##############ECHO OF PROBLEM################# ##############temp/lin_arccospostode.ode################# diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms=30; Digits=32; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=-0.8; x_end=0.8; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=100; glob_max_h=0.001; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(10.0 * (0.1 * x + 0.2) * arccos(0.1 * x + 0.2 ) - 10.0 * sqrt(1.0 - expt((0.1 * x + 0.2) , 2 ))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 1.6 estimated_steps = 1600000 step_error = 6.249999999999999e-17 est_needed_step_err = 6.249999999999999e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.939391627071974e-185 estimated_step_error = 2.939391627071974e-185 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.972592334120114e-177 estimated_step_error = 1.972592334120114e-177 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.323784313061802e-169 estimated_step_error = 1.323784313061802e-169 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.883766227384439e-162 estimated_step_error = 8.883766227384439e-162 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.961794708790762e-154 estimated_step_error = 5.961794708790762e-154 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.000892854982473e-146 estimated_step_error = 4.000892854982473e-146 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.684953948705064e-138 estimated_step_error = 2.684953948705064e-138 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.801842367504158e-130 estimated_step_error = 1.801842367504158e-130 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.209196311066125e-122 estimated_step_error = 1.209196311066125e-122 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.114784005153493e-115 estimated_step_error = 8.114784005153493e-115 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.445745969319528e-107 estimated_step_error = 5.445745969319528e-107 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (analytic) = -8.187131183512555 y[1] (numeric) = -8.187131183512555 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1176 Order of pole (three term test) = -24.66 Radius of convergence (six term test) for eq 1 = 9.962 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (analytic) = -8.172631155666922 y[1] (numeric) = -8.172631155662819 absolute error = 4.103384299014579e-12 relative error = 5.020885221486207e-11 % Correct digits = 13 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1086 Order of pole (three term test) = -24.87 Radius of convergence (six term test) for eq 1 = 9.961 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (analytic) = -8.15814120184096 y[1] (numeric) = -8.158141201832716 absolute error = 8.244072091656562e-12 relative error = 1.010533145687183e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09941 Order of pole (three term test) = -25.05 Radius of convergence (six term test) for eq 1 = 9.96 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (analytic) = -8.143661323277081 y[1] (numeric) = -8.143661323264663 absolute error = 1.241851066424715e-11 relative error = 1.52492965648648e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09003 Order of pole (three term test) = -25.19 Radius of convergence (six term test) for eq 1 = 9.958 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (analytic) = -8.129191521228385 y[1] (numeric) = -8.129191521211752 absolute error = 1.663380544414395e-11 relative error = 2.04618200970008e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08048 Order of pole (three term test) = -25.31 Radius of convergence (six term test) for eq 1 = 9.957 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (analytic) = -8.114731796958676 y[1] (numeric) = -8.114731796937795 absolute error = 2.088107464714994e-11 relative error = 2.573230412245537e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07078 Order of pole (three term test) = -25.39 Radius of convergence (six term test) for eq 1 = 9.956 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (analytic) = -8.100282151742475 y[1] (numeric) = -8.100282151717309 absolute error = 2.516564734378335e-11 relative error = 3.106761822903897e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06096 Order of pole (three term test) = -25.44 Radius of convergence (six term test) for eq 1 = 9.955 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (analytic) = -8.085842586865027 y[1] (numeric) = -8.085842586835541 absolute error = 2.948574717720476e-11 relative error = 3.646589314650103e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05103 Order of pole (three term test) = -25.46 Radius of convergence (six term test) for eq 1 = 9.954 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (analytic) = -8.071413103622318 y[1] (numeric) = -8.071413103588476 absolute error = 3.384137414741417e-11 relative error = 4.192744654864304e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04104 Order of pole (three term test) = -25.44 Radius of convergence (six term test) for eq 1 = 9.952 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (analytic) = -8.056993703321082 y[1] (numeric) = -8.056993703282853 absolute error = 3.822897554073279e-11 relative error = 4.744818842910956e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.031 Order of pole (three term test) = -25.39 Radius of convergence (six term test) for eq 1 = 9.951 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (analytic) = -8.042584387278819 y[1] (numeric) = -8.042584387236165 absolute error = 4.265388042767881e-11 relative error = 5.303504243629157e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02095 Order of pole (three term test) = -25.31 Radius of convergence (six term test) for eq 1 = 9.95 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6899999999999999 y[1] (analytic) = -8.028185156823803 y[1] (numeric) = -8.028185156776688 absolute error = 4.711431245141284e-11 relative error = 5.868613083913067e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0109 Order of pole (three term test) = -25.2 Radius of convergence (six term test) for eq 1 = 9.948 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6799999999999999 y[1] (analytic) = -8.013796013295094 y[1] (numeric) = -8.013796013243482 absolute error = 5.161204796877428e-11 relative error = 6.440399516427491e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0008903 Order of pole (three term test) = -25.05 Radius of convergence (six term test) for eq 1 = 9.947 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6699999999999999 y[1] (analytic) = -7.999416958042559 y[1] (numeric) = -7.999416957986412 absolute error = 5.614708697976312e-11 relative error = 7.018897411431119e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.946 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6599999999999999 y[1] (analytic) = -7.985047992426872 y[1] (numeric) = -7.985047992366155 absolute error = 6.071676494912026e-11 relative error = 7.603807141385357e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.944 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6499999999999999 y[1] (analytic) = -7.970689117819536 y[1] (numeric) = -7.970689117754213 absolute error = 6.532374641210481e-11 relative error = 8.19549545171256e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.943 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6399999999999999 y[1] (analytic) = -7.956340335602894 y[1] (numeric) = -7.956340335532928 absolute error = 6.996625501187737e-11 relative error = 8.793773526604132e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.942 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6299999999999999 y[1] (analytic) = -7.942001647170138 y[1] (numeric) = -7.942001647095491 absolute error = 7.464695528369703e-11 relative error = 9.399010299915378e-10 % Correct digits = 12 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.94 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6199999999999999 y[1] (analytic) = -7.927673053925329 y[1] (numeric) = -7.927673053845966 absolute error = 7.936229451388499e-11 relative error = 1.001079307560361e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.939 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.6099999999999999 y[1] (analytic) = -7.913354557283403 y[1] (numeric) = -7.913354557199289 absolute error = 8.411404905928066e-11 relative error = 1.062937954446419e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.938 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5999999999999999 y[1] (analytic) = -7.899046158670194 y[1] (numeric) = -7.899046158581291 absolute error = 8.890310709830374e-11 relative error = 1.125491677254239e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.936 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5899999999999999 y[1] (analytic) = -7.884747859522434 y[1] (numeric) = -7.884747859428705 absolute error = 9.372858045253452e-11 relative error = 1.188732754964868e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.935 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5799999999999998 y[1] (analytic) = -7.87045966128778 y[1] (numeric) = -7.870459661189191 absolute error = 9.85886927651336e-11 relative error = 1.252642120130025e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.933 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5699999999999998 y[1] (analytic) = -7.856181565424818 y[1] (numeric) = -7.856181565321334 absolute error = 1.034843322145207e-10 relative error = 1.31723447775134e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.932 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5599999999999998 y[1] (analytic) = -7.841913573403087 y[1] (numeric) = -7.841913573294669 absolute error = 1.084181633359549e-10 relative error = 1.382547286719275e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.93 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5499999999999998 y[1] (analytic) = -7.827655686703078 y[1] (numeric) = -7.827655686589689 absolute error = 1.133892979510165e-10 relative error = 1.448572886817596e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.929 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5399999999999998 y[1] (analytic) = -7.813407906816264 y[1] (numeric) = -7.813407906697868 absolute error = 1.183959597028661e-10 relative error = 1.515292188950993e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.927 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5299999999999998 y[1] (analytic) = -7.799170235245104 y[1] (numeric) = -7.799170235121663 absolute error = 1.234417013051825e-10 relative error = 1.582754287723316e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.926 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5199999999999998 y[1] (analytic) = -7.78494267350306 y[1] (numeric) = -7.784942673374539 absolute error = 1.285211936874475e-10 relative error = 1.650894541906957e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.924 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.5099999999999998 y[1] (analytic) = -7.770725223114614 y[1] (numeric) = -7.770725222980976 absolute error = 1.336371013849202e-10 relative error = 1.71975069955384e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.923 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.4999999999999998 y[1] (analytic) = -7.756517885615279 y[1] (numeric) = -7.756517885476487 absolute error = 1.387912007544401e-10 relative error = 1.789349329185884e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.921 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.4899999999999998 y[1] (analytic) = -7.742320662551613 y[1] (numeric) = -7.742320662407631 absolute error = 1.439817154391676e-10 relative error = 1.85967130159804e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.92 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = -0.4799999999999998 y[1] (analytic) = -7.728133555481238 y[1] (numeric) = -7.728133555332031 absolute error = 1.492077572606831e-10 relative error = 1.93070883402185e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.918 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4699999999999998 y[1] (analytic) = -7.713956565972856 y[1] (numeric) = -7.713956565818383 absolute error = 1.544728789326655e-10 relative error = 2.002511650299705e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.916 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4599999999999997 y[1] (analytic) = -7.699789695606253 y[1] (numeric) = -7.699789695446479 absolute error = 1.597744159198555e-10 relative error = 2.075049088821581e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.915 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4499999999999997 y[1] (analytic) = -7.685632945972329 y[1] (numeric) = -7.685632945807216 absolute error = 1.65113256400673e-10 relative error = 2.148336481346028e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.913 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4399999999999997 y[1] (analytic) = -7.671486318673101 y[1] (numeric) = -7.671486318502612 absolute error = 1.704894003751178e-10 relative error = 2.222377689185615e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.912 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4299999999999997 y[1] (analytic) = -7.657349815321726 y[1] (numeric) = -7.657349815145823 absolute error = 1.759028478431901e-10 relative error = 2.297176596153711e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.91 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4199999999999997 y[1] (analytic) = -7.643223437542514 y[1] (numeric) = -7.64322343736116 absolute error = 1.813535988048898e-10 relative error = 2.372737108719138e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.908 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.4099999999999997 y[1] (analytic) = -7.629107186970943 y[1] (numeric) = -7.629107186784101 absolute error = 1.868416532602168e-10 relative error = 2.449063156162056e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.907 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.3999999999999997 y[1] (analytic) = -7.615001065253675 y[1] (numeric) = -7.615001065061309 absolute error = 1.923661230307516e-10 relative error = 2.526147027194716e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.905 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.3899999999999997 y[1] (analytic) = -7.600905074048573 y[1] (numeric) = -7.600905073850644 absolute error = 1.979287844733335e-10 relative error = 2.604016002635171e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.903 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = -0.3799999999999997 y[1] (analytic) = -7.586819215024714 y[1] (numeric) = -7.586819214821185 absolute error = 2.035287494095428e-10 relative error = 2.682662439174515e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.902 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3699999999999997 y[1] (analytic) = -7.57274348986241 y[1] (numeric) = -7.572743489653243 absolute error = 2.091669060177992e-10 relative error = 2.762102087543435e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.9 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3599999999999997 y[1] (analytic) = -7.558677900253222 y[1] (numeric) = -7.558677900038379 absolute error = 2.14842366119683e-10 relative error = 2.84232730848983e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.898 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3499999999999996 y[1] (analytic) = -7.544622447899971 y[1] (numeric) = -7.544622447679416 absolute error = 2.205551297151942e-10 relative error = 2.923342171702512e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.896 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3399999999999996 y[1] (analytic) = -7.530577134516764 y[1] (numeric) = -7.530577134290458 absolute error = 2.263060849827525e-10 relative error = 3.005162565103644e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.895 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3299999999999996 y[1] (analytic) = -7.516541961829004 y[1] (numeric) = -7.51654196159691 absolute error = 2.320943437439382e-10 relative error = 3.087780856177946e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.893 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3199999999999996 y[1] (analytic) = -7.502516931573409 y[1] (numeric) = -7.502516931335489 absolute error = 2.37920794177171e-10 relative error = 3.17121302553695e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.891 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = -0.3099999999999996 y[1] (analytic) = -7.488502045498028 y[1] (numeric) = -7.488502045254243 absolute error = 2.437845481040313e-10 relative error = 3.255451445734608e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.889 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2999999999999996 y[1] (analytic) = -7.474497305362258 y[1] (numeric) = -7.474497305112573 absolute error = 2.496847173460992e-10 relative error = 3.340488425448673e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.888 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2899999999999996 y[1] (analytic) = -7.460502712936862 y[1] (numeric) = -7.460502712681238 absolute error = 2.556248546170536e-10 relative error = 3.426375734356187e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.886 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2799999999999996 y[1] (analytic) = -7.446518270003986 y[1] (numeric) = -7.446518269742383 absolute error = 2.616031835600552e-10 relative error = 3.513093959815332e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.884 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2699999999999996 y[1] (analytic) = -7.432543978357177 y[1] (numeric) = -7.432543978089559 absolute error = 2.676179278182644e-10 relative error = 3.600623536134344e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.882 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2599999999999996 y[1] (analytic) = -7.418579839801396 y[1] (numeric) = -7.418579839527724 absolute error = 2.736717519269405e-10 relative error = 3.689004605149158e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.88 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2499999999999996 y[1] (analytic) = -7.404625856153042 y[1] (numeric) = -7.404625855873279 absolute error = 2.797628795292439e-10 relative error = 3.778217629953154e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.878 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = -0.2399999999999995 y[1] (analytic) = -7.390682029239967 y[1] (numeric) = -7.390682028954075 absolute error = 2.858921988035945e-10 relative error = 3.868278971717509e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.877 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.2299999999999995 y[1] (analytic) = -7.376748360901491 y[1] (numeric) = -7.37674836060943 absolute error = 2.920605979284119e-10 relative error = 3.959205108261548e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.875 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.2199999999999995 y[1] (analytic) = -7.362824852988426 y[1] (numeric) = -7.362824852690158 absolute error = 2.982680769036961e-10 relative error = 4.051000571915477e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.873 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.2099999999999995 y[1] (analytic) = -7.348911507363089 y[1] (numeric) = -7.348911507058576 absolute error = 3.045128593726076e-10 relative error = 4.143645750360544e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.871 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.1999999999999995 y[1] (analytic) = -7.335008325899321 y[1] (numeric) = -7.335008325588523 absolute error = 3.107976098704057e-10 relative error = 4.237181419044945e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.869 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.1899999999999995 y[1] (analytic) = -7.321115310482509 y[1] (numeric) = -7.321115310165388 absolute error = 3.171205520402509e-10 relative error = 4.331587997066401e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.867 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.1799999999999995 y[1] (analytic) = -7.3072324630096 y[1] (numeric) = -7.307232462686119 absolute error = 3.234816858821432e-10 relative error = 4.426870056750762e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.865 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.1699999999999995 y[1] (analytic) = -7.293359785389123 y[1] (numeric) = -7.293359785059242 absolute error = 3.298810113960826e-10 relative error = 4.523032197821055e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.863 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = -0.1599999999999995 y[1] (analytic) = -7.279497279541204 y[1] (numeric) = -7.279497279204885 absolute error = 3.363185285820691e-10 relative error = 4.6200790475914e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.861 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.1499999999999995 y[1] (analytic) = -7.265644947397588 y[1] (numeric) = -7.265644947054794 absolute error = 3.427942374401027e-10 relative error = 4.718015261162534e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.859 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.1399999999999995 y[1] (analytic) = -7.251802790901659 y[1] (numeric) = -7.251802790552349 absolute error = 3.493099143270229e-10 relative error = 4.81687001700154e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.857 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.1299999999999994 y[1] (analytic) = -7.237970812008458 y[1] (numeric) = -7.237970811652593 absolute error = 3.558646710644098e-10 relative error = 4.916635895712616e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.856 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.1199999999999994 y[1] (analytic) = -7.224149012684696 y[1] (numeric) = -7.224149012322239 absolute error = 3.624567312954241e-10 relative error = 5.017293118663468e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.002896 Order of pole (three term test) = -0.8942 Radius of convergence (six term test) for eq 1 = 9.854 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.1099999999999994 y[1] (analytic) = -7.210337394908786 y[1] (numeric) = -7.210337394539697 absolute error = 3.690887595553249e-10 relative error = 5.118883338468159e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01335 Order of pole (three term test) = -0.9202 Radius of convergence (six term test) for eq 1 = 9.852 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.09999999999999942 y[1] (analytic) = -7.196535960670852 y[1] (numeric) = -7.196535960295091 absolute error = 3.757607558441123e-10 relative error = 5.22141149433073e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02389 Order of pole (three term test) = -0.9798 Radius of convergence (six term test) for eq 1 = 9.85 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.08999999999999941 y[1] (analytic) = -7.182744711972753 y[1] (numeric) = -7.18274471159028 absolute error = 3.824727201617861e-10 relative error = 5.324882555330848e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03448 Order of pole (three term test) = -1.073 Radius of convergence (six term test) for eq 1 = 9.848 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.0799999999999994 y[1] (analytic) = -7.168963650828104 y[1] (numeric) = -7.16896365043888 absolute error = 3.892237643299268e-10 relative error = 5.429289131420922e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04511 Order of pole (three term test) = -1.199 Radius of convergence (six term test) for eq 1 = 9.846 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = -0.0699999999999994 y[1] (analytic) = -7.155192779262292 y[1] (numeric) = -7.155192778866278 absolute error = 3.960138883485342e-10 relative error = 5.534636180541368e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05574 Order of pole (three term test) = -1.359 Radius of convergence (six term test) for eq 1 = 9.844 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = -0.05999999999999939 y[1] (analytic) = -7.141432099312498 y[1] (numeric) = -7.141432098909655 absolute error = 4.028430922176085e-10 relative error = 5.640928690708829e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06635 Order of pole (three term test) = -1.551 Radius of convergence (six term test) for eq 1 = 9.842 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = -0.04999999999999938 y[1] (analytic) = -7.127681613027721 y[1] (numeric) = -7.127681612618009 absolute error = 4.097122641155693e-10 relative error = 5.748184141203949e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07692 Order of pole (three term test) = -1.776 Radius of convergence (six term test) for eq 1 = 9.84 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = -0.03999999999999937 y[1] (analytic) = -7.113941322468792 y[1] (numeric) = -7.113941322052173 absolute error = 4.166187395071574e-10 relative error = 5.856370197928142e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08741 Order of pole (three term test) = -2.034 Radius of convergence (six term test) for eq 1 = 9.838 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = -0.02999999999999936 y[1] (analytic) = -7.100211229708398 y[1] (numeric) = -7.100211229284833 absolute error = 4.235651829276321e-10 relative error = 5.965529323344197e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0978 Order of pole (three term test) = -2.322 Radius of convergence (six term test) for eq 1 = 9.836 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = -0.01999999999999935 y[1] (analytic) = -7.086491336831105 y[1] (numeric) = -7.086491336400552 absolute error = 4.30552482555413e-10 relative error = 6.07567923377925e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1081 Order of pole (three term test) = -2.642 Radius of convergence (six term test) for eq 1 = 9.833 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = -0.009999999999999343 y[1] (analytic) = -7.072781645933373 y[1] (numeric) = -7.072781645495793 absolute error = 4.375797502120804e-10 relative error = 6.186812658972372e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1182 Order of pole (three term test) = -2.992 Radius of convergence (six term test) for eq 1 = 9.831 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 6.591949208711867e-16 y[1] (analytic) = -7.059082159123579 y[1] (numeric) = -7.059082158678933 absolute error = 4.446460977192146e-10 relative error = 6.298922263491825e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1281 Order of pole (three term test) = -3.372 Radius of convergence (six term test) for eq 1 = 9.829 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.01000000000000066 y[1] (analytic) = -7.045392878522046 y[1] (numeric) = -7.045392878070293 absolute error = 4.517524132552353e-10 relative error = 6.412025859230751e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1379 Order of pole (three term test) = -3.781 Radius of convergence (six term test) for eq 1 = 9.827 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.02000000000000067 y[1] (analytic) = -7.031713806261048 y[1] (numeric) = -7.031713805802151 absolute error = 4.588969204633031e-10 relative error = 6.52610349492183e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1474 Order of pole (three term test) = -4.217 Radius of convergence (six term test) for eq 1 = 9.825 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.03000000000000068 y[1] (analytic) = -7.018044944484849 y[1] (numeric) = -7.018044944018767 absolute error = 4.660822838786771e-10 relative error = 6.641198333233093e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1566 Order of pole (three term test) = -4.68 Radius of convergence (six term test) for eq 1 = 9.823 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.04000000000000069 y[1] (analytic) = -7.00438629534971 y[1] (numeric) = -7.004386294876403 absolute error = 4.733076153229376e-10 relative error = 6.757303143562653e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1656 Order of pole (three term test) = -5.169 Radius of convergence (six term test) for eq 1 = 9.821 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.0500000000000007 y[1] (analytic) = -6.990737861023923 y[1] (numeric) = -6.99073786054335 absolute error = 4.805738029745044e-10 relative error = 6.874436039919188e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1742 Order of pole (three term test) = -5.682 Radius of convergence (six term test) for eq 1 = 9.819 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.06000000000000071 y[1] (analytic) = -6.977099643687821 y[1] (numeric) = -6.97709964319994 absolute error = 4.878808468333773e-10 relative error = 6.992602539004339e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1826 Order of pole (three term test) = -6.219 Radius of convergence (six term test) for eq 1 = 9.817 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.07000000000000071 y[1] (analytic) = -6.96347164553381 y[1] (numeric) = -6.963471645038582 absolute error = 4.952278587211367e-10 relative error = 7.111795436673646e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1906 Order of pole (three term test) = -6.778 Radius of convergence (six term test) for eq 1 = 9.815 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.08000000000000072 y[1] (analytic) = -6.949853868766385 y[1] (numeric) = -6.949853868263769 absolute error = 5.026157268162024e-10 relative error = 7.23203302266581e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1982 Order of pole (three term test) = -7.357 Radius of convergence (six term test) for eq 1 = 9.813 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.09000000000000073 y[1] (analytic) = -6.936246315602155 y[1] (numeric) = -6.936246315092111 absolute error = 5.100435629401545e-10 relative error = 7.353308111231287e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2054 Order of pole (three term test) = -7.955 Radius of convergence (six term test) for eq 1 = 9.81 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1000000000000007 y[1] (analytic) = -6.922648988269865 y[1] (numeric) = -6.922648987752352 absolute error = 5.175131434498326e-10 relative error = 7.475651940850052e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2122 Order of pole (three term test) = -8.571 Radius of convergence (six term test) for eq 1 = 9.808 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1100000000000007 y[1] (analytic) = -6.909061889010416 y[1] (numeric) = -6.909061888485393 absolute error = 5.250226919883971e-10 relative error = 7.599044565275939e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2186 Order of pole (three term test) = -9.204 Radius of convergence (six term test) for eq 1 = 9.806 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1200000000000008 y[1] (analytic) = -6.895485020076891 y[1] (numeric) = -6.89548501954432 absolute error = 5.325713203774285e-10 relative error = 7.723478752064489e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2245 Order of pole (three term test) = -9.85 Radius of convergence (six term test) for eq 1 = 9.804 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1300000000000008 y[1] (analytic) = -6.88191838373458 y[1] (numeric) = -6.881918383194417 absolute error = 5.401625813306055e-10 relative error = 7.849011732067038e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2299 Order of pole (three term test) = -10.51 Radius of convergence (six term test) for eq 1 = 9.802 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1400000000000008 y[1] (analytic) = -6.868361982260993 y[1] (numeric) = -6.8683619817132 absolute error = 5.477929221342492e-10 relative error = 7.975597726925883e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2349 Order of pole (three term test) = -11.18 Radius of convergence (six term test) for eq 1 = 9.8 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1500000000000008 y[1] (analytic) = -6.854815817945897 y[1] (numeric) = -6.854815817390433 absolute error = 5.554641191451992e-10 relative error = 8.103268328391771e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2393 Order of pole (three term test) = -11.86 Radius of convergence (six term test) for eq 1 = 9.798 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1600000000000008 y[1] (analytic) = -6.841279893091326 y[1] (numeric) = -6.84127989252815 absolute error = 5.631761723634554e-10 relative error = 8.232029403331084e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2432 Order of pole (three term test) = -12.54 Radius of convergence (six term test) for eq 1 = 9.795 Order of pole (six term test) = -1.352 TOP MAIN SOLVE Loop x[1] = 0.1700000000000008 y[1] (analytic) = -6.827754210011618 y[1] (numeric) = -6.827754209440687 absolute error = 5.709308581458572e-10 relative error = 8.361912871859014e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2466 Order of pole (three term test) = -13.24 Radius of convergence (six term test) for eq 1 = 9.793 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.1800000000000008 y[1] (analytic) = -6.814238771033422 y[1] (numeric) = -6.814238770454695 absolute error = 5.787264001355652e-10 relative error = 8.49289876069015e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2494 Order of pole (three term test) = -13.93 Radius of convergence (six term test) for eq 1 = 9.791 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.1900000000000008 y[1] (analytic) = -6.800733578495739 y[1] (numeric) = -6.800733577909174 absolute error = 5.865645746894188e-10 relative error = 8.625019167699283e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2516 Order of pole (three term test) = -14.63 Radius of convergence (six term test) for eq 1 = 9.789 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2000000000000008 y[1] (analytic) = -6.787238634749933 y[1] (numeric) = -6.787238634155489 absolute error = 5.944436054505786e-10 relative error = 8.758254091834802e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2533 Order of pole (three term test) = -15.32 Radius of convergence (six term test) for eq 1 = 9.787 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2100000000000008 y[1] (analytic) = -6.773753942159764 y[1] (numeric) = -6.773753941557401 absolute error = 6.023626042406249e-10 relative error = 8.892596474334966e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2544 Order of pole (three term test) = -16.01 Radius of convergence (six term test) for eq 1 = 9.784 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2200000000000008 y[1] (analytic) = -6.760279503101405 y[1] (numeric) = -6.76027950249108 absolute error = 6.103242355948169e-10 relative error = 9.028091742579862e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.255 Order of pole (three term test) = -16.7 Radius of convergence (six term test) for eq 1 = 9.782 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2300000000000008 y[1] (analytic) = -6.746815319963471 y[1] (numeric) = -6.746815319345144 absolute error = 6.18326723156315e-10 relative error = 9.164719854220981e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2549 Order of pole (three term test) = -17.38 Radius of convergence (six term test) for eq 1 = 9.78 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2400000000000009 y[1] (analytic) = -6.733361395147043 y[1] (numeric) = -6.733361394520671 absolute error = 6.263718432819587e-10 relative error = 9.30251335883153e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2542 Order of pole (three term test) = -18.06 Radius of convergence (six term test) for eq 1 = 9.778 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2500000000000008 y[1] (analytic) = -6.719917731065689 y[1] (numeric) = -6.719917730431233 absolute error = 6.34456931436489e-10 relative error = 9.441438970352878e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.253 Order of pole (three term test) = -18.72 Radius of convergence (six term test) for eq 1 = 9.775 Order of pole (six term test) = -1.351 TOP MAIN SOLVE Loop x[1] = 0.2600000000000008 y[1] (analytic) = -6.706484330145498 y[1] (numeric) = -6.706484329502912 absolute error = 6.425864285120042e-10 relative error = 9.581569073733498e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2511 Order of pole (three term test) = -19.36 Radius of convergence (six term test) for eq 1 = 9.773 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.2700000000000009 y[1] (analytic) = -6.693061194825092 y[1] (numeric) = -6.693061194174337 absolute error = 6.507550054379863e-10 relative error = 9.722830652454422e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2487 Order of pole (three term test) = -20 Radius of convergence (six term test) for eq 1 = 9.771 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.2800000000000009 y[1] (analytic) = -6.679648327555661 y[1] (numeric) = -6.679648326896695 absolute error = 6.589662149281139e-10 relative error = 9.865283060032815e-09 % Correct digits = 11 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2457 Order of pole (three term test) = -20.61 Radius of convergence (six term test) for eq 1 = 9.769 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.2900000000000009 y[1] (analytic) = -6.666245730800987 y[1] (numeric) = -6.666245730133768 absolute error = 6.672191688039675e-10 relative error = 1.000891949903859e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.242 Order of pole (three term test) = -21.21 Radius of convergence (six term test) for eq 1 = 9.766 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.3000000000000009 y[1] (analytic) = -6.652853407037464 y[1] (numeric) = -6.652853406361951 absolute error = 6.755129788871272e-10 relative error = 1.015373310604683e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2379 Order of pole (three term test) = -21.78 Radius of convergence (six term test) for eq 1 = 9.764 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.3100000000000009 y[1] (analytic) = -6.639471358754133 y[1] (numeric) = -6.63947135807028 absolute error = 6.838529742481114e-10 relative error = 1.029981059179437e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2331 Order of pole (three term test) = -22.34 Radius of convergence (six term test) for eq 1 = 9.762 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.3200000000000009 y[1] (analytic) = -6.626099588452694 y[1] (numeric) = -6.626099587760461 absolute error = 6.922329376379821e-10 relative error = 1.044706510062627e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2278 Order of pole (three term test) = -22.86 Radius of convergence (six term test) for eq 1 = 9.759 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.3300000000000009 y[1] (analytic) = -6.612738098647551 y[1] (numeric) = -6.612738097946895 absolute error = 7.006555335919984e-10 relative error = 1.059554337612883e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2219 Order of pole (three term test) = -23.36 Radius of convergence (six term test) for eq 1 = 9.757 Order of pole (six term test) = -1.35 TOP MAIN SOLVE Loop x[1] = 0.3400000000000009 y[1] (analytic) = -6.599386891865819 y[1] (numeric) = -6.599386891156698 absolute error = 7.091207621101603e-10 relative error = 1.074525215341138e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2156 Order of pole (three term test) = -23.84 Radius of convergence (six term test) for eq 1 = 9.755 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = 0.3500000000000009 y[1] (analytic) = -6.586045970647364 y[1] (numeric) = -6.586045969929733 absolute error = 7.176303995493072e-10 relative error = 1.089622518196254e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2087 Order of pole (three term test) = -24.28 Radius of convergence (six term test) for eq 1 = 9.752 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = 0.3600000000000009 y[1] (analytic) = -6.572715337544819 y[1] (numeric) = -6.57271533681864 absolute error = 7.261791168389209e-10 relative error = 1.104838836836312e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2013 Order of pole (three term test) = -24.69 Radius of convergence (six term test) for eq 1 = 9.75 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = 0.3700000000000009 y[1] (analytic) = -6.559394995123625 y[1] (numeric) = -6.559394994388851 absolute error = 7.34774019406359e-10 relative error = 1.120185657294009e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1935 Order of pole (three term test) = -25.06 Radius of convergence (six term test) for eq 1 = 9.748 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = 0.3800000000000009 y[1] (analytic) = -6.546084945962039 y[1] (numeric) = -6.546084945218631 absolute error = 7.434080018242639e-10 relative error = 1.135652848933523e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1852 Order of pole (three term test) = -25.41 Radius of convergence (six term test) for eq 1 = 9.745 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = 0.390000000000001 y[1] (analytic) = -6.532785192651178 y[1] (numeric) = -6.532785191899092 absolute error = 7.520863931631538e-10 relative error = 1.151249231352634e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1765 Order of pole (three term test) = -25.71 Radius of convergence (six term test) for eq 1 = 9.743 Order of pole (six term test) = -1.349 TOP MAIN SOLVE Loop x[1] = 0.400000000000001 y[1] (analytic) = -6.519495737795036 y[1] (numeric) = -6.519495737034227 absolute error = 7.608083052446091e-10 relative error = 1.16697415849822e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1674 Order of pole (three term test) = -25.98 Radius of convergence (six term test) for eq 1 = 9.74 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.410000000000001 y[1] (analytic) = -6.506216584010515 y[1] (numeric) = -6.50621658324094 absolute error = 7.695746262470493e-10 relative error = 1.182829708033903e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1579 Order of pole (three term test) = -26.21 Radius of convergence (six term test) for eq 1 = 9.738 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.420000000000001 y[1] (analytic) = -6.49294773392745 y[1] (numeric) = -6.492947733149067 absolute error = 7.783835798136352e-10 relative error = 1.198813869617902e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.148 Order of pole (three term test) = -26.41 Radius of convergence (six term test) for eq 1 = 9.736 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.430000000000001 y[1] (analytic) = -6.479689190188645 y[1] (numeric) = -6.479689189401411 absolute error = 7.872342777659469e-10 relative error = 1.214925985891351e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1379 Order of pole (three term test) = -26.56 Radius of convergence (six term test) for eq 1 = 9.733 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.440000000000001 y[1] (analytic) = -6.466440955449885 y[1] (numeric) = -6.466440954653756 absolute error = 7.96128496460824e-10 relative error = 1.231169513408842e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1275 Order of pole (three term test) = -26.67 Radius of convergence (six term test) for eq 1 = 9.731 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.450000000000001 y[1] (analytic) = -6.453203032379984 y[1] (numeric) = -6.453203031574916 absolute error = 8.050680122551057e-10 relative error = 1.247547935832094e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1168 Order of pole (three term test) = -26.74 Radius of convergence (six term test) for eq 1 = 9.728 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.460000000000001 y[1] (analytic) = -6.439975423660793 y[1] (numeric) = -6.439975422846744 absolute error = 8.140492724351134e-10 relative error = 1.264056489166489e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1059 Order of pole (three term test) = -26.77 Radius of convergence (six term test) for eq 1 = 9.726 Order of pole (six term test) = -1.348 TOP MAIN SOLVE Loop x[1] = 0.470000000000001 y[1] (analytic) = -6.426758131987246 y[1] (numeric) = -6.426758131164172 absolute error = 8.230731651792667e-10 relative error = 1.280697278901269e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09487 Order of pole (three term test) = -26.76 Radius of convergence (six term test) for eq 1 = 9.723 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.480000000000001 y[1] (analytic) = -6.413551160067375 y[1] (numeric) = -6.413551159235232 absolute error = 8.321432432012443e-10 relative error = 1.297476581121562e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08366 Order of pole (three term test) = -26.7 Radius of convergence (six term test) for eq 1 = 9.721 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.490000000000001 y[1] (analytic) = -6.400354510622349 y[1] (numeric) = -6.400354509781094 absolute error = 8.412550656089479e-10 relative error = 1.314388233046715e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07234 Order of pole (three term test) = -26.61 Radius of convergence (six term test) for eq 1 = 9.718 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.500000000000001 y[1] (analytic) = -6.387168186386496 y[1] (numeric) = -6.387168185536084 absolute error = 8.504112969376365e-10 relative error = 1.331437144163808e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06095 Order of pole (three term test) = -26.47 Radius of convergence (six term test) for eq 1 = 9.716 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.510000000000001 y[1] (analytic) = -6.373992190107334 y[1] (numeric) = -6.373992189247723 absolute error = 8.596110490088904e-10 relative error = 1.348622689470875e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04952 Order of pole (three term test) = -26.29 Radius of convergence (six term test) for eq 1 = 9.713 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.520000000000001 y[1] (analytic) = -6.360826524545602 y[1] (numeric) = -6.360826523676746 absolute error = 8.68856098179549e-10 relative error = 1.365948426398278e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0381 Order of pole (three term test) = -26.07 Radius of convergence (six term test) for eq 1 = 9.711 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.530000000000001 y[1] (analytic) = -6.347671192475289 y[1] (numeric) = -6.347671191597143 absolute error = 8.781464444496123e-10 relative error = 1.383415142061221e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02671 Order of pole (three term test) = -25.81 Radius of convergence (six term test) for eq 1 = 9.708 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.540000000000001 y[1] (analytic) = -6.334526196683661 y[1] (numeric) = -6.33452619579618 absolute error = 8.874803114622409e-10 relative error = 1.401020824457032e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01539 Order of pole (three term test) = -25.51 Radius of convergence (six term test) for eq 1 = 9.705 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.550000000000001 y[1] (analytic) = -6.321391539971294 y[1] (numeric) = -6.321391539074434 absolute error = 8.968594755742743e-10 relative error = 1.418769063588722e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.00419 Order of pole (three term test) = -25.17 Radius of convergence (six term test) for eq 1 = 9.703 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.5600000000000011 y[1] (analytic) = -6.308267225152102 y[1] (numeric) = -6.30826722424582 absolute error = 9.062821604288729e-10 relative error = 1.43665784609659e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.7 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.5700000000000011 y[1] (analytic) = -6.29515325505337 y[1] (numeric) = -6.295153254137621 absolute error = 9.157483660260368e-10 relative error = 1.454687962188894e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.698 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.5800000000000011 y[1] (analytic) = -6.282049632515778 y[1] (numeric) = -6.282049631590518 absolute error = 9.252598687226055e-10 relative error = 1.472863034913759e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.695 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.5900000000000011 y[1] (analytic) = -6.268956360393443 y[1] (numeric) = -6.268956359458626 absolute error = 9.348175566969985e-10 relative error = 1.491185299363496e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.692 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6000000000000011 y[1] (analytic) = -6.255873441553935 y[1] (numeric) = -6.255873440609516 absolute error = 9.444187654139569e-10 relative error = 1.509651328846843e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.69 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6100000000000011 y[1] (analytic) = -6.24280087887832 y[1] (numeric) = -6.242800877924256 absolute error = 9.540643830519002e-10 relative error = 1.52826335736552e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.687 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6200000000000011 y[1] (analytic) = -6.229738675261189 y[1] (numeric) = -6.22973867429743 absolute error = 9.637588505029271e-10 relative error = 1.547029339015606e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.684 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6300000000000011 y[1] (analytic) = -6.21668683361068 y[1] (numeric) = -6.216686832637183 absolute error = 9.734968386965193e-10 relative error = 1.565941577486714e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.682 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6400000000000011 y[1] (analytic) = -6.203645356848523 y[1] (numeric) = -6.203645355865243 absolute error = 9.832801239895161e-10 relative error = 1.585003763801589e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.679 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6500000000000011 y[1] (analytic) = -6.190614247910064 y[1] (numeric) = -6.190614246916955 absolute error = 9.931087063819177e-10 relative error = 1.604216749116921e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.676 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6600000000000011 y[1] (analytic) = -6.177593509744297 y[1] (numeric) = -6.177593508741314 absolute error = 1.002983474052144e-09 relative error = 1.623582827957321e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.673 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6700000000000012 y[1] (analytic) = -6.164583145313899 y[1] (numeric) = -6.164583144300996 absolute error = 1.012903538821774e-09 relative error = 1.643101431102845e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.671 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6800000000000012 y[1] (analytic) = -6.151583157595258 y[1] (numeric) = -6.15158315657239 absolute error = 1.02286801251239e-09 relative error = 1.662771982931698e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.668 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.6900000000000012 y[1] (analytic) = -6.138593549578513 y[1] (numeric) = -6.138593548545632 absolute error = 1.03288044783767e-09 relative error = 1.682601135741572e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.665 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7000000000000012 y[1] (analytic) = -6.125614324267577 y[1] (numeric) = -6.12561432322464 absolute error = 1.042937292083934e-09 relative error = 1.702583997089362e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.662 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7100000000000012 y[1] (analytic) = -6.112645484680178 y[1] (numeric) = -6.112645483627138 absolute error = 1.053040321608023e-09 relative error = 1.722724349460812e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.659 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7200000000000012 y[1] (analytic) = -6.09968703384789 y[1] (numeric) = -6.0996870327847 absolute error = 1.063190424588356e-09 relative error = 1.743024549765563e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.656 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7300000000000012 y[1] (analytic) = -6.086738974816161 y[1] (numeric) = -6.086738973742774 absolute error = 1.073386712846514e-09 relative error = 1.763484054906319e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.654 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7400000000000012 y[1] (analytic) = -6.073801310644353 y[1] (numeric) = -6.073801309560724 absolute error = 1.083629186382495e-09 relative error = 1.784103777783169e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.651 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7500000000000012 y[1] (analytic) = -6.060874044405777 y[1] (numeric) = -6.060874043311858 absolute error = 1.093918733374721e-09 relative error = 1.804886102829368e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.648 Order of pole (six term test) = -1.346 TOP MAIN SOLVE Loop x[1] = 0.7600000000000012 y[1] (analytic) = -6.047957179187717 y[1] (numeric) = -6.047957178083462 absolute error = 1.104255353823191e-09 relative error = 1.825831964589902e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.645 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.7700000000000012 y[1] (analytic) = -6.035050718091477 y[1] (numeric) = -6.035050716976838 absolute error = 1.114639047727906e-09 relative error = 1.84694230387578e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.642 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.7800000000000012 y[1] (analytic) = -6.022154664232405 y[1] (numeric) = -6.022154663107335 absolute error = 1.125069815088864e-09 relative error = 1.868218067813885e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.639 Order of pole (six term test) = -1.347 TOP MAIN SOLVE Loop x[1] = 0.7900000000000013 y[1] (analytic) = -6.009269020739931 y[1] (numeric) = -6.009269019604384 absolute error = 1.135547655906066e-09 relative error = 1.889660209897283e-08 % Correct digits = 10 h = 0.001 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 9.636 Order of pole (six term test) = -1.347 Finished! diff ( y , x , 1 ) = arccos(0.1 * x + 0.2) ; Iterations = 1600 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Time to Timeout = 3 Minutes 0 Seconds Percent Done = 100.1 %