##############ECHO OF PROBLEM################# ##############temp/mtest5postode.ode################# diff ( y1 , x , 1 ) = m1 * y2 ; diff ( y2 , x , 2 ) = diff ( y1, x , 1) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.5 x_end=5.0 $array_y1_init[0 + 1] = exact_soln_y1(x_start) $array_y2_init[0 + 1] = exact_soln_y2(x_start) $array_y2_init[1 + 1] = exact_soln_y2p(x_start) $glob_max_iter=20 #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 def exact_soln_y1 (x) return( - cos(x)) end def exact_soln_y2 (x) return( - sin(x)) end def exact_soln_y2p (x) return( - cos(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 4.5 estimated_steps 4500000.0 step_error 2.2222222222222222e-17 est_needed_step_err 2.2222222222222222e-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 2.1760504191201355e-183 estimated_step_error 2.1760504191201355e-183 best_h 2.0e-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 1.4603227015650947e-175 estimated_step_error 1.4603227015650947e-175 best_h 4.0e-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 9.800059559255629e-168 estimated_step_error 9.800059559255629e-168 best_h 8.0e-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 6.576708375401056e-160 estimated_step_error 6.576708375401056e-160 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 4.4135539221189065e-152 estimated_step_error 4.4135539221189065e-152 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 2.961885419727831e-144 estimated_step_error 2.961885419727831e-144 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 1.9876870146750678e-136 estimated_step_error 1.9876870146750678e-136 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 1.3339133117490704e-128 estimated_step_error 1.3339133117490704e-128 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 8.951729110475025e-121 estimated_step_error 8.951729110475025e-121 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 6.00738815552068e-113 estimated_step_error 6.00738815552068e-113 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 4.03146906394583e-105 estimated_step_error 4.03146906394583e-105 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.705445060834664e-97 estimated_step_error 2.705445060834664e-97 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.8155558208048953e-89 estimated_step_error 1.8155558208048953e-89 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.2183483761748805e-81 estimated_step_error 1.2183483761748805e-81 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.17551933611488e-74 estimated_step_error 8.17551933611488e-74 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.485587141141666e-66 estimated_step_error 5.485587141141666e-66 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.680090513956989e-58 estimated_step_error 3.680090513956989e-58 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.4680179083383414e-50 estimated_step_error 2.4680179083383414e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.5 y1[1] (analytic) -0.8775825618903728 y1[1] (numeric) -0.8775825618903728 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.479425538604203 y2[1] (numeric) -0.479425538604203 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.51 y1[1] (analytic) -0.8727445076457513 y1[1] (numeric) -0.8727445076457513 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.4881772468829075 y2[1] (numeric) -0.4881772468829075 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.52 y1[1] (analytic) -0.8678191796776499 y1[1] (numeric) -0.8678191796776499 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.49688013784373675 y2[1] (numeric) -0.4968801378437367 absolute error 5.551115123125783e-17 relative error 1.1171940072339028e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.53 y1[1] (analytic) -0.862807070514761 y1[1] (numeric) -0.862807070514761 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.5055333412048469 y2[1] (numeric) -0.5055333412048469 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.54 y1[1] (analytic) -0.8577086813638242 y1[1] (numeric) -0.8577086813638242 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.5141359916531132 y2[1] (numeric) -0.5141359916531131 absolute error 1.1102230246251565e-16 relative error 2.1593956514412287e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.55 y1[1] (analytic) -0.8525245220595057 y1[1] (numeric) -0.8525245220595058 absolute error 1.1102230246251565e-16 relative error 1.302276938548477e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5226872289306592 y2[1] (numeric) -0.5226872289306591 absolute error 1.1102230246251565e-16 relative error 2.1240676319880795e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.56 y1[1] (analytic) -0.8472551110134161 y1[1] (numeric) -0.8472551110134162 absolute error 1.1102230246251565e-16 relative error 1.3103763083791848e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5311861979208834 y2[1] (numeric) -0.5311861979208834 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5700000000000001 y1[1] (analytic) -0.8419009751622687 y1[1] (numeric) -0.8419009751622688 absolute error 1.1102230246251565e-16 relative error 1.3187097501712375e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5396320487339693 y2[1] (numeric) -0.5396320487339692 absolute error 1.1102230246251565e-16 relative error 2.057370438301155e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5800000000000001 y1[1] (analytic) -0.8364626499151869 y1[1] (numeric) -0.836462649915187 absolute error 1.1102230246251565e-16 relative error 1.3272834414516027e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5480239367918737 y2[1] (numeric) -0.5480239367918736 absolute error 1.1102230246251565e-16 relative error 2.0258659341130067e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.5900000000000001 y1[1] (analytic) -0.8309406791001634 y1[1] (numeric) -0.8309406791001636 absolute error 1.1102230246251565e-16 relative error 1.3361038309346361e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5563610229127839 y2[1] (numeric) -0.5563610229127838 absolute error 1.1102230246251565e-16 relative error 1.9955082741286802e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6000000000000001 y1[1] (analytic) -0.8253356149096782 y1[1] (numeric) -0.8253356149096783 absolute error 1.1102230246251565e-16 relative error 1.3451776520593448e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5646424733950355 y2[1] (numeric) -0.5646424733950354 absolute error 1.1102230246251565e-16 relative error 1.9662407221151813e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6100000000000001 y1[1] (analytic) -0.8196480178454795 y1[1] (numeric) -0.8196480178454796 absolute error 1.1102230246251565e-16 relative error 1.3545119373843914e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5728674601004814 y2[1] (numeric) -0.5728674601004813 absolute error 1.1102230246251565e-16 relative error 1.9380102762869837e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6200000000000001 y1[1] (analytic) -0.8138784566625339 y1[1] (numeric) -0.813878456662534 absolute error 1.1102230246251565e-16 relative error 1.3641140339035891e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5810351605373052 y2[1] (numeric) -0.5810351605373051 absolute error 1.1102230246251565e-16 relative error 1.9107673683611354e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6300000000000001 y1[1] (analytic) -0.8080275083121518 y1[1] (numeric) -0.808027508312152 absolute error 2.220446049250313e-16 relative error 2.747983238699994e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5891447579422696 y2[1] (numeric) -0.5891447579422695 absolute error 1.1102230246251565e-16 relative error 1.8844655912799407e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.582294584819381 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.853179855578414 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6400000000000001 y1[1] (analytic) -0.8020957578842925 y1[1] (numeric) -0.8020957578842928 absolute error 2.220446049250313e-16 relative error 2.7683054391251707e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.5971954413623921 y2[1] (numeric) -0.597195441362392 absolute error 1.1102230246251565e-16 relative error 1.8590614524658557e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.890876444419279 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.146332622198317 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6500000000000001 y1[1] (analytic) -0.7960837985490558 y1[1] (numeric) -0.796083798549056 absolute error 2.220446049250313e-16 relative error 2.7892114539917825e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6051864057360397 y2[1] (numeric) -0.6051864057360395 absolute error 1.1102230246251565e-16 relative error 1.8345141498591353e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.204087982673526 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.44388358353985 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6600000000000001 y1[1] (analytic) -0.789992231497365 y1[1] (numeric) -0.7899922314973652 absolute error 2.220446049250313e-16 relative error 2.8107188409202975e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6131168519734339 y2[1] (numeric) -0.6131168519734338 absolute error 1.1102230246251565e-16 relative error 1.8107853683220275e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.52209825687328 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.745993344029618 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6700000000000002 y1[1] (analytic) -0.7838216658808492 y1[1] (numeric) -0.7838216658808493 absolute error 1.1102230246251565e-16 relative error 1.4164229861871724e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6209859870365598 y2[1] (numeric) -0.6209859870365597 absolute error 1.1102230246251565e-16 relative error 1.7878390942818384e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.845083494565142 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.052829319836889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6800000000000002 y1[1] (analytic) -0.7775727187509278 y1[1] (numeric) -0.777572718750928 absolute error 2.220446049250313e-16 relative error 2.85561208065167e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6287930240184686 y2[1] (numeric) -0.6287930240184686 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.173227502851322 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.364566127708757 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.6900000000000002 y1[1] (analytic) -0.7712460149971065 y1[1] (numeric) -0.7712460149971067 absolute error 1.1102230246251565e-16 relative error 1.4395186529804262e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6365371822219681 y2[1] (numeric) -0.636537182221968 absolute error 1.1102230246251565e-16 relative error 1.7441605229559215e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.506722105380494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.681386000111472 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7000000000000002 y1[1] (analytic) -0.7648421872844883 y1[1] (numeric) -0.7648421872844885 absolute error 2.220446049250313e-16 relative error 2.903142747831198e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6442176872376912 y2[1] (numeric) -0.6442176872376911 absolute error 1.1102230246251565e-16 relative error 1.723366257430196e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.8457676092616 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.003479228798522 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7100000000000002 y1[1] (analytic) -0.7583618759905081 y1[1] (numeric) -0.7583618759905082 absolute error 1.1102230246251565e-16 relative error 1.463975260063116e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6518337710215368 y2[1] (numeric) -0.6518337710215367 absolute error 1.1102230246251565e-16 relative error 1.703230292725159e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190573304338823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.33104463912188 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7200000000000002 y1[1] (analytic) -0.7518057291408948 y1[1] (numeric) -0.751805729140895 absolute error 2.220446049250313e-16 relative error 2.9534838099566844e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6593846719714733 y2[1] (numeric) -0.6593846719714732 absolute error 1.1102230246251565e-16 relative error 1.6837258611209993e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.541357997496696 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.664290097621862 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7300000000000002 y1[1] (analytic) -0.7451744023448702 y1[1] (numeric) -0.7451744023448704 absolute error 2.220446049250313e-16 relative error 2.9797669408170037e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.666869635003698 y2[1] (numeric) -0.6668696350036979 absolute error 1.1102230246251565e-16 relative error 1.6648276759804787e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.898350584916315 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.003433055670502 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7400000000000002 y1[1] (analytic) -0.7384685587295877 y1[1] (numeric) -0.7384685587295879 absolute error 2.220446049250313e-16 relative error 3.0068254403006964e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6742879116281453 y2[1] (numeric) -0.674287911628145 absolute error 2.220446049250313e-16 relative error 3.293023663866066e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.261790665486032 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.34870113221173 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7500000000000002 y1[1] (analytic) -0.7316888688738208 y1[1] (numeric) -0.7316888688738209 absolute error 1.1102230246251565e-16 relative error 1.5173430563922022e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6816387600233343 y2[1] (numeric) -0.6816387600233341 absolute error 2.220446049250313e-16 relative error 3.257511426102443e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.63192919888147 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.700332738937398 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7600000000000002 y1[1] (analytic) -0.724836010740905 y1[1] (numeric) -0.7248360107409052 absolute error 2.220446049250313e-16 relative error 3.0633771175091617e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6889214451105515 y2[1] (numeric) -0.6889214451105513 absolute error 2.220446049250313e-16 relative error 3.223075816567152e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.00902921217609 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.058577751567288 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7700000000000002 y1[1] (analytic) -0.7179106696109432 y1[1] (numeric) -0.7179106696109434 absolute error 2.220446049250313e-16 relative error 3.0929280525300423e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.6961352386273569 y2[1] (numeric) -0.6961352386273567 absolute error 2.220446049250313e-16 relative error 3.189676266968757e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.393366559229793 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.42369823126831 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7800000000000002 y1[1] (analytic) -0.7109135380122772 y1[1] (numeric) -0.7109135380122774 absolute error 2.220446049250313e-16 relative error 3.123370045053168e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7032794192004104 y2[1] (numeric) -0.7032794192004101 absolute error 2.220446049250313e-16 relative error 3.157274318897085e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.20624555968151 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.195390530224586 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.7900000000000003 y1[1] (analytic) -0.703845315652236 y1[1] (numeric) -0.7038453156522362 absolute error 2.220446049250313e-16 relative error 3.154735848732162e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.710353272417608 y2[1] (numeric) -0.7103532724176078 absolute error 2.220446049250313e-16 relative error 3.125833490839386e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.82593002194353 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.83509159973598 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8000000000000003 y1[1] (analytic) -0.6967067093471653 y1[1] (numeric) -0.6967067093471655 absolute error 2.220446049250313e-16 relative error 3.187059948555593e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7173560908995229 y2[1] (numeric) -0.7173560908995228 absolute error 1.1102230246251565e-16 relative error 1.5476595775927703e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.453077412359004 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.48186281170853 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8100000000000003 y1[1] (analytic) -0.6894984329517468 y1[1] (numeric) -0.6894984329517471 absolute error 2.220446049250313e-16 relative error 3.220378674023334e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7242871743701427 y2[1] (numeric) -0.7242871743701426 absolute error 1.1102230246251565e-16 relative error 1.532849212179731e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.08739777488905 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.13542947094752 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8200000000000003 y1[1] (analytic) -0.6822212072876134 y1[1] (numeric) -0.6822212072876136 absolute error 2.220446049250313e-16 relative error 3.254730321384174e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7311458297268961 y2[1] (numeric) -0.7311458297268959 absolute error 2.220446049250313e-16 relative error 3.036940045298095e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.728615019669064 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.795530018633848 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8300000000000003 y1[1] (analytic) -0.6748757600712669 y1[1] (numeric) -0.6748757600712672 absolute error 2.220446049250313e-16 relative error 3.2901552857904304e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7379313711099629 y2[1] (numeric) -0.7379313711099628 absolute error 1.1102230246251565e-16 relative error 1.5045071507872195e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.376466082566502 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.461915236115633 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8400000000000003 y1[1] (analytic) -0.6674628258413079 y1[1] (numeric) -0.6674628258413081 absolute error 2.220446049250313e-16 relative error 3.3266962043190006e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7446431199708595 y2[1] (numeric) -0.7446431199708594 absolute error 1.1102230246251565e-16 relative error 1.490946461264026e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.03070014462919 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.134347505438182 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8500000000000003 y1[1] (analytic) -0.659983145884982 y1[1] (numeric) -0.6599831458849822 absolute error 2.220446049250313e-16 relative error 3.364398110913698e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7512804051402929 y2[1] (numeric) -0.7512804051402928 absolute error 1.1102230246251565e-16 relative error 1.4777744994132188e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.691077906488218 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.812600121936207 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8600000000000003 y1[1] (analytic) -0.6524374681640516 y1[1] (numeric) -0.6524374681640519 absolute error 3.3306690738754696e-16 relative error 5.1049629066336706e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7578425628952772 y2[1] (numeric) -0.7578425628952771 absolute error 1.1102230246251565e-16 relative error 1.4649784519671708e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.35737091323805 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.496456654646574 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8700000000000003 y1[1] (analytic) -0.644826547240001 y1[1] (numeric) -0.6448265472400012 absolute error 2.220446049250313e-16 relative error 3.4434780310368875e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7643289370255053 y2[1] (numeric) -0.7643289370255052 absolute error 1.1102230246251565e-16 relative error 1.4525461105080585e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.029360925728206 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.18571035068988 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8800000000000003 y1[1] (analytic) -0.63715114419858 y1[1] (numeric) -0.6371511441985802 absolute error 2.220446049250313e-16 relative error 3.4849596825934125e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7707388788989695 y2[1] (numeric) -0.7707388788989694 absolute error 1.1102230246251565e-16 relative error 1.4404658374197412e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.706839334570407 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.880163580119332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.8900000000000003 y1[1] (analytic) -0.6294120265736967 y1[1] (numeric) -0.6294120265736969 absolute error 2.220446049250313e-16 relative error 3.527810012366081e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7770717475268241 y2[1] (numeric) -0.777071747526824 absolute error 1.1102230246251565e-16 relative error 1.4287265341439174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.389606613496673 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.57962731804948 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9000000000000004 y1[1] (analytic) -0.6216099682706642 y1[1] (numeric) -0.6216099682706645 absolute error 3.3306690738754696e-16 relative error 5.358133305264524e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7833269096274836 y2[1] (numeric) -0.7833269096274835 absolute error 1.1102230246251565e-16 relative error 1.4173176115616027e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.077471809004013 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.283920661161696 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9100000000000004 y1[1] (analytic) -0.6137457494888112 y1[1] (numeric) -0.6137457494888116 absolute error 3.3306690738754696e-16 relative error 5.4267896382982426e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7895037396899507 y2[1] (numeric) -0.7895037396899506 absolute error 1.1102230246251565e-16 relative error 1.4062289623367166e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.770252063488536 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.992870375936507 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9200000000000004 y1[1] (analytic) -0.6058201566434626 y1[1] (numeric) -0.6058201566434629 absolute error 3.3306690738754696e-16 relative error 5.497785171640692e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.7956016200363663 y2[1] (numeric) -0.7956016200363661 absolute error 1.1102230246251565e-16 relative error 1.3954509350727682e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.467772169317168 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.70631047619521 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9300000000000004 y1[1] (analytic) -0.5978339822872979 y1[1] (numeric) -0.5978339822872983 absolute error 4.440892098500626e-16 relative error 7.428303224767993e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8016199408837774 y2[1] (numeric) -0.8016199408837773 absolute error 1.1102230246251565e-16 relative error 1.3849743101464611e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.169864151502585 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.424081827739293 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9400000000000004 y1[1] (analytic) -0.589788025031098 y1[1] (numeric) -0.5897880250310983 absolute error 3.3306690738754696e-16 relative error 5.6472307549815925e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8075581004051146 y2[1] (numeric) -0.8075581004051144 absolute error 1.1102230246251565e-16 relative error 1.3747902770936345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.876366876846813 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.146031778065401 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9500000000000004 y1[1] (analytic) -0.5816830894638831 y1[1] (numeric) -0.5816830894638836 absolute error 4.440892098500626e-16 relative error 7.634555961724176e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.813415504789374 y2[1] (numeric) -0.8134155047893739 absolute error 1.1102230246251565e-16 relative error 1.3648904134334616e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9600000000000004 y1[1] (analytic) -0.5735199860724564 y1[1] (numeric) -0.5735199860724568 absolute error 4.440892098500626e-16 relative error 7.743221171615074e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8191915683009985 y2[1] (numeric) -0.8191915683009984 absolute error 1.1102230246251565e-16 relative error 1.3552666648263442e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9700000000000004 y1[1] (analytic) -0.5652995311603539 y1[1] (numeric) -0.5652995311603545 absolute error 5.551115123125783e-16 relative error 9.81977662661663e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8248857133384503 y2[1] (numeric) -0.8248857133384502 absolute error 1.1102230246251565e-16 relative error 1.3459113264695766e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9800000000000004 y1[1] (analytic) -0.557022546766217 y1[1] (numeric) -0.5570225467662174 absolute error 4.440892098500626e-16 relative error 7.972553578454112e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8304973704919707 y2[1] (numeric) -0.8304973704919706 absolute error 1.1102230246251565e-16 relative error 1.3368170256426962e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 0.9900000000000004 y1[1] (analytic) -0.5486898605815872 y1[1] (numeric) -0.5486898605815878 absolute error 5.551115123125783e-16 relative error 1.0117036092560275e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8360259786005207 y2[1] (numeric) -0.8360259786005206 absolute error 1.1102230246251565e-16 relative error 1.3279767053215647e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0000000000000004 y1[1] (analytic) -0.5403023058681393 y1[1] (numeric) -0.5403023058681399 absolute error 5.551115123125783e-16 relative error 1.0274091120537493e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8414709848078967 y2[1] (numeric) -0.8414709848078966 absolute error 1.1102230246251565e-16 relative error 1.3193836087867183e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0100000000000005 y1[1] (analytic) -0.531860721374355 y1[1] (numeric) -0.5318607213743556 absolute error 5.551115123125783e-16 relative error 1.0437159391619333e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8468318446180154 y2[1] (numeric) -0.8468318446180153 absolute error 1.1102230246251565e-16 relative error 1.3110312651574296e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0200000000000005 y1[1] (analytic) -0.5233659512516492 y1[1] (numeric) -0.5233659512516496 absolute error 4.440892098500626e-16 relative error 8.48525221765013e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8521080219493632 y2[1] (numeric) -0.8521080219493631 absolute error 1.1102230246251565e-16 relative error 1.302913475788322e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0300000000000005 y1[1] (analytic) -0.5148188449699549 y1[1] (numeric) -0.5148188449699554 absolute error 5.551115123125783e-16 relative error 1.0782657195561186e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8572989891886036 y2[1] (numeric) -0.8572989891886035 absolute error 1.1102230246251565e-16 relative error 1.2950243014702894e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0400000000000005 y1[1] (analytic) -0.506220257232778 y1[1] (numeric) -0.5062202572327785 absolute error 5.551115123125783e-16 relative error 1.0965809929200806e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8624042272433387 y2[1] (numeric) -0.8624042272433385 absolute error 1.1102230246251565e-16 relative error 1.2873580503819731e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0500000000000005 y1[1] (analytic) -0.49757104789172657 y1[1] (numeric) -0.4975710478917271 absolute error 5.551115123125783e-16 relative error 1.1156427100504704e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8674232255940172 y2[1] (numeric) -0.8674232255940171 absolute error 1.1102230246251565e-16 relative error 1.2799092667421585e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0600000000000005 y1[1] (analytic) -0.4888720818605271 y1[1] (numeric) -0.4888720818605277 absolute error 6.106226635438361e-16 relative error 1.249043842348199e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8723554823449865 y2[1] (numeric) -0.8723554823449864 absolute error 1.1102230246251565e-16 relative error 1.272672720117212e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0700000000000005 y1[1] (analytic) -0.4801242290285337 y1[1] (numeric) -0.4801242290285343 absolute error 6.106226635438361e-16 relative error 1.2718013935254805e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8772005042746819 y2[1] (numeric) -0.8772005042746818 absolute error 1.1102230246251565e-16 relative error 1.2656433953411263e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0800000000000005 y1[1] (analytic) -0.4713283641737396 y1[1] (numeric) -0.4713283641737402 absolute error 6.106226635438361e-16 relative error 1.295535575530842e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8819578068849477 y2[1] (numeric) -0.8819578068849476 absolute error 1.1102230246251565e-16 relative error 1.2588164830089046e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.0900000000000005 y1[1] (analytic) -0.4624853668753004 y1[1] (numeric) -0.46248536687530106 absolute error 6.661338147750939e-16 relative error 1.4403349002709164e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8866269144494875 y2[1] (numeric) -0.8866269144494874 absolute error 1.1102230246251565e-16 relative error 1.2521873705069075e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1000000000000005 y1[1] (analytic) -0.4535961214255769 y1[1] (numeric) -0.4535961214255776 absolute error 6.661338147750939e-16 relative error 1.4685615315262098e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8912073600614355 y2[1] (numeric) -0.8912073600614355 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1100000000000005 y1[1] (analytic) -0.44466151674170634 y1[1] (numeric) -0.44466151674170706 absolute error 7.216449660063518e-16 relative error 1.6229085244305923e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8956986856800478 y2[1] (numeric) -0.8956986856800478 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1200000000000006 y1[1] (analytic) -0.43568244627671165 y1[1] (numeric) -0.4356824462767124 absolute error 7.216449660063518e-16 relative error 1.6563553849218402e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9001004421765052 y2[1] (numeric) -0.9001004421765052 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1300000000000006 y1[1] (analytic) -0.4266598079301568 y1[1] (numeric) -0.4266598079301575 absolute error 7.216449660063518e-16 relative error 1.6913825783292044e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9044121893788262 y2[1] (numeric) -0.9044121893788262 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1400000000000006 y1[1] (analytic) -0.41759450395835757 y1[1] (numeric) -0.4175945039583583 absolute error 7.216449660063518e-16 relative error 1.7280997694316255e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9086334961158835 y2[1] (numeric) -0.9086334961158835 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1500000000000006 y1[1] (analytic) -0.4084874408841568 y1[1] (numeric) -0.4084874408841575 absolute error 7.216449660063518e-16 relative error 1.7666270582135315e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9127639402605213 y2[1] (numeric) -0.9127639402605213 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1600000000000006 y1[1] (analytic) -0.3993395294062726 y1[1] (numeric) -0.3993395294062734 absolute error 7.771561172376096e-16 relative error 1.9461036536830317e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9168031087717672 y2[1] (numeric) -0.9168031087717672 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1700000000000006 y1[1] (analytic) -0.39015168430822966 y1[1] (numeric) -0.39015168430823044 absolute error 7.771561172376096e-16 relative error 1.9919332620992523e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9207505977361359 y2[1] (numeric) -0.9207505977361359 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1800000000000006 y1[1] (analytic) -0.3809248243668812 y1[1] (numeric) -0.380924824366882 absolute error 8.326672684688674e-16 relative error 2.1859096997755606e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9246060124080205 y2[1] (numeric) -0.9246060124080205 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.1900000000000006 y1[1] (analytic) -0.3716598722605324 y1[1] (numeric) -0.3716598722605332 absolute error 8.326672684688674e-16 relative error 2.240401320175804e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.928368967249167 y2[1] (numeric) -0.9283689672491668 absolute error 1.1102230246251565e-16 relative error 1.1958855409771375e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2000000000000006 y1[1] (analytic) -0.362357754476673 y1[1] (numeric) -0.36235775447667384 absolute error 8.326672684688674e-16 relative error 2.2979148595051545e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9320390859672266 y2[1] (numeric) -0.9320390859672265 absolute error 1.1102230246251565e-16 relative error 1.1911764660309487e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2100000000000006 y1[1] (analytic) -0.35301940121932973 y1[1] (numeric) -0.3530194012193306 absolute error 8.881784197001252e-16 relative error 2.5159478958730175e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9356160015533862 y2[1] (numeric) -0.9356160015533861 absolute error 1.1102230246251565e-16 relative error 1.1866225275987942e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2200000000000006 y1[1] (analytic) -0.34364574631604644 y1[1] (numeric) -0.3436457463160473 absolute error 8.326672684688674e-16 relative error 2.4230396488105353e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9390993563190678 y2[1] (numeric) -0.9390993563190677 absolute error 1.1102230246251565e-16 relative error 1.1822210473839872e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2300000000000006 y1[1] (analytic) -0.334237727124502 y1[1] (numeric) -0.33423772712450284 absolute error 8.326672684688674e-16 relative error 2.491242612353879e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9424888019316977 y2[1] (numeric) -0.9424888019316976 absolute error 1.1102230246251565e-16 relative error 1.1779694595306339e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2400000000000007 y1[1] (analytic) -0.3247962844387756 y1[1] (numeric) -0.32479628443877645 absolute error 8.326672684688674e-16 relative error 2.5636600797563186e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9457839994495392 y2[1] (numeric) -0.9457839994495391 absolute error 1.1102230246251565e-16 relative error 1.1738653067416276e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2500000000000007 y1[1] (analytic) -0.315322362395268 y1[1] (numeric) -0.3153223623952689 absolute error 8.881784197001252e-16 relative error 2.81673146475657e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9489846193555864 y2[1] (numeric) -0.9489846193555863 absolute error 1.1102230246251565e-16 relative error 1.1699062366037713e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2600000000000007 y1[1] (analytic) -0.3058169083782887 y1[1] (numeric) -0.30581690837828956 absolute error 8.881784197001252e-16 relative error 2.9042815991111533e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.952090341590516 y2[1] (numeric) -0.9520903415905159 absolute error 1.1102230246251565e-16 relative error 1.1660899981092885e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2700000000000007 y1[1] (analytic) -0.2962808729253181 y1[1] (numeric) -0.29628087292531896 absolute error 8.881784197001252e-16 relative error 2.99775821142529e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9551008555846925 y2[1] (numeric) -0.9551008555846924 absolute error 1.1102230246251565e-16 relative error 1.1624144383636862e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2800000000000007 y1[1] (analytic) -0.28671520963195485 y1[1] (numeric) -0.28671520963195574 absolute error 8.881784197001252e-16 relative error 3.0977722487769145e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9580158602892251 y2[1] (numeric) -0.9580158602892251 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.2900000000000007 y1[1] (analytic) -0.27712087505655697 y1[1] (numeric) -0.27712087505655786 absolute error 8.881784197001252e-16 relative error 3.205021705848969e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9608350642060729 y2[1] (numeric) -0.9608350642060728 absolute error 1.1102230246251565e-16 relative error 1.1554772155848841e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3000000000000007 y1[1] (analytic) -0.26749882862458674 y1[1] (numeric) -0.2674988286245876 absolute error 8.881784197001252e-16 relative error 3.320307697296921e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9635581854171932 y2[1] (numeric) -0.9635581854171931 absolute error 1.1102230246251565e-16 relative error 1.1522117101256958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3100000000000007 y1[1] (analytic) -0.25785003253266897 y1[1] (numeric) -0.25785003253266986 absolute error 8.881784197001252e-16 relative error 3.4445542278052463e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9661849516127342 y2[1] (numeric) -0.9661849516127341 absolute error 1.1102230246251565e-16 relative error 1.1490791931420555e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3200000000000007 y1[1] (analytic) -0.24817545165237226 y1[1] (numeric) -0.24817545165237315 absolute error 8.881784197001252e-16 relative error 3.5788326918982573e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9687151001182654 y2[1] (numeric) -0.9687151001182653 absolute error 1.1102230246251565e-16 relative error 1.146077958823616e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3300000000000007 y1[1] (analytic) -0.2384760534337225 y1[1] (numeric) -0.23847605343372338 absolute error 8.881784197001252e-16 relative error 3.724392478454734e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9711483779210447 y2[1] (numeric) -0.9711483779210446 absolute error 1.1102230246251565e-16 relative error 1.1432063831500512e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3400000000000007 y1[1] (analytic) -0.22875280780845875 y1[1] (numeric) -0.22875280780845964 absolute error 8.881784197001252e-16 relative error 3.8826995314690185e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9734845416953195 y2[1] (numeric) -0.9734845416953194 absolute error 1.1102230246251565e-16 relative error 1.140462921672806e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3500000000000008 y1[1] (analytic) -0.21900668709304086 y1[1] (numeric) -0.21900668709304175 absolute error 8.881784197001252e-16 relative error 4.0554853894611875e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9757233578266592 y2[1] (numeric) -0.9757233578266591 absolute error 1.1102230246251565e-16 relative error 1.1378461074234032e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3600000000000008 y1[1] (analytic) -0.20923866589141862 y1[1] (numeric) -0.2092386658914195 absolute error 8.881784197001252e-16 relative error 4.24481018322413e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9778646024353164 y2[1] (numeric) -0.9778646024353163 absolute error 1.1102230246251565e-16 relative error 1.1353545489428793e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3700000000000008 y1[1] (analytic) -0.19944972099757222 y1[1] (numeric) -0.19944972099757313 absolute error 9.159339953157541e-16 relative error 4.592305222261521e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9799080613986144 y2[1] (numeric) -0.9799080613986143 absolute error 1.1102230246251565e-16 relative error 1.13298692842729e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3800000000000008 y1[1] (analytic) -0.1896408312978336 y1[1] (numeric) -0.18964083129783452 absolute error 9.159339953157541e-16 relative error 4.829835373782278e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9818535303723599 y2[1] (numeric) -0.9818535303723598 absolute error 1.1102230246251565e-16 relative error 1.1307419999845737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.3900000000000008 y1[1] (analytic) -0.1798129776729987 y1[1] (numeric) -0.17981297767299964 absolute error 9.43689570931383e-16 relative error 5.248172757850339e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9837008148112767 y2[1] (numeric) -0.9837008148112766 absolute error 1.1102230246251565e-16 relative error 1.1286185879983775e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4000000000000008 y1[1] (analytic) -0.16996714290024015 y1[1] (numeric) -0.1699671429002411 absolute error 9.43689570931383e-16 relative error 5.552188233729789e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9854497299884604 y2[1] (numeric) -0.9854497299884603 absolute error 1.1102230246251565e-16 relative error 1.1266155855947693e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4100000000000008 y1[1] (analytic) -0.1601043115548304 y1[1] (numeric) -0.16010431155483135 absolute error 9.43689570931383e-16 relative error 5.894217099882414e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9871001010138505 y2[1] (numeric) -0.9871001010138504 absolute error 1.1102230246251565e-16 relative error 1.1247319532080348e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4200000000000008 y1[1] (analytic) -0.15022546991168498 y1[1] (numeric) -0.15022546991168592 absolute error 9.43689570931383e-16 relative error 6.281821394775215e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.98865176285172 y2[1] (numeric) -0.9886517628517199 absolute error 1.1102230246251565e-16 relative error 1.1229667172420448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4300000000000008 y1[1] (analytic) -0.14033160584673585 y1[1] (numeric) -0.14033160584673682 absolute error 9.71445146547012e-16 relative error 6.922497185758585e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9901045603371779 y2[1] (numeric) -0.9901045603371779 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4400000000000008 y1[1] (analytic) -0.13042370873814466 y1[1] (numeric) -0.13042370873814566 absolute error 9.992007221626409e-16 relative error 7.661189302389524e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9914583481916865 y2[1] (numeric) -0.9914583481916865 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4500000000000008 y1[1] (analytic) -0.12050276936736573 y1[1] (numeric) -0.12050276936736673 absolute error 9.992007221626409e-16 relative error 8.291931607948937e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9927129910375886 y2[1] (numeric) -0.9927129910375886 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4600000000000009 y1[1] (analytic) -0.1105697798200687 y1[1] (numeric) -0.11056977982006971 absolute error 1.0130785099704553e-15 relative error 9.162345367957214e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.993868363411645 y2[1] (numeric) -0.993868363411645 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4700000000000009 y1[1] (analytic) -0.10062573338693084 y1[1] (numeric) -0.10062573338693186 absolute error 1.0130785099704553e-15 relative error 1.0067787591419759e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9949243497775809 y2[1] (numeric) -0.994924349777581 absolute error 1.1102230246251565e-16 relative error 1.1158868760960077e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4800000000000009 y1[1] (analytic) -0.09067162446430879 y1[1] (numeric) -0.0906716244643098 absolute error 1.0130785099704553e-15 relative error 1.1173049076331868e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9958808445376401 y2[1] (numeric) -0.9958808445376403 absolute error 1.1102230246251565e-16 relative error 1.1148151214220837e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.4900000000000009 y1[1] (analytic) -0.08070844845479974 y1[1] (numeric) -0.08070844845480077 absolute error 1.0269562977782698e-15 relative error 1.2724272581617155e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9967377520431434 y2[1] (numeric) -0.9967377520431436 absolute error 2.220446049250313e-16 relative error 2.2277134027468862e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5000000000000009 y1[1] (analytic) -0.07073720166770202 y1[1] (numeric) -0.07073720166770306 absolute error 1.0408340855860843e-15 relative error 1.4714097547646134e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9974949866040544 y2[1] (numeric) -0.9974949866040547 absolute error 2.220446049250313e-16 relative error 2.226022264843419e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.510000000000001 y1[1] (analytic) -0.06075888121938501 y1[1] (numeric) -0.06075888121938605 absolute error 1.0408340855860843e-15 relative error 1.7130567000203553e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9981524724975481 y2[1] (numeric) -0.9981524724975483 absolute error 2.220446049250313e-16 relative error 2.224555977599672e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.520000000000001 y1[1] (analytic) -0.05077448493357829 y1[1] (numeric) -0.05077448493357934 absolute error 1.0477729794899915e-15 relative error 2.0635817002588164e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.998710143975583 y2[1] (numeric) -0.9987101439755832 absolute error 2.220446049250313e-16 relative error 2.2233138039545134e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.530000000000001 y1[1] (analytic) -0.04078501124159015 y1[1] (numeric) -0.0407850112415912 absolute error 1.0547118733938987e-15 relative error 2.5860281541822056e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.999167945271476 y2[1] (numeric) -0.9991679452714762 absolute error 2.220446049250313e-16 relative error 2.2222951204134288e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.540000000000001 y1[1] (analytic) -0.030791459082465233 y1[1] (numeric) -0.030791459082466298 absolute error 1.0651202142497596e-15 relative error 3.459141742511033e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9995258306054791 y2[1] (numeric) -0.9995258306054793 absolute error 2.220446049250313e-16 relative error 2.221499416283461e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.550000000000001 y1[1] (analytic) -0.02079482780309154 y1[1] (numeric) -0.02079482780309261 absolute error 1.0720591081536668e-15 relative error 5.155412289561182e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.999783764189357 y2[1] (numeric) -0.9997837641893572 absolute error 2.220446049250313e-16 relative error 2.2209262930476686e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.560000000000001 y1[1] (analytic) -0.010796117058266504 y1[1] (numeric) -0.010796117058267581 absolute error 1.0772632785815972e-15 relative error 9.978247482568235e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9999417202299663 y2[1] (numeric) -0.9999417202299665 absolute error 2.220446049250313e-16 relative error 2.2205754638776904e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.570000000000001 y1[1] (analytic) -0.0007963267107323752 y1[1] (numeric) -0.0007963267107334582 absolute error 1.0830095500957704e-15 relative error 1.3600065594933207e-10% Correct digits 12 h 0.01 y2[1] (analytic) -0.9999996829318346 y2[1] (numeric) -0.9999996829318348 absolute error 2.220446049250313e-16 relative error 2.2204467532832914e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.580000000000001 y1[1] (analytic) 0.009203543268809225 y1[1] (numeric) 0.009203543268808135 absolute error 1.0894063429134349e-15 relative error 1.1836814486497055e-11% Correct digits 13 h 0.01 y2[1] (analytic) -0.9999576464987401 y2[1] (numeric) -0.9999576464987403 absolute error 2.220446049250313e-16 relative error 2.2205400968981048e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008874468381577306 Order of pole (three term test) -0.8949050896709199 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.008862294818607465 Order of pole (three term test) -0.8908526830463788 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.590000000000001 y1[1] (analytic) 0.019202492901693537 y1[1] (numeric) 0.019202492901692444 absolute error 1.0928757898653885e-15 relative error 5.6913224520395675e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9998156151342908 y2[1] (numeric) -0.9998156151342911 absolute error 2.220446049250313e-16 relative error 2.2208555414010737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.018513266009388716 Order of pole (three term test) -0.901772189378975 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.01848786984750123 Order of pole (three term test) -0.8974376049098453 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.600000000000001 y1[1] (analytic) 0.029199522301289704 y1[1] (numeric) 0.029199522301288604 absolute error 1.0998146837692957e-15 relative error 3.766550262093563e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9995736030415051 y2[1] (numeric) -0.9995736030415053 absolute error 2.220446049250313e-16 relative error 2.2213932445734204e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02814464333326535 Order of pole (three term test) -0.9134710156510096 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.02810603355617667 Order of pole (three term test) -0.9086557106299278 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.610000000000001 y1[1] (analytic) 0.039193631772988596 y1[1] (numeric) 0.039193631772987486 absolute error 1.1102230246251565e-15 relative error 2.832661772850298e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9992316344213905 y2[1] (numeric) -0.9992316344213907 absolute error 2.220446049250313e-16 relative error 2.222153475491268e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03776474002241337 Order of pole (three term test) -0.9299968698555348 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.03771293028986885 Order of pole (three term test) -0.9245024931983511 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.620000000000001 y1[1] (analytic) 0.049183821914171436 y1[1] (numeric) 0.049183821914170325 absolute error 1.1102230246251565e-15 relative error 2.2572931126876615e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.998789743470524 y2[1] (numeric) -0.9987897434705242 absolute error 2.220446049250313e-16 relative error 2.223136614854358e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04736970029524511 Order of pole (three term test) -0.9513431147005343 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04730470894041902 Order of pole (three term test) -0.9449715860134567 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.630000000000001 y1[1] (analytic) 0.059169093714149246 y1[1] (numeric) 0.05916909371414813 absolute error 1.1171619185290638e-15 relative error 1.888083538893066e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9982479743776324 y2[1] (numeric) -0.9982479743776326 absolute error 2.220446049250313e-16 relative error 2.2243431554516024e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.056955674474253905 Order of pole (three term test) -0.9775011769318713 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.056877524500253636 Order of pole (three term test) -0.9700547654718381 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.640000000000001 y1[1] (analytic) 0.06914844865406305 y1[1] (numeric) 0.06914844865406193 absolute error 1.124100812432971e-15 relative error 1.6256341744652005e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9976063813191736 y2[1] (numeric) -0.9976063813191738 absolute error 2.220446049250313e-16 relative error 2.2257737027645424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06651882053836745 Order of pole (three term test) -1.008460550818678 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06642753961383711 Order of pole (three term test) -0.9997419543158069 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.650000000000001 y1[1] (analytic) 0.07912088880673497 y1[1] (numeric) 0.07912088880673385 absolute error 1.124100812432971e-15 relative error 1.4207383529004096e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9968650284539188 y2[1] (numeric) -0.996865028453919 absolute error 2.220446049250313e-16 relative error 2.227428975710081e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0760553056721388 Order of pole (three term test) -1.0442088024242393 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07595092612595636 Order of pole (three term test) -1.0340212257352597 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.660000000000001 y1[1] (analytic) 0.08908541693646006 y1[1] (numeric) 0.08908541693645894 absolute error 1.124100812432971e-15 relative error 1.2618235970481373e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9960239899165366 y2[1] (numeric) -0.9960239899165368 absolute error 2.220446049250313e-16 relative error 2.229309807524193e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08556130781113486 Order of pole (three term test) -1.0847315746605568 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0854438666261954 Order of pole (three term test) -1.0728788082221883 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.670000000000001 y1[1] (analytic) 0.09904103659872912 y1[1] (numeric) 0.09904103659872798 absolute error 1.1379786002407855e-15 relative error 1.1489970615426574e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9950833498101801 y2[1] (numeric) -0.9950833498101803 absolute error 2.220446049250313e-16 relative error 2.231417146788639e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09503301718288626 Order of pole (three term test) -1.1300125931244414 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09490255598896322 Order of pole (three term test) -1.1162990911757626 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.680000000000001 y1[1] (analytic) 0.10898675223987221 y1[1] (numeric) 0.10898675223987107 absolute error 1.1379786002407855e-15 relative error 1.0441439687423424e-12% Correct digits 14 h 0.01 y2[1] (analytic) -0.9940432021980758 y2[1] (numeric) -0.9940432021980761 absolute error 2.220446049250313e-16 relative error 2.2337520586030432e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10446663784275936 Order of pole (three term test) -1.1800336727126377 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10432320290843432 Order of pole (three term test) -1.1642646312555782 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.690000000000001 y1[1] (analytic) 0.11892156929661332 y1[1] (numeric) 0.11892156929661217 absolute error 1.1518563880486e-15 relative error 9.685849210210538e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9929036510941184 y2[1] (numeric) -0.9929036510941186 absolute error 2.220446049250313e-16 relative error 2.2363157259050453e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11385838920412024 Order of pole (three term test) -1.2347747250131829 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11370203142777037 Order of pole (three term test) -1.2167561594803606 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.700000000000001 y1[1] (analytic) 0.12884449429552575 y1[1] (numeric) 0.12884449429552458 absolute error 1.1657341758564144e-15 relative error 9.047605660065023e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9916648104524685 y2[1] (numeric) -0.9916648104524687 absolute error 2.220446049250313e-16 relative error 2.2391094509415804e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12320450756215835 Order of pole (three term test) -1.2942137664698454 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12303528246199004 Order of pole (three term test) -1.2737525890690917 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.710000000000001 y1[1] (analytic) 0.13875453495237866 y1[1] (numeric) 0.1387545349523775 absolute error 1.1657341758564144e-15 relative error 8.401413159263594e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9903268041561579 y2[1] (numeric) -0.9903268041561581 absolute error 2.220446049250313e-16 relative error 2.2421346568947214e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13250124761073936 Order of pole (three term test) -1.3583269273161556 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13231921531385513 Order of pole (three term test) -1.335231024021191 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.720000000000001 y1[1] (analytic) 0.14865070027136473 y1[1] (numeric) 0.14865070027136357 absolute error 1.1657341758564144e-15 relative error 7.842103493144291e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9888897660047012 y2[1] (numeric) -0.9888897660047016 absolute error 3.3306690738754696e-16 relative error 3.3680893344988215e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14174488395166682 Order of pole (three term test) -1.4270884612752632 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14155010918215222 Order of pole (three term test) -1.401166768432113 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.730000000000001 y1[1] (analytic) 0.15853200064419884 y1[1] (numeric) 0.15853200064419767 absolute error 1.1657341758564144e-15 relative error 7.353305144194381e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9873538397007163 y2[1] (numeric) -0.9873538397007166 absolute error 2.220446049250313e-16 relative error 2.2488858198225752e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15093171259572705 Order of pole (three term test) -1.5004707560214603 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15072426466174152 Order of pole (three term test) -1.4715333365403531 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.740000000000001 y1[1] (analytic) 0.1683974479490781 y1[1] (numeric) 0.1683974479490769 absolute error 1.1934897514720433e-15 relative error 7.087338709746623e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9857191788355533 y2[1] (numeric) -0.9857191788355536 absolute error 3.3306690738754696e-16 relative error 3.378922867068535e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16005805245490048 Order of pole (three term test) -1.5784443443989415 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15983800523475794 Order of pole (three term test) -1.5463024635015896 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.750000000000001 y1[1] (analytic) 0.1782460556494932 y1[1] (numeric) 0.17824605564949197 absolute error 1.2212453270876722e-15 relative error 6.851457793204439e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9839859468739367 y2[1] (numeric) -0.983985946873937 absolute error 3.3306690738754696e-16 relative error 3.384874636123414e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16912024682512636 Order of pole (three term test) -1.6609779163930367 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16888767875234784 Order of pole (three term test) -1.6254441168853555 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7600000000000011 y1[1] (analytic) 0.1880768388928812 y1[1] (numeric) 0.18807683889288 absolute error 1.2212453270876722e-15 relative error 6.493331843923802e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9821543171376182 y2[1] (numeric) -0.9821543171376186 absolute error 3.3306690738754696e-16 relative error 3.3911871238140473e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17811466485900976 Order of pole (three term test) -1.7480383318488137 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1778696589063305 Order of pole (three term test) -1.708926508889331 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7700000000000011 y1[1] (analytic) 0.19788881460911012 y1[1] (numeric) 0.1978888146091089 absolute error 1.2212453270876722e-15 relative error 6.171371178810681e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9802244727880453 y2[1] (numeric) -0.9802244727880456 absolute error 3.3306690738754696e-16 relative error 3.3978636183221096e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18703770302786574 Order of pole (three term test) -1.8395906339316626 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1867803466901794 Order of pole (three term test) -1.79671610926605 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7800000000000011 y1[1] (analytic) 0.2076810016087849 y1[1] (numeric) 0.2076810016087837 absolute error 1.1934897514720433e-15 relative error 5.746744970540236e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9781966068080444 y2[1] (numeric) -0.9781966068080448 absolute error 3.3306690738754696e-16 relative error 3.404907613351659e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1958857865725041 Order of pole (three term test) -1.9355980633241718 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.19561617184872335 Order of pole (three term test) -1.8887776589565337 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7900000000000011 y1[1] (analytic) 0.21745242068136572 y1[1] (numeric) 0.21745242068136453 absolute error 1.1934897514720433e-15 relative error 5.488509843819447e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.976070921982524 y2[1] (numeric) -0.9760709219825243 absolute error 3.3306690738754696e-16 relative error 3.412322812680925e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20465537094215072 Order of pole (three term test) -2.0360220731532017 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20437359431596566 Order of pole (three term test) -1.985074184424974 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8000000000000012 y1[1] (analytic) 0.2272020946930882 y1[1] (numeric) 0.22720209469308697 absolute error 1.2212453270876722e-15 relative error 5.375149946295034e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9738476308781949 y2[1] (numeric) -0.9738476308781953 absolute error 3.3306690738754696e-16 relative error 3.4201131350208697e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2133429432209235 Order of pole (three term test) -2.1408223446408936 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21304910564043664 Order of pole (three term test) -2.085567012688424 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8100000000000012 y1[1] (analytic) 0.23692904868467576 y1[1] (numeric) 0.23692904868467454 absolute error 1.2212453270876722e-15 relative error 5.154476978941505e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9715269558223151 y2[1] (numeric) -0.9715269558223154 absolute error 3.3306690738754696e-16 relative error 3.428282719192635e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2219450235412774 Order of pole (three term test) -2.249956803472974 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22163923039749414 Order of pole (three term test) -2.1902157870351 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8200000000000012 y1[1] (analytic) 0.2466323099688351 y1[1] (numeric) 0.24663230996883387 absolute error 1.2212453270876722e-15 relative error 4.95168425921969e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9691091288804561 y2[1] (numeric) -0.9691091288804564 absolute error 3.3306690738754696e-16 relative error 3.436835929636901e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23045816648383455 Order of pole (three term test) -2.3633816368773757 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23014052758798723 Order of pole (three term test) -2.298978483424548 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8300000000000012 y1[1] (analytic) 0.2563109082275238 y1[1] (numeric) 0.25631090822752256 absolute error 1.2212453270876722e-15 relative error 4.764702897481012e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9665943918332973 y2[1] (numeric) -0.9665943918332977 absolute error 3.3306690738754696e-16 relative error 3.4457773622691264e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23887896246303167 Order of pole (three term test) -2.4810513114059707 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23854959202271553 Order of pole (three term test) -2.4118114275627436 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8400000000000012 y1[1] (analytic) 0.26596387560898144 y1[1] (numeric) 0.2659638756089802 absolute error 1.2212453270876722e-15 relative error 4.591771436219932e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9639829961524479 y2[1] (numeric) -0.9639829961524482 absolute error 3.3306690738754696e-16 relative error 3.4551118506956995e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2472040390980177 Order of pole (three term test) -2.6029185914118984 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24686305569211459 Order of pole (three term test) -2.528669312644864 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8500000000000012 y1[1] (analytic) 0.275590246824514 y1[1] (numeric) 0.2755902468245128 absolute error 1.2212453270876722e-15 relative error 4.431380795073338e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9612752029752996 y2[1] (numeric) -0.9612752029753 absolute error 4.440892098500626e-16 relative error 4.619792630409439e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25543006256824047 Order of pole (three term test) -2.728934558214658 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2550775891206089 Order of pole (three term test) -2.6495052177581884 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8600000000000012 y1[1] (analytic) 0.2851890592450219 y1[1] (numeric) 0.2851890592450207 absolute error 1.2212453270876722e-15 relative error 4.28223063788163e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9584712830789138 y2[1] (numeric) -0.9584712830789143 absolute error 4.440892098500626e-16 relative error 4.63330741035357e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26355373895317125 Order of pole (three term test) -2.85904862994487 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26318990270507825 Order of pole (three term test) -2.774270626937325 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8700000000000012 y1[1] (analytic) 0.2947593529972621 y1[1] (numeric) 0.29475935299726086 absolute error 1.2212453270876722e-15 relative error 4.14319448957067e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9555715168529436 y2[1] (numeric) -0.9555715168529441 absolute error 4.440892098500626e-16 relative error 4.6473675912046374e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27157181555561943 Order of pole (three term test) -2.9932085820603156 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27119674803689053 Order of pole (three term test) -2.902915448863646 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8800000000000012 y1[1] (analytic) 0.3043001710598345 y1[1] (numeric) 0.30430017105983326 absolute error 1.2212453270876722e-15 relative error 4.013291622000235e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.952576194271595 y2[1] (numeric) -0.9525761942715955 absolute error 4.440892098500626e-16 relative error 4.6619809787462057e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27948108220810014 Order of pole (three term test) -3.1313605685245873 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2790949192069639 Order of pole (three term test) -3.0353880372006277 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8900000000000012 y1[1] (analytic) 0.3138105593588835 y1[1] (numeric) 0.3138105593588823 absolute error 1.2212453270876722e-15 relative error 3.8916642243737185e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9494856148646301 y2[1] (numeric) -0.9494856148646306 absolute error 4.440892098500626e-16 relative error 4.677155745149201e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2872783725617244 Order of pole (three term test) -3.273449143639451 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2868812540933267 Order of pole (three term test) -3.1716352115564526 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9000000000000012 y1[1] (analytic) 0.3232895668635046 y1[1] (numeric) 0.3232895668635034 absolute error 1.1657341758564144e-15 relative error 3.60585151932415e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9463000876874141 y2[1] (numeric) -0.9463000876874146 absolute error 4.440892098500626e-16 relative error 4.692900440655523e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2949605653570863 Order of pole (three term test) -3.4194172845216646 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29455263563065215 Order of pole (three term test) -3.3116022790650117 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9100000000000013 y1[1] (analytic) 0.3327362456808464 y1[1] (numeric) 0.3327362456808452 absolute error 1.2212453270876722e-15 relative error 3.670310472454705e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9430199312900102 y2[1] (numeric) -0.9430199312900106 absolute error 4.440892098500626e-16 relative error 4.709224005929206e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3025245856766321 Order of pole (three term test) -3.569206414214777 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30210599306124747 Order of pole (three term test) -3.455233056576119 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9200000000000013 y1[1] (analytic) 0.3421496511508994 y1[1] (numeric) 0.3421496511508982 absolute error 1.2212453270876722e-15 relative error 3.569330914059773e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9396454736853245 y2[1] (numeric) -0.939645473685325 absolute error 5.551115123125783e-16 relative error 5.907669731387203e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30996740617800883 Order of pole (three term test) -3.72275642542628 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3095383031670023 Order of pole (three term test) -3.60246989344571 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9300000000000013 y1[1] (analytic) 0.35152884194096107 y1[1] (numeric) 0.35152884194095985 absolute error 1.2212453270876722e-15 relative error 3.4740970907097837e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9361770523163055 y2[1] (numeric) -0.9361770523163061 absolute error 5.551115123125783e-16 relative error 5.929556924506019e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3172860483078855 Order of pole (three term test) -3.8800057048799634 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3168465914817829 Order of pole (three term test) -3.7532536949161925 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9400000000000013 y1[1] (analytic) 0.3608728801397684 y1[1] (numeric) 0.36087288013976715 absolute error 1.27675647831893e-15 relative error 3.5379673801601106e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9326150140222 y2[1] (numeric) -0.9326150140222006 absolute error 5.551115123125783e-16 relative error 5.952204328327105e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3244775834957632 Order of pole (three term test) -4.040891158273353 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3240279334837932 Order of pole (three term test) -3.9075239460772413 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9500000000000013 y1[1] (analytic) 0.3701808313512881 y1[1] (numeric) 0.3701808313512869 absolute error 1.2212453270876722e-15 relative error 3.299050689982256e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9289597150038689 y2[1] (numeric) -0.9289597150038694 absolute error 5.551115123125783e-16 relative error 5.975625243450588e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33153913432729193 Order of pole (three term test) -4.20534823582974 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3310794557674179 Order of pole (three term test) -4.065218736396889 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9600000000000013 y1[1] (analytic) 0.37945176478815573 y1[1] (numeric) 0.37945176478815446 absolute error 1.27675647831893e-15 relative error 3.3647398610248417e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9252115207881677 y2[1] (numeric) -0.9252115207881684 absolute error 6.661338147750939e-16 relative error 7.199800259811172e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33846787569661735 Order of pole (three term test) -4.373310958434 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3379983371940741 Order of pole (three term test) -4.226274784812529 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9700000000000013 y1[1] (analytic) 0.3886847533647532 y1[1] (numeric) 0.388684753364752 absolute error 1.2212453270876722e-15 relative error 3.141994422255147e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9213708061913949 y2[1] (numeric) -0.9213708061913956 absolute error 6.661338147750939e-16 relative error 7.229812473966307e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3452610359372994 Order of pole (three term test) -4.5447119443412864 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3447818100216108 Order of pole (three term test) -4.39062746537132 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9800000000000013 y1[1] (analytic) 0.3978788737899172 y1[1] (numeric) 0.39787887378991593 absolute error 1.27675647831893e-15 relative error 3.208907439989051e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9174379552818093 y2[1] (numeric) -0.91743795528181 absolute error 7.771561172376096e-16 relative error 8.470939236418344e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35191589793134814 Order of pole (three term test) -4.719482436447474 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3514271610118038 Order of pole (three term test) -4.558210833409234 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9900000000000013 y1[1] (analytic) 0.40703320665926673 y1[1] (numeric) 0.4070332066592655 absolute error 1.2212453270876722e-15 relative error 3.000357973520313e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9134133613412246 y2[1] (numeric) -0.9134133613412254 absolute error 7.771561172376096e-16 relative error 8.508263072662528e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35842980019592846 Order of pole (three term test) -4.897552330109759 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3579317325154984 Order of pole (three term test) -4.728957652257637 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y1[1] (analytic) 0.4161468365471436 y1[1] (numeric) 0.41614683654714235 absolute error 1.2212453270876722e-15 relative error 2.9346500317546504e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9092974268256812 y2[1] (numeric) -0.9092974268256819 absolute error 7.771561172376096e-16 relative error 8.546775722775646e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3648001379473064 Order of pole (three term test) -5.078850201506005 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3642929235349726 Order of pole (three term test) -4.902799420466351 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y1[1] (analytic) 0.4252188520981534 y1[1] (numeric) 0.42521885209815236 absolute error 1.0547118733938987e-15 relative error 2.480397725052979e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9050905633252004 y2[1] (numeric) -0.9050905633252012 absolute error 7.771561172376096e-16 relative error 8.58650116052946e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37102436414160356 Order of pole (three term test) -5.263303336520712 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37050819076308844 Order of pole (three term test) -5.0796663995316 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y1[1] (analytic) 0.43424834611830126 y1[1] (numeric) 0.43424834611830043 absolute error 8.326672684688674e-16 relative error 1.9174909378745817e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.9007931915226269 y2[1] (numeric) -0.9007931915226276 absolute error 6.661338147750939e-16 relative error 7.394969467399236e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37709999049195503 Order of pole (three term test) -5.450837760145842 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3765750495988268 Order of pole (three term test) -5.2594876421173895 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y1[1] (analytic) 0.4432344156657097 y1[1] (numeric) 0.4432344156657091 absolute error 6.106226635438361e-16 relative error 1.3776517390390816e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8964057411515596 y2[1] (numeric) -0.8964057411515602 absolute error 6.661338147750939e-16 relative error 7.431164083346355e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3830245884616593 Order of pole (three term test) -5.641378266383998 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38249107513879654 Order of pole (three term test) -5.442191020758424 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y1[1] (analytic) 0.4521761621409124 y1[1] (numeric) 0.45217616214091194 absolute error 4.440892098500626e-16 relative error 9.821154829291297e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8919286509533794 y2[1] (numeric) -0.8919286509533799 absolute error 5.551115123125783e-16 relative error 6.22372105346343e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3887957902329269 Order of pole (three term test) -5.834848448641541 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3882539031443244 Order of pole (three term test) -5.627703257032484 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y1[1] (analytic) 0.46107269137671314 y1[1] (numeric) 0.4610726913767129 absolute error 2.220446049250313e-16 relative error 4.8158264212532334e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8873623686333753 y2[1] (numeric) -0.8873623686333757 absolute error 4.440892098500626e-16 relative error 5.0045981838738936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3944112896508514 Order of pole (three term test) -6.031170730599161 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.39386123098375087 Order of pole (three term test) -5.815949951190321 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.06 y1[1] (analytic) 0.4699231137276022 y1[1] (numeric) 0.4699231137276022 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y2[1] (analytic) -0.8827073508159741 y2[1] (numeric) -0.8827073508159743 absolute error 2.220446049250313e-16 relative error 2.515495137995321e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39986884314222054 Order of pole (three term test) -6.230266397546782 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3993108185495506 Order of pole (three term test) -6.006855612230397 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.07 y1[1] (analytic) 0.4787265441587198 y1[1] (numeric) 0.47872654415872 absolute error 2.220446049250313e-16 relative error 4.6382346588956503e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8779640629990781 y2[1] (numeric) -0.8779640629990784 absolute error 2.220446049250313e-16 relative error 2.5290853496501764e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4051662706088131 Order of pole (three term test) -6.432055628169987 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4046004891499241 Order of pole (three term test) -6.200343688406153 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y1[1] (analytic) 0.487482102334359 y1[1] (numeric) 0.4874821023343594 absolute error 3.885780586188048e-16 relative error 7.971124616843534e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.8731329795075167 y2[1] (numeric) -0.8731329795075168 absolute error 1.1102230246251565e-16 relative error 1.2715394455164992e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41030145629482817 Order of pole (three term test) -6.636457526774709 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4097281303745093 Order of pole (three term test) -6.39633659815306 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y1[1] (analytic) 0.49618891270599846 y1[1] (numeric) 0.4961889127059991 absolute error 6.106226635438361e-16 relative error 1.2306253684987957e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8682145834456129 y2[1] (numeric) -0.8682145834456129 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4152723496281073 Order of pole (three term test) -6.843390155936801 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4146916949338731 Order of pole (three term test) -6.594755761422535 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y1[1] (analytic) 0.5048461045998568 y1[1] (numeric) 0.5048461045998576 absolute error 7.771561172376096e-16 relative error 1.539392123969317e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8632093666488742 y2[1] (numeric) -0.863209366648874 absolute error 1.1102230246251565e-16 relative error 1.2861572956920422e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4200769660348204 Order of pole (three term test) -7.052770569562917 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41948920147245733 Order of pole (three term test) -6.795521631409704 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y1[1] (analytic) 0.5134528123039588 y1[1] (numeric) 0.5134528123039597 absolute error 8.881784197001252e-16 relative error 1.7298150841061764e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8581178296348094 y2[1] (numeric) -0.8581178296348091 absolute error 3.3306690738754696e-16 relative error 3.881365657316441e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42471338772730144 Order of pole (three term test) -7.264514846349159 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4241187353546637 Order of pole (three term test) -6.998553726661944 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y1[1] (analytic) 0.5220081751547062 y1[1] (numeric) 0.5220081751547073 absolute error 1.1102230246251565e-15 relative error 2.1268307230937957e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8529404815528769 y2[1] (numeric) -0.8529404815528765 absolute error 4.440892098500626e-16 relative error 5.2065673919186806e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42917976446472395 Order of pole (three term test) -7.478538123623506 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42857844942377354 Order of pole (three term test) -7.203770663554795 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y1[1] (analytic) 0.5305113376229437 y1[1] (numeric) 0.5305113376229449 absolute error 1.2212453270876722e-15 relative error 2.302015509338015e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8476778401335705 y2[1] (numeric) -0.84767784013357 absolute error 5.551115123125783e-16 relative error 6.548614179003525e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4334743142863275 Order of pole (three term test) -7.694754631558145 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4328665647334093 Order of pole (three term test) -7.411090189121833 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y1[1] (analytic) 0.5389614493995101 y1[1] (numeric) 0.5389614493995115 absolute error 1.4432899320127035e-15 relative error 2.677909400794363e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8423304316366466 y2[1] (numeric) -0.8423304316366459 absolute error 6.661338147750939e-16 relative error 7.90822448953669e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4375953242169086 Order of pole (three term test) -7.913077727737565 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4369813712512578 Order of pole (three term test) -7.6204292142249495 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y1[1] (analytic) 0.5473576654802695 y1[1] (numeric) 0.5473576654802712 absolute error 1.6653345369377348e-15 relative error 3.0424978802051044e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8368987907984987 y2[1] (numeric) -0.8368987907984979 absolute error 7.771561172376096e-16 relative error 9.286142192846429e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44154115094430685 Order of pole (three term test) -8.133419932068104 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4409212285347854 Order of pole (three term test) -7.831703847051268 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y1[1] (analytic) 0.5556991462506109 y1[1] (numeric) 0.5556991462506127 absolute error 1.7763568394002505e-15 relative error 3.1966161031299186e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8313834607786843 y2[1] (numeric) -0.8313834607786834 absolute error 8.881784197001252e-16 relative error 1.068313794537416e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4453102214686296 Order of pole (three term test) -8.355692962014704 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4446845663786897 Order of pole (three term test) -8.044829426922966 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y1[1] (analytic) 0.5639850575694082 y1[1] (numeric) 0.5639850575694102 absolute error 1.9984014443252818e-15 relative error 3.5433588487924497e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8257849931056094 y2[1] (numeric) -0.8257849931056083 absolute error 1.1102230246251565e-15 relative error 1.344445629182281e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44890103372296625 Order of pole (three term test) -8.57980776815031 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44826988543384205 Order of pole (three term test) -8.25972055840606 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y1[1] (analytic) 0.5722145708524347 y1[1] (numeric) 0.5722145708524368 absolute error 2.1094237467877974e-15 relative error 3.6864208886630843e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8201039476213756 y2[1] (numeric) -0.8201039476213744 absolute error 1.2212453270876722e-15 relative error 1.4891347988627107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4523121571653575 Order of pole (three term test) -8.805674570003292 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45167575779748714 Order of pole (three term test) -8.476291145704028 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y1[1] (analytic) 0.5803868631552197 y1[1] (numeric) 0.580386863155222 absolute error 2.3314683517128287e-15 relative error 4.0170935969122664e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8143408924257975 y2[1] (numeric) -0.8143408924257961 absolute error 1.4432899320127035e-15 relative error 1.7723412215164125e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.455542233341799 Order of pole (three term test) -9.033202892188267 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45490082757448025 Order of pole (three term test) -8.694454427322249 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y1[1] (analytic) 0.5885011172553434 y1[1] (numeric) 0.5885011172553458 absolute error 2.4424906541753444e-15 relative error 4.1503585678250766e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8084964038195919 y2[1] (numeric) -0.8084964038195903 absolute error 1.5543122344752192e-15 relative error 1.9224726629978294e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.830019744091087 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4585899764200665 Order of pole (three term test) -9.262301600805392 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.102123968086293 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.45794381140935225 Order of pole (three term test) -8.914123010988938 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y1[1] (analytic) 0.5965565217341574 y1[1] (numeric) 0.5965565217341601 absolute error 2.6645352591003757e-15 relative error 4.466526074268229e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.8025710662467491 y2[1] (numeric) -0.8025710662467473 absolute error 1.7763568394002505e-15 relative error 2.2133327677852177e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.12282898006228 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46145417369416647 Order of pole (three term test) -9.49287894009343 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.379522191637948 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.460803498989008 Order of pole (three term test) -9.135208908818374 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y1[1] (analytic) 0.6045522710579269 y1[1] (numeric) 0.6045522710579296 absolute error 2.7755575615628914e-15 relative error 4.591096079592667e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7965654722360886 y2[1] (numeric) -0.7965654722360868 absolute error 1.887379141862766e-15 relative error 2.3693961232898866e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.420023903190586 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4641336860592245 Order of pole (three term test) -9.724842569321414 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.661075276706871 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.46347875351587214 Order of pole (three term test) -9.357623572701907 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y1[1] (analytic) 0.6124875656583824 y1[1] (numeric) 0.6124875656583854 absolute error 2.9976021664879227e-15 relative error 4.894143709294253e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.790480222342007 y2[1] (numeric) -0.7904802223420049 absolute error 2.1094237467877974e-15 relative error 2.6685345024042107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.721764591441502 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46662744845663917 Order of pole (three term test) -9.958099599903903 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.946934876102475 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.46596851215131174 Order of pole (three term test) -9.58127792991233 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y1[1] (analytic) 0.6203616120126767 y1[1] (numeric) 0.6203616120126798 absolute error 3.1086244689504383e-15 relative error 5.010987799301346e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7843159250844224 y2[1] (numeric) -0.7843159250844202 absolute error 2.220446049250313e-15 relative error 2.8310607731333624e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.028217904631001 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.468934470289339 Order of pole (three term test) -10.19255663272477 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.23725906754516 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4682717864291755 Order of pole (three term test) -9.806082418907051 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y1[1] (analytic) 0.628173622722736 y1[1] (numeric) 0.6281736227227392 absolute error 3.219646771412954e-15 relative error 5.125409050857338e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7780731968879238 y2[1] (numeric) -0.7780731968879214 absolute error 2.3314683517128287e-15 relative error 2.996464035823433e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.33955787125165 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4710538358069953 Order of pole (three term test) -10.4281197956543 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.532212720133142 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47038766263930554 Order of pole (three term test) -10.031947025315592 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y1[1] (analytic) 0.6359228165939993 y1[1] (numeric) 0.6359228165940027 absolute error 3.4416913763379853e-15 relative error 5.412121230012903e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7717526620201285 y2[1] (numeric) -0.771752662020126 absolute error 2.4424906541753444e-15 relative error 3.1648619750554753e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.65596610144373 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47298470446105256 Order of pole (three term test) -10.664694781244195 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.83196788557827 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47231530218088214 Order of pole (three term test) -10.258781318096458 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y1[1] (analytic) 0.6436084187135371 y1[1] (numeric) 0.6436084187135407 absolute error 3.552713678800501e-15 relative error 5.519992553704885e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7653549525292563 y2[1] (numeric) -0.7653549525292537 absolute error 2.6645352591003757e-15 relative error 3.4814372733787484e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.977632228217503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4747263112294538 Order of pole (three term test) -10.902186884585456 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.136704216206056 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47405394188548655 Order of pole (three term test) -10.486494485849141 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y1[1] (analytic) 0.6512296605275422 y1[1] (numeric) 0.6512296605275458 absolute error 3.6637359812630166e-15 relative error 5.625873947902082e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7588807081809249 y2[1] (numeric) -0.7588807081809221 absolute error 2.7755575615628914e-15 relative error 3.657435920615299e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.304754379226473 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47627796691094904 Order of pole (three term test) -11.140501041313414 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.446609411898764 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4756028943097651 Order of pole (three term test) -10.714995373265898 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y1[1] (analytic) 0.6587857799181841 y1[1] (numeric) 0.6587857799181879 absolute error 3.774758283725532e-15 relative error 5.729872135664991e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7523305763941739 y2[1] (numeric) -0.7523305763941709 absolute error 2.9976021664879227e-15 relative error 3.984421556884015e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.63753968160871 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4776390583888874 Order of pole (three term test) -11.379541865744953 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.761879698366148 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.476961547997604 Order of pole (three term test) -10.944192517709226 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y1[1] (analytic) 0.6662760212798204 y1[1] (numeric) 0.6662760212798243 absolute error 3.885780586188048e-15 relative error 5.832088296865348e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7457052121767236 y2[1] (numeric) -0.7457052121767204 absolute error 3.219646771412954e-15 relative error 4.3175865192289074e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.976204802651463 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4788090488644075 Order of pole (three term test) -11.619213689132069 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.082720339354015 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47812936771172665 Order of pole (three term test) -11.173994185899572 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y1[1] (analytic) 0.673699635594557 y1[1] (numeric) 0.673699635594561 absolute error 3.9968028886505635e-15 relative error 5.932618451134063e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7390052780594745 y2[1] (numeric) -0.739005278059471 absolute error 3.4416913763379853e-15 relative error 4.657194581039246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.320976529299646 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47978747805895083 Order of pole (three term test) -11.859420598016522 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.4093461856523 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4791058946346428 Order of pole (three term test) -11.404308410698798 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y1[1] (analytic) 0.6810558805071486 y1[1] (numeric) 0.6810558805071527 absolute error 4.107825191113079e-15 relative error 6.031553810319037e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7322314440302551 y2[1] (numeric) -0.7322314440302514 absolute error 3.6637359812630166e-15 relative error 5.003521784174615e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.67209238982272 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4805739623860382 Order of pole (three term test) -12.100066472670195 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.741982264042576 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4798907465388904 Order of pole (three term test) -11.635043027974593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y1[1] (analytic) 0.6883440203992341 y1[1] (numeric) 0.6883440203992384 absolute error 4.218847493575595e-15 relative error 6.128981103269694e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7253843874668235 y2[1] (numeric) -0.7253843874668197 absolute error 3.885780586188048e-15 relative error 5.356857210227411e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.029801321280523 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4811681950922581 Order of pole (three term test) -12.34105502560535 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.08086440963418 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4804836179265238 Order of pole (three term test) -11.866105713530628 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y1[1] (analytic) 0.6955633264628979 y1[1] (numeric) 0.6955633264629022 absolute error 4.3298697960381105e-15 relative error 6.224982875472332e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7184647930691302 y2[1] (numeric) -0.7184647930691263 absolute error 3.9968028886505635e-15 relative error 5.56297667917319e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.394364386792734 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4815699463674333 Order of pole (three term test) -12.582289840139596 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.42623994538259 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.48088428013781204 Order of pole (three term test) -12.09740402008792 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y1[1] (analytic) 0.7027130767735495 y1[1] (numeric) 0.702713076773554 absolute error 4.440892098500626e-15 relative error 6.319637765801406e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7114733527908488 y2[1] (numeric) -0.7114733527908446 absolute error 4.218847493575595e-15 relative error 5.929733667503646e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.766055547019974 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48177906342393895 Order of pole (three term test) -12.823674408999873 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.77836841296629 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.48109258142912764 Order of pole (three term test) -12.328845414302359 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y1[1] (analytic) 0.7097925563621161 y1[1] (numeric) 0.7097925563621207 absolute error 4.551914400963142e-15 relative error 6.413020762422427e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.7044107657701806 y2[1] (numeric) -0.7044107657701763 absolute error 4.3298697960381105e-15 relative error 6.146796736282086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.145162490716828 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48179547054516353 Order of pole (three term test) -13.065112172950109 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.13752235962647 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.48110844702001554 Order of pole (three term test) -12.560337313803634 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y1[1] (analytic) 0.7168010572865383 y1[1] (numeric) 0.716801057286543 absolute error 4.6629367034256575e-15 relative error 6.505203439678616e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6972777382599425 y2[1] (numeric) -0.697277738259938 absolute error 4.551914400963142e-15 relative error 6.528122369606192e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.45526533957662 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4816191691031095 Order of pole (three term test) -13.30650655942676 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.482502072597793 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.48093187910944435 Order of pole (three term test) -12.791787124240463 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y1[1] (analytic) 0.723737878702564 y1[1] (numeric) 0.7237378787025688 absolute error 4.773959005888173e-15 relative error 6.596254177612467e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6900749835569413 y2[1] (numeric) -0.6900749835569365 absolute error 4.773959005888173e-15 relative error 6.918029373099643e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.0697489758038 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.481250237545152 Order of pole (three term test) -13.547761021167183 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.116261527013613 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4805629568612568 Order of pole (three term test) -13.02310227631767 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y1[1] (analytic) 0.7306023269338324 y1[1] (numeric) 0.7306023269338373 absolute error 4.884981308350689e-15 relative error 6.686238365612406e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6828032219306449 y2[1] (numeric) -0.6828032219306399 absolute error 4.9960036108132044e-15 relative error 7.316901049012139e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.69151511729237 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48068883134997614 Order of pole (three term test) -13.78877907481504 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.756939361427754 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.48000183635884597 Order of pole (three term test) -13.25419026280996 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y1[1] (analytic) 0.7373937155412407 y1[1] (numeric) 0.7373937155412457 absolute error 4.9960036108132044e-15 relative error 6.775218591531094e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6754631805511563 y2[1] (numeric) -0.6754631805511511 absolute error 5.218048215738236e-15 relative error 7.725140860350783e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.320285793468216 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.479935182952735 Order of pole (three term test) -14.029464339487472 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.40427150379481 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47924875052909743 Order of pole (three term test) -13.484958675537763 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y1[1] (analytic) 0.7441113653915875 y1[1] (numeric) 0.7441113653915926 absolute error 5.10702591327572e-15 relative error 6.863254817493824e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6680555934164966 y2[1] (numeric) -0.6680555934164912 absolute error 5.329070518200751e-15 relative error 7.976986602188905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.955795986664533 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47898960163947546 Order of pole (three term test) -14.26972057528863 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.05800618733131 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4783040090356501 Order of pole (three term test) -13.71531524229039 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y1[1] (analytic) 0.7507546047254859 y1[1] (numeric) 0.7507546047254912 absolute error 5.218048215738236e-15 relative error 6.950404543500894e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6605812012792064 y2[1] (numeric) -0.6605812012792008 absolute error 5.551115123125783e-15 relative error 8.403380405582424e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.597792863907603 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4778524734108959 Order of pole (three term test) -14.50945172175426 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.717903220712223 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47716799814154026 Order of pole (three term test) -13.945167863681808 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y1[1] (analytic) 0.7573227692245386 y1[1] (numeric) 0.7573227692245439 absolute error 5.329070518200751e-15 relative error 7.036722959825252e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6530407515722708 y2[1] (numeric) -0.653040751572265 absolute error 5.773159728050814e-15 relative error 8.840427973524266e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.24603506219525 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4765242608155097 Order of pole (three term test) -14.748561936211942 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.383733309085493 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.47584118054130264 Order of pole (three term test) -14.174424649924298 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y1[1] (analytic) 0.7638152020777689 y1[1] (numeric) 0.7638152020777743 absolute error 5.440092820663267e-15 relative error 7.122263089114816e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6454349983343768 y2[1] (numeric) -0.6454349983343708 absolute error 5.995204332975845e-15 relative error 9.288626040495473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.900292022955842 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.475005502752302 Order of pole (three term test) -14.986955632041795 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.05527742180805 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4743240951626227 Order of pole (three term test) -14.402993957505421 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y1[1] (analytic) 0.7702312540473021 y1[1] (numeric) 0.7702312540473075 absolute error 5.440092820663267e-15 relative error 7.062934400645829e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6377647021345101 y2[1] (numeric) -0.6377647021345039 absolute error 6.217248937900877e-15 relative error 9.748499590981761e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.56034337176695 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4732968142429765 Order of pole (three term test) -15.224537516822627 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.732326203178607 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4726173569376339 Order of pole (three term test) -14.630784425753932 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y1[1] (analytic) 0.7765702835332877 y1[1] (numeric) 0.7765702835332933 absolute error 5.551115123125783e-15 relative error 7.148245613866364e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6300306299958988 y2[1] (numeric) -0.6300306299958923 absolute error 6.439293542825908e-15 relative error 1.022060394566503e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.225978339766876 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4713988861739042 Order of pole (three term test) -15.461212630348056 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.414679422778535 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4707216565439778 Order of pole (three term test) -14.857705013279821 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y1[1] (analytic) 0.7828316566380599 y1[1] (numeric) 0.7828316566380654 absolute error 5.551115123125783e-15 relative error 7.091071338332867e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6222335553193116 y2[1] (numeric) -0.6222335553193049 absolute error 6.661338147750939e-15 relative error 1.070552703370769e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.896995223507902 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46931248500789774 Order of pole (three term test) -15.69688638249791 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.102145462332508 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.46863776011574854 Order of pole (three term test) -15.083665034274341 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y1[1] (analytic) 0.7890147472295257 y1[1] (numeric) 0.7890147472295314 absolute error 5.662137425588298e-15 relative error 7.176212416142804e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6143742578057187 y2[1] (numeric) -0.6143742578057119 absolute error 6.8833827526759706e-15 relative error 1.1203891870828802e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.573200880286853 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4670384524659425 Order of pole (three term test) -15.931464590949766 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.79454083627251 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4663665089244586 Order of pole (three term test) -15.308574194655629 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y1[1] (analytic) 0.7951189370037787 y1[1] (numeric) 0.7951189370037844 absolute error 5.773159728050814e-15 relative error 7.260749882031017e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.6064535233783221 y2[1] (numeric) -0.606453523378315 absolute error 7.105427357601002e-15 relative error 1.1716359265289393e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.254410256246445 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4645777051790328 Order of pole (three term test) -16.16485351871569 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.491689743434128 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.4639088190301729 Order of pole (three term test) -15.532342628045573 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y1[1] (analytic) 0.8011436155469281 y1[1] (numeric) 0.801143615546934 absolute error 5.88418203051333e-15 relative error 7.344728106578359e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.598472144103964 y2[1] (numeric) -0.5984721441039567 absolute error 7.327471962526033e-15 relative error 1.224363077666174e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.940445944773202 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46193123431027105 Order of pole (three term test) -16.396959911489542 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.193423647534543 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.46126568090297254 Order of pole (three term test) -15.754880931563832 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y1[1] (analytic) 0.8070881803961404 y1[1] (numeric) 0.8070881803961464 absolute error 5.995204332975845e-15 relative error 7.42818997799378e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5904309181139206 y2[1] (numeric) -0.590430918113913 absolute error 7.549516567451064e-15 relative error 1.2786451955407972e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.631137772928577 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4591001051473962 Order of pole (three term test) -16.62769103479011 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.89958088428215 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 2 0.45843815901491436 Order of pole (three term test) -15.976100201425087 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y1[1] (analytic) 0.8129520370998843 y1[1] (numeric) 0.8129520370998903 absolute error 5.995204332975845e-15 relative error 7.374610136119553e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5823306495240899 y2[1] (numeric) -0.5823306495240821 absolute error 7.771561172376096e-15 relative error 1.3345615894899932e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4560854566659259 Order of pole (three term test) -16.856954710885226 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45542739140267524 Order of pole (three term test) -16.195912068325136 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y1[1] (analytic) 0.818734599277376 y1[1] (numeric) 0.818734599277382 absolute error 5.995204332975845e-15 relative error 7.322524708577453e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5741721483545806 y2[1] (numeric) -0.5741721483545726 absolute error 7.993605777301127e-15 relative error 1.3921967131649631e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4528885010631001 Order of pole (three term test) -17.08465935548282 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45223458920106724 Order of pole (three term test) -16.41422873260247 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y1[1] (analytic) 0.8244352886772165 y1[1] (numeric) 0.8244352886772226 absolute error 6.106226635438361e-15 relative error 7.406556608264103e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5659562304487112 y2[1] (numeric) -0.5659562304487029 absolute error 8.326672684688674e-15 relative error 1.4712573582036506e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4495105232628337 Order of pole (three term test) -17.31071401417404 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44886103614763423 Order of pole (three term test) -16.630962999161113 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y1[1] (analytic) 0.8300535352352164 y1[1] (numeric) 0.8300535352352225 absolute error 6.106226635438361e-15 relative error 7.356425069267381e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5576837173914255 y2[1] (numeric) -0.557683717391417 absolute error 8.548717289613705e-15 relative error 1.5328970567045541e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44595288039188813 Order of pole (three term test) -17.53502839861454 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4453080880585415 Order of pole (three term test) -16.846028312141417 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y1[1] (analytic) 0.8355887771314018 y1[1] (numeric) 0.8355887771314079 absolute error 6.106226635438361e-15 relative error 7.307693452275888e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5493554364271356 y2[1] (numeric) -0.5493554364271268 absolute error 8.770761894538737e-15 relative error 1.5965550375875925e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44221700122749125 Order of pole (three term test) -17.757512922429484 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.44157717227598814 Order of pole (three term test) -17.05933878932497 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y1[1] (analytic) 0.8410404608461957 y1[1] (numeric) 0.8410404608462018 absolute error 6.106226635438361e-15 relative error 7.260324466785707e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5409722203769975 y2[1] (numeric) -0.5409722203769886 absolute error 8.992806499463768e-15 relative error 1.6623416435684592e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.438304385616637 Order of pole (three term test) -17.97807873682861 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43766978708737536 Order of pole (three term test) -17.270809256260552 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y1[1] (analytic) 0.8464080412157696 y1[1] (numeric) 0.8464080412157757 absolute error 6.106226635438361e-15 relative error 7.21428240056351e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5325349075556305 y2[1] (numeric) -0.5325349075556213 absolute error 9.2148511043888e-15 relative error 1.7303750371380458e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4342166038673166 Order of pole (three term test) -18.196637765916996 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.43358750111648386 Order of pole (three term test) -17.48035528009749 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y1[1] (analytic) 0.8516909814865598 y1[1] (numeric) 0.8516909814865659 absolute error 6.106226635438361e-15 relative error 7.169533044462232e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5240443416872855 y2[1] (numeric) -0.5240443416872761 absolute error 9.43689570931383e-15 relative error 1.8007819107309695e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4299552961119359 Order of pole (three term test) -18.41310274168819 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4293319526869155 Order of pole (three term test) -17.68789320311351 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y1[1] (analytic) 0.8568887533689413 y1[1] (numeric) 0.8568887533689474 absolute error 6.106226635438361e-15 relative error 7.126043621685006e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.515501371821474 y2[1] (numeric) -0.5155013718214643 absolute error 9.769962616701378e-15 relative error 1.895235037334656e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4255221716431879 Order of pole (three term test) -18.627387238685756 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4249048491580701 Order of pole (three term test) -17.893340175923935 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y1[1] (analytic) 0.8620008370900576 y1[1] (numeric) 0.8620008370900637 absolute error 6.106226635438361e-15 relative error 7.083782721199855e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.5069068522480634 y2[1] (numeric) -0.5069068522480534 absolute error 9.992007221626409e-15 relative error 1.9711722533071324e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42091900822265704 Order of pole (three term test) -18.83940570832013 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.42030796623393346 Order of pole (three term test) -18.096614190359485 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y1[1] (analytic) 0.8670267214457965 y1[1] (numeric) 0.8670267214458026 absolute error 6.106226635438361e-15 relative error 7.042720235030381e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.49826164241184895 y2[1] (numeric) -0.49826164241183873 absolute error 1.021405182655144e-14 relative error 2.0499374138274114e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4161476513624491 Order of pole (three term test) -19.049073512826997 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4155431472449728 Order of pole (three term test) -18.297634111999745 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y1[1] (analytic) 0.8719659038519106 y1[1] (numeric) 0.8719659038519167 absolute error 6.106226635438361e-15 relative error 7.002827299168576e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.48956660682660996 y2[1] (numeric) -0.48956660682659947 absolute error 1.049160758270773e-14 relative error 2.1430398716764493e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4112100135801402 Order of pole (three term test) -19.256306958854392 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.41061230240343394 Order of pole (three term test) -18.496319712349862 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y1[1] (analytic) 0.8768178903942755 y1[1] (numeric) 0.8768178903942816 absolute error 6.106226635438361e-15 relative error 6.964076237874887e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.48082261498865914 y2[1] (numeric) -0.48082261498864837 absolute error 1.0769163338864018e-14 relative error 2.239737275901223e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40610807362735574 Order of pole (three term test) -19.461023330665462 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4055174080323491 Order of pole (three term test) -18.692591700648105 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y1[1] (analytic) 0.88158219587828 y1[1] (numeric) 0.8815821958782861 absolute error 6.106226635438361e-15 relative error 6.926440511148262e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.47203054128989363 y2[1] (numeric) -0.4720305412898826 absolute error 1.1046719095020308e-14 relative error 2.340255159090661e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4008438756922993 Order of pole (three term test) -19.66314092294389 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.40026050576857986 Order of pole (three term test) -18.886371755291787 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y1[1] (analytic) 0.886258343877346 y1[1] (numeric) 0.8862583438773523 absolute error 6.217248937900877e-15 relative error 7.015165477258756e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.46319126493035656 y2[1] (numeric) -0.4631912649303453 absolute error 1.1268763699945339e-14 relative error 2.432853240796685e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39541952857655843 Order of pole (three term test) -19.862579073189366 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3948437017402207 Order of pole (three term test) -19.077582554869664 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y1[1] (analytic) 0.8908458667805706 y1[1] (numeric) 0.8908458667805768 absolute error 6.106226635438361e-15 relative error 6.854414285498864e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.45430566983031795 y2[1] (numeric) -0.4543056698303064 absolute error 1.1546319456101628e-14 relative error 2.541531004976044e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38983720484652684 Order of pole (three term test) -20.059258193690766 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38926916571870085 Order of pole (three term test) -19.266147808788777 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y1[1] (analytic) 0.8953443058394861 y1[1] (numeric) 0.8953443058394923 absolute error 6.217248937900877e-15 relative error 6.943975515733588e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.4453746445418831 y2[1] (numeric) -0.44537464454187126 absolute error 1.1823875212257917e-14 relative error 2.6548155260208124e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38409913995978767 Order of pole (three term test) -20.25309980306447 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.38353913024593583 Order of pole (three term test) -19.451992287483936 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y1[1] (analytic) 0.8997532112139355 y1[1] (numeric) 0.8997532112139417 absolute error 6.217248937900877e-15 relative error 6.909949150959566e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.4363990821601383 y2[1] (numeric) -0.43639908216012624 absolute error 1.2045919817182948e-14 relative error 2.7602990724812416e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.378207631366819 Order of pole (three term test) -20.444026557345815 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3776558897368818 Order of pole (three term test) -19.635041852198327 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y1[1] (analytic) 0.9040721420170553 y1[1] (numeric) 0.9040721420170615 absolute error 6.217248937900877e-15 relative error 6.876938962005521e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.4273798802338422 y2[1] (numeric) -0.4273798802338299 absolute error 1.2323475573339238e-14 relative error 2.8834945544456633e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3721650375883806 Order of pole (three term test) -20.631962280621845 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.37162179955785873 Order of pole (three term test) -19.81522348432385 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y1[1] (analytic) 0.9083006663593644 y1[1] (numeric) 0.9083006663593706 absolute error 6.217248937900877e-15 relative error 6.844923898185333e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.41831794067567146 y2[1] (numeric) -0.41831794067565886 absolute error 1.2601031329495527e-14 relative error 3.012309562707784e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3659737772689688 Order of pole (three term test) -20.816831995193144 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.365439275081026 Order of pole (three term test) -19.992465314289706 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y1[1] (analytic) 0.9124383613919522 y1[1] (numeric) 0.9124383613919583 absolute error 6.106226635438361e-15 relative error 6.692207269895063e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.4092141696720303 y2[1] (numeric) -0.4092141696720174 absolute error 1.2878587085651816e-14 relative error 3.1471508173760254e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35963632820670755 Order of pole (three term test) -20.998561951253784 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.35911079071537905 Order of pole (three term test) -20.166696649988566 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y1[1] (analytic) 0.9164848133487636 y1[1] (numeric) 0.9164848133487697 absolute error 6.106226635438361e-15 relative error 6.662659922455984e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.40006947759243255 y2[1] (numeric) -0.4000694775924194 absolute error 1.3156142841808105e-14 relative error 3.2884645239572153e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3531552263600788 Order of pole (three term test) -21.177079656077577 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3526388789146701 Order of pole (three term test) -20.3378480047292 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y1[1] (analytic) 0.920439617587975 y1[1] (numeric) 0.920439617587981 absolute error 5.995204332975845e-15 relative error 6.513414045221524e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.3908847788984657 y2[1] (numeric) -0.3908847788984523 absolute error 1.3378187446733136e-14 relative error 3.422539881044636e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.346533064831891 Order of pole (three term test) -21.352313902699574 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.34602612916265224 Order of pole (three term test) -20.505851124704957 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y1[1] (analytic) 0.9243023786324579 y1[1] (numeric) 0.9243023786324639 absolute error 5.995204332975845e-15 relative error 6.486193773347191e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.38166099205234527 y2[1] (numeric) -0.38166099205233156 absolute error 1.3711254354120683e-14 relative error 3.592521803286663e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33977249283089184 Order of pole (three term test) -21.524194798081965 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33927518693605135 Order of pole (three term test) -20.67063901596768 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y1[1] (analytic) 0.9280727102093271 y1[1] (numeric) 0.928072710209333 absolute error 5.88418203051333e-15 relative error 6.340216629348093e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.3723990394250693 y2[1] (numeric) -0.37239903942505537 absolute error 1.3933298959045715e-14 relative error 3.741497019046217e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33287621461144606 Order of pole (three term test) -21.692653790753326 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.33238875264568685 Order of pole (three term test) -20.832145970896686 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y1[1] (analytic) 0.9317502352885667 y1[1] (numeric) 0.9317502352885726 absolute error 5.88418203051333e-15 relative error 6.315192427819431e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.36309984720418237 y2[1] (numeric) -0.36309984720416816 absolute error 1.4210854715202004e-14 relative error 3.913759486439772e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32584698839169834 Order of pole (three term test) -21.85762369791105 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.32536958055616216 Order of pole (three term test) -20.990307594152913 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y1[1] (analytic) 0.9353345861207334 y1[1] (numeric) 0.9353345861207392 absolute error 5.773159728050814e-15 relative error 6.172293651616997e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.35376434530115725 y2[1] (numeric) -0.35376434530114276 absolute error 1.4488410471358293e-14 relative error 4.095497656504757e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31868762525066124 Order of pole (three term test) -22.019038731976327 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3182204776845612 Order of pole (three term test) -21.145060828108214 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y1[1] (analytic) 0.9388254042737308 y1[1] (numeric) 0.9388254042737366 absolute error 5.773159728050814e-15 relative error 6.149343319609989e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.3443934672584046 y2[1] (numeric) -0.3443934672583899 absolute error 1.4710455076283324e-14 relative error 4.271409441470562e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31140098800466187 Order of pole (three term test) -22.176834526591634 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.3109443026785875 Order of pole (three term test) -21.296343977740186 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y1[1] (analytic) 0.9422223406686528 y1[1] (numeric) 0.9422223406686585 absolute error 5.662137425588298e-15 relative error 6.009343210404175e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.3349881501559197 y2[1] (numeric) -0.3349881501559047 absolute error 1.4988010832439613e-14 relative error 4.4741913483994785e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.303989990063601 Order of pole (three term test) -22.33094816205091 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.30354396467459555 Order of pole (three term test) -21.444096734983198 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y1[1] (analytic) 0.9455250556146907 y1[1] (numeric) 0.9455250556146962 absolute error 5.551115123125783e-15 relative error 5.870933922017513e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.3255493345175751 y2[1] (numeric) -0.32554933451755985 absolute error 1.5265566588595902e-14 relative error 4.689171492614977e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29645759426747487 Order of pole (three term test) -22.48131819015267 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.29602242213596663 Order of pole (three term test) -21.58826020252626 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y1[1] (analytic) 0.948733218843102 y1[1] (numeric) 0.9487332188431075 absolute error 5.440092820663267e-15 relative error 5.734059599280174e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.31607796421706896 y2[1] (numeric) -0.3160779642170534 absolute error 1.554312234475219e-14 relative error 4.917496347223318e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28880681170362577 Order of pole (three term test) -22.627884658466726 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2883826816722911 Order of pole (three term test) -21.728776917048837 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y1[1] (analytic) 0.9518465095402373 y1[1] (numeric) 0.9518465095402427 absolute error 5.440092820663267e-15 relative error 5.715304690554521e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.3065749863835386 y2[1] (numeric) -0.3065749863835227 absolute error 1.587618925213974e-14 relative error 5.178566405374618e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28104070050518926 Order of pole (three term test) -22.770589134005114 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.28062779683982747 Order of pole (three term test) -21.86559087188576 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y1[1] (analytic) 0.9548646163796215 y1[1] (numeric) 0.9548646163796267 absolute error 5.218048215738236e-15 relative error 5.46469952517721e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.2970413513068481 y2[1] (numeric) -0.29704135130683196 absolute error 1.6153745008296028e-14 relative error 5.4382142207564125e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2731623646312139 Order of pole (three term test) -22.909374726288434 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.27276086692371004 Order of pole (three term test) -21.998647539112728 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y1[1] (analytic) 0.9577872375530855 y1[1] (numeric) 0.9577872375530906 absolute error 5.10702591327572e-15 relative error 5.332108962239813e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.28747801234256054 y2[1] (numeric) -0.28747801234254416 absolute error 1.637578961322106e-14 relative error 5.696362473004568e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26517495262893764 Order of pole (three term test) -23.044186109798794 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.26478503570238987 Order of pole (three term test) -22.127893891043996 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y1[1] (analytic) 0.9606140808009476 y1[1] (numeric) 0.9606140808009526 absolute error 4.9960036108132044e-15 relative error 5.200843617290725e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.277885925816603 y2[1] (numeric) -0.27788592581658633 absolute error 1.6653345369377348e-14 relative error 5.9928711108485916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2570816563787056 Order of pole (three term test) -23.174969545810846 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25670349019479094 Order of pole (three term test) -22.253278421134308 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y1[1] (analytic) 0.9633448634412386 y1[1] (numeric) 0.9633448634412435 absolute error 4.884981308350689e-15 relative error 5.070854160057147e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.2682660509296346 y2[1] (numeric) -0.2682660509296177 absolute error 1.6930901125533637e-14 relative error 6.311235084298669e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2488857098220295 Order of pole (three term test) -23.301672903592717 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2485194593906819 Order of pole (three term test) -22.374751164276947 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y1[1] (analytic) 0.9659793123979703 y1[1] (numeric) 0.965979312397975 absolute error 4.6629367034256575e-15 relative error 4.827160005994612e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.25861934966112754 y2[1] (numeric) -0.2586193496611104 absolute error 1.715294573045867e-14 relative error 6.632506714186084e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24059038767328828 Order of pole (three term test) -23.424245680968692 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24023621296476008 Order of pole (three term test) -22.492263716490562 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y1[1] (analytic) 0.9685171642284423 y1[1] (numeric) 0.9685171642284468 absolute error 4.551914400963142e-15 relative error 4.699879949561215e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.24894678667316977 y2[1] (numeric) -0.24894678667315237 absolute error 1.740274591099933e-14 relative error 6.990548519851575e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23219900411557431 Order of pole (three term test) -23.542639024236053 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23185705997495187 Order of pole (three term test) -22.605769253987123 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y1[1] (analytic) 0.9709581651495862 y1[1] (numeric) 0.9709581651495908 absolute error 4.551914400963142e-15 relative error 4.688064392827751e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.23924932921399966 y2[1] (numeric) -0.23924932921398198 absolute error 1.7680301667155618e-14 relative error 7.389906473401746e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22371491148120068 Order of pole (three term test) -23.65680574742846 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.22338534754544137 Order of pole (three term test) -22.715222551614012 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y1[1] (analytic) 0.9733020710633444 y1[1] (numeric) 0.9733020710633489 absolute error 4.440892098500626e-15 relative error 4.562706923708584e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.22952794702128193 y2[1] (numeric) -0.22952794702126397 absolute error 1.7957857423311907e-14 relative error 7.823821742128355e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21514149891738524 Order of pole (three term test) -23.766700350918622 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21482445953494383 Order of pole (three term test) -22.82058000066325 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y1[1] (analytic) 0.9755486475810786 y1[1] (numeric) 0.975548647581083 absolute error 4.3298697960381105e-15 relative error 4.4383945452379416e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.2197836122251347 y2[1] (numeric) -0.2197836122251165 absolute error 1.8207657603852567e-14 relative error 8.284356335540434e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20648219103763824 Order of pole (three term test) -23.87227903935322 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20617781519074646 Order of pole (three term test) -22.921799626041174 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y1[1] (analytic) 0.9776976700470092 y1[1] (numeric) 0.9776976700470135 absolute error 4.218847493575595e-15 relative error 4.315083918909969e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.2100172992509174 y2[1] (numeric) -0.2100172992508989 absolute error 1.8485213360008856e-14 relative error 8.801757486617193e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19774044655937675 Order of pole (three term test) -23.973499738913457 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1974488677890391 Order of pole (three term test) -23.01884110279222 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y1[1] (analytic) 0.9797489235606806 y1[1] (numeric) 0.9797489235606845 absolute error 3.9968028886505635e-15 relative error 4.0794154426065287e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.2002299847217888 y2[1] (numeric) -0.20022998472177006 absolute error 1.8735013540549517e-14 relative error 9.356747225736962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18891975692830262 Order of pole (three term test) -24.070322113894527 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.18864110326206954 Order of pole (three term test) -23.111665771970472 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y1[1] (analytic) 0.9817022029984505 y1[1] (numeric) 0.9817022029984543 absolute error 3.885780586188048e-15 relative error 3.9582070553774456e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.1904226473610458 y2[1] (numeric) -0.1904226473610268 absolute error 1.9012569296705806e-14 relative error 9.984405510683573e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18002364493008138 Order of pole (three term test) -24.162707582598 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17975803881265828 Order of pole (three term test) -23.20023665585322 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y1[1] (analytic) 0.983557313034003 y1[1] (numeric) 0.9835573130340067 absolute error 3.774758283725532e-15 relative error 3.8378630647170365e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.1805962678942517 y2[1] (numeric) -0.18059626789423244 absolute error 1.9262369477246466e-14 relative error 1.0665984243110473e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.171055663289862 Order of pole (three term test) -24.25061933253101 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17080322151661076 Order of pole (three term test) -23.284518472490717 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y1[1] (analytic) 0.9853140681578805 y1[1] (numeric) 0.985314068157884 absolute error 3.552713678800501e-15 relative error 3.605666247557562e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.17075182895116459 y2[1] (numeric) -0.17075182895114505 absolute error 1.9539925233402755e-14 relative error 1.1443464678197514e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16201939326018772 Order of pole (three term test) -24.334022334906496 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16178022691357544 Order of pole (three term test) -23.36447764958668 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y1[1] (analytic) 0.9869722926960345 y1[1] (numeric) 0.9869722926960379 absolute error 3.4416913763379853e-15 relative error 3.4871205623580253e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.16089031496747505 y2[1] (numeric) -0.16089031496745526 absolute error 1.9789725413943415e-14 relative error 1.2300134671216243e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1529184431978424 Order of pole (three term test) -24.412883358439235 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.15269265758688924 Order of pole (three term test) -23.440082337704478 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y1[1] (analytic) 0.988531820827393 y1[1] (numeric) 0.9885318208273963 absolute error 3.3306690738754696e-15 relative error 3.3693089121680746e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.1510127120863636 y2[1] (numeric) -0.15101271208634354 absolute error 2.0067281170099704e-14 relative error 1.3288471475582334e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1437564471301968 Order of pole (three term test) -24.487170982432286 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1435441417329728 Order of pole (three term test) -23.511302422793975 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y1[1] (analytic) 0.9899924966004426 y1[1] (numeric) 0.9899924966004457 absolute error 3.1086244689504383e-15 relative error 3.140048515140482e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.141120008059887 y2[1] (numeric) -0.1411200080598667 absolute error 2.0317081350640365e-14 relative error 1.439702394434276e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13453706331159918 Order of pole (three term test) -24.55685560914913 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1343383317208175 Order of pole (three term test) -23.578109538034365 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y1[1] (analytic) 0.9913541739488232 y1[1] (numeric) 0.9913541739488262 absolute error 2.9976021664879227e-15 relative error 3.023744939255855e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.13121319215020405 y2[1] (numeric) -0.13121319215018348 absolute error 2.0566881531181025e-14 relative error 1.567440071699303e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12526397277038606 Order of pole (three term test) -24.621909475466662 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.12507890264213772 Order of pole (three term test) -23.64047707498861 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y1[1] (analytic) 0.9926167167059347 y1[1] (numeric) 0.9926167167059374 absolute error 2.7755575615628914e-15 relative error 2.7962027183803287e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.12129325503065003 y2[1] (numeric) -0.12129325503062921 absolute error 2.0816681711721685e-14 relative error 1.7162274774851612e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11594087784706744 Order of pole (three term test) -24.682306663804876 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11576955085273982 Order of pole (three term test) -23.698380194065333 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y1[1] (analytic) 0.9937799986185533 y1[1] (numeric) 0.9937799986185559 absolute error 2.6645352591003757e-15 relative error 2.68121240395694e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.11136118868667032 y2[1] (numeric) -0.11136118868664925 absolute error 2.1066481892262345e-14 relative error 1.8917256667882494e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.10657150072425829 Order of pole (three term test) -24.738023112328985 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10641399250567764 Order of pole (three term test) -23.751795834284252 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y1[1] (analytic) 0.9948439033594574 y1[1] (numeric) 0.9948439033594598 absolute error 2.4424906541753444e-15 relative error 2.4551496430016546e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.10141798631662263 y2[1] (numeric) -0.10141798631660132 absolute error 2.1316282072803006e-14 relative error 2.1018246217445573e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09715958194892879 Order of pole (three term test) -24.78903662442029 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09701596207676345 Order of pole (three term test) -23.8007027223415 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y1[1] (analytic) 0.9958083245390593 y1[1] (numeric) 0.9958083245390615 absolute error 2.220446049250313e-15 relative error 2.229792616242805e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.09146464223245798 y2[1] (numeric) -0.09146464223243642 absolute error 2.1566082253343666e-14 relative error 2.3578600131112225e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08770887894754278 Order of pole (three term test) -24.83532687741209 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08757921088300245 Order of pole (three term test) -23.845081380971468 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y1[1] (analytic) 0.9966731657160448 y1[1] (numeric) 0.9966731657160469 absolute error 2.1094237467877974e-15 relative error 2.1164648746937155e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.08150215176029037 y2[1] (numeric) -0.08150215176026855 absolute error 2.1815882433884326e-14 relative error 2.6767247198635927e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07822316453466309 Order of pole (three term test) -24.876875430587592 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0781075055945255 Order of pole (three term test) -23.884914136602127 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y1[1] (analytic) 0.997438340407017 y1[1] (numeric) 0.9974383404070188 absolute error 1.887379141862766e-15 relative error 1.892226381725609e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.07153151114086496 y2[1] (numeric) -0.0715315111408429 absolute error 2.2065682614424986e-14 relative error 3.0847499601919026e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06870622541560192 Order of pole (three term test) -24.91366573243659 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06860462674059674 Order of pole (three term test) -23.92018512630088 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y1[1] (analytic) 0.9981037720951443 y1[1] (numeric) 0.9981037720951459 absolute error 1.5543122344752192e-15 relative error 1.557265164134711e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.061553717429934866 y2[1] (numeric) -0.06155371742991256 absolute error 2.230854390106174e-14 relative error 3.624239904999243e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0591618606836951 Order of pole (three term test) -24.945683127168408 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05907436721027059 Order of pole (three term test) -23.95088030400841 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y1[1] (analytic) 0.9986693942378124 y1[1] (numeric) 0.9986693942378139 absolute error 1.4432899320127035e-15 relative error 1.4452129406791593e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.05156976839855636 y2[1] (numeric) -0.05156976839853382 absolute error 2.2544466293794585e-14 relative error 4.3716438901877423e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04959388031278187 Order of pole (three term test) -24.972914860478493 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04952053074827906 Order of pole (three term test) -23.976987446058224 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y1[1] (analytic) 0.9991351502732786 y1[1] (numeric) 0.9991351502732797 absolute error 1.1102230246251565e-15 relative error 1.1111840318314231e-13% Correct digits 15 h 0.01 y2[1] (analytic) -0.041580662433312675 y2[1] (numeric) -0.04158066243328989 absolute error 2.2787327580431338e-14 relative error 5.480270454319432e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04000610364547767 Order of pole (three term test) -24.995350084566624 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0399469304467319 Order of pole (three term test) -23.998496155979776 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y1[1] (analytic) 0.9995009936263272 y1[1] (numeric) 0.9995009936263282 absolute error 9.992007221626409e-16 relative error 9.996995786241324e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.031587398436476094 y2[1] (numeric) -0.031587398436453064 absolute error 2.303018886706809e-14 relative error 7.290941960093042e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030402357877819974 Order of pole (three term test) -25.012979862404872 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.030357387233208282 Order of pole (three term test) -24.01539786858352 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y1[1] (analytic) 0.9997668877129279 y1[1] (numeric) 0.9997668877129287 absolute error 7.771561172376096e-16 relative error 7.773373241190616e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.0215909757261186 y2[1] (numeric) -0.021590975726095342 absolute error 2.325917236589703e-14 relative error 1.0772636059129282e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020786476540877806 Order of pole (three term test) -25.025797171253583 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.020755728355827098 Order of pole (three term test) -24.0276858533262 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y1[1] (analytic) 0.9999328059438936 y1[1] (numeric) 0.9999328059438941 absolute error 5.551115123125783e-16 relative error 5.551488150132017e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.011592393936180922 y2[1] (numeric) -0.011592393936157429 absolute error 2.34933600351539e-14 relative error 2.026618502139491e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011162297979909927 Order of pole (three term test) -25.033796905424243 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.011145785865878046 Order of pole (three term test) -24.035355216955274 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y1[1] (analytic) 0.9999987317275395 y1[1] (numeric) 0.9999987317275397 absolute error 2.220446049250313e-16 relative error 2.220448865384459e-14% Correct digits 16 h 0.01 y2[1] (analytic) -0.0015926529165099209 y2[1] (numeric) -0.0015926529164861977 absolute error 2.3723210895720825e-14 relative error 1.489540542688169e-09% Correct digits 11 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0015336638316614454 Order of pole (three term test) -25.03697587828805 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.0015313950986004209 Order of pole (three term test) -24.03840290543138 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y1[1] (analytic) 0.9999646584713422 y1[1] (numeric) 0.9999646584713421 absolute error 1.1102230246251565e-16 relative error 1.1102622629907417e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.008407247367125526 y2[1] (numeric) 0.008407247367149475 absolute error 2.39495923093358e-14 relative error 2.8486841487482327e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y1[1] (analytic) 0.9998305895825987 y1[1] (numeric) 0.9998305895825985 absolute error 2.220446049250313e-16 relative error 2.2208222796796877e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.018406306933030275 y2[1] (numeric) 0.01840630693305445 absolute error 2.4175106361212784e-14 relative error 1.313414279636419e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y1[1] (analytic) 0.9995965384680865 y1[1] (numeric) 0.999596538468086 absolute error 4.440892098500626e-16 relative error 4.4426845508153063e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.02840352588358026 y2[1] (numeric) 0.028403525883604657 absolute error 2.4397150966137815e-14 relative error 8.589479723797783e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y1[1] (analytic) 0.9992625285327218 y1[1] (numeric) 0.9992625285327211 absolute error 6.661338147750939e-16 relative error 6.666254320105637e-14% Correct digits 16 h 0.01 y2[1] (analytic) 0.03839790450521142 y2[1] (numeric) 0.03839790450523603 absolute error 2.461225667715894e-14 relative error 6.409791626472358e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y1[1] (analytic) 0.9988285931772198 y1[1] (numeric) 0.9988285931772188 absolute error 9.992007221626409e-16 relative error 1.0003725654110856e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.0483884433683902 y2[1] (numeric) 0.048388443368415024 absolute error 2.4827362388180063e-14 relative error 5.1308454374456205e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y1[1] (analytic) 0.9982947757947545 y1[1] (numeric) 0.9982947757947532 absolute error 1.2212453270876722e-15 relative error 1.223331381370221e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.0583741434275557 y2[1] (numeric) 0.058374143427580745 absolute error 2.5042468099201187e-14 relative error 4.289993245087997e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y1[1] (analytic) 0.9976611297666192 y1[1] (numeric) 0.9976611297666177 absolute error 1.5543122344752192e-15 relative error 1.5579560916027831e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.06835400612102341 y2[1] (numeric) 0.06835400612104867 absolute error 2.525757381022231e-14 relative error 3.695112436497548e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y1[1] (analytic) 0.9969277184568889 y1[1] (numeric) 0.996927718456887 absolute error 1.887379141862766e-15 relative error 1.8931955716751232e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.07832703347084051 y2[1] (numeric) 0.07832703347086596 absolute error 2.5451862839531714e-14 relative error 3.249435311373933e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y1[1] (analytic) 0.9960946152060831 y1[1] (numeric) 0.996094615206081 absolute error 2.1094237467877974e-15 relative error 2.1176941573480712e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.08829222818258282 y2[1] (numeric) 0.08829222818260848 absolute error 2.566002965664893e-14 relative error 2.906261421286774e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y1[1] (analytic) 0.9951619033238328 y1[1] (numeric) 0.9951619033238305 absolute error 2.3314683517128287e-15 relative error 2.3428030594074624e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.09824859374508349 y2[1] (numeric) 0.09824859374510936 absolute error 2.5868196473766147e-14 relative error 2.6329330006375416e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y1[1] (analytic) 0.9941296760805489 y1[1] (numeric) 0.9941296760805464 absolute error 2.55351295663786e-15 relative error 2.568591420291695e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.10819513453008321 y2[1] (numeric) 0.10819513453010927 absolute error 2.606248550307555e-14 relative error 2.408840805667558e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y1[1] (analytic) 0.9929980366980957 y1[1] (numeric) 0.9929980366980928 absolute error 2.886579864025407e-15 relative error 2.9069341099845726e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.11813085589179223 y2[1] (numeric) 0.11813085589181849 absolute error 2.6256774532384952e-14 relative error 2.2226855408917157e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y1[1] (analytic) 0.9917670983394682 y1[1] (numeric) 0.9917670983394651 absolute error 3.1086244689504383e-15 relative error 3.1344299222622516e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.12805476426635412 y2[1] (numeric) 0.12805476426638057 absolute error 2.6451063561694355e-14 relative error 2.065605580021693e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y1[1] (analytic) 0.9904369840974767 y1[1] (numeric) 0.9904369840974732 absolute error 3.552713678800501e-15 relative error 3.5870163734221486e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.13796586727120133 y2[1] (numeric) 0.13796586727122798 absolute error 2.6645352591003757e-14 relative error 1.9313003366714344e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y1[1] (analytic) 0.9890078269824367 y1[1] (numeric) 0.989007826982433 absolute error 3.774758283725532e-15 relative error 3.816712245081723e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.1478631738042926 y2[1] (numeric) 0.14786317380431943 absolute error 2.683964162031316e-14 relative error 1.81516742335298e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y1[1] (analytic) 0.9874797699088691 y1[1] (numeric) 0.9874797699088649 absolute error 4.218847493575595e-15 relative error 4.272338150243763e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.15774569414322234 y2[1] (numeric) 0.15774569414324935 absolute error 2.7006175074006933e-14 relative error 1.7120071150396768e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y1[1] (analytic) 0.9858529656812075 y1[1] (numeric) 0.9858529656812031 absolute error 4.440892098500626e-15 relative error 4.5046190994942597e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.16761244004419204 y2[1] (numeric) 0.16761244004421924 absolute error 2.7200464103316335e-14 relative error 1.6228189325413296e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y1[1] (analytic) 0.9841275769785193 y1[1] (numeric) 0.9841275769785145 absolute error 4.773959005888173e-15 relative error 4.850955422411027e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.1774624248408339 y2[1] (numeric) 0.17746242484086128 absolute error 2.736699755701011e-14 relative error 1.5421291341846352e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y1[1] (analytic) 0.9823037763382367 y1[1] (numeric) 0.9823037763382316 absolute error 5.10702591327572e-15 relative error 5.199029094964222e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.18729466354287658 y2[1] (numeric) 0.18729466354290408 absolute error 2.7505775435088253e-14 relative error 1.4685829758727468e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y1[1] (analytic) 0.9803817461389042 y1[1] (numeric) 0.9803817461388987 absolute error 5.440092820663267e-15 relative error 5.54895360107255e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.1971081729346433 y2[1] (numeric) 0.19710817293467098 absolute error 2.7672308888782027e-14 relative error 1.4039148390847066e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y1[1] (analytic) 0.9783616785819398 y1[1] (numeric) 0.978361678581934 absolute error 5.773159728050814e-15 relative error 5.900844089088368e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.20690197167337282 y2[1] (numeric) 0.20690197167340066 absolute error 2.78388423424758e-14 relative error 1.3455087990376318e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y1[1] (analytic) 0.9762437756724158 y1[1] (numeric) 0.9762437756724098 absolute error 5.995204332975845e-15 relative error 6.141093528454485e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.21667508038735275 y2[1] (numeric) 0.21667508038738076 absolute error 2.8005375796169574e-14 relative error 1.2925056146790859e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y1[1] (analytic) 0.9740282491988584 y1[1] (numeric) 0.9740282491988521 absolute error 6.328271240363392e-15 relative error 6.497009964103625e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.2264265217738559 y2[1] (numeric) 0.22642652177388406 absolute error 2.8171909249863347e-14 relative error 1.2441965291504199e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y1[1] (analytic) 0.9717153207120687 y1[1] (numeric) 0.971715320712062 absolute error 6.661338147750939e-15 relative error 6.855236308170525e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.2361553206968698 y2[1] (numeric) 0.23615532069689812 absolute error 2.8310687127941492e-14 relative error 1.1988163994950271e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y1[1] (analytic) 0.9693052215029678 y1[1] (numeric) 0.9693052215029608 absolute error 6.994405055138486e-15 relative error 7.215895365025711e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.24586050428460948 y2[1] (numeric) 0.24586050428463793 absolute error 2.8449465006019636e-14 relative error 1.1571384793503222e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y1[1] (analytic) 0.9667981925794683 y1[1] (numeric) 0.966798192579461 absolute error 7.327471962526033e-15 relative error 7.579112185735426e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.25554110202680375 y2[1] (numeric) 0.25554110202683233 absolute error 2.858824288409778e-14 relative error 1.118733646264825e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y1[1] (analytic) 0.9641944846423733 y1[1] (numeric) 0.9641944846423657 absolute error 7.66053886991358e-15 relative error 7.945014197789079e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.26519614587174556 y2[1] (numeric) 0.2651961458717743 absolute error 2.8754776337791554e-14 relative error 1.0842833421756427e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y1[1] (analytic) 0.9614943580603068 y1[1] (numeric) 0.9614943580602988 absolute error 7.993605777301127e-15 relative error 8.313731339440426e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.27482467032309627 y2[1] (numeric) 0.27482467032312513 absolute error 2.886579864025407e-14 relative error 1.0503350593059253e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y1[1] (analytic) 0.9586980828436769 y1[1] (numeric) 0.9586980828436685 absolute error 8.326672684688674e-15 relative error 8.685396198968307e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.28442571253643445 y2[1] (numeric) 0.2844257125364634 absolute error 2.8976820942716586e-14 relative error 1.0187834526038044e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y1[1] (analytic) 0.955805938617675 y1[1] (numeric) 0.9558059386176663 absolute error 8.770761894538737e-15 relative error 9.17629985352818e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.2939983124155396 y2[1] (numeric) 0.29399831241556873 absolute error 2.914335439641036e-14 relative error 9.912762477091674e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y1[1] (analytic) 0.9528182145943137 y1[1] (numeric) 0.9528182145943046 absolute error 9.103828801926284e-15 relative error 9.554633467835695e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.30354151270840096 y2[1] (numeric) 0.30354151270843027 absolute error 2.930988785010413e-14 relative error 9.65597344118821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y1[1] (analytic) 0.9497352095435054 y1[1] (numeric) 0.949735209543496 absolute error 9.43689570931383e-15 relative error 9.936343956174604e-13% Correct digits 15 h 0.01 y2[1] (analytic) 0.31305435910294194 y2[1] (numeric) 0.31305435910297136 absolute error 2.942091015256665e-14 relative error 9.39801964006262e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y1[1] (analytic) 0.9465572317631863 y1[1] (numeric) 0.9465572317631764 absolute error 9.880984919163893e-15 relative error 1.043886686149788e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3225359003224504 y2[1] (numeric) 0.3225359003224799 absolute error 2.9531932455029164e-14 relative error 9.156169104123002e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y1[1] (analytic) 0.9432845990484858 y1[1] (numeric) 0.9432845990484756 absolute error 1.021405182655144e-14 relative error 1.0828176180184224e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3319851882207056 y2[1] (numeric) 0.33198518822073525 absolute error 2.964295475749168e-14 relative error 8.928999187091708e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y1[1] (analytic) 0.9399176386599484 y1[1] (numeric) 0.9399176386599378 absolute error 1.0547118733938987e-14 relative error 1.1221322273487855e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.34140127787679214 y2[1] (numeric) 0.3414012778768219 absolute error 2.9753977059954195e-14 relative error 8.715250641414432e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y1[1] (analytic) 0.9364566872908071 y1[1] (numeric) 0.9364566872907961 absolute error 1.099120794378905e-14 relative error 1.1737016877509725e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.35078322768959114 y2[1] (numeric) 0.350783227689621 absolute error 2.986499936241671e-14 relative error 8.51380482445538e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y1[1] (analytic) 0.9329020910333147 y1[1] (numeric) 0.9329020910333033 absolute error 1.1324274851176597e-14 relative error 1.2138760283657888e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3601300994719396 y2[1] (numeric) 0.3601300994719695 absolute error 2.992051051364797e-14 relative error 8.308250423255527e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y1[1] (analytic) 0.9292542053441347 y1[1] (numeric) 0.9292542053441231 absolute error 1.1657341758564144e-14 relative error 1.2544836161647534e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3694409585444482 y2[1] (numeric) 0.3694409585444782 absolute error 3.0031532816110484e-14 relative error 8.128912650733428e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y1[1] (analytic) 0.9255133950087963 y1[1] (numeric) 0.9255133950087843 absolute error 1.199040866595169e-14 relative error 1.2955413428497954e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.37871487382896885 y2[1] (numeric) 0.37871487382899893 absolute error 3.008704396734174e-14 relative error 7.944510777501e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y1[1] (analytic) 0.9216800341052156 y1[1] (numeric) 0.9216800341052032 absolute error 1.2434497875801753e-14 relative error 1.3491122098433432e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.3879509179417013 y2[1] (numeric) 0.3879509179417314 absolute error 3.0142555118573e-14 relative error 7.769682638849336e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y1[1] (analytic) 0.9177545059662885 y1[1] (numeric) 0.9177545059662757 absolute error 1.27675647831893e-14 relative error 1.3911742955428525e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.39714816728593083 y2[1] (numeric) 0.3971481672859611 absolute error 3.0253577421035516e-14 relative error 7.61770540898761e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y1[1] (analytic) 0.9137372031415577 y1[1] (numeric) 0.9137372031415445 absolute error 1.3211653993039363e-14 relative error 1.445892095409471e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.40630570214438755 y2[1] (numeric) 0.40630570214441786 absolute error 3.0309088572266774e-14 relative error 7.459675907156215e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y1[1] (analytic) 0.9096285273579579 y1[1] (numeric) 0.9096285273579442 absolute error 1.3655743202889425e-14 relative error 1.5012439465319896e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4154226067712168 y2[1] (numeric) 0.41542260677124715 absolute error 3.036459972349803e-14 relative error 7.309327713169098e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y1[1] (analytic) 0.9054288894796434 y1[1] (numeric) 0.9054288894796294 absolute error 1.3988810110276972e-14 relative error 1.5449926849933455e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.42449796948355323 y2[1] (numeric) 0.4244979694835837 absolute error 3.047562202596055e-14 relative error 7.179215029706119e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y1[1] (analytic) 0.9011387094669026 y1[1] (numeric) 0.9011387094668882 absolute error 1.432187701766452e-14 relative error 1.589308823070877e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4335308827526885 y2[1] (numeric) 0.433530882752719 absolute error 3.0531133177191805e-14 relative error 7.042435589210045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y1[1] (analytic) 0.8967584163341615 y1[1] (numeric) 0.8967584163341468 absolute error 1.4765966227514582e-14 relative error 1.6465935483355753e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.442520443294823 y2[1] (numeric) 0.44252044329485357 absolute error 3.058664432842306e-14 relative error 6.9119166790776135e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y1[1] (analytic) 0.8922884481070832 y1[1] (numeric) 0.8922884481070681 absolute error 1.509903313490213e-14 relative error 1.6921695183809104e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.45146575216139384 y2[1] (numeric) 0.4514657521614245 absolute error 3.064215547965432e-14 relative error 6.787260236896131e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y1[1] (analytic) 0.8877292517787654 y1[1] (numeric) 0.88772925177875 absolute error 1.5432100042289676e-14 relative error 1.7383791298268012e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4603659148289687 y2[1] (numeric) 0.4603659148289994 absolute error 3.069766663088558e-14 relative error 6.6681015344696225e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y1[1] (analytic) 0.8830812832650416 y1[1] (numeric) 0.8830812832650258 absolute error 1.587618925213974e-14 relative error 1.7978174323251707e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4692200412886977 y2[1] (numeric) 0.46922004128872846 absolute error 3.0753177782116836e-14 relative error 6.554105766167665e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y1[1] (analytic) 0.8783450073588901 y1[1] (numeric) 0.8783450073588738 absolute error 1.63202784619898e-14 relative error 1.858071523747088e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4780272461353132 y2[1] (numeric) 0.47802724613534403 absolute error 3.0808688933348094e-14 relative error 6.444965048002139e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y1[1] (analytic) 0.8735208976839544 y1[1] (numeric) 0.8735208976839376 absolute error 1.6764367671839864e-14 relative error 1.9191719071963547e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4867866486556699 y2[1] (numeric) 0.48678664865570076 absolute error 3.086420008457935e-14 relative error 6.340395770881392e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y1[1] (analytic) 0.8686094366471818 y1[1] (numeric) 0.8686094366471647 absolute error 1.709743457922741e-14 relative error 1.968368504632327e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.4954973729168152 y2[1] (numeric) 0.4954973729168461 absolute error 3.086420008457935e-14 relative error 6.228933143054398e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y1[1] (analytic) 0.8636111153905833 y1[1] (numeric) 0.8636111153905659 absolute error 1.7430501486614958e-14 relative error 2.0183275986126818e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5041585478535819 y2[1] (numeric) 0.5041585478536128 absolute error 3.086420008457935e-14 relative error 6.1219233941349245e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y1[1] (analytic) 0.8585264337421193 y1[1] (numeric) 0.8585264337421015 absolute error 1.787459069646502e-14 relative error 2.0820081938017665e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.512769307355694 y2[1] (numeric) 0.5127693073557249 absolute error 3.086420008457935e-14 relative error 6.019120029578857e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y1[1] (analytic) 0.8533559001657175 y1[1] (numeric) 0.8533559001656992 absolute error 1.8318679906315083e-14 relative error 2.1466635319164825e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.521328790354377 y2[1] (numeric) 0.5213287903544078 absolute error 3.086420008457935e-14 relative error 5.920294573334266e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y1[1] (analytic) 0.8481000317104267 y1[1] (numeric) 0.8481000317104078 absolute error 1.887379141862766e-14 relative error 2.2254204354365457e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5298361409084636 y2[1] (numeric) 0.5298361409084945 absolute error 3.086420008457935e-14 relative error 5.825234955029533e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y1[1] (analytic) 0.8427593539587124 y1[1] (numeric) 0.8427593539586932 absolute error 1.9206858326015208e-14 relative error 2.2790442177585337e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.538290508289988 y2[1] (numeric) 0.538290508290019 absolute error 3.097522238704187e-14 relative error 5.754369046082991e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y1[1] (analytic) 0.8373344009738994 y1[1] (numeric) 0.8373344009738798 absolute error 1.965094753586527e-14 relative error 2.3468458375780755e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5466910470692574 y2[1] (numeric) 0.5466910470692884 absolute error 3.097522238704187e-14 relative error 5.6659465255734794e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y1[1] (analytic) 0.8318257152467654 y1[1] (numeric) 0.8318257152467453 absolute error 2.0095036745715333e-14 relative error 2.4157748885839668e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5550369171993943 y2[1] (numeric) 0.5550369171994252 absolute error 3.086420008457935e-14 relative error 5.560747245483049e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y1[1] (analytic) 0.8262338476412924 y1[1] (numeric) 0.826233847641272 absolute error 2.042810365310288e-14 relative error 2.472436067757381e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5633272841003404 y2[1] (numeric) 0.5633272841003713 absolute error 3.086420008457935e-14 relative error 5.478910920118293e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y1[1] (analytic) 0.8205593573395813 y1[1] (numeric) 0.8205593573395604 absolute error 2.0872192862952943e-14 relative error 2.5436542373515546e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5715613187423143 y2[1] (numeric) 0.5715613187423452 absolute error 3.086420008457935e-14 relative error 5.39998055720323e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y1[1] (analytic) 0.8148028117859334 y1[1] (numeric) 0.8148028117859121 absolute error 2.1316282072803006e-14 relative error 2.6161277016313564e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5797381977287135 y2[1] (numeric) 0.5797381977287444 absolute error 3.086420008457935e-14 relative error 5.32381688933013e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y1[1] (analytic) 0.808964786630107 y1[1] (numeric) 0.8089647866300852 absolute error 2.1760371282653068e-14 relative error 2.689903397810421e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5878571033784533 y2[1] (numeric) 0.5878571033784842 absolute error 3.086420008457935e-14 relative error 5.250289552886368e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.533564701309858 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.806886466244368 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y1[1] (analytic) 0.8030458656697526 y1[1] (numeric) 0.8030458656697304 absolute error 2.220446049250313e-14 relative error 2.765030173461421e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.5959172238077346 y2[1] (numeric) 0.5959172238077655 absolute error 3.086420008457935e-14 relative error 5.179276391336074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.841424363993873 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.099353145794183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y1[1] (analytic) 0.7970466407920339 y1[1] (numeric) 0.7970466407920113 absolute error 2.2648549702353193e-14 relative error 2.8415588929459742e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6039177530112312 y2[1] (numeric) 0.603917753011262 absolute error 3.086420008457935e-14 relative error 5.110662822989634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.153887416454292 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.396193045631577 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y1[1] (analytic) 0.7909677119144394 y1[1] (numeric) 0.7909677119144163 absolute error 2.3092638912203256e-14 relative error 2.9195425507711793e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6118578909426898 y2[1] (numeric) 0.6118578909427206 absolute error 3.0753177782116836e-14 relative error 5.026196153936234e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.471121810062542 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.697565719559414 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y1[1] (analytic) 0.7848096869247909 y1[1] (numeric) 0.7848096869247674 absolute error 2.353672812205332e-14 relative error 2.9990363924125296e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.619736843594934 y2[1] (numeric) 0.6197368435949647 absolute error 3.0753177782116836e-14 relative error 4.9622961907066175e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.79330260367627 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.003637473492457 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y1[1] (analytic) 0.778573181620456 y1[1] (numeric) 0.7785731816204319 absolute error 2.4091839634365897e-14 relative error 3.0943577563541543e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6275538230792643 y2[1] (numeric) 0.627553823079295 absolute error 3.064215547965432e-14 relative error 4.882793212747906e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.120612368722373 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.314581750286257 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y1[1] (analytic) 0.7722588196467677 y1[1] (numeric) 0.7722588196467433 absolute error 2.4424906541753444e-14 relative error 3.1627876458472088e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6353080477042465 y2[1] (numeric) 0.6353080477042771 absolute error 3.0531133177191805e-14 relative error 4.805721143863881e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.453241621633712 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.630579540552029 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y1[1] (analytic) 0.7658672324346617 y1[1] (numeric) 0.7658672324346367 absolute error 2.4980018054066022e-14 relative error 3.2616642932555725e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6429987420538799 y2[1] (numeric) 0.6429987420539104 absolute error 3.0531133177191805e-14 relative error 4.748241509721874e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.791389285839074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.951819821547122 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y1[1] (analytic) 0.7593990591375327 y1[1] (numeric) 0.7593990591375074 absolute error 2.531308496145357e-14 relative error 3.333304756816822e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6506251370651384 y2[1] (numeric) 0.6506251370651688 absolute error 3.042011087472929e-14 relative error 4.675520379054112e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.135263185712127 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.27850002642652 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y1[1] (analytic) 0.7528549465673204 y1[1] (numeric) 0.7528549465672947 absolute error 2.5757174171303632e-14 relative error 3.4212665120611545e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6581864701048762 y2[1] (numeric) 0.6581864701049065 absolute error 3.0309088572266774e-14 relative error 4.604939473677921e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.485080575108434 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.610826546353014 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y1[1] (analytic) 0.7462355491298286 y1[1] (numeric) 0.7462355491298023 absolute error 2.631228568361621e-14 relative error 3.5260027097742097e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6656819850460903 y2[1] (numeric) 0.6656819850461206 absolute error 3.0309088572266774e-14 relative error 4.5530882993879184e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.84106870337074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.949015268202203 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y1[1] (analytic) 0.7395415287592845 y1[1] (numeric) 0.7395415287592578 absolute error 2.6645352591003757e-14 relative error 3.602955554870081e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.673110932343533 y2[1] (numeric) 0.6731109323435632 absolute error 3.019806626980426e-14 relative error 4.486343159613427e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.203465421958178 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.29329215086027 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y1[1] (analytic) 0.7327735548521471 y1[1] (numeric) 0.7327735548521199 absolute error 2.7200464103316335e-14 relative error 3.711987683398948e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6804725691086654 y2[1] (numeric) 0.6804725691086955 absolute error 3.008704396734174e-14 relative error 4.421492552852209e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.572519835162957 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.64389384340481 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y1[1] (analytic) 0.7259323042001671 y1[1] (numeric) 0.7259323042001394 absolute error 2.7644553313166398e-14 relative error 3.808144802651425e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6877661591839453 y2[1] (numeric) 0.6877661591839753 absolute error 2.9976021664879227e-14 relative error 4.3584612683541526e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.948492998717875 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.001068348781985 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y1[1] (analytic) 0.7190184609227086 y1[1] (numeric) 0.7190184609226805 absolute error 2.808864252301646e-14 relative error 3.906525916868756e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.6949909732164435 y2[1] (numeric) 0.6949909732164734 absolute error 2.986499936241671e-14 relative error 4.2971780229317804e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.331658670477662 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.36507573695378 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y1[1] (analytic) 0.7120327163983379 y1[1] (numeric) 0.7120327163983093 absolute error 2.853273173286652e-14 relative error 4.00722201041451e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7021462887307773 y2[1] (numeric) 0.7021462887308071 absolute error 2.9753977059954195e-14 relative error 4.237575208684569e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.267525626350757 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 18.253445330227034 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y1[1] (analytic) 0.704975769195686 y1[1] (numeric) 0.704975769195657 absolute error 2.90878432451791e-14 relative error 4.126077025082112e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.709231390201358 y2[1] (numeric) 0.7092313902013876 absolute error 2.964295475749168e-14 relative error 4.179588659926029e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.885993767018828 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.89199409507047 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y1[1] (analytic) 0.6978483250035924 y1[1] (numeric) 0.6978483250035629 absolute error 2.9531932455029164e-14 relative error 4.231855461554219e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7162455691239427 y2[1] (numeric) 0.7162455691239722 absolute error 2.9531932455029164e-14 relative error 4.12315743763e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.511972355074697 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.537658020597082 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y1[1] (analytic) 0.6906510965605368 y1[1] (numeric) 0.6906510965605068 absolute error 2.9976021664879227e-14 relative error 4.340255421899815e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7231881240864843 y2[1] (numeric) 0.7231881240865137 absolute error 2.942091015256665e-14 relative error 4.068223629879226e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.145169144232018 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 17.190160241904017 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y1[1] (analytic) 0.6833848035833657 y1[1] (numeric) 0.6833848035833353 absolute error 3.042011087472929e-14 relative error 4.451388253765634e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.730058360839272 y2[1] (numeric) 0.7300583608393013 absolute error 2.930988785010413e-14 relative error 4.0147321669475315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.78530589411532 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.849237162846094 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y1[1] (analytic) 0.6760501726953219 y1[1] (numeric) 0.676050172695291 absolute error 3.086420008457935e-14 relative error 4.565371229997309e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7368555923643557 y2[1] (numeric) 0.7368555923643849 absolute error 2.919886554764162e-14 relative error 3.962630649779142e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.43211751979018 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.514637650327536 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y1[1] (analytic) 0.6686479373533817 y1[1] (numeric) 0.6686479373533504 absolute error 3.1308289294429414e-14 relative error 4.6823279554787475e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7435791389442473 y2[1] (numeric) 0.7435791389442763 absolute error 2.8976820942716586e-14 relative error 3.896938392308668e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.085351302016193 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 16.186122286120604 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y1[1] (analytic) 0.6611788377749109 y1[1] (numeric) 0.6611788377748792 absolute error 3.175237850427948e-14 relative error 4.802388807714552e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7502283282298917 y2[1] (numeric) 0.7502283282299205 absolute error 2.8754776337791554e-14 relative error 3.832803328772765e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.744766153208726 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.8634626714609 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y1[1] (analytic) 0.6536436208636431 y1[1] (numeric) 0.653643620863611 absolute error 3.2085445411667024e-14 relative error 4.908706271664263e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7568024953079012 y2[1] (numeric) 0.7568024953079299 absolute error 2.864375403532904e-14 relative error 3.7848387410080454e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.41013193456168 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.546440780111066 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y1[1] (analytic) 0.6460430401349899 y1[1] (numeric) 0.6460430401349577 absolute error 3.219646771412954e-14 relative error 4.983641292289462e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7633009827670469 y2[1] (numeric) 0.7633009827670751 absolute error 2.8199664825478976e-14 relative error 3.6944358073865174e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.081228820204394 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 15.23484835598311 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y1[1] (analytic) 0.6383778556406909 y1[1] (numeric) 0.6383778556406583 absolute error 3.26405569239796e-14 relative error 5.113046550028083e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7697231407639977 y2[1] (numeric) 0.7697231407640257 absolute error 2.7977620220553945e-14 relative error 3.6347640780014007e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.757846704638679 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.928486351762956 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y1[1] (analytic) 0.6306488338928077 y1[1] (numeric) 0.6306488338927746 absolute error 3.3084646133829665e-14 relative error 5.246128170824956e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.776068327088306 y2[1] (numeric) 0.7760683270883337 absolute error 2.7755575615628914e-14 relative error 3.5764345286147346e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.43978465004266 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.627164405303574 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y1[1] (analytic) 0.6228567477870741 y1[1] (numeric) 0.6228567477870406 absolute error 3.352873534367973e-14 relative error 5.383057253983808e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7823359072266267 y2[1] (numeric) 0.7823359072266544 absolute error 2.7644553313166398e-14 relative error 3.533591269147555e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.126850370329768 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.330700350838729 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y1[1] (analytic) 0.6150023765256074 y1[1] (numeric) 0.6150023765255734 absolute error 3.397282455352979e-14 relative error 5.5240151664869594e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7885252544261693 y2[1] (numeric) 0.7885252544261967 absolute error 2.7422508708241367e-14 relative error 3.4776956799180075e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.81885974912628 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.038919762330162 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y1[1] (analytic) 0.6070865055389884 y1[1] (numeric) 0.6070865055389539 absolute error 3.441691376337985e-14 relative error 5.669194332169112e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.7946357497573715 y2[1] (numeric) 0.7946357497573986 absolute error 2.708944180085382e-14 relative error 3.4090388972715007e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.51563638907721 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.751655526494197 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y1[1] (analytic) 0.5991099264077191 y1[1] (numeric) 0.5991099264076843 absolute error 3.47499806707674e-14 relative error 5.800267887252231e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8006667821757921 y2[1] (numeric) 0.8006667821758191 absolute error 2.6978419498391304e-14 relative error 3.3694940390905337e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.217011190113805 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.468747443265707 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y1[1] (analytic) 0.5910734367830658 y1[1] (numeric) 0.5910734367830306 absolute error 3.519406988061746e-14 relative error 5.954263495947678e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8066177485832153 y2[1] (numeric) 0.8066177485832421 absolute error 2.6756374893466273e-14 relative error 3.3171071353763957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.922821954516728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 13.190041851647427 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y1[1] (analytic) 0.5829778403072937 y1[1] (numeric) 0.5829778403072581 absolute error 3.5638159090467525e-14 relative error 6.113124140650403e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8124880538879594 y2[1] (numeric) 0.812488053887986 absolute error 2.653433028854124e-14 relative error 3.2658117447472375e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y1[1] (analytic) 0.574823946533304 y1[1] (numeric) 0.5748239465332681 absolute error 3.597122599785507e-14 relative error 6.257781398077329e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8182771110643858 y2[1] (numeric) 0.8182771110644121 absolute error 2.631228568361621e-14 relative error 3.2155715133459035e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y1[1] (analytic) 0.5666125708436796 y1[1] (numeric) 0.566612570843643 absolute error 3.652633751016765e-14 relative error 6.446439664368963e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8239843412116011 y2[1] (numeric) 0.8239843412116272 absolute error 2.609024107869118e-14 relative error 3.166351564439638e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y1[1] (analytic) 0.5583445343691462 y1[1] (numeric) 0.5583445343691092 absolute error 3.697042672001771e-14 relative error 6.621436128463099e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8296091736113466 y2[1] (numeric) 0.8296091736113724 absolute error 2.5868196473766147e-14 relative error 3.1181184220950794e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y1[1] (analytic) 0.5500206639064614 y1[1] (numeric) 0.5500206639064241 absolute error 3.730349362740526e-14 relative error 6.782198574588323e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8351510457850696 y2[1] (numeric) 0.8351510457850952 absolute error 2.5646151868841116e-14 relative error 3.070839939466625e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y1[1] (analytic) 0.5416417918357351 y1[1] (numeric) 0.5416417918356974 absolute error 3.774758283725532e-14 relative error 6.969104564350735e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8406094035501709 y2[1] (numeric) 0.8406094035501964 absolute error 2.55351295663786e-14 relative error 3.037692590462981e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y1[1] (analytic) 0.533208756037192 y1[1] (numeric) 0.5332087560371537 absolute error 3.83026943495679e-14 relative error 7.183433114308468e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8459837010754229 y2[1] (numeric) 0.8459837010754481 absolute error 2.5202062658991053e-14 relative error 2.979024610870628e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y1[1] (analytic) 0.5247223998073841 y1[1] (numeric) 0.5247223998073455 absolute error 3.863576125695545e-14 relative error 7.36308594242173e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8512734009355513 y2[1] (numeric) 0.8512734009355762 absolute error 2.4980018054066022e-14 relative error 2.9344295295275208e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y1[1] (analytic) 0.5161835717748627 y1[1] (numeric) 0.5161835717748238 absolute error 3.8968828164342995e-14 relative error 7.549412708031618e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8564779741649782 y2[1] (numeric) 0.8564779741650029 absolute error 2.475797344914099e-14 relative error 2.8906725211793962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y1[1] (analytic) 0.5075931258153156 y1[1] (numeric) 0.507593125815276 absolute error 3.952393967665557e-14 relative error 7.786539585848548e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.861596900310718 y2[1] (numeric) 0.8615969003107424 absolute error 2.4424906541753444e-14 relative error 2.8348415056907798e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y1[1] (analytic) 0.4989519209661796 y1[1] (numeric) 0.49895192096613966 absolute error 3.991251773527438e-14 relative error 7.999271284092274e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8666296674844217 y2[1] (numeric) 0.8666296674844459 absolute error 2.4202861936828413e-14 relative error 2.792757142399983e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y1[1] (analytic) 0.4902608213407389 y1[1] (numeric) 0.49026082134069854 absolute error 4.035660694512444e-14 relative error 8.231660615824729e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.871575772413566 y2[1] (numeric) 0.8715757724135899 absolute error 2.3869795029440866e-14 relative error 2.7386941887267786e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y1[1] (analytic) 0.4815206960417135 y1[1] (numeric) 0.4815206960416727 absolute error 4.08006961549745e-14 relative error 8.473300626613148e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8764347204917796 y2[1] (numeric) 0.8764347204918032 absolute error 2.353672812205332e-14 relative error 2.685508409439386e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y1[1] (analytic) 0.4727324190743498 y1[1] (numeric) 0.4727324190743086 absolute error 4.1244785364824565e-14 relative error 8.724763460391684e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8812060258283039 y2[1] (numeric) 0.8812060258283272 absolute error 2.3314683517128287e-14 relative error 2.6457698692213634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y1[1] (analytic) 0.46389686925902107 y1[1] (numeric) 0.4638968692589794 absolute error 4.168887457467463e-14 relative error 8.986668662210191e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8858892112965813 y2[1] (numeric) 0.8858892112966043 absolute error 2.298161660974074e-14 relative error 2.5941863064462663e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y1[1] (analytic) 0.4550149301433458 y1[1] (numeric) 0.45501493014330374 absolute error 4.207745263329343e-14 relative error 9.247488345061017e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8904838085819675 y2[1] (numeric) 0.8904838085819902 absolute error 2.2648549702353193e-14 relative error 2.5433982610441177e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y1[1] (analytic) 0.4460874899138341 y1[1] (numeric) 0.4460874899137916 absolute error 4.2521541843143495e-14 relative error 9.532108118825954e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.894989358228563 y2[1] (numeric) 0.8949893582285853 absolute error 2.2315482794965646e-14 relative error 2.4933796798583502e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y1[1] (analytic) 0.43711544130706936 y1[1] (numeric) 0.43711544130702645 absolute error 4.29101199017623e-14 relative error 9.816656161459726e-12% Correct digits 14 h 0.01 y2[1] (analytic) 0.8994054096851575 y2[1] (numeric) 0.8994054096851796 absolute error 2.2093438190040615e-14 relative error 2.4564493333183933e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y1[1] (analytic) 0.4280996815204356 y1[1] (numeric) 0.42809968152039224 absolute error 4.335420911161236e-14 relative error 1.0127129494148625e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9037315213502856 y2[1] (numeric) 0.9037315213503073 absolute error 2.1760371282653068e-14 relative error 2.4078358194411996e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y1[1] (analytic) 0.4190411121223983 y1[1] (numeric) 0.4190411121223545 absolute error 4.3798298321462426e-14 relative error 1.0452028942847335e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9079672606163857 y2[1] (numeric) 0.9079672606164071 absolute error 2.142730437526552e-14 relative error 2.359920374300645e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y1[1] (analytic) 0.4099406389623485 y1[1] (numeric) 0.4099406389623043 absolute error 4.418687638008123e-14 relative error 1.0778847516052105e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.912112203913061 y2[1] (numeric) 0.9121122039130821 absolute error 2.1094237467877974e-14 relative error 2.3126801042000522e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y1[1] (analytic) 0.4007991720800186 y1[1] (numeric) 0.40079917207997395 absolute error 4.463096558993129e-14 relative error 1.1135493458809048e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.916165936749436 y2[1] (numeric) 0.9161659367494568 absolute error 2.0761170560490427e-14 relative error 2.2660928252966078e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y1[1] (analytic) 0.3916176256144788 y1[1] (numeric) 0.3916176256144338 absolute error 4.50195436485501e-14 relative error 1.1495790971591458e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9201280537556052 y2[1] (numeric) 0.9201280537556256 absolute error 2.0317081350640365e-14 relative error 2.208071068772866e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y1[1] (analytic) 0.3823969177127246 y1[1] (numeric) 0.38239691771267914 absolute error 4.546363285840016e-14 relative error 1.1889121159850634e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9239981587231696 y2[1] (numeric) 0.9239981587231896 absolute error 1.9984014443252818e-14 relative error 2.1627764357093314e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y1[1] (analytic) 0.37313797043786207 y1[1] (numeric) 0.37313797043781627 absolute error 4.579669976578771e-14 relative error 1.2273395739395582e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9277758646448576 y2[1] (numeric) 0.9277758646448773 absolute error 1.965094753586527e-14 relative error 2.118070569057909e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y1[1] (analytic) 0.3638417096769031 y1[1] (numeric) 0.36384170967685686 absolute error 4.624078897563777e-14 relative error 1.2709040152845665e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9314607937532251 y2[1] (numeric) 0.9314607937532444 absolute error 1.9317880628477724e-14 relative error 2.07393384220052e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y1[1] (analytic) 0.3545090650481768 y1[1] (numeric) 0.3545090650481302 absolute error 4.6629367034256575e-14 relative error 1.3153222761149922e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9350525775584321 y2[1] (numeric) 0.935052577558451 absolute error 1.887379141862766e-14 relative error 2.0184738133025705e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y1[1] (analytic) 0.34514096980836895 y1[1] (numeric) 0.34514096980832193 absolute error 4.701794509287538e-14 relative error 1.3622823485424214e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.938550856885091 y2[1] (numeric) 0.9385508568851095 absolute error 1.8540724511240114e-14 relative error 1.9754629570925958e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y1[1] (analytic) 0.3357383607591968 y1[1] (numeric) 0.33573836075914937 absolute error 4.7406523151494184e-14 relative error 1.4120079410733702e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9419552819081846 y2[1] (numeric) 0.9419552819082027 absolute error 1.8096635301390052e-14 relative error 1.9211777511062345e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y1[1] (analytic) 0.3263021781537297 y1[1] (numeric) 0.3263021781536819 absolute error 4.779510121011299e-14 relative error 1.464749683270439e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9452655121880474 y2[1] (numeric) 0.9452655121880651 absolute error 1.765254609153999e-14 relative error 1.8674696012847085e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y1[1] (analytic) 0.31683336560236486 y1[1] (numeric) 0.3168333656023167 absolute error 4.8183679268731794e-14 relative error 1.520789301250668e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9484812167044101 y2[1] (numeric) 0.9484812167044274 absolute error 1.7319479184152442e-14 relative error 1.8260223691440775e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y1[1] (analytic) 0.30733286997846665 y1[1] (numeric) 0.30733286997841813 absolute error 4.851674617611934e-14 relative error 1.5786383727688702e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9516020738895008 y2[1] (numeric) 0.9516020738895177 absolute error 1.687538997430238e-14 relative error 1.7733662459695243e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y1[1] (analytic) 0.29780164132368053 y1[1] (numeric) 0.2978016413236316 absolute error 4.8905324234738146e-14 relative error 1.6422113732268844e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9546277716602015 y2[1] (numeric) 0.9546277716602181 absolute error 1.6542323066914832e-14 relative error 1.732855837427182e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y1[1] (analytic) 0.2882406327529292 y1[1] (numeric) 0.28824063275288 absolute error 4.923839114212569e-14 relative error 1.7082390734387295e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9575580074492568 y2[1] (numeric) 0.9575580074492729 absolute error 1.609823385706477e-14 relative error 1.6811758381037665e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y1[1] (analytic) 0.27865080035910234 y1[1] (numeric) 0.27865080035905276 absolute error 4.957145804951324e-14 relative error 1.7789813625379723e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9603924882355295 y2[1] (numeric) 0.9603924882355451 absolute error 1.5654144647214707e-14 relative error 1.6299736658681194e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y1[1] (analytic) 0.2690331031174478 y1[1] (numeric) 0.26903310311739786 absolute error 4.9960036108132044e-14 relative error 1.8570218879838636e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.963130930573303 y2[1] (numeric) 0.9631309305733182 absolute error 1.5210055437364645e-14 relative error 1.5792302951282926e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y1[1] (analytic) 0.259388502789675 y1[1] (numeric) 0.2593885027896247 absolute error 5.029310301551959e-14 relative error 1.9389102629695085e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9657730606206257 y2[1] (numeric) 0.9657730606206404 absolute error 1.4654943925052066e-14 relative error 1.5174314259329718e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y1[1] (analytic) 0.24971796382777964 y1[1] (numeric) 0.24971796382772898 absolute error 5.065392549852277e-14 relative error 2.0284453998454322e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9683186141666945 y2[1] (numeric) 0.9683186141667087 absolute error 1.4210854715202004e-14 relative error 1.467580454128875e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y1[1] (analytic) 0.24002245327759908 y1[1] (numeric) 0.24002245327754806 absolute error 5.101474798152594e-14 relative error 2.1254156552814083e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9707673366582761 y2[1] (numeric) 0.9707673366582898 absolute error 1.3766765505351941e-14 relative error 1.418132335678084e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y1[1] (analytic) 0.2303029406821088 y1[1] (numeric) 0.23030294068205745 absolute error 5.134781488891349e-14 relative error 2.229577040433443e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.973118983225162 y2[1] (numeric) 0.9731189832251753 absolute error 1.3322676295501878e-14 relative error 1.369069612777172e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y1[1] (analytic) 0.2205603979844688 y1[1] (numeric) 0.2205603979844171 absolute error 5.1708637371916666e-14 relative error 2.3444207502544418e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9753733187046552 y2[1] (numeric) 0.975373318704668 absolute error 1.2878587085651816e-14 relative error 1.320375166993006e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y1[1] (analytic) 0.21079579943083007 y1[1] (numeric) 0.21079579943077803 absolute error 5.204170427930421e-14 relative error 2.4688207459457002e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9775301176650862 y2[1] (numeric) 0.9775301176650987 absolute error 1.2434497875801753e-14 relative error 1.2720322014735064e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y1[1] (analytic) 0.20101012147291084 y1[1] (numeric) 0.20101012147285846 absolute error 5.237477118669176e-14 relative error 2.6055788038389924e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9795891644283565 y2[1] (numeric) 0.9795891644283685 absolute error 1.199040866595169e-14 relative error 1.2240242237620855e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y1[1] (analytic) 0.1912043426703522 y1[1] (numeric) 0.19120434267029948 absolute error 5.2707838094079307e-14 relative error 2.7566234823939537e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9815502530915056 y2[1] (numeric) 0.9815502530915171 absolute error 1.1546319456101628e-14 relative error 1.176335029178095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y1[1] (analytic) 0.18137944359286293 y1[1] (numeric) 0.18137944359280989 absolute error 5.3040905001466854e-14 relative error 2.9243063023462685e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9834131875473012 y2[1] (numeric) 0.9834131875473123 absolute error 1.1102230246251565e-14 relative error 1.1289486847274517e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y1[1] (analytic) 0.17153640672216341 y1[1] (numeric) 0.17153640672211004 absolute error 5.33739719088544e-14 relative error 3.1115244238095725e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9851777815038505 y2[1] (numeric) 0.985177781503861 absolute error 1.0547118733938987e-14 relative error 1.0705802477436165e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y1[1] (analytic) 0.16167621635373822 y1[1] (numeric) 0.16167621635368454 absolute error 5.367928324062632e-14 relative error 3.320171912186462e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9868438585032281 y2[1] (numeric) 0.9868438585032382 absolute error 1.0103029524088925e-14 relative error 1.0237718395909616e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y1[1] (analytic) 0.15179985849840735 y1[1] (numeric) 0.1517998584983534 absolute error 5.395683899678261e-14 relative error 3.554472285450036e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9884112519391225 y2[1] (numeric) 0.9884112519391322 absolute error 9.658940314238862e-15 relative error 9.772187735913965e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y1[1] (analytic) 0.14190832078372614 y1[1] (numeric) 0.14190832078367188 absolute error 5.4262150328554526e-14 relative error 3.8237469113070667e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9898798050734964 y2[1] (numeric) 0.9898798050735055 absolute error 9.103828801926284e-15 relative error 9.19690325559308e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y1[1] (analytic) 0.1320025923552231 y1[1] (numeric) 0.13200259235516854 absolute error 5.4567461660326444e-14 relative error 4.13381742636415e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9912493710522599 y2[1] (numeric) 0.9912493710522685 absolute error 8.659739592076221e-15 relative error 8.736186720485363e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y1[1] (analytic) 0.1220836637774863 y1[1] (numeric) 0.12208366377743146 absolute error 5.484501741648273e-14 relative error 4.4924124751404136e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9925198129199566 y2[1] (numeric) 0.9925198129199647 absolute error 8.104628079763643e-15 relative error 8.165709111559321e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y1[1] (analytic) 0.11215252693510783 y1[1] (numeric) 0.11215252693505269 absolute error 5.5136450960446837e-14 relative error 4.916202288723208e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9936910036334584 y2[1] (numeric) 0.9936910036334661 absolute error 7.66053886991358e-15 relative error 7.709176033497949e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y1[1] (analytic) 0.10221017493349596 y1[1] (numeric) 0.10221017493344053 absolute error 5.542788450441094e-14 relative error 5.422932163111513e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.99476282607467 y2[1] (numeric) 0.9947628260746771 absolute error 7.105427357601002e-15 relative error 7.142835630115963e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y1[1] (analytic) 0.0922576019995656 y1[1] (numeric) 0.0922576019995099 absolute error 5.570544026056723e-14 relative error 6.038032536422258e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9957351730622404 y2[1] (numeric) 0.995735173062247 absolute error 6.661338147750939e-15 relative error 6.689869282476937e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y1[1] (analytic) 0.08229580338231637 y1[1] (numeric) 0.08229580338226039 absolute error 5.598299601672352e-14 relative error 6.802655021987802e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9966079473622811 y2[1] (numeric) 0.9966079473622872 absolute error 6.106226635438361e-15 relative error 6.127009775107343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y1[1] (analytic) 0.07232577525330852 y1[1] (numeric) 0.07232577525325226 absolute error 5.626055177287981e-14 relative error 7.778769266673873e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9973810616980894 y2[1] (numeric) 0.9973810616980949 absolute error 5.551115123125783e-15 relative error 5.56569132531426e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y1[1] (analytic) 0.062348514607046615 y1[1] (numeric) 0.06234851460699009 absolute error 5.652422974122828e-14 relative error 9.065850260824005e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.998054438758876 y2[1] (numeric) 0.998054438758881 absolute error 4.9960036108132044e-15 relative error 5.005742589578532e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y1[1] (analytic) 0.052365019161280925 y1[1] (numeric) 0.052365019161224144 absolute error 5.678096881567285e-14 relative error 1.084330144915847e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.998628011207496 y2[1] (numeric) 0.9986280112075004 absolute error 4.440892098500626e-15 relative error 4.4469933235008093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y1[1] (analytic) 0.04237628725723648 y1[1] (numeric) 0.04237628725717944 absolute error 5.703770789011742e-14 relative error 1.34598171717786e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9991017216871825 y2[1] (numeric) 0.9991017216871864 absolute error 3.885780586188048e-15 relative error 3.889274236887644e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y1[1] (analytic) 0.03238331775977977 y1[1] (numeric) 0.03238331775972248 absolute error 5.728750807065808e-14 relative error 1.7690438174253234e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9994755228272822 y2[1] (numeric) 0.9994755228272856 absolute error 3.3306690738754696e-15 relative error 3.3324168504435074e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y1[1] (analytic) 0.022387109957533083 y1[1] (numeric) 0.022387109957475552 absolute error 5.753036935729483e-14 relative error 2.569798847034131e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9997493772479927 y2[1] (numeric) 0.9997493772479955 absolute error 2.7755575615628914e-15 relative error 2.776253353818695e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y1[1] (analytic) 0.01238866346294651 y1[1] (numeric) 0.01238866346288874 absolute error 5.776976119697963e-14 relative error 4.663114900954757e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9999232575641002 y2[1] (numeric) 0.9999232575641024 absolute error 2.220446049250313e-15 relative error 2.2206164647670186e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y1[1] (analytic) 0.0023889781123374934 y1[1] (numeric) 0.002388978112279491 absolute error 5.800221414276052e-14 relative error 2.427908980966272e-09% Correct digits 11 h 0.01 y2[1] (analytic) 0.9999971463877179 y2[1] (numeric) 0.9999971463877194 absolute error 1.5543122344752192e-15 relative error 1.5543166698923586e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y1[1] (analytic) -0.007610946134091949 y1[1] (numeric) -0.0076109461341501775 absolute error 5.82285955563755e-14 relative error 7.650638242668717e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9999710363300249 y2[1] (numeric) 0.9999710363300259 absolute error 9.992007221626409e-16 relative error 9.992296635208444e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00733891347736344 Order of pole (three term test) -0.894257651745037 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.007328846334898471 Order of pole (three term test) -0.8902318491459624 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y1[1] (analytic) -0.017610109292250417 y1[1] (numeric) -0.017610109292308863 absolute error 5.844630335261058e-14 relative error 3.3189063385501377e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9998449300020054 y2[1] (numeric) 0.9998449300020058 absolute error 4.440892098500626e-16 relative error 4.4415808544348165e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.016978536313951707 Order of pole (three term test) -0.900354919951826 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.016955245573569696 Order of pole (three term test) -0.8960785729156807 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y1[1] (analytic) -0.0276075114541547 y1[1] (numeric) -0.027607511454213363 absolute error 5.866140906363171e-14 relative error 2.124835089212782e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.999618840014187 y2[1] (numeric) 0.9996188400141869 absolute error 1.1102230246251565e-16 relative error 1.1106463585754345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.026611353980119525 Order of pole (three term test) -0.911284483945648 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.026574847880626782 Order of pole (three term test) -0.9065590265507025 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y1[1] (analytic) -0.03760215288791975 y1[1] (numeric) -0.03760215288797862 absolute error 5.886957588074893e-14 relative error 1.565590567545978e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9992927889753801 y2[1] (numeric) 0.9992927889753794 absolute error 6.661338147750939e-16 relative error 6.666052453536775e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03623350556421486 Order of pole (three term test) -0.9270419540532298 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.036183797020778286 Order of pole (three term test) -0.9216689994005257 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y1[1] (analytic) -0.047593034137731034 y1[1] (numeric) -0.047593034137790105 absolute error 5.907080380396224e-14 relative error 1.241164907305874e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9988668094904168 y2[1] (numeric) 0.9988668094904156 absolute error 1.2212453270876722e-15 relative error 1.2226308007077582e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0458411344559641 Order of pole (three term test) -0.9476210015837391 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.04577824105765345 Order of pole (three term test) -0.9414024208783609 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y1[1] (analytic) -0.05757915612378928 y1[1] (numeric) -0.05757915612384854 absolute error 5.926509283327164e-14 relative error 1.0292803302962233e-10% Correct digits 12 h 0.01 y2[1] (analytic) 0.9983409441568909 y2[1] (numeric) 0.998340944156889 absolute error 1.887379141862766e-15 relative error 1.890515612836732e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05543038990168886 Order of pole (three term test) -0.9730133614017386 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.05535433390812391 Order of pole (three term test) -0.9657513629322776 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y1[1] (analytic) -0.0675595202422176 y1[1] (numeric) -0.06755952024227706 absolute error 5.945244296867713e-14 relative error 8.800009644166419e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9977152455608972 y2[1] (numeric) 0.9977152455608947 absolute error 2.4424906541753444e-15 relative error 2.448083924789804e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06499742855710448 Order of pole (three term test) -1.0032088352873267 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.06490823689420247 Order of pole (three term test) -0.9947060432723802 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y1[1] (analytic) -0.07753312846492112 y1[1] (numeric) -0.07753312846498077 absolute error 5.964673199798654e-14 relative error 7.693064007467845e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.996989776271774 y2[1] (numeric) 0.996989776271771 absolute error 2.9976021664879227e-15 relative error 3.0066528642825244e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.07453841603705708 Order of pole (three term test) -1.0381952960820326 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.07443612029187463 Order of pole (three term test) -1.0282548293526337 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y1[1] (analytic) -0.08749898343938889 y1[1] (numeric) -0.0874989834394487 absolute error 5.981326545168031e-14 relative error 6.835881184049795e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9961646088358458 y2[1] (numeric) 0.9961646088358421 absolute error 3.6637359812630166e-15 relative error 3.677841943757259e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08404952846156083 Order of pole (three term test) -1.0779586926187035 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.08393416487622327 Order of pole (three term test) -1.0663842431056356 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y1[1] (analytic) -0.09745608858842827 y1[1] (numeric) -0.09745608858848827 absolute error 5.99936766931819e-14 relative error 6.155970095059347e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9952398257691683 y2[1] (numeric) 0.995239825769164 absolute error 4.218847493575595e-15 relative error 4.2390259958850327e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.09352695399749648 Order of pole (three term test) -1.122483055433281 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.09339856346220662 Order of pole (three term test) -1.1090789664283087 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y1[1] (analytic) -0.10740344820982196 y1[1] (numeric) -0.10740344820988212 absolute error 6.016021014687567e-14 relative error 5.6013294870521733e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9942155195492777 y2[1] (numeric) 0.9942155195492728 absolute error 4.884981308350689e-15 relative error 4.91340279074025e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1029668943953358 Order of pole (three term test) -1.1717505032560371 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.10282552244045264 Order of pole (three term test) -1.1563218474161692 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y1[1] (analytic) -0.11734006757589724 y1[1] (numeric) -0.11734006757595757 absolute error 6.032674360056944e-14 relative error 5.141188755626823e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9930917926059423 y2[1] (numeric) 0.9930917926059368 absolute error 5.440092820663267e-15 relative error 5.477935535433319e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1123655665202561 Order of pole (three term test) -1.2257412502795066 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.11221126330743313 Order of pole (three term test) -1.2080939073434962 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y1[1] (analytic) -0.127264953032998 y1[1] (numeric) -0.1272649530330585 absolute error 6.04793992664554e-14 relative error 4.7522430822548564e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9918687573109201 y2[1] (numeric) 0.991868757310914 absolute error 6.106226635438361e-15 relative error 6.156284881876009e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.12171920387701579 Order of pole (three term test) -1.2844336142000206 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1215520241893875 Order of pole (three term test) -1.2643743483864347 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y1[1] (analytic) -0.13717711210084924 y1[1] (numeric) -0.13717711210090985 absolute error 6.061817714453355e-14 relative error 4.418971664891776e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9905465359667213 y2[1] (numeric) 0.9905465359667146 absolute error 6.661338147750939e-15 relative error 6.724911860147816e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13102405812796045 Order of pole (three term test) -1.3478040250294243 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.13084406135936394 Order of pole (three term test) -1.3251405620857106 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y1[1] (analytic) -0.14707555357180424 y1[1] (numeric) -0.14707555357186503 absolute error 6.078471059822732e-14 relative error 4.132890145373576e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9891252607943786 y2[1] (numeric) 0.9891252607943712 absolute error 7.327471962526033e-15 relative error 7.408032382714856e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1402764006035335 Order of pole (three term test) -1.415827034673219 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1400836507467525 Order of pole (three term test) -1.390368138545354 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y1[1] (analytic) -0.15695928760996464 y1[1] (numeric) -0.15695928761002556 absolute error 6.092348847630547e-14 relative error 3.8814834983003395e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9876050739202247 y2[1] (numeric) 0.9876050739202168 absolute error 7.882583474838611e-15 relative error 7.981513747746641e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14947252380467313 Order of pole (three term test) -1.4884753272710805 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.14926708943868833 Order of pole (three term test) -1.4600308763635033 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y1[1] (analytic) -0.16682732585016302 y1[1] (numeric) -0.16682732585022406 absolute error 6.103451077876798e-14 relative error 3.658543974599611e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9859861273616802 y2[1] (numeric) 0.9859861273616718 absolute error 8.43769498715119e-15 relative error 8.557620389374979e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1586087428964697 Order of pole (three term test) -1.5657197302953179 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1583906971727018 Order of pole (three term test) -1.5341007932910335 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y1[1] (analytic) -0.1766786814967987 y1[1] (numeric) -0.17667868149685984 absolute error 6.11455330812305e-14 relative error 3.4608325443236013e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.984268583012052 y2[1] (numeric) 0.984268583012043 absolute error 8.992806499463768e-15 relative error 9.136537175599005e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1676813971924775 Order of pole (three term test) -1.6475292264026018 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.16745081782000415 Order of pole (three term test) -1.6125481376134772 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y1[1] (analytic) -0.18651236942251642 y1[1] (numeric) -0.18651236942257768 absolute error 6.125655538369301e-14 relative error 3.284315971823041e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9824526126243437 y2[1] (numeric) 0.982452612624334 absolute error 9.658940314238862e-15 relative error 9.831456693303244e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1766868516290633 Order of pole (three term test) -1.7338709660338878 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.17644382085879454 Order of pole (three term test) -1.695341400251366 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y1[1] (analytic) -0.19632740626671835 y1[1] (numeric) -0.19632740626677972 absolute error 6.136757768615553e-14 relative error 3.125777437449834e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9805383977940807 y2[1] (numeric) 0.9805383977940704 absolute error 1.0325074129013956e-14 relative error 1.0530004895516888e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1856214982291907 Order of pole (three term test) -1.8247102807572135 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.185366102836983 Order of pole (three term test) -1.782447327573844 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y1[1] (analytic) -0.20612281053389925 y1[1] (numeric) -0.2061228105339607 absolute error 6.145084441300241e-14 relative error 2.981273360955658e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.978526129941151 y2[1] (numeric) 0.97852612994114 absolute error 1.099120794378905e-14 relative error 1.123241128415249e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19448175755503497 Order of pole (three term test) -1.9200106973476807 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.1942140888237263 Order of pole (three term test) -1.8738309349200692 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y1[1] (analytic) -0.21589760269179517 y1[1] (numeric) -0.21589760269185673 absolute error 6.156186671546493e-14 relative error 2.8514381793922755e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9764160102906628 y2[1] (numeric) 0.9764160102906512 absolute error 1.1657341758564144e-14 relative error 1.1938908862313664e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20326408014883615 Order of pole (three term test) -2.0197339525986693 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.20298423384918104 Order of pole (three term test) -1.9694555208226683 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y1[1] (analytic) -0.225650805269336 y1[1] (numeric) -0.22565080526939765 absolute error 6.164513344231182e-14 relative error 2.731881828151794e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.974208249852823 y2[1] (numeric) 0.9742082498528106 absolute error 1.2323475573339238e-14 relative error 1.2649734361417066e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21196494796139603 Order of pole (three term test) -2.123840008857984 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.21167302433188095 Order of pole (three term test) -2.0692826819271546 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y1[1] (analytic) -0.23538144295439162 y1[1] (numeric) -0.23538144295445335 absolute error 6.17284001691587e-14 relative error 2.6224837181034456e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9719030694018352 y2[1] (numeric) 0.9719030694018223 absolute error 1.2989609388114332e-14 relative error 1.3365128475320981e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22058087576763705 Order of pole (three term test) -2.2322870702823754 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2202769794931546 Order of pole (three term test) -2.173272328600997 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y1[1] (analytic) -0.24508854269130234 y1[1] (numeric) -0.24508854269136413 absolute error 6.178391132038996e-14 relative error 2.520881255481982e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9695006994538239 y2[1] (numeric) 0.9695006994538102 absolute error 1.3655743202889425e-14 relative error 1.4085336101956914e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.229108412568638 Order of pole (three term test) -2.3450315998034834 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2287926527579982 Order of pole (three term test) -2.2813827012256267 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y1[1] (analytic) -0.25477113377818367 y1[1] (numeric) -0.25477113377824556 absolute error 6.189493362285248e-14 relative error 2.429432750287215e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9670013802437817 y2[1] (numeric) 0.9670013802437674 absolute error 1.432187701766452e-14 relative error 1.4810606592985383e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23754414297958118 Order of pole (three term test) -2.462028336798128 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.23721663314183805 Order of pole (three term test) -2.393570387164563 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y1[1] (analytic) -0.2644282479639958 y1[1] (numeric) -0.2644282479640577 absolute error 6.195044477408373e-14 relative error 2.342807368391248e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9644053617015469 y2[1] (numeric) 0.9644053617015319 absolute error 1.4988010832439613e-14 relative error 1.5541194012023681e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2458846886030341 Order of pole (three term test) -2.583230315455333 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.24554554662260433 Order of pole (three term test) -2.509790338400311 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y1[1] (analytic) -0.27405891954536765 y1[1] (numeric) -0.27405891954542966 absolute error 6.200595592531499e-14 relative error 2.2625045748620688e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9617129034268105 y2[1] (numeric) 0.9617129034267948 absolute error 1.5654144647214707e-14 relative error 1.6277357402022254e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25412670938701337 Order of pole (three term test) -2.7085888838324323 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.25377605749756416 Order of pole (three term test) -2.629995889832661 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y1[1] (analytic) -0.2836621854631666 y1[1] (numeric) -0.2836621854632287 absolute error 6.206146707654625e-14 relative error 2.1878653644020838e-11% Correct digits 13 h 0.01 y2[1] (analytic) 0.9589242746631561 y2[1] (numeric) 0.9589242746631398 absolute error 1.63202784619898e-14 relative error 1.7019361062397413e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26226690496727206 Order of pole (three term test) -2.838053723592143 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.2619048697243548 Order of pole (three term test) -2.7541387782305473 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y1 , x , 1 ) = m1 * y2 ; diff ( y2 , x , 2 ) = diff ( y1, x , 1) ; Iterations 451 Total Elapsed Time 11.0 Seconds Elapsed Time(since restart) 10.0 Seconds Time to Timeout 2 Minutes 49.0 Seconds Percent Done 100.44444444444305%