##############ECHO OF PROBLEM################# ##############temp/ln_sqrtpostode.ode################# diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=10.0; x_end=11.0; 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]=-2.0; 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(5.0 * ln(0.1 * x + 0.2) * ( 0.1 * x + 0.2) - 0.5 * x - 1.0); } /* 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 = 1 estimated_steps = 1000 step_error = 7.905694150420948e-14 est_needed_step_err = 7.905694150420948e-14 opt_iter = 1 Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.01 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.906070659236272 glob_desired_digits_correct = 10 estimated_h = 0.001 estimated_answer = 4.906070659236272 desired_abs_gbl_error = 4.906070659236273e-10 range = 1 estimated_steps = 1000 step_error = 3.878589411227605e-13 est_needed_step_err = 3.878589411227605e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.070348865094756e-150 estimated_step_error = 6.070348865094756e-150 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.01 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.906070659236272 glob_desired_digits_correct = 10 estimated_h = 0.002 estimated_answer = 4.906070659236272 desired_abs_gbl_error = 4.906070659236273e-10 range = 1 estimated_steps = 500 step_error = 5.485153748234755e-13 est_needed_step_err = 5.485153748234755e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.171347320877985e-139 estimated_step_error = 4.171347320877985e-139 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.01 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.906070659236272 glob_desired_digits_correct = 10 estimated_h = 0.004 estimated_answer = 4.906070659236272 desired_abs_gbl_error = 4.906070659236273e-10 range = 1 estimated_steps = 250 step_error = 7.75717882245521e-13 est_needed_step_err = 7.75717882245521e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.866301778109234e-128 estimated_step_error = 2.866301778109234e-128 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.01 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.906070659236272 glob_desired_digits_correct = 10 estimated_h = 0.008 estimated_answer = 4.906070659236272 desired_abs_gbl_error = 4.906070659236273e-10 range = 1 estimated_steps = 125 step_error = 1.097030749646951e-12 est_needed_step_err = 1.097030749646951e-12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.969396669208636e-117 estimated_step_error = 1.969396669208636e-117 Double H and LOOP opt_iter = 5 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.508 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 10 y[1] (analytic) = -4.906070659236272 y[1] (numeric) = -4.906070659236272 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.01 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.01 y[1] (analytic) = -4.905156968697431 y[1] (numeric) = -4.90515696840817 absolute error = 2.892610595495171e-10 relative error = 5.897080590803817e-09 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 12.01 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.02 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.02 y[1] (analytic) = -4.904239114960775 y[1] (numeric) = -4.904239114382733 absolute error = 5.780416145739764e-10 relative error = 1.17865707814004e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.02 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.03 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.03 y[1] (analytic) = -4.903317101489861 y[1] (numeric) = -4.90331710062352 absolute error = 8.66341665073378e-10 relative error = 1.766848129830604e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.03 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.04 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.04 y[1] (analytic) = -4.902390931742492 y[1] (numeric) = -4.90239093058833 absolute error = 1.154162099226141e-09 relative error = 2.354284093814422e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.04 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.05 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.05 y[1] (analytic) = -4.901460609170725 y[1] (numeric) = -4.90146060772922 absolute error = 1.441504693389106e-09 relative error = 2.940969658497355e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.05 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.06 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.06 y[1] (analytic) = -4.900526137220887 y[1] (numeric) = -4.900526135492517 absolute error = 1.728370335740692e-09 relative error = 3.526907697957631e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.06 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.07 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.07 y[1] (analytic) = -4.899587519333594 y[1] (numeric) = -4.899587517318833 absolute error = 2.014761690816158e-09 relative error = 4.112104708541243e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.07 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.08 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.08 y[1] (analytic) = -4.898644758943757 y[1] (numeric) = -4.898644756643077 absolute error = 2.300679646793924e-09 relative error = 4.696563559938556e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.08 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.09 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.09 y[1] (analytic) = -4.897697859480597 y[1] (numeric) = -4.897697856894474 absolute error = 2.58612242731715e-09 relative error = 5.280281678281007e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.09 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.1 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.1 y[1] (analytic) = -4.89674682436767 y[1] (numeric) = -4.896746821496575 absolute error = 2.871094473277935e-09 relative error = 5.863269179020069e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.1 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.11 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.11 y[1] (analytic) = -4.895791657022866 y[1] (numeric) = -4.895791653867271 absolute error = 3.15559489649786e-09 relative error = 6.445525295120052e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.11 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.12 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.12 y[1] (analytic) = -4.894832360858437 y[1] (numeric) = -4.89483235741881 absolute error = 3.439626361512182e-09 relative error = 7.027056511714641e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.12 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.13 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.13 y[1] (analytic) = -4.893868939280998 y[1] (numeric) = -4.893868935557808 absolute error = 3.723189756499323e-09 relative error = 7.607865683968092e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.14 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.14 y[1] (analytic) = -4.892901395691549 y[1] (numeric) = -4.892901391685265 absolute error = 4.006284193280862e-09 relative error = 8.187952033549258e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.14 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.15 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.15 y[1] (analytic) = -4.891929733485491 y[1] (numeric) = -4.891929729196577 absolute error = 4.288914112748898e-09 relative error = 8.767325669849829e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.15 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.16 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.16 y[1] (analytic) = -4.890953956052631 y[1] (numeric) = -4.890953951481552 absolute error = 4.571078626725011e-09 relative error = 9.345985809308697e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.16 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.17 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.17 y[1] (analytic) = -4.889974066777201 y[1] (numeric) = -4.889974061924422 absolute error = 4.852779511566041e-09 relative error = 9.923937111519951e-08 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 12.17 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.18 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.18 y[1] (analytic) = -4.888990069037876 y[1] (numeric) = -4.888990063903857 absolute error = 5.134018543628827e-09 relative error = 1.050118423463922e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.18 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.19 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.19 y[1] (analytic) = -4.888001966207776 y[1] (numeric) = -4.888001960792981 absolute error = 5.414794834734948e-09 relative error = 1.107772638425485e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.19 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.2 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.2 y[1] (analytic) = -4.887009761654493 y[1] (numeric) = -4.887009755959382 absolute error = 5.695111049419666e-09 relative error = 1.165357002989e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.2 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.21 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.21 y[1] (analytic) = -4.886013458740095 y[1] (numeric) = -4.886013452765128 absolute error = 5.974967187682978e-09 relative error = 1.222871618782581e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.21 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.22 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.22 y[1] (analytic) = -4.885013060821144 y[1] (numeric) = -4.885013054566778 absolute error = 6.254365914060145e-09 relative error = 1.280317132459994e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.22 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.23 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.23 y[1] (analytic) = -4.88400857124871 y[1] (numeric) = -4.884008564715402 absolute error = 6.533308116729586e-09 relative error = 1.337693826990806e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.23 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.24 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.23999999999999 y[1] (analytic) = -4.882999993368378 y[1] (numeric) = -4.882999986556586 absolute error = 6.811792019334462e-09 relative error = 1.395001439399055e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.24 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.25 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.24999999999999 y[1] (analytic) = -4.881987330520273 y[1] (numeric) = -4.881987323430449 absolute error = 7.08982383912371e-09 relative error = 1.452241343356405e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.25 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.26 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.25999999999999 y[1] (analytic) = -4.88097058603906 y[1] (numeric) = -4.88097057867166 absolute error = 7.367400023383652e-09 relative error = 1.509412911533718e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.26 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.27 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.26999999999999 y[1] (analytic) = -4.87994976325397 y[1] (numeric) = -4.879949755609444 absolute error = 7.644525901184807e-09 relative error = 1.566517335639006e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.27 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.28 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.27999999999999 y[1] (analytic) = -4.878924865488804 y[1] (numeric) = -4.878924857567605 absolute error = 7.921198807991914e-09 relative error = 1.623554169489822e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.28 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.29 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.28999999999999 y[1] (analytic) = -4.877895896061949 y[1] (numeric) = -4.877895887864528 absolute error = 8.197420520161813e-09 relative error = 1.680523876448409e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.29 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.3 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.29999999999999 y[1] (analytic) = -4.876862858286396 y[1] (numeric) = -4.876862849813201 absolute error = 8.473194590408184e-09 relative error = 1.737427284019516e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.3 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.31 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.30999999999999 y[1] (analytic) = -4.875825755469743 y[1] (numeric) = -4.875825746721223 absolute error = 8.748519242374186e-09 relative error = 1.794264126965576e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.31 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.32 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.31999999999999 y[1] (analytic) = -4.87478459091422 y[1] (numeric) = -4.874784581890823 absolute error = 9.02339714059508e-09 relative error = 1.851035050330876e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.32 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.33 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.32999999999999 y[1] (analytic) = -4.873739367916694 y[1] (numeric) = -4.873739358618863 absolute error = 9.297830949606123e-09 relative error = 1.907740699228348e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.33 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.34 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.33999999999999 y[1] (analytic) = -4.872690089768681 y[1] (numeric) = -4.872690080196864 absolute error = 9.571817116693637e-09 relative error = 1.964380442908085e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.34 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.35 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.34999999999999 y[1] (analytic) = -4.871636759756369 y[1] (numeric) = -4.871636749911008 absolute error = 9.845360970928141e-09 relative error = 2.020955472759941e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.35 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.36 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.35999999999999 y[1] (analytic) = -4.870579381160616 y[1] (numeric) = -4.870579371042155 absolute error = 1.011846073595279e-08 relative error = 2.077465521882461e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.36 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.37 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.36999999999999 y[1] (analytic) = -4.869517957256981 y[1] (numeric) = -4.86951794686586 absolute error = 1.03911208526597e-08 relative error = 2.133911599437464e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.37 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.38 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.37999999999999 y[1] (analytic) = -4.868452491315718 y[1] (numeric) = -4.868452480652379 absolute error = 1.066333954469201e-08 relative error = 2.190293437948328e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.38 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.39 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.38999999999999 y[1] (analytic) = -4.867382986601802 y[1] (numeric) = -4.867382975666684 absolute error = 1.093511770022815e-08 relative error = 2.246611316662093e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.39 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.4 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.39999999999999 y[1] (analytic) = -4.866309446374939 y[1] (numeric) = -4.86630943516848 absolute error = 1.120645887198179e-08 relative error = 2.302866062151026e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.4 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.41 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.40999999999999 y[1] (analytic) = -4.865231873889574 y[1] (numeric) = -4.865231862412212 absolute error = 1.147736217177453e-08 relative error = 2.359057588471894e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.41 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.42 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.41999999999999 y[1] (analytic) = -4.864150272394909 y[1] (numeric) = -4.864150260647079 absolute error = 1.174782937596319e-08 relative error = 2.415186356933632e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.42 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.43 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.42999999999999 y[1] (analytic) = -4.863064645134914 y[1] (numeric) = -4.863064633117053 absolute error = 1.20178613727262e-08 relative error = 2.471252646157821e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.43 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.44 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.43999999999999 y[1] (analytic) = -4.861974995348337 y[1] (numeric) = -4.86197498306088 absolute error = 1.228745727388514e-08 relative error = 2.527256369199982e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.44 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.45 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.44999999999999 y[1] (analytic) = -4.860881326268725 y[1] (numeric) = -4.860881313712103 absolute error = 1.255662240851052e-08 relative error = 2.583198717617972e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.45 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.46 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.45999999999999 y[1] (analytic) = -4.859783641124422 y[1] (numeric) = -4.859783628299069 absolute error = 1.282535322388867e-08 relative error = 2.639079055980614e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.46 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.47 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.46999999999999 y[1] (analytic) = -4.858681943138598 y[1] (numeric) = -4.858681930044944 absolute error = 1.309365416091168e-08 relative error = 2.694898393051322e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.47 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.48 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.47999999999999 y[1] (analytic) = -4.857576235529249 y[1] (numeric) = -4.857576222167724 absolute error = 1.336152521957956e-08 relative error = 2.750656823839591e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.48 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.49 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.48999999999999 y[1] (analytic) = -4.856466521509214 y[1] (numeric) = -4.856466507880248 absolute error = 1.362896551171389e-08 relative error = 2.806354260108952e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.49 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.5 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.49999999999999 y[1] (analytic) = -4.85535280428619 y[1] (numeric) = -4.85535279039021 absolute error = 1.389598036638517e-08 relative error = 2.861991893589716e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.5 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.51 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.50999999999999 y[1] (analytic) = -4.854235087062738 y[1] (numeric) = -4.854235072900172 absolute error = 1.416256623087975e-08 relative error = 2.917569086965957e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.51 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.52 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.51999999999999 y[1] (analytic) = -4.853113373036305 y[1] (numeric) = -4.853113358607577 absolute error = 1.44287275460897e-08 relative error = 2.973086849001944e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.52 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.53 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.52999999999999 y[1] (analytic) = -4.851987665399222 y[1] (numeric) = -4.851987650704759 absolute error = 1.469446342383662e-08 relative error = 3.028545090628865e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.53 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.54 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.53999999999999 y[1] (analytic) = -4.85085796733873 y[1] (numeric) = -4.850857952378956 absolute error = 1.495977475229893e-08 relative error = 3.083944088452899e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.54 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.55 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.54999999999999 y[1] (analytic) = -4.849724282036988 y[1] (numeric) = -4.849724266812323 absolute error = 1.522466419601187e-08 relative error = 3.139284485182566e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.55 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.56 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.55999999999999 y[1] (analytic) = -4.848586612671077 y[1] (numeric) = -4.848586597181947 absolute error = 1.548913086679704e-08 relative error = 3.194566190963454e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.56 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.57 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.56999999999999 y[1] (analytic) = -4.847444962413028 y[1] (numeric) = -4.84744494665985 absolute error = 1.575317742918969e-08 relative error = 3.249789848330296e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.57 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.58 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.57999999999999 y[1] (analytic) = -4.846299334429817 y[1] (numeric) = -4.846299318413013 absolute error = 1.601680477136824e-08 relative error = 3.304955733456087e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.58 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.59 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.58999999999999 y[1] (analytic) = -4.845149731883389 y[1] (numeric) = -4.845149715603378 absolute error = 1.628001111697586e-08 relative error = 3.360063572410496e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.59 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.6 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.59999999999999 y[1] (analytic) = -4.843996157930666 y[1] (numeric) = -4.843996141387865 absolute error = 1.654280090690463e-08 relative error = 3.415114374073253e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.6 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.61 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.60999999999999 y[1] (analytic) = -4.842838615723557 y[1] (numeric) = -4.842838598918385 absolute error = 1.680517236479773e-08 relative error = 3.470107864060406e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.61 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.62 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.61999999999999 y[1] (analytic) = -4.841677108408977 y[1] (numeric) = -4.841677091341847 absolute error = 1.706712993154724e-08 relative error = 3.525045051415184e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.62 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.63 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.62999999999999 y[1] (analytic) = -4.840511639128846 y[1] (numeric) = -4.840511621800174 absolute error = 1.732867183079634e-08 relative error = 3.579925661311911e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.63 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.64 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.63999999999999 y[1] (analytic) = -4.839342211020115 y[1] (numeric) = -4.839342193430316 absolute error = 1.758979895072343e-08 relative error = 3.634749968842475e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.64 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.65 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.64999999999999 y[1] (analytic) = -4.838168827214768 y[1] (numeric) = -4.838168809364254 absolute error = 1.785051395586379e-08 relative error = 3.689518616104175e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.65 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.66 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.65999999999999 y[1] (analytic) = -4.836991490839839 y[1] (numeric) = -4.836991472729023 absolute error = 1.811081595803898e-08 relative error = 3.744231510916806e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.66 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.67 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.66999999999999 y[1] (analytic) = -4.835810205017424 y[1] (numeric) = -4.835810186646715 absolute error = 1.83707085099627e-08 relative error = 3.798889478934069e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.67 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.68 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.67999999999999 y[1] (analytic) = -4.834624972864686 y[1] (numeric) = -4.834624954234495 absolute error = 1.863019072345651e-08 relative error = 3.853492427648936e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.68 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.69 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.68999999999999 y[1] (analytic) = -4.833435797493872 y[1] (numeric) = -4.833435778604609 absolute error = 1.888926259852042e-08 relative error = 3.908040447814465e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.69 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.7 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.69999999999999 y[1] (analytic) = -4.832242682012327 y[1] (numeric) = -4.8322426628644 absolute error = 1.91479276878681e-08 relative error = 3.962534365077498e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.7 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.71 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.70999999999998 y[1] (analytic) = -4.831045629522501 y[1] (numeric) = -4.831045610116317 absolute error = 1.940618421514273e-08 relative error = 4.016973902409783e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.71 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.72 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.71999999999998 y[1] (analytic) = -4.829844643121964 y[1] (numeric) = -4.829844623457928 absolute error = 1.966403662123639e-08 relative error = 4.071360069363588e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.72 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.73 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.72999999999998 y[1] (analytic) = -4.828639725903412 y[1] (numeric) = -4.828639705981929 absolute error = 1.992148312979225e-08 relative error = 4.125692588519855e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.73 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.74 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.73999999999998 y[1] (analytic) = -4.827430880954682 y[1] (numeric) = -4.827430860776158 absolute error = 2.017852462898873e-08 relative error = 4.179971733743018e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.74 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.75 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.74999999999998 y[1] (analytic) = -4.826218111358769 y[1] (numeric) = -4.826218090923605 absolute error = 2.043516378336108e-08 relative error = 4.234198146840027e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.75 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.76 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.75999999999998 y[1] (analytic) = -4.825001420193825 y[1] (numeric) = -4.825001399502426 absolute error = 2.069139881655246e-08 relative error = 4.288371549478481e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.76 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.77 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.76999999999998 y[1] (analytic) = -4.823780810533184 y[1] (numeric) = -4.823780789585949 absolute error = 2.094723505763341e-08 relative error = 4.342493135652667e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.77 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.78 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.77999999999998 y[1] (analytic) = -4.82255628544536 y[1] (numeric) = -4.82255626424269 absolute error = 2.120266984206864e-08 relative error = 4.396562442632143e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.78 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.79 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.78999999999998 y[1] (analytic) = -4.82132784799407 y[1] (numeric) = -4.821327826536365 absolute error = 2.145770494621502e-08 relative error = 4.450579927922257e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.79 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.8 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.79999999999998 y[1] (analytic) = -4.820095501238237 y[1] (numeric) = -4.820095479525896 absolute error = 2.171234125825094e-08 relative error = 4.504545864842978e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.8 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.81 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.80999999999998 y[1] (analytic) = -4.818859248232006 y[1] (numeric) = -4.818859226265428 absolute error = 2.196657877817643e-08 relative error = 4.558460342296936e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.81 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.82 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.81999999999998 y[1] (analytic) = -4.817619092024756 y[1] (numeric) = -4.817619069804334 absolute error = 2.222042194688356e-08 relative error = 4.612324370697545e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.82 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.83 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.82999999999998 y[1] (analytic) = -4.816375035661104 y[1] (numeric) = -4.816375013187236 absolute error = 2.247386809983709e-08 relative error = 4.66613748585554e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.83 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.84 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.83999999999998 y[1] (analytic) = -4.815127082180922 y[1] (numeric) = -4.815127059454004 absolute error = 2.272691812521543e-08 relative error = 4.719899960547189e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.84 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.85 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.84999999999998 y[1] (analytic) = -4.813875234619351 y[1] (numeric) = -4.813875211639774 absolute error = 2.297957646391069e-08 relative error = 4.773612805469347e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.85 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.86 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.85999999999998 y[1] (analytic) = -4.812619496006802 y[1] (numeric) = -4.812619472774962 absolute error = 2.323183956320918e-08 relative error = 4.827275371029321e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.86 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.87 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.86999999999998 y[1] (analytic) = -4.811359869368979 y[1] (numeric) = -4.811359845885266 absolute error = 2.348371275218142e-08 relative error = 4.880888852585737e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.87 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.88 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.87999999999998 y[1] (analytic) = -4.810096357726881 y[1] (numeric) = -4.810096333991686 absolute error = 2.373519514264899e-08 relative error = 4.934453153837772e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.88 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.89 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.88999999999998 y[1] (analytic) = -4.808828964096813 y[1] (numeric) = -4.808828940110528 absolute error = 2.398628495825506e-08 relative error = 4.987967993317916e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.89 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.9 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.89999999999998 y[1] (analytic) = -4.807557691490407 y[1] (numeric) = -4.807557667253421 absolute error = 2.423698663989171e-08 relative error = 5.041434382117196e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.9 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.91 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.90999999999998 y[1] (analytic) = -4.806282542914619 y[1] (numeric) = -4.806282518427321 absolute error = 2.448729841120212e-08 relative error = 5.094852038463923e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.91 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.92 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.91999999999998 y[1] (analytic) = -4.805003521371753 y[1] (numeric) = -4.805003496634529 absolute error = 2.473722382489996e-08 relative error = 5.148221788990046e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.92 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.93 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.92999999999998 y[1] (analytic) = -4.803720629859461 y[1] (numeric) = -4.803720604872697 absolute error = 2.498676376916364e-08 relative error = 5.201543906164807e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.93 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.94 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.93999999999998 y[1] (analytic) = -4.802433871370757 y[1] (numeric) = -4.802433846134841 absolute error = 2.523591557945792e-08 relative error = 5.254817922616152e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.94 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.95 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.94999999999998 y[1] (analytic) = -4.801143248894033 y[1] (numeric) = -4.801143223409349 absolute error = 2.548468369667489e-08 relative error = 5.308044850056372e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.95 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.96 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.95999999999998 y[1] (analytic) = -4.799848765413064 y[1] (numeric) = -4.799848739679997 absolute error = 2.573306723263613e-08 relative error = 5.361224590671369e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.96 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.97 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.96999999999998 y[1] (analytic) = -4.798550423907023 y[1] (numeric) = -4.798550397925954 absolute error = 2.59810688518769e-08 relative error = 5.414357786558983e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.97 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.98 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.97999999999998 y[1] (analytic) = -4.797248227350484 y[1] (numeric) = -4.797248201121795 absolute error = 2.622868855439719e-08 relative error = 5.467444524729811e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.98 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 12.99 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.98999999999998 y[1] (analytic) = -4.795942178713439 y[1] (numeric) = -4.795942152237514 absolute error = 2.647592456384018e-08 relative error = 5.520484521550805e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 12.99 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 10.99999999999998 y[1] (analytic) = -4.794632280961311 y[1] (numeric) = -4.79463225423853 absolute error = 2.672278132109795e-08 relative error = 5.573478789439116e-07 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 9 h = 0.01 Radius of convergence (given) for eq 1 = 13 Order of pole (given) = 0.5 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.01 Order of pole (three term test) = 0.911 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 102 %