843 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.198228135125899 absolute error = 1.198228135125899 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.98 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.736 Order of pole (three term test) = 0.006306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.220670537019819 absolute error = 1.220670537019819 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 1.99 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.749 Order of pole (three term test) = 0.006794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.242813340769086 absolute error = 1.242813340769086 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.762 Order of pole (three term test) = 0.007307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (analytic) = 0 y[1] (numeric) = -1.264663859477666 absolute error = 1.264663859477666 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.01 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.775 Order of pole (three term test) = 0.007845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.286229124930602 absolute error = 1.286229124930602 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.02 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.788 Order of pole (three term test) = 0.00841 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.30751590188164 absolute error = 1.30751590188164 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.03 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.8 Order of pole (three term test) = 0.009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.328530701444061 absolute error = 1.328530701444061 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.04 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.813 Order of pole (three term test) = 0.009617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.349279793651436 absolute error = 1.349279793651436 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.05 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.826 Order of pole (three term test) = 0.01026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.369769219249329 absolute error = 1.369769219249329 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.06 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.839 Order of pole (three term test) = 0.01093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.390004800773759 absolute error = 1.390004800773759 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.07 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.851 Order of pole (three term test) = 0.01163 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.409992152967615 absolute error = 1.409992152967615 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.08 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.864 Order of pole (three term test) = 0.01236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.429736692581929 absolute error = 1.429736692581929 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.09 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.876 Order of pole (three term test) = 0.01311 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.449243647605116 absolute error = 1.449243647605116 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.1 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.889 Order of pole (three term test) = 0.0139 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.4685180659598 absolute error = 1.4685180659598 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.11 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.901 Order of pole (three term test) = 0.01471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.487564823703658 absolute error = 1.487564823703658 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.914 Order of pole (three term test) = 0.01555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (analytic) = 0 y[1] (numeric) = -1.506388632767871 absolute error = 1.506388632767871 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.926 Order of pole (three term test) = 0.01642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.524994048264115 absolute error = 1.524994048264115 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.14 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.939 Order of pole (three term test) = 0.01732 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.54338547538866 absolute error = 1.54338547538866 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.15 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.561567175949959 absolute error = 1.561567175949959 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.16 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.579543274544093 absolute error = 1.579543274544093 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.17 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.597317764400648 absolute error = 1.597317764400648 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.18 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.614894512919917 absolute error = 1.614894512919917 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.19 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.632277266920774 absolute error = 1.632277266920774 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.649469657617203 absolute error = 1.649469657617203 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.21 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.666475205340132 absolute error = 1.666475205340132 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.22 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.683297324020078 absolute error = 1.683297324020078 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.23 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (analytic) = 0 y[1] (numeric) = -1.699939325445002 absolute error = 1.699939325445002 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.24 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.716404423306761 absolute error = 1.716404423306761 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.25 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.732695737048647 absolute error = 1.732695737048647 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.26 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.748816295525643 absolute error = 1.748816295525643 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.27 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.764769040488211 absolute error = 1.764769040488211 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.28 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.780556829899765 absolute error = 1.780556829899765 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.29 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.796182441097235 absolute error = 1.796182441097235 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.811648573803579 absolute error = 1.811648573803579 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.31 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.826957853000475 absolute error = 1.826957853000475 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.32 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.842112831668925 absolute error = 1.842112831668925 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.33 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.857115993404983 absolute error = 1.857115993404983 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.34 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (analytic) = 0 y[1] (numeric) = -1.871969754917391 absolute error = 1.871969754917391 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.35 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.886676468413464 absolute error = 1.886676468413464 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.36 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.901238423879167 absolute error = 1.901238423879167 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.37 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.91565785125898 absolute error = 1.91565785125898 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.38 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.929936922540786 absolute error = 1.929936922540786 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.39 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.944077753750711 absolute error = 1.944077753750711 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.958082406862546 absolute error = 1.958082406862546 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.41 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.971952891626111 absolute error = 1.971952891626111 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.42 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.98569116731864 absolute error = 1.98569116731864 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.43 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (analytic) = 0 y[1] (numeric) = -1.999299144423079 absolute error = 1.999299144423079 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.44 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (analytic) = 0 y[1] (numeric) = -2.012778686236891 absolute error = 2.012778686236891 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.45 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (analytic) = 0 y[1] (numeric) = -2.026131610414829 absolute error = 2.026131610414829 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.46 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (analytic) = 0 y[1] (numeric) = -2.039359690448884 absolute error = 2.039359690448884 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.47 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (analytic) = 0 y[1] (numeric) = -2.052464657088461 absolute error = 2.052464657088461 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.48 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (analytic) = 0 y[1] (numeric) = -2.065448199703667 absolute error = 2.065448199703667 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.49 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.078311967594411 absolute error = 2.078311967594411 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.091057571247895 absolute error = 2.091057571247895 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.51 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.103686583546917 absolute error = 2.103686583546917 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.52 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.116200540931275 absolute error = 2.116200540931275 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.53 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.128600944514441 absolute error = 2.128600944514441 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.54 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.140889261157573 absolute error = 2.140889261157573 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.55 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.153066924502779 absolute error = 2.153066924502779 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.56 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.165135335967508 absolute error = 2.165135335967508 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.57 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.177095865701786 absolute error = 2.177095865701786 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.58 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.188949853509968 absolute error = 2.188949853509968 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.59 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.200698609738564 absolute error = 2.200698609738564 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.212343416131635 absolute error = 2.212343416131635 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.61 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.223885526655169 absolute error = 2.223885526655169 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.62 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.235326168291773 absolute error = 2.235326168291773 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.63 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.246666541806967 absolute error = 2.246666541806967 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.64 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.257907822488278 absolute error = 2.257907822488278 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.65 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.269051160858297 absolute error = 2.269051160858297 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.66 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.280097683362782 absolute error = 2.280097683362782 relative error = -1 % Desired digits = 10 Estimated correct digits = 12 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.67 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.291048493034854 absolute error = 2.291048493034854 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.68 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.301904670136284 absolute error = 2.301904670136284 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.69 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.312667272776794 absolute error = 2.312667272776794 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.7 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.323337337512294 absolute error = 2.323337337512294 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.71 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.333915879922891 absolute error = 2.333915879922891 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.72 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.344403895171503 absolute error = 2.344403895171503 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.73 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.354802358543836 absolute error = 2.354802358543836 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.74 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.365112225970481 absolute error = 2.365112225970481 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.75 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.37533443453183 absolute error = 2.37533443453183 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.76 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.385469902946488 absolute error = 2.385469902946488 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.77 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.395519532043827 absolute error = 2.395519532043827 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.78 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.405484205221283 absolute error = 2.405484205221283 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.79 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.415364788887012 absolute error = 2.415364788887012 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.8 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.425162132888428 absolute error = 2.425162132888428 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.81 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.434877070927194 absolute error = 2.434877070927194 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.82 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.444510420961153 absolute error = 2.444510420961153 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.83 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.454062985593705 absolute error = 2.454062985593705 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.84 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.463535552451087 absolute error = 2.463535552451087 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.85 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.472928894548013 absolute error = 2.472928894548013 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.86 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.482243770642099 absolute error = 2.482243770642099 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.87 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.491480925577477 absolute error = 2.491480925577477 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.88 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.50064109061801 absolute error = 2.50064109061801 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.89 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.509724983770465 absolute error = 2.509724983770465 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.9 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.518733310098009 absolute error = 2.518733310098009 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.91 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.527666762024384 absolute error = 2.527666762024384 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.92 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.536526019629083 absolute error = 2.536526019629083 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.93 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.545311750933841 absolute error = 2.545311750933841 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.94 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.554024612180764 absolute error = 2.554024612180764 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.95 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.562665248102362 absolute error = 2.562665248102362 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.96 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.571234292183787 absolute error = 2.571234292183787 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.97 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.579732366917538 absolute error = 2.579732366917538 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.98 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.588160084050893 absolute error = 2.588160084050893 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 2.99 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.596518044826308 absolute error = 2.596518044826308 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.604806840215032 absolute error = 2.604806840215032 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.613027051144167 absolute error = 2.613027051144167 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.621179248717377 absolute error = 2.621179248717377 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.62926399442948 absolute error = 2.62926399442948 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.637281840375106 absolute error = 2.637281840375106 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.645233329451632 absolute error = 2.645233329451632 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.653118995556571 absolute error = 2.653118995556571 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.660939363779597 absolute error = 2.660939363779597 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.668694950589388 absolute error = 2.668694950589388 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.676386264015447 absolute error = 2.676386264015447 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.68401380382506 absolute error = 2.68401380382506 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.69157806169555 absolute error = 2.69157806169555 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.699079521381985 absolute error = 2.699079521381985 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.706518658880459 absolute error = 2.706518658880459 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.713895942587111 absolute error = 2.713895942587111 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.721211833453006 absolute error = 2.721211833453006 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.728466785134991 absolute error = 2.728466785134991 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.735661244142683 absolute error = 2.735661244142683 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.742795649981675 absolute error = 2.742795649981675 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.749870435293092 absolute error = 2.749870435293092 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.756886025989613 absolute error = 2.756886025989613 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.763842841388052 absolute error = 2.763842841388052 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.770741294338606 absolute error = 2.770741294338606 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.777581791350883 absolute error = 2.777581791350883 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.784364732716782 absolute error = 2.784364732716782 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.791090512630342 absolute error = 2.791090512630342 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.79775951930463 absolute error = 2.79775951930463 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.804372135085772 absolute error = 2.804372135085772 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.810928736564198 absolute error = 2.810928736564198 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.817429694683186 absolute error = 2.817429694683186 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.823875374844784 absolute error = 2.823875374844784 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.830266137013184 absolute error = 2.830266137013184 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.836602335815628 absolute error = 2.836602335815628 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.842884320640897 absolute error = 2.842884320640897 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.849112435735481 absolute error = 2.849112435735481 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.855287020297466 absolute error = 2.855287020297466 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.861408408568221 absolute error = 2.861408408568221 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.867476929921944 absolute error = 2.867476929921944 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.873492908953114 absolute error = 2.873492908953114 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.879456665561927 absolute error = 2.879456665561927 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.885368515037756 absolute error = 2.885368515037756 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.891228768140692 absolute error = 2.891228768140692 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.897037731181226 absolute error = 2.897037731181226 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940000000000002 y[1] (analytic) = 0 y[1] (numeric) = -2.902795706098111 absolute error = 2.902795706098111 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000000000002 y[1] (analytic) = 0 y[1] (numeric) = -2.908502990534469 absolute error = 2.908502990534469 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960000000000002 y[1] (analytic) = 0 y[1] (numeric) = -2.914159877912168 absolute error = 2.914159877912168 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970000000000002 y[1] (analytic) = 0 y[1] (numeric) = -2.919766657504539 absolute error = 2.919766657504539 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980000000000002 y[1] (analytic) = 0 y[1] (numeric) = -2.92532361450746 absolute error = 2.92532361450746 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990000000000002 y[1] (analytic) = 0 y[1] (numeric) = -2.93083103010886 absolute error = 2.93083103010886 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.93628918155668 absolute error = 2.93628918155668 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.941698342225333 absolute error = 2.941698342225333 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.947058781680705 absolute error = 2.947058781680705 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030000000000001 y[1] (analytic) = 0 y[1] (numeric) = -2.952370765743726 absolute error = 2.952370765743726 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 0 y[1] (numeric) = -2.957634556552565 absolute error = 2.957634556552565 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 0 y[1] (numeric) = -2.962850412623464 absolute error = 2.962850412623464 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 0 y[1] (numeric) = -2.968018588910261 absolute error = 2.968018588910261 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 0 y[1] (numeric) = -2.973139336862634 absolute error = 2.973139336862634 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 0 y[1] (numeric) = -2.978212904483087 absolute error = 2.978212904483087 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999999 y[1] (analytic) = 0 y[1] (numeric) = -2.983239536382728 absolute error = 2.983239536382728 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999999 y[1] (analytic) = 0 y[1] (numeric) = -2.988219473835851 absolute error = 2.988219473835851 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999999 y[1] (analytic) = 0 y[1] (numeric) = -2.993152954833369 absolute error = 2.993152954833369 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999999 y[1] (analytic) = 0 y[1] (numeric) = -2.998040214135112 absolute error = 2.998040214135112 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999999 y[1] (analytic) = 0 y[1] (numeric) = -3.002881483321032 absolute error = 3.002881483321032 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.007676990841328 absolute error = 3.007676990841328 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.012426962065531 absolute error = 3.012426962065531 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.017131619330568 absolute error = 3.017131619330568 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.021791181987823 absolute error = 3.021791181987823 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.026405866449242 absolute error = 3.026405866449242 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.68 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.030975886232475 absolute error = 3.030975886232475 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.035501452005102 absolute error = 3.035501452005102 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.039982771627959 absolute error = 3.039982771627959 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.044420050197576 absolute error = 3.044420050197576 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.72 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.048813490087759 absolute error = 3.048813490087759 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.73 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.053163290990339 absolute error = 3.053163290990339 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.74 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.057469649955091 absolute error = 3.057469649955091 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.75 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.061732761428859 absolute error = 3.061732761428859 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.76 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.065952817293904 absolute error = 3.065952817293904 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.77 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.070130006905482 absolute error = 3.070130006905482 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.07426451712868 absolute error = 3.07426451712868 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.078356532374526 absolute error = 3.078356532374526 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.082406234635386 absolute error = 3.082406234635386 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.086413803519668 absolute error = 3.086413803519668 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999994 y[1] (analytic) = 0 y[1] (numeric) = -3.090379416285847 absolute error = 3.090379416285847 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999994 y[1] (analytic) = 0 y[1] (numeric) = -3.094303247875826 absolute error = 3.094303247875826 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999994 y[1] (analytic) = 0 y[1] (numeric) = -3.098185470947652 absolute error = 3.098185470947652 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999994 y[1] (analytic) = 0 y[1] (numeric) = -3.102026255907595 absolute error = 3.102026255907595 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999993 y[1] (analytic) = 0 y[1] (numeric) = -3.105825770941608 absolute error = 3.105825770941608 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999993 y[1] (analytic) = 0 y[1] (numeric) = -3.109584182046189 absolute error = 3.109584182046189 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999993 y[1] (analytic) = 0 y[1] (numeric) = -3.113301653058641 absolute error = 3.113301653058641 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999993 y[1] (analytic) = 0 y[1] (numeric) = -3.11697834568676 absolute error = 3.11697834568676 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999993 y[1] (analytic) = 0 y[1] (numeric) = -3.120614419537958 absolute error = 3.120614419537958 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999992 y[1] (analytic) = 0 y[1] (numeric) = -3.12421003214783 absolute error = 3.12421003214783 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999992 y[1] (analytic) = 0 y[1] (numeric) = -3.127765339008179 absolute error = 3.127765339008179 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999992 y[1] (analytic) = 0 y[1] (numeric) = -3.131280493594516 absolute error = 3.131280493594516 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999992 y[1] (analytic) = 0 y[1] (numeric) = -3.134755647393043 absolute error = 3.134755647393043 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999992 y[1] (analytic) = 0 y[1] (numeric) = -3.138190949927123 absolute error = 3.138190949927123 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999991 y[1] (analytic) = 0 y[1] (numeric) = -3.141586548783262 absolute error = 3.141586548783262 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999991 y[1] (analytic) = 0 y[1] (numeric) = -3.144942589636599 absolute error = 3.144942589636599 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999991 y[1] (analytic) = 0 y[1] (numeric) = -3.148259216275935 absolute error = 3.148259216275935 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999991 y[1] (analytic) = 0 y[1] (numeric) = -3.151536570628278 absolute error = 3.151536570628278 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999999999999 y[1] (analytic) = 0 y[1] (numeric) = -3.154774792782954 absolute error = 3.154774792782954 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.01 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51999999999999 y[1] (analytic) = 0 y[1] (numeric) = -3.15797402101526 absolute error = 3.15797402101526 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.02 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52999999999999 y[1] (analytic) = 0 y[1] (numeric) = -3.161134391809686 absolute error = 3.161134391809686 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.03 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53999999999999 y[1] (analytic) = 0 y[1] (numeric) = -3.164256039882712 absolute error = 3.164256039882712 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.04 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999999 y[1] (analytic) = 0 y[1] (numeric) = -3.167339098205187 absolute error = 3.167339098205187 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.05 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999989 y[1] (analytic) = 0 y[1] (numeric) = -3.170383698024301 absolute error = 3.170383698024301 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.06 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999989 y[1] (analytic) = 0 y[1] (numeric) = -3.173389968885151 absolute error = 3.173389968885151 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.07 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999989 y[1] (analytic) = 0 y[1] (numeric) = -3.176358038651927 absolute error = 3.176358038651927 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.08 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999989 y[1] (analytic) = 0 y[1] (numeric) = -3.1792880335287 absolute error = 3.1792880335287 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.09 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999989 y[1] (analytic) = 0 y[1] (numeric) = -3.182180078079847 absolute error = 3.182180078079847 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.1 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999988 y[1] (analytic) = 0 y[1] (numeric) = -3.185034295250102 absolute error = 3.185034295250102 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.11 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999988 y[1] (analytic) = 0 y[1] (numeric) = -3.187850806384245 absolute error = 3.187850806384245 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999988 y[1] (analytic) = 0 y[1] (numeric) = -3.19062973124644 absolute error = 3.19062973124644 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639999999999988 y[1] (analytic) = 0 y[1] (numeric) = -3.193371188039232 absolute error = 3.193371188039232 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.14 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999987 y[1] (analytic) = 0 y[1] (numeric) = -3.196075293422192 absolute error = 3.196075293422192 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.15 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999987 y[1] (analytic) = 0 y[1] (numeric) = -3.198742162530244 absolute error = 3.198742162530244 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.16 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999987 y[1] (analytic) = 0 y[1] (numeric) = -3.201371908991655 absolute error = 3.201371908991655 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.17 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999987 y[1] (analytic) = 0 y[1] (numeric) = -3.203964644945716 absolute error = 3.203964644945716 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.18 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999987 y[1] (analytic) = 0 y[1] (numeric) = -3.206520481060098 absolute error = 3.206520481060098 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.19 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999986 y[1] (analytic) = 0 y[1] (numeric) = -3.209039526547913 absolute error = 3.209039526547913 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999986 y[1] (analytic) = 0 y[1] (numeric) = -3.211521889184468 absolute error = 3.211521889184468 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.21 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999986 y[1] (analytic) = 0 y[1] (numeric) = -3.213967675323723 absolute error = 3.213967675323723 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.22 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729999999999986 y[1] (analytic) = 0 y[1] (numeric) = -3.216376989914463 absolute error = 3.216376989914463 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.23 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999986 y[1] (analytic) = 0 y[1] (numeric) = -3.21874993651619 absolute error = 3.21874993651619 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.24 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999985 y[1] (analytic) = 0 y[1] (numeric) = -3.221086617314727 absolute error = 3.221086617314727 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.25 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999985 y[1] (analytic) = 0 y[1] (numeric) = -3.223387133137556 absolute error = 3.223387133137556 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.26 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999985 y[1] (analytic) = 0 y[1] (numeric) = -3.22565158346889 absolute error = 3.22565158346889 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.27 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999985 y[1] (analytic) = 0 y[1] (numeric) = -3.227880066464478 absolute error = 3.227880066464478 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.28 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999984 y[1] (analytic) = 0 y[1] (numeric) = -3.230072678966153 absolute error = 3.230072678966153 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.29 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999984 y[1] (analytic) = 0 y[1] (numeric) = -3.232229516516135 absolute error = 3.232229516516135 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999984 y[1] (analytic) = 0 y[1] (numeric) = -3.234350673371073 absolute error = 3.234350673371073 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.31 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.819999999999984 y[1] (analytic) = 0 y[1] (numeric) = -3.236436242515855 absolute error = 3.236436242515855 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.32 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999984 y[1] (analytic) = 0 y[1] (numeric) = -3.238486315677177 absolute error = 3.238486315677177 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.33 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999983 y[1] (analytic) = 0 y[1] (numeric) = -3.240500983336871 absolute error = 3.240500983336871 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.34 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999983 y[1] (analytic) = 0 y[1] (numeric) = -3.242480334745014 absolute error = 3.242480334745014 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.35 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999983 y[1] (analytic) = 0 y[1] (numeric) = -3.244424457932801 absolute error = 3.244424457932801 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.36 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999983 y[1] (analytic) = 0 y[1] (numeric) = -3.246333439725208 absolute error = 3.246333439725208 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.37 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999983 y[1] (analytic) = 0 y[1] (numeric) = -3.248207365753423 absolute error = 3.248207365753423 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.38 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999982 y[1] (analytic) = 0 y[1] (numeric) = -3.250046320467075 absolute error = 3.250046320467075 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.39 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999982 y[1] (analytic) = 0 y[1] (numeric) = -3.251850387146252 absolute error = 3.251850387146252 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999982 y[1] (analytic) = 0 y[1] (numeric) = -3.253619647913306 absolute error = 3.253619647913306 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.41 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999982 y[1] (analytic) = 0 y[1] (numeric) = -3.255354183744466 absolute error = 3.255354183744466 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.42 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999982 y[1] (analytic) = 0 y[1] (numeric) = -3.257054074481241 absolute error = 3.257054074481241 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.43 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999981 y[1] (analytic) = 0 y[1] (numeric) = -3.25871939884164 absolute error = 3.25871939884164 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.44 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999981 y[1] (analytic) = 0 y[1] (numeric) = -3.260350234431193 absolute error = 3.260350234431193 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.45 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999981 y[1] (analytic) = 0 y[1] (numeric) = -3.26194665775378 absolute error = 3.26194665775378 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.46 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999981 y[1] (analytic) = 0 y[1] (numeric) = -3.263508744222289 absolute error = 3.263508744222289 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.47 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.265036568169076 absolute error = 3.265036568169076 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.48 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.266530202856261 absolute error = 3.266530202856261 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.49 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.267989720485834 absolute error = 3.267989720485834 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.269415192209604 absolute error = 3.269415192209604 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.51 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01999999999998 y[1] (analytic) = 0 y[1] (numeric) = -3.270806688138964 absolute error = 3.270806688138964 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.52 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999979 y[1] (analytic) = 0 y[1] (numeric) = -3.272164277354503 absolute error = 3.272164277354503 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.53 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999979 y[1] (analytic) = 0 y[1] (numeric) = -3.273488027915439 absolute error = 3.273488027915439 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.54 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999979 y[1] (analytic) = 0 y[1] (numeric) = -3.274778006868907 absolute error = 3.274778006868907 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.55 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999979 y[1] (analytic) = 0 y[1] (numeric) = -3.276034280259078 absolute error = 3.276034280259078 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.56 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999979 y[1] (analytic) = 0 y[1] (numeric) = -3.277256913136125 absolute error = 3.277256913136125 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.57 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999978 y[1] (analytic) = 0 y[1] (numeric) = -3.278445969565035 absolute error = 3.278445969565035 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.58 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999978 y[1] (analytic) = 0 y[1] (numeric) = -3.279601512634277 absolute error = 3.279601512634277 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.59 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099999999999978 y[1] (analytic) = 0 y[1] (numeric) = -3.280723604464308 absolute error = 3.280723604464308 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999978 y[1] (analytic) = 0 y[1] (numeric) = -3.281812306215953 absolute error = 3.281812306215953 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.61 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999977 y[1] (analytic) = 0 y[1] (numeric) = -3.282867678098618 absolute error = 3.282867678098618 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.62 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999977 y[1] (analytic) = 0 y[1] (numeric) = -3.283889779378387 absolute error = 3.283889779378387 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.63 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999977 y[1] (analytic) = 0 y[1] (numeric) = -3.284878668385961 absolute error = 3.284878668385961 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.64 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999977 y[1] (analytic) = 0 y[1] (numeric) = -3.285834402524466 absolute error = 3.285834402524466 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.65 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999977 y[1] (analytic) = 0 y[1] (numeric) = -3.286757038277135 absolute error = 3.286757038277135 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.66 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999976 y[1] (analytic) = 0 y[1] (numeric) = -3.287646631214846 absolute error = 3.287646631214846 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.67 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999976 y[1] (analytic) = 0 y[1] (numeric) = -3.288503236003535 absolute error = 3.288503236003535 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.68 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189999999999976 y[1] (analytic) = 0 y[1] (numeric) = -3.289326906411484 absolute error = 3.289326906411484 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.69 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999976 y[1] (analytic) = 0 y[1] (numeric) = -3.290117695316475 absolute error = 3.290117695316475 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.7 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999976 y[1] (analytic) = 0 y[1] (numeric) = -3.290875654712832 absolute error = 3.290875654712832 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.71 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999975 y[1] (analytic) = 0 y[1] (numeric) = -3.291600835718326 absolute error = 3.291600835718326 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.72 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999975 y[1] (analytic) = 0 y[1] (numeric) = -3.29229328858097 absolute error = 3.29229328858097 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.73 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999975 y[1] (analytic) = 0 y[1] (numeric) = -3.292953062685695 absolute error = 3.292953062685695 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.74 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999975 y[1] (analytic) = 0 y[1] (numeric) = -3.293580206560903 absolute error = 3.293580206560903 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.75 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999974 y[1] (analytic) = 0 y[1] (numeric) = -3.294174767884913 absolute error = 3.294174767884913 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.76 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999974 y[1] (analytic) = 0 y[1] (numeric) = -3.294736793492287 absolute error = 3.294736793492287 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.77 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279999999999974 y[1] (analytic) = 0 y[1] (numeric) = -3.295266329380046 absolute error = 3.295266329380046 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.78 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999974 y[1] (analytic) = 0 y[1] (numeric) = -3.295763420713782 absolute error = 3.295763420713782 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.79 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999974 y[1] (analytic) = 0 y[1] (numeric) = -3.296228111833652 absolute error = 3.296228111833652 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.8 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999973 y[1] (analytic) = 0 y[1] (numeric) = -3.296660446260274 absolute error = 3.296660446260274 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.81 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999973 y[1] (analytic) = 0 y[1] (numeric) = -3.297060466700511 absolute error = 3.297060466700511 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.82 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999973 y[1] (analytic) = 0 y[1] (numeric) = -3.297428215053156 absolute error = 3.297428215053156 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.83 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999973 y[1] (analytic) = 0 y[1] (numeric) = -3.297763732414515 absolute error = 3.297763732414515 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.84 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999973 y[1] (analytic) = 0 y[1] (numeric) = -3.298067059083881 absolute error = 3.298067059083881 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.85 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999972 y[1] (analytic) = 0 y[1] (numeric) = -3.298338234568925 absolute error = 3.298338234568925 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.86 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369999999999972 y[1] (analytic) = 0 y[1] (numeric) = -3.29857729759097 absolute error = 3.29857729759097 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.87 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999972 y[1] (analytic) = 0 y[1] (numeric) = -3.298784286090181 absolute error = 3.298784286090181 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.88 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999972 y[1] (analytic) = 0 y[1] (numeric) = -3.298959237230659 absolute error = 3.298959237230659 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.89 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999971 y[1] (analytic) = 0 y[1] (numeric) = -3.299102187405433 absolute error = 3.299102187405433 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.9 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999971 y[1] (analytic) = 0 y[1] (numeric) = -3.29921317224137 absolute error = 3.29921317224137 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.91 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999971 y[1] (analytic) = 0 y[1] (numeric) = -3.299292226603983 absolute error = 3.299292226603983 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.92 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999971 y[1] (analytic) = 0 y[1] (numeric) = -3.29933938460216 absolute error = 3.29933938460216 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.93 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999971 y[1] (analytic) = 0 y[1] (numeric) = -3.299354679592791 absolute error = 3.299354679592791 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.94 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.299338144185319 absolute error = 3.299338144185319 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.95 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.299289810246201 absolute error = 3.299289810246201 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.96 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.299209708903274 absolute error = 3.299209708903274 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.97 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.299097870550054 absolute error = 3.299097870550054 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.98 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999999999997 y[1] (analytic) = 0 y[1] (numeric) = -3.298954324849934 absolute error = 3.298954324849934 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 4.99 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999969 y[1] (analytic) = 0 y[1] (numeric) = -3.298779100740313 absolute error = 3.298779100740313 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999969 y[1] (analytic) = 0 y[1] (numeric) = -3.298572226436634 absolute error = 3.298572226436634 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.01 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999969 y[1] (analytic) = 0 y[1] (numeric) = -3.298333729436348 absolute error = 3.298333729436348 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.02 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999969 y[1] (analytic) = 0 y[1] (numeric) = -3.298063636522799 absolute error = 3.298063636522799 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.03 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999969 y[1] (analytic) = 0 y[1] (numeric) = -3.297761973769022 absolute error = 3.297761973769022 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.04 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549999999999968 y[1] (analytic) = 0 y[1] (numeric) = -3.297428766541476 absolute error = 3.297428766541476 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.05 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999968 y[1] (analytic) = 0 y[1] (numeric) = -3.297064039503689 absolute error = 3.297064039503689 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.06 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999968 y[1] (analytic) = 0 y[1] (numeric) = -3.296667816619837 absolute error = 3.296667816619837 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.07 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999968 y[1] (analytic) = 0 y[1] (numeric) = -3.296240121158239 absolute error = 3.296240121158239 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.08 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999967 y[1] (analytic) = 0 y[1] (numeric) = -3.295780975694788 absolute error = 3.295780975694788 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.09 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999967 y[1] (analytic) = 0 y[1] (numeric) = -3.295290402116299 absolute error = 3.295290402116299 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.1 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999967 y[1] (analytic) = 0 y[1] (numeric) = -3.294768421623795 absolute error = 3.294768421623795 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.11 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999967 y[1] (analytic) = 0 y[1] (numeric) = -3.294215054735711 absolute error = 3.294215054735711 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999967 y[1] (analytic) = 0 y[1] (numeric) = -3.293630321291035 absolute error = 3.293630321291035 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639999999999966 y[1] (analytic) = 0 y[1] (numeric) = -3.293014240452377 absolute error = 3.293014240452377 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.14 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999966 y[1] (analytic) = 0 y[1] (numeric) = -3.292366830708968 absolute error = 3.292366830708968 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.15 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999966 y[1] (analytic) = 0 y[1] (numeric) = -3.291688109879594 absolute error = 3.291688109879594 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.16 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999966 y[1] (analytic) = 0 y[1] (numeric) = -3.290978095115455 absolute error = 3.290978095115455 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.17 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999966 y[1] (analytic) = 0 y[1] (numeric) = -3.290236802902964 absolute error = 3.290236802902964 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.18 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999965 y[1] (analytic) = 0 y[1] (numeric) = -3.289464249066479 absolute error = 3.289464249066479 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.19 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999965 y[1] (analytic) = 0 y[1] (numeric) = -3.288660448770967 absolute error = 3.288660448770967 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999965 y[1] (analytic) = 0 y[1] (numeric) = -3.287825416524603 absolute error = 3.287825416524603 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.21 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999965 y[1] (analytic) = 0 y[1] (numeric) = -3.286959166181306 absolute error = 3.286959166181306 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.22 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729999999999964 y[1] (analytic) = 0 y[1] (numeric) = -3.286061710943212 absolute error = 3.286061710943212 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.23 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999964 y[1] (analytic) = 0 y[1] (numeric) = -3.285133063363085 absolute error = 3.285133063363085 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.24 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999964 y[1] (analytic) = 0 y[1] (numeric) = -3.284173235346657 absolute error = 3.284173235346657 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.25 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999964 y[1] (analytic) = 0 y[1] (numeric) = -3.283182238154921 absolute error = 3.283182238154921 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.26 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999964 y[1] (analytic) = 0 y[1] (numeric) = -3.282160082406349 absolute error = 3.282160082406349 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.27 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999963 y[1] (analytic) = 0 y[1] (numeric) = -3.281106778079058 absolute error = 3.281106778079058 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.28 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999963 y[1] (analytic) = 0 y[1] (numeric) = -3.28002233451291 absolute error = 3.28002233451291 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.29 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999963 y[1] (analytic) = 0 y[1] (numeric) = -3.278906760411554 absolute error = 3.278906760411554 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999963 y[1] (analytic) = 0 y[1] (numeric) = -3.277760063844416 absolute error = 3.277760063844416 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.31 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819999999999963 y[1] (analytic) = 0 y[1] (numeric) = -3.276582252248616 absolute error = 3.276582252248616 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.32 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999962 y[1] (analytic) = 0 y[1] (numeric) = -3.275373332430842 absolute error = 3.275373332430842 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.33 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999962 y[1] (analytic) = 0 y[1] (numeric) = -3.274133310569153 absolute error = 3.274133310569153 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.34 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999962 y[1] (analytic) = 0 y[1] (numeric) = -3.272862192214737 absolute error = 3.272862192214737 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.35 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999962 y[1] (analytic) = 0 y[1] (numeric) = -3.2715599822936 absolute error = 3.2715599822936 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.36 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999961 y[1] (analytic) = 0 y[1] (numeric) = -3.270226685108212 absolute error = 3.270226685108212 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.37 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999961 y[1] (analytic) = 0 y[1] (numeric) = -3.268862304339084 absolute error = 3.268862304339084 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.38 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999961 y[1] (analytic) = 0 y[1] (numeric) = -3.267466843046297 absolute error = 3.267466843046297 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.39 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999961 y[1] (analytic) = 0 y[1] (numeric) = -3.266040303670977 absolute error = 3.266040303670977 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909999999999961 y[1] (analytic) = 0 y[1] (numeric) = -3.264582688036709 absolute error = 3.264582688036709 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.41 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.263093997350904 absolute error = 3.263093997350904 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.42 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.261574232206105 absolute error = 3.261574232206105 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.43 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.260023392581245 absolute error = 3.260023392581245 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.44 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.258441477842849 absolute error = 3.258441477842849 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.45 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95999999999996 y[1] (analytic) = 0 y[1] (numeric) = -3.256828486746184 absolute error = 3.256828486746184 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.46 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.255184417436355 absolute error = 3.255184417436355 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.47 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.25350926744935 absolute error = 3.25350926744935 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.48 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.251803033713036 absolute error = 3.251803033713036 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.49 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.250065712548093 absolute error = 3.250065712548093 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.248297299668911 absolute error = 3.248297299668911 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.51 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.246497790184426 absolute error = 3.246497790184426 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.52 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999959 y[1] (analytic) = 0 y[1] (numeric) = -3.244667178598907 absolute error = 3.244667178598907 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.53 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999958 y[1] (analytic) = 0 y[1] (numeric) = -3.242805458812693 absolute error = 3.242805458812693 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.54 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999958 y[1] (analytic) = 0 y[1] (numeric) = -3.240912624122882 absolute error = 3.240912624122882 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.55 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999958 y[1] (analytic) = 0 y[1] (numeric) = -3.238988667223965 absolute error = 3.238988667223965 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.56 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999958 y[1] (analytic) = 0 y[1] (numeric) = -3.237033580208414 absolute error = 3.237033580208414 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.57 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999957 y[1] (analytic) = 0 y[1] (numeric) = -3.235047354567222 absolute error = 3.235047354567222 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.58 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999957 y[1] (analytic) = 0 y[1] (numeric) = -3.233029981190384 absolute error = 3.233029981190384 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.59 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999957 y[1] (analytic) = 0 y[1] (numeric) = -3.230981450367342 absolute error = 3.230981450367342 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999957 y[1] (analytic) = 0 y[1] (numeric) = -3.228901751787371 absolute error = 3.228901751787371 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.61 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999957 y[1] (analytic) = 0 y[1] (numeric) = -3.22679087453992 absolute error = 3.22679087453992 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.62 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999956 y[1] (analytic) = 0 y[1] (numeric) = -3.224648807114904 absolute error = 3.224648807114904 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.63 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999956 y[1] (analytic) = 0 y[1] (numeric) = -3.222475537402945 absolute error = 3.222475537402945 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.64 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999956 y[1] (analytic) = 0 y[1] (numeric) = -3.220271052695573 absolute error = 3.220271052695573 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.65 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999956 y[1] (analytic) = 0 y[1] (numeric) = -3.218035339685362 absolute error = 3.218035339685362 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.66 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999956 y[1] (analytic) = 0 y[1] (numeric) = -3.215768384466039 absolute error = 3.215768384466039 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.67 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999955 y[1] (analytic) = 0 y[1] (numeric) = -3.213470172532528 absolute error = 3.213470172532528 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.68 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999955 y[1] (analytic) = 0 y[1] (numeric) = -3.211140688780953 absolute error = 3.211140688780953 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.69 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999955 y[1] (analytic) = 0 y[1] (numeric) = -3.208779917508593 absolute error = 3.208779917508593 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.7 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999955 y[1] (analytic) = 0 y[1] (numeric) = -3.206387842413792 absolute error = 3.206387842413792 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.71 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999954 y[1] (analytic) = 0 y[1] (numeric) = -3.203964446595812 absolute error = 3.203964446595812 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.72 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999954 y[1] (analytic) = 0 y[1] (numeric) = -3.201509712554651 absolute error = 3.201509712554651 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.73 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999954 y[1] (analytic) = 0 y[1] (numeric) = -3.199023622190803 absolute error = 3.199023622190803 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.74 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999954 y[1] (analytic) = 0 y[1] (numeric) = -3.196506156804976 absolute error = 3.196506156804976 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.75 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999954 y[1] (analytic) = 0 y[1] (numeric) = -3.193957297097765 absolute error = 3.193957297097765 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.76 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999953 y[1] (analytic) = 0 y[1] (numeric) = -3.191377023169269 absolute error = 3.191377023169269 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.77 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999953 y[1] (analytic) = 0 y[1] (numeric) = -3.188765314518669 absolute error = 3.188765314518669 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.78 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999953 y[1] (analytic) = 0 y[1] (numeric) = -3.186122150043756 absolute error = 3.186122150043756 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.79 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999953 y[1] (analytic) = 0 y[1] (numeric) = -3.183447508040412 absolute error = 3.183447508040412 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.8 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999953 y[1] (analytic) = 0 y[1] (numeric) = -3.180741366202042 absolute error = 3.180741366202042 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.81 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999952 y[1] (analytic) = 0 y[1] (numeric) = -3.178003701618962 absolute error = 3.178003701618962 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.82 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999952 y[1] (analytic) = 0 y[1] (numeric) = -3.175234490777739 absolute error = 3.175234490777739 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.83 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999952 y[1] (analytic) = 0 y[1] (numeric) = -3.17243370956048 absolute error = 3.17243370956048 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.84 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999952 y[1] (analytic) = 0 y[1] (numeric) = -3.169601333244083 absolute error = 3.169601333244083 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.85 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999951 y[1] (analytic) = 0 y[1] (numeric) = -3.166737336499427 absolute error = 3.166737336499427 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.86 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999951 y[1] (analytic) = 0 y[1] (numeric) = -3.16384169339053 absolute error = 3.16384169339053 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.87 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999951 y[1] (analytic) = 0 y[1] (numeric) = -3.160914377373648 absolute error = 3.160914377373648 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.88 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999951 y[1] (analytic) = 0 y[1] (numeric) = -3.157955361296334 absolute error = 3.157955361296334 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.89 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999951 y[1] (analytic) = 0 y[1] (numeric) = -3.154964617396445 absolute error = 3.154964617396445 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.9 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.40999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.151942117301101 absolute error = 3.151942117301101 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.91 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.148887832025606 absolute error = 3.148887832025606 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.92 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.145801731972308 absolute error = 3.145801731972308 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.93 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.43999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.14268378692942 absolute error = 3.14268378692942 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.94 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44999999999995 y[1] (analytic) = 0 y[1] (numeric) = -3.139533966069791 absolute error = 3.139533966069791 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.95 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999949 y[1] (analytic) = 0 y[1] (numeric) = -3.136352237949628 absolute error = 3.136352237949628 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.96 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999949 y[1] (analytic) = 0 y[1] (numeric) = -3.133138570507175 absolute error = 3.133138570507175 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.97 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999949 y[1] (analytic) = 0 y[1] (numeric) = -3.129892931061334 absolute error = 3.129892931061334 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.98 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999949 y[1] (analytic) = 0 y[1] (numeric) = -3.126615286310248 absolute error = 3.126615286310248 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 5.99 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999948 y[1] (analytic) = 0 y[1] (numeric) = -3.123305602329831 absolute error = 3.123305602329831 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999948 y[1] (analytic) = 0 y[1] (numeric) = -3.11996384457225 absolute error = 3.11996384457225 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.01 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999948 y[1] (analytic) = 0 y[1] (numeric) = -3.116589977864357 absolute error = 3.116589977864357 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.02 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999948 y[1] (analytic) = 0 y[1] (numeric) = -3.113183966406077 absolute error = 3.113183966406077 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.03 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999948 y[1] (analytic) = 0 y[1] (numeric) = -3.10974577376874 absolute error = 3.10974577376874 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.04 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999947 y[1] (analytic) = 0 y[1] (numeric) = -3.106275362893367 absolute error = 3.106275362893367 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.05 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999947 y[1] (analytic) = 0 y[1] (numeric) = -3.102772696088914 absolute error = 3.102772696088914 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.06 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999947 y[1] (analytic) = 0 y[1] (numeric) = -3.099237735030451 absolute error = 3.099237735030451 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.07 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999947 y[1] (analytic) = 0 y[1] (numeric) = -3.095670440757305 absolute error = 3.095670440757305 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.08 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999947 y[1] (analytic) = 0 y[1] (numeric) = -3.092070773671148 absolute error = 3.092070773671148 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.09 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999946 y[1] (analytic) = 0 y[1] (numeric) = -3.088438693534033 absolute error = 3.088438693534033 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.1 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999946 y[1] (analytic) = 0 y[1] (numeric) = -3.084774159466384 absolute error = 3.084774159466384 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.11 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999946 y[1] (analytic) = 0 y[1] (numeric) = -3.081077129944929 absolute error = 3.081077129944929 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999946 y[1] (analytic) = 0 y[1] (numeric) = -3.07734756280059 absolute error = 3.07734756280059 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999946 y[1] (analytic) = 0 y[1] (numeric) = -3.073585415216318 absolute error = 3.073585415216318 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.14 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999945 y[1] (analytic) = 0 y[1] (numeric) = -3.069790643724874 absolute error = 3.069790643724874 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.15 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999945 y[1] (analytic) = 0 y[1] (numeric) = -3.065963204206562 absolute error = 3.065963204206562 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.16 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999945 y[1] (analytic) = 0 y[1] (numeric) = -3.062103051886911 absolute error = 3.062103051886911 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.17 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999945 y[1] (analytic) = 0 y[1] (numeric) = -3.0582101413343 absolute error = 3.0582101413343 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.18 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999944 y[1] (analytic) = 0 y[1] (numeric) = -3.054284426457536 absolute error = 3.054284426457536 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.19 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999944 y[1] (analytic) = 0 y[1] (numeric) = -3.050325860503375 absolute error = 3.050325860503375 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999944 y[1] (analytic) = 0 y[1] (numeric) = -3.046334396053993 absolute error = 3.046334396053993 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.21 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999944 y[1] (analytic) = 0 y[1] (numeric) = -3.042309985024403 absolute error = 3.042309985024403 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.22 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999944 y[1] (analytic) = 0 y[1] (numeric) = -3.038252578659812 absolute error = 3.038252578659812 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.23 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999943 y[1] (analytic) = 0 y[1] (numeric) = -3.034162127532936 absolute error = 3.034162127532936 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.24 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999943 y[1] (analytic) = 0 y[1] (numeric) = -3.03003858154125 absolute error = 3.03003858154125 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.25 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999943 y[1] (analytic) = 0 y[1] (numeric) = -3.025881889904189 absolute error = 3.025881889904189 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.26 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999943 y[1] (analytic) = 0 y[1] (numeric) = -3.02169200116029 absolute error = 3.02169200116029 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.27 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999943 y[1] (analytic) = 0 y[1] (numeric) = -3.017468863164282 absolute error = 3.017468863164282 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.28 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999942 y[1] (analytic) = 0 y[1] (numeric) = -3.013212423084118 absolute error = 3.013212423084118 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.29 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999942 y[1] (analytic) = 0 y[1] (numeric) = -3.00892262739795 absolute error = 3.00892262739795 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999942 y[1] (analytic) = 0 y[1] (numeric) = -3.004599421891048 absolute error = 3.004599421891048 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.31 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999942 y[1] (analytic) = 0 y[1] (numeric) = -3.000242751652666 absolute error = 3.000242751652666 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.32 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999941 y[1] (analytic) = 0 y[1] (numeric) = -2.99585256107284 absolute error = 2.99585256107284 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.33 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999941 y[1] (analytic) = 0 y[1] (numeric) = -2.991428793839142 absolute error = 2.991428793839142 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.34 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999941 y[1] (analytic) = 0 y[1] (numeric) = -2.986971392933362 absolute error = 2.986971392933362 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.35 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999941 y[1] (analytic) = 0 y[1] (numeric) = -2.98248030062814 absolute error = 2.98248030062814 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.36 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999941 y[1] (analytic) = 0 y[1] (numeric) = -2.977955458483532 absolute error = 2.977955458483532 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.37 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87999999999994 y[1] (analytic) = 0 y[1] (numeric) = -2.973396807343528 absolute error = 2.973396807343528 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.38 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88999999999994 y[1] (analytic) = 0 y[1] (numeric) = -2.968804287332491 absolute error = 2.968804287332491 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.39 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89999999999994 y[1] (analytic) = 0 y[1] (numeric) = -2.964177837851554 absolute error = 2.964177837851554 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90999999999994 y[1] (analytic) = 0 y[1] (numeric) = -2.95951739757494 absolute error = 2.95951739757494 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.41 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999999999994 y[1] (analytic) = 0 y[1] (numeric) = -2.954822904446235 absolute error = 2.954822904446235 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.42 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999939 y[1] (analytic) = 0 y[1] (numeric) = -2.950094295674583 absolute error = 2.950094295674583 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.43 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999939 y[1] (analytic) = 0 y[1] (numeric) = -2.945331507730831 absolute error = 2.945331507730831 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.44 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999939 y[1] (analytic) = 0 y[1] (numeric) = -2.940534476343602 absolute error = 2.940534476343602 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.45 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999939 y[1] (analytic) = 0 y[1] (numeric) = -2.935703136495309 absolute error = 2.935703136495309 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.46 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999938 y[1] (analytic) = 0 y[1] (numeric) = -2.930837422418101 absolute error = 2.930837422418101 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.47 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999938 y[1] (analytic) = 0 y[1] (numeric) = -2.925937267589747 absolute error = 2.925937267589747 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.48 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989999999999938 y[1] (analytic) = 0 y[1] (numeric) = -2.921002604729448 absolute error = 2.921002604729448 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.49 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999938 y[1] (analytic) = 0 y[1] (numeric) = -2.916033365793592 absolute error = 2.916033365793592 relative error = -1 % Desired digits = 10 Estimated correct digits = 11 Correct digits = -16 h = 0.01 Radius of convergence (given) for eq 1 = 6.5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; Iterations = 491 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100.4 %