##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 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) $array_y2_init[2 + 1] = exact_soln_y2pp(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_y2 (x) return(sin(x)) end def exact_soln_y2p (x) return( cos(x)) end def exact_soln_y2pp (x) return( -sin(x)) end def exact_soln_y1 (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 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.467208605532302e-183 estimated_step_error 2.467208605532302e-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 1.655715664606566e-175 estimated_step_error 1.655715664606566e-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 1.1111319694584357e-167 estimated_step_error 1.1111319694584357e-167 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 7.456680367024187e-160 estimated_step_error 7.456680367024187e-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 5.004093412037817e-152 estimated_step_error 5.004093412037817e-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 3.3581901424816246e-144 estimated_step_error 3.3581901424816246e-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 2.2536431215809203e-136 estimated_step_error 2.2536431215809203e-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 1.512394117654307e-128 estimated_step_error 1.512394117654307e-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 1.0149502701580557e-120 estimated_step_error 1.0149502701580557e-120 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 6.811212724408108e-113 estimated_step_error 6.811212724408108e-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 4.5709231343600255e-105 estimated_step_error 4.5709231343600255e-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 3.067488750234022e-97 estimated_step_error 3.067488750234022e-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 2.0585490116180908e-89 estimated_step_error 2.0585490116180908e-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 1.3814583197402446e-81 estimated_step_error 1.3814583197402446e-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 9.270668118428106e-74 estimated_step_error 9.270668118428106e-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 6.221249002016116e-66 estimated_step_error 6.221249002016116e-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 4.174750875079242e-58 estimated_step_error 4.174750875079242e-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 2.801274754399603e-50 estimated_step_error 2.801274754399603e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y2[1] (analytic) 0.09983341664682815 y2[1] (numeric) 0.09983341664682815 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.9950041652780258 y1[1] (numeric) 0.9950041652780258 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 0.09551257578889587 Order of pole (three term test) -1.1057820416940969 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] 0.11 y2[1] (analytic) 0.10977830083717481 y2[1] (numeric) 0.10977830083717481 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.9939560979566968 y1[1] (numeric) 0.9939560979566969 absolute error 1.1102230246251565e-16 relative error 1.1169739054948934e-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 0.10491606178191228 Order of pole (three term test) -1.1520387456711014 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] 0.12 y2[1] (analytic) 0.11971220728891936 y2[1] (numeric) 0.11971220728891936 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.9928086358538663 y1[1] (numeric) 0.9928086358538664 absolute error 1.1102230246251565e-16 relative error 1.1182648745498752e-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 0.11427748432063413 Order of pole (three term test) -1.202626005250231 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] 0.13 y2[1] (analytic) 0.12963414261969486 y2[1] (numeric) 0.12963414261969486 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.9915618937147881 y1[1] (numeric) 0.9915618937147882 absolute error 1.1102230246251565e-16 relative error 1.1196709269108925e-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 0.1235930906801386 Order of pole (three term test) -1.2575234915073843 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] 0.14 y2[1] (analytic) 0.1395431146442365 y2[1] (numeric) 0.1395431146442365 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.9902159962126371 y1[1] (numeric) 0.9902159962126373 absolute error 2.220446049250313e-16 relative error 2.242385558042933e-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 0.13285914663240084 Order of pole (three term test) -1.3167091439198413 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] 0.15000000000000002 y2[1] (analytic) 0.14943813247359924 y2[1] (numeric) 0.14943813247359924 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.9887710779360422 y1[1] (numeric) 0.9887710779360425 absolute error 2.220446049250313e-16 relative error 2.2456624175185883e-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 0.14207193795293113 Order of pole (three term test) -1.380159179354241 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] 0.16000000000000003 y2[1] (analytic) 0.159318206614246 y2[1] (numeric) 0.15931820661424598 absolute error 2.7755575615628914e-17 relative error 1.7421471284090547e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9872272833756269 y1[1] (numeric) 0.9872272833756272 absolute error 2.220446049250313e-16 relative error 2.249174112832397e-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 0.1512277719191145 Order of pole (three term test) -1.4478481017554434 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] 0.17000000000000004 y2[1] (analytic) 0.16918234906699606 y2[1] (numeric) 0.16918234906699603 absolute error 2.7755575615628914e-17 relative error 1.640571594418383e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9855847669095607 y1[1] (numeric) 0.9855847669095609 absolute error 2.220446049250313e-16 relative error 2.2529224515237114e-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 0.1603229787996344 Order of pole (three term test) -1.519748712532131 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] 0.18000000000000005 y2[1] (analytic) 0.17902957342582423 y2[1] (numeric) 0.1790295734258242 absolute error 2.7755575615628914e-17 relative error 1.5503346784842025e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9838436927881214 y1[1] (numeric) 0.9838436927881216 absolute error 1.1102230246251565e-16 relative error 1.1284546851938319e-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 0.16935391333436434 Order of pole (three term test) -1.5958321216346836 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] 0.19000000000000006 y2[1] (analytic) 0.18885889497650063 y2[1] (numeric) 0.1888588949765006 absolute error 2.7755575615628914e-17 relative error 1.469646193740702e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9820042351172703 y1[1] (numeric) 0.9820042351172704 absolute error 1.1102230246251565e-16 relative error 1.1305684689766887e-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 0.17831695620411542 Order of pole (three term test) -1.676067759320575 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] 0.20000000000000007 y2[1] (analytic) 0.19866933079506127 y2[1] (numeric) 0.19866933079506124 absolute error 2.7755575615628914e-17 relative error 1.3970739975089748e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9800665778412416 y1[1] (numeric) 0.9800665778412417 absolute error 1.1102230246251565e-16 relative error 1.1328036785731495e-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 0.1872085154896343 Order of pole (three term test) -1.760423388602259 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] 0.21000000000000008 y2[1] (analytic) 0.20845989984609964 y2[1] (numeric) 0.2084598998460996 absolute error 2.7755575615628914e-17 relative error 1.3314587427183891e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9780309147241483 y1[1] (numeric) 0.9780309147241484 absolute error 1.1102230246251565e-16 relative error 1.1351614840705652e-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 0.19602502811924927 Order of pole (three term test) -1.848865118372195 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] 0.22000000000000008 y2[1] (analytic) 0.2182296230808694 y2[1] (numeric) 0.21822962308086935 absolute error 5.551115123125783e-17 relative error 2.5437037578847418e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9758974493306055 y1[1] (numeric) 0.9758974493306056 absolute error 1.1102230246251565e-16 relative error 1.137643125706178e-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 0.20476296130456842 Order of pole (three term test) -1.941357417199409 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] 0.2300000000000001 y2[1] (analytic) 0.2279775235351885 y2[1] (numeric) 0.22797752353518844 absolute error 5.551115123125783e-17 relative error 2.43493965415804e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9736663950053748 y1[1] (numeric) 0.973666395005375 absolute error 2.220446049250313e-16 relative error 2.280499830989911e-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 0.2134188139636373 Order of pole (three term test) -2.0378631277916734 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] 0.2400000000000001 y2[1] (analytic) 0.2377026264271347 y2[1] (numeric) 0.23770262642713463 absolute error 5.551115123125783e-17 relative error 2.3353192207270037e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9713379748520296 y1[1] (numeric) 0.9713379748520298 absolute error 2.220446049250313e-16 relative error 2.2859664779281058e-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 0.2219891181309722 Order of pole (three term test) -2.1383434821171097 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] 0.2500000000000001 y2[1] (analytic) 0.24740395925452305 y2[1] (numeric) 0.24740395925452296 absolute error 8.326672684688674e-17 relative error 3.365618201818023e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9689124217106447 y1[1] (numeric) 0.968912421710645 absolute error 2.220446049250313e-16 relative error 2.2916891139965438e-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 0.23047044035388933 Order of pole (three term test) -2.242758117178779 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] 0.2600000000000001 y2[1] (analytic) 0.25708055189215523 y2[1] (numeric) 0.2570805518921551 absolute error 1.1102230246251565e-16 relative error 4.31858036889112e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9663899781345132 y1[1] (numeric) 0.9663899781345134 absolute error 2.220446049250313e-16 relative error 2.2976708156024005e-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 0.23885938307455593 Order of pole (three term test) -2.351065091435489 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] 0.27000000000000013 y2[1] (analytic) 0.26673143668883126 y2[1] (numeric) 0.26673143668883115 absolute error 1.1102230246251565e-16 relative error 4.1623253651962373e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9637708963658905 y1[1] (numeric) 0.9637708963658908 absolute error 2.220446049250313e-16 relative error 2.3039148179541338e-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 0.24715258599719725 Order of pole (three term test) -2.4632209018618174 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] 0.28000000000000014 y2[1] (analytic) 0.2763556485641139 y2[1] (numeric) 0.27635564856411376 absolute error 1.1102230246251565e-16 relative error 4.0173704803706494e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9610554383107709 y1[1] (numeric) 0.9610554383107712 absolute error 3.3306690738754696e-16 relative error 3.4656367792161125e-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 0.25534672743989945 Order of pole (three term test) -2.5791805016400793 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] 0.29000000000000015 y2[1] (analytic) 0.2859522251048357 y2[1] (numeric) 0.2859522251048356 absolute error 1.1102230246251565e-16 relative error 3.882547247947195e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9582438755126971 y1[1] (numeric) 0.9582438755126974 absolute error 3.3306690738754696e-16 relative error 3.4758052297422036e-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 0.26343852567045356 Order of pole (three term test) -2.6988973184766674 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] 0.30000000000000016 y2[1] (analytic) 0.2955202066613397 y2[1] (numeric) 0.29552020666133966 absolute error 5.551115123125783e-17 relative error 1.878421508241313e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.955336489125606 y1[1] (numeric) 0.9553364891256062 absolute error 2.220446049250313e-16 relative error 2.3242554581816802e-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 0.27142474022569846 Order of pole (three term test) -2.8223232735350012 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] 0.31000000000000016 y2[1] (analytic) 0.30505863644344366 y2[1] (numeric) 0.3050586364434436 absolute error 5.551115123125783e-17 relative error 1.8196879091324894e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9523335698857134 y1[1] (numeric) 0.9523335698857136 absolute error 2.220446049250313e-16 relative error 2.3315843518115003e-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 0.27930217321381995 Order of pole (three term test) -2.949408800976975 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] 0.3200000000000002 y2[1] (analytic) 0.31456656061611793 y2[1] (numeric) 0.3145665606161179 absolute error 5.551115123125783e-17 relative error 1.7646869750723757e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9492354180824408 y1[1] (numeric) 0.949235418082441 absolute error 2.220446049250313e-16 relative error 2.3391942683047546e-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 0.2870676705990782 Order of pole (three term test) -3.0801028681046225 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] 0.3300000000000002 y2[1] (analytic) 0.32404302839486854 y2[1] (numeric) 0.3240430283948685 absolute error 5.551115123125783e-17 relative error 1.7130796334742836e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9460423435283869 y1[1] (numeric) 0.9460423435283871 absolute error 2.220446049250313e-16 relative error 2.347089498096748e-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 0.2947181234684405 Order of pole (three term test) -3.2143529960934325 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] 0.3400000000000002 y2[1] (analytic) 0.33348709214081457 y2[1] (numeric) 0.3334870921408145 absolute error 5.551115123125783e-17 relative error 1.6645667115601076e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9427546655283462 y1[1] (numeric) 0.9427546655283464 absolute error 2.220446049250313e-16 relative error 2.3552745273404854e-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 0.3022504692796018 Order of pole (three term test) -3.3521052813084693 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] 0.3500000000000002 y2[1] (analytic) 0.34289780745545156 y2[1] (numeric) 0.34289780745545145 absolute error 1.1102230246251565e-16 relative error 3.237766472943674e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9393727128473789 y1[1] (numeric) 0.9393727128473791 absolute error 2.220446049250313e-16 relative error 2.3637540444620856e-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 0.30966169308989266 Order of pole (three term test) -3.4933044171943197 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] 0.3600000000000002 y2[1] (analytic) 0.35227423327509017 y2[1] (numeric) 0.3522742332750901 absolute error 5.551115123125783e-17 relative error 1.5757936853675383e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9358968236779348 y1[1] (numeric) 0.935896823677935 absolute error 2.220446049250313e-16 relative error 2.3725329470873632e-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 0.31694882876556807 Order of pole (three term test) -3.6378937167294896 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] 0.3700000000000002 y2[1] (analytic) 0.3616154319649622 y2[1] (numeric) 0.3616154319649621 absolute error 1.1102230246251565e-16 relative error 3.0701760115501066e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9323273456060344 y1[1] (numeric) 0.9323273456060346 absolute error 2.220446049250313e-16 relative error 2.3816163493595392e-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 0.32410896017099766 Order of pole (three term test) -3.785815135435832 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] 0.3800000000000002 y2[1] (analytic) 0.3709204694129829 y2[1] (numeric) 0.3709204694129828 absolute error 1.1102230246251565e-16 relative error 2.9931565286277964e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9286646355765101 y1[1] (numeric) 0.9286646355765104 absolute error 2.220446049250313e-16 relative error 2.3910095896694418e-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 0.3311392223372697 Order of pole (three term test) -3.9370092949331794 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] 0.39000000000000024 y2[1] (analytic) 0.38018841512316165 y2[1] (numeric) 0.38018841512316154 absolute error 1.1102230246251565e-16 relative error 2.9201916220027405e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.924909059857313 y1[1] (numeric) 0.9249090598573132 absolute error 2.220446049250313e-16 relative error 2.4007182388210842e-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 0.3380368026097421 Order of pole (three term test) -4.091415507029276 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] 0.40000000000000024 y2[1] (analytic) 0.3894183423086507 y2[1] (numeric) 0.3894183423086506 absolute error 1.1102230246251565e-16 relative error 2.850977737831364e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.921060994002885 y1[1] (numeric) 0.9210609940028852 absolute error 2.220446049250313e-16 relative error 2.4107481086571322e-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 0.34479894177407827 Order of pole (three term test) -4.248971798334816 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] 0.41000000000000025 y2[1] (analytic) 0.3986093279844231 y2[1] (numeric) 0.398609327984423 absolute error 1.1102230246251565e-16 relative error 2.7852409531884863e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.917120822816605 y1[1] (numeric) 0.9171208228166052 absolute error 2.220446049250313e-16 relative error 2.421105261170514e-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 0.35142293516031325 Order of pole (three term test) -4.409614935393137 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] 0.42000000000000026 y2[1] (analytic) 0.4077604530595704 y2[1] (numeric) 0.4077604530595703 absolute error 1.1102230246251565e-16 relative error 2.72273344875591e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9130889403123081 y1[1] (numeric) 0.9130889403123084 absolute error 2.220446049250313e-16 relative error 2.4317960181303295e-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 0.3579061337245137 Order of pole (three term test) -4.573280450314094 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] 0.43000000000000027 y2[1] (analytic) 0.416870802429211 y2[1] (numeric) 0.4168708024292109 absolute error 1.1102230246251565e-16 relative error 2.663230473699784e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.908965749674885 y1[1] (numeric) 0.9089657496748852 absolute error 2.220446049250313e-16 relative error 2.4428269712522314e-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 0.36424594510759134 Order of pole (three term test) -4.739902666901167 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] 0.4400000000000003 y2[1] (analytic) 0.42593946506599983 y2[1] (numeric) 0.4259394650659997 absolute error 1.1102230246251565e-16 relative error 2.6065277244340957e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9047516632199633 y1[1] (numeric) 0.9047516632199635 absolute error 2.220446049250313e-16 relative error 2.454204992945648e-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 0.37043983467085606 Order of pole (three term test) -4.909414727260922 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] 0.4500000000000003 y2[1] (analytic) 0.43496553411123046 y2[1] (numeric) 0.43496553411123035 absolute error 1.1102230246251565e-16 relative error 2.5524390728881236e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.9004471023526768 y1[1] (numeric) 0.900447102352677 absolute error 2.220446049250313e-16 relative error 2.4659372476725838e-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 0.37648532650789046 Order of pole (three term test) -5.081748618883577 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] 0.4600000000000003 y2[1] (analytic) 0.44394810696552 y2[1] (numeric) 0.4439481069655199 absolute error 1.1102230246251565e-16 relative error 2.5007945910925663e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8960524975255251 y1[1] (numeric) 0.8960524975255253 absolute error 2.220446049250313e-16 relative error 2.4780312039552808e-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 0.38238000443234793 Order of pole (three term test) -5.256835202183327 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] 0.4700000000000003 y2[1] (analytic) 0.45288628537906855 y2[1] (numeric) 0.45288628537906844 absolute error 1.1102230246251565e-16 relative error 2.4514388279519066e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8915682881953289 y1[1] (numeric) 0.891568288195329 absolute error 1.1102230246251565e-16 relative error 1.2452473235363927e-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 0.38812151294127983 Order of pole (three term test) -5.4346042384867905 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] 0.4800000000000003 y2[1] (analytic) 0.4617791755414832 y2[1] (numeric) 0.46177917554148307 absolute error 1.1102230246251565e-16 relative error 2.4042293014259615e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.886994922779284 y1[1] (numeric) 0.8869949227792843 absolute error 2.220446049250313e-16 relative error 2.5033356924894588e-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 0.39370755815361747 Order of pole (three term test) -5.614984418458048 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] 0.4900000000000003 y2[1] (analytic) 0.4706258881711583 y2[1] (numeric) 0.4706258881711582 absolute error 1.1102230246251565e-16 relative error 2.359035175348e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8823328586101213 y1[1] (numeric) 0.8823328586101216 absolute error 2.220446049250313e-16 relative error 2.5165628000616798e-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 0.39913590872343085 Order of pole (three term test) -5.79790339094808 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] 0.5000000000000003 y2[1] (analytic) 0.4794255386042033 y2[1] (numeric) 0.47942553860420317 absolute error 1.1102230246251565e-16 relative error 2.3157360950304263e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8775825618903725 y1[1] (numeric) 0.8775825618903728 absolute error 2.220446049250313e-16 relative error 2.530184789072519e-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 0.40440439672761674 Order of pole (three term test) -5.983287792256877 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] 0.5100000000000003 y2[1] (analytic) 0.4881772468829078 y2[1] (numeric) 0.48817724688290765 absolute error 1.6653345369377348e-16 relative error 3.4113317397956795e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8727445076457511 y1[1] (numeric) 0.8727445076457513 absolute error 2.220446049250313e-16 relative error 2.5442108541479325e-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 0.40951091852765487 Order of pole (three term test) -6.171063275795618 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] 0.5200000000000004 y2[1] (analytic) 0.496880137843737 y2[1] (numeric) 0.49688013784373686 absolute error 1.6653345369377348e-16 relative error 3.351582021701707e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8678191796776498 y1[1] (numeric) 0.8678191796776499 absolute error 1.1102230246251565e-16 relative error 1.2793252910560785e-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 0.41445343560511294 Order of pole (three term test) -6.361154542136995 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] 0.5300000000000004 y2[1] (analytic) 0.5055333412048473 y2[1] (numeric) 0.505533341204847 absolute error 2.220446049250313e-16 relative error 4.392284085473535e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8628070705147608 y1[1] (numeric) 0.862807070514761 absolute error 2.220446049250313e-16 relative error 2.5735139698444625e-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 0.4192299753705602 Order of pole (three term test) -6.5534853694406925 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] 0.5400000000000004 y2[1] (analytic) 0.5141359916531134 y2[1] (numeric) 0.5141359916531132 absolute error 2.220446049250313e-16 relative error 4.3187913028824555e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8577086813638239 y1[1] (numeric) 0.8577086813638242 absolute error 2.220446049250313e-16 relative error 2.588811443204271e-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 0.42383863194558624 Order of pole (three term test) -6.747978644241735 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] 0.5500000000000004 y2[1] (analytic) 0.5226872289306594 y2[1] (numeric) 0.5226872289306592 absolute error 2.220446049250313e-16 relative error 4.248135263976157e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8525245220595056 y1[1] (numeric) 0.8525245220595058 absolute error 2.220446049250313e-16 relative error 2.6045538770969542e-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 0.42827756691762103 Order of pole (three term test) -6.944556392588715 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] 0.5600000000000004 y2[1] (analytic) 0.5311861979208837 y2[1] (numeric) 0.5311861979208835 absolute error 2.220446049250313e-16 relative error 4.1801651811386717e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8472551110134159 y1[1] (numeric) 0.8472551110134162 absolute error 3.3306690738754696e-16 relative error 3.931128925137555e-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 0.43254501006726515 Order of pole (three term test) -7.143139811519042 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] 0.5700000000000004 y2[1] (analytic) 0.5396320487339695 y2[1] (numeric) 0.5396320487339693 absolute error 2.220446049250313e-16 relative error 4.114740876602308e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8419009751622685 y1[1] (numeric) 0.8419009751622688 absolute error 3.3306690738754696e-16 relative error 3.956129250513713e-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 0.4366392600678519 Order of pole (three term test) -7.343649300858054 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] 0.5800000000000004 y2[1] (analytic) 0.5480239367918739 y2[1] (numeric) 0.5480239367918737 absolute error 2.220446049250313e-16 relative error 4.051731868226012e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8364626499151867 y1[1] (numeric) 0.836462649915187 absolute error 3.3306690738754696e-16 relative error 3.9818503243548093e-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 0.440558685156979 Order of pole (three term test) -7.546004495329063 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] 0.5900000000000004 y2[1] (analytic) 0.5563610229127841 y2[1] (numeric) 0.5563610229127839 absolute error 2.220446049250313e-16 relative error 3.991016548257359e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8309406791001632 y1[1] (numeric) 0.8309406791001636 absolute error 3.3306690738754696e-16 relative error 4.00831149280391e-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 0.444301723779751 Order of pole (three term test) -7.750124296960824 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] 0.6000000000000004 y2[1] (analytic) 0.5646424733950357 y2[1] (numeric) 0.5646424733950355 absolute error 2.220446049250313e-16 relative error 3.932481444230361e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8253356149096781 y1[1] (numeric) 0.8253356149096783 absolute error 2.220446049250313e-16 relative error 2.69035530411869e-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 0.44786688520349305 Order of pole (three term test) -7.955926907779122 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] 0.6100000000000004 y2[1] (analytic) 0.5728674601004816 y2[1] (numeric) 0.5728674601004814 absolute error 2.220446049250313e-16 relative error 3.8760205525739655e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8196480178454792 y1[1] (numeric) 0.8196480178454796 absolute error 3.3306690738754696e-16 relative error 4.063535812153175e-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 0.4512527501037049 Order of pole (three term test) -8.163329862769029 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] 0.6200000000000004 y2[1] (analytic) 0.5810351605373054 y2[1] (numeric) 0.5810351605373052 absolute error 2.220446049250313e-16 relative error 3.8215347367222695e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8138784566625337 y1[1] (numeric) 0.813878456662534 absolute error 3.3306690738754696e-16 relative error 4.0923421017107686e-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 0.4544579711210388 Order of pole (three term test) -8.372250063094263 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] 0.6300000000000004 y2[1] (analytic) 0.5891447579422698 y2[1] (numeric) 0.5891447579422696 absolute error 2.220446049250313e-16 relative error 3.7689311825598794e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8080275083121516 y1[1] (numeric) 0.808027508312152 absolute error 3.3306690738754696e-16 relative error 4.1219748580499915e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.394950397096489 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45748127338909406 Order of pole (three term test) -8.582603809559918 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] 0.6400000000000005 y2[1] (analytic) 0.5971954413623924 y2[1] (numeric) 0.5971954413623921 absolute error 3.3306690738754696e-16 relative error 5.5771843573975644e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.8020957578842923 y1[1] (numeric) 0.8020957578842928 absolute error 4.440892098500626e-16 relative error 5.5366108782503427e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.6572449777564 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4603214550328367 Order of pole (three term test) -8.794306836304912 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] 0.6500000000000005 y2[1] (analytic) 0.6051864057360399 y2[1] (numeric) 0.6051864057360397 absolute error 2.220446049250313e-16 relative error 3.669028299718269e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7960837985490555 y1[1] (numeric) 0.796083798549056 absolute error 4.440892098500626e-16 relative error 5.5784229079835664e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.923474785272507 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4629773876374608 Order of pole (three term test) -9.007274344710188 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] 0.6600000000000005 y2[1] (analytic) 0.6131168519734341 y2[1] (numeric) 0.6131168519734339 absolute error 2.220446049250313e-16 relative error 3.621570736644054e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7899922314973647 y1[1] (numeric) 0.7899922314973652 absolute error 4.440892098500626e-16 relative error 5.621437681840597e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.193783518342299 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4654480166875272 Order of pole (three term test) -9.22142103750906 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] 0.6700000000000005 y2[1] (analytic) 0.62098598703656 y2[1] (numeric) 0.6209859870365598 absolute error 2.220446049250313e-16 relative error 3.5756781885636754e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.783821665880849 y1[1] (numeric) 0.7838216658808493 absolute error 3.3306690738754696e-16 relative error 4.2492689585615184e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.468320970380375 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4677323619762183 Order of pole (three term test) -9.436661153085323 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] 0.6800000000000005 y2[1] (analytic) 0.6287930240184689 y2[1] (numeric) 0.6287930240184687 absolute error 2.220446049250313e-16 relative error 3.5312828934709907e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7775727187509276 y1[1] (numeric) 0.777572718750928 absolute error 4.440892098500626e-16 relative error 5.711224161303343e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.747243377423622 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46982951798457107 Order of pole (three term test) -9.65290849994566 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] 0.6900000000000005 y2[1] (analytic) 0.6365371822219683 y2[1] (numeric) 0.6365371822219681 absolute error 2.220446049250313e-16 relative error 3.488321045911842e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7712460149971063 y1[1] (numeric) 0.7712460149971067 absolute error 3.3306690738754696e-16 relative error 4.3185559589412806e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.030713789573444 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47173865423055217 Order of pole (three term test) -9.870076491351806 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] 0.7000000000000005 y2[1] (analytic) 0.6442176872376915 y2[1] (numeric) 0.6442176872376912 absolute error 2.220446049250313e-16 relative error 3.446732514860391e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.764842187284488 y1[1] (numeric) 0.7648421872844885 absolute error 4.440892098500626e-16 relative error 5.806285495662398e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.318902467872372 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47345901558785913 Order of pole (three term test) -10.088078180098565 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] 0.7100000000000005 y2[1] (analytic) 0.6518337710215371 y2[1] (numeric) 0.6518337710215368 absolute error 2.220446049250313e-16 relative error 3.406460585450317e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7583618759905079 y1[1] (numeric) 0.7583618759905082 absolute error 3.3306690738754696e-16 relative error 4.391925780189349e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.611987308688013 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47498992257434275 Order of pole (three term test) -10.306826293423715 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] 0.7200000000000005 y2[1] (analytic) 0.6593846719714735 y2[1] (numeric) 0.6593846719714733 absolute error 2.220446049250313e-16 relative error 3.3674517222419974e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7518057291408946 y1[1] (numeric) 0.751805729140895 absolute error 4.440892098500626e-16 relative error 5.90696761991337e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.910154297872202 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4763307716099531 Order of pole (three term test) -10.52623326803526 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] 0.7300000000000005 y2[1] (analytic) 0.6668696350036982 y2[1] (numeric) 0.666869635003698 absolute error 2.220446049250313e-16 relative error 3.329655351960956e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.74517440234487 y1[1] (numeric) 0.7451744023448704 absolute error 4.440892098500626e-16 relative error 5.95953388163401e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.213597997178866 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4774810352441331 Order of pole (three term test) -10.746211285242115 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] 0.7400000000000005 y2[1] (analytic) 0.6742879116281455 y2[1] (numeric) 0.6742879116281452 absolute error 3.3306690738754696e-16 relative error 4.939535495799097e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7384685587295875 y1[1] (numeric) 0.7384685587295879 absolute error 4.440892098500626e-16 relative error 6.013650880601394e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.522522065663132 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4784402623525866 Order of pole (three term test) -10.966672306173919 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] 0.7500000000000006 y2[1] (analytic) 0.6816387600233346 y2[1] (numeric) 0.6816387600233342 absolute error 3.3306690738754696e-16 relative error 4.886267139153664e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7316888688738205 y1[1] (numeric) 0.7316888688738209 absolute error 4.440892098500626e-16 relative error 6.069372225568812e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.837139819049252 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47920807830336937 Order of pole (three term test) -11.187528107075686 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] 0.7600000000000006 y2[1] (analytic) 0.6889214451105518 y2[1] (numeric) 0.6889214451105514 absolute error 3.3306690738754696e-16 relative error 4.834613724850726e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7248360107409048 y1[1] (numeric) 0.7248360107409052 absolute error 4.440892098500626e-16 relative error 6.126754235018325e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.157674830349677 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47978418509225557 Order of pole (three term test) -11.408690314663177 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] 0.7700000000000006 y2[1] (analytic) 0.6961352386273572 y2[1] (numeric) 0.6961352386273568 absolute error 3.3306690738754696e-16 relative error 4.7845144004531346e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.717910669610943 y1[1] (numeric) 0.7179106696109434 absolute error 4.440892098500626e-16 relative error 6.185856105060086e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.484361575345343 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4801683614473512 Order of pole (three term test) -11.630070441524543 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] 0.7800000000000006 y2[1] (analytic) 0.7032794192004106 y2[1] (numeric) 0.7032794192004103 absolute error 3.3306690738754696e-16 relative error 4.7359114783456256e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.710913538012277 y1[1] (numeric) 0.7109135380122774 absolute error 4.440892098500626e-16 relative error 6.246740090106338e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.817446126902315 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4803604629029364 Order of pole (three term test) -11.851579921554281 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] 0.7900000000000006 y2[1] (analytic) 0.7103532724176083 y2[1] (numeric) 0.7103532724176079 absolute error 3.3306690738754696e-16 relative error 4.6887502362590775e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.7038453156522356 y1[1] (numeric) 0.7038453156522362 absolute error 5.551115123125783e-16 relative error 7.886839621830409e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.157186902506858 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4803604218425276 Order of pole (three term test) -12.073130145404958 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] 0.8000000000000006 y2[1] (analytic) 0.7173560908995231 y2[1] (numeric) 0.7173560908995229 absolute error 2.220446049250313e-16 relative error 3.09531915518554e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6967067093471649 y1[1] (numeric) 0.6967067093471655 absolute error 5.551115123125783e-16 relative error 7.967649871388987e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.481862811708517 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4801682475111702 Order of pole (three term test) -12.294632495942764 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] 0.8100000000000006 y2[1] (analytic) 0.7242871743701429 y2[1] (numeric) 0.7242871743701427 absolute error 2.220446049250313e-16 relative error 3.0656984243594605e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6894984329517466 y1[1] (numeric) 0.6894984329517471 absolute error 4.440892098500626e-16 relative error 6.44075734804667e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.135429470947496 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4797840259969755 Order of pole (three term test) -12.515998383692459 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] 0.8200000000000006 y2[1] (analytic) 0.7311458297268963 y2[1] (numeric) 0.731145829726896 absolute error 3.3306690738754696e-16 relative error 4.555410067947141e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6822212072876132 y1[1] (numeric) 0.6822212072876136 absolute error 4.440892098500626e-16 relative error 6.50946064276835e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.795530018633855 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47920792018193825 Order of pole (three term test) -12.73713928225765 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] 0.8300000000000006 y2[1] (analytic) 0.7379313711099631 y2[1] (numeric) 0.7379313711099629 absolute error 2.220446049250313e-16 relative error 3.009014301574438e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6748757600712666 y1[1] (numeric) 0.6748757600712672 absolute error 5.551115123125783e-16 relative error 8.22538821447608e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.461915236115622 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4784401696620725 Order of pole (three term test) -12.957966763702416 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] 0.8400000000000006 y2[1] (analytic) 0.7446431199708597 y2[1] (numeric) 0.7446431199708595 absolute error 2.220446049250313e-16 relative error 2.981892922528051e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6674628258413077 y1[1] (numeric) 0.6674628258413081 absolute error 4.440892098500626e-16 relative error 6.653392408638004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.134347505438175 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47748109063692634 Order of pole (three term test) -13.178392533879697 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] 0.8500000000000006 y2[1] (analytic) 0.7512804051402932 y2[1] (numeric) 0.7512804051402929 absolute error 2.220446049250313e-16 relative error 2.955548998826437e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6599831458849816 y1[1] (numeric) 0.6599831458849822 absolute error 5.551115123125783e-16 relative error 8.41099527728425e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.812600121936176 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47633107576853995 Order of pole (three term test) -13.398328467693055 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] 0.8600000000000007 y2[1] (analytic) 0.7578425628952774 y2[1] (numeric) 0.7578425628952772 absolute error 2.220446049250313e-16 relative error 2.929956903934341e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6524374681640513 y1[1] (numeric) 0.6524374681640519 absolute error 5.551115123125783e-16 relative error 8.50827151105612e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.496456654646554 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47499059400992694 Order of pole (three term test) -13.617686644277114 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] 0.8700000000000007 y2[1] (analytic) 0.7643289370255055 y2[1] (numeric) 0.7643289370255053 absolute error 2.220446049250313e-16 relative error 2.9050922210161164e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6448265472400007 y1[1] (numeric) 0.6448265472400012 absolute error 5.551115123125783e-16 relative error 8.608695077592223e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.185710350689874 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47346019040317255 Order of pole (three term test) -13.836379382083301 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] 0.8800000000000007 y2[1] (analytic) 0.7707388788989697 y2[1] (numeric) 0.7707388788989695 absolute error 2.220446049250313e-16 relative error 2.880931674839481e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6371511441985797 y1[1] (numeric) 0.6371511441985802 absolute error 5.551115123125783e-16 relative error 8.712399206483537e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.880163580119312 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4717404858472498 Order of pole (three term test) -14.054319273856517 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] 0.8900000000000007 y2[1] (analytic) 0.7770717475268243 y2[1] (numeric) 0.7770717475268241 absolute error 2.220446049250313e-16 relative error 2.857453068287834e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6294120265736963 y1[1] (numeric) 0.6294120265736969 absolute error 5.551115123125783e-16 relative error 8.819525030915208e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.57962731804948 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46983217683567124 Order of pole (three term test) -14.271419221489314 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] 0.9000000000000007 y2[1] (analytic) 0.7833269096274839 y2[1] (numeric) 0.7833269096274836 absolute error 2.220446049250313e-16 relative error 2.8346352231232045e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.621609968270664 y1[1] (numeric) 0.6216099682706645 absolute error 5.551115123125783e-16 relative error 8.930222175440877e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.283920661161687 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46773603516410256 Order of pole (three term test) -14.487592470739369 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] 0.9100000000000007 y2[1] (analytic) 0.7895037396899508 y2[1] (numeric) 0.7895037396899507 absolute error 1.1102230246251565e-16 relative error 1.4062289623367163e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.613745749488811 y1[1] (numeric) 0.6137457494888116 absolute error 5.551115123125783e-16 relative error 9.04464939716374e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.992870375936496 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4654529076080773 Order of pole (three term test) -14.702752645797037 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] 0.9200000000000007 y2[1] (analytic) 0.7956016200363665 y2[1] (numeric) 0.7956016200363664 absolute error 1.1102230246251565e-16 relative error 1.3954509350727679e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.6058201566434622 y1[1] (numeric) 0.6058201566434629 absolute error 6.661338147750939e-16 relative error 1.099557034328139e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.706310476195195 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46298371557096196 Order of pole (three term test) -14.916813783688978 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] 0.9300000000000007 y2[1] (analytic) 0.8016199408837775 y2[1] (numeric) 0.8016199408837775 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.5978339822872977 y1[1] (numeric) 0.5978339822872983 absolute error 6.661338147750939e-16 relative error 1.1142454837151993e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.424081827739286 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46032945470233705 Order of pole (three term test) -15.129690368504567 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] 0.9400000000000007 y2[1] (analytic) 0.8075581004051147 y2[1] (numeric) 0.8075581004051147 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.5897880250310976 y1[1] (numeric) 0.5897880250310983 absolute error 6.661338147750939e-16 relative error 1.1294461509963191e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.146031778065383 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45749119448696246 Order of pole (three term test) -15.341297365431556 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] 0.9500000000000007 y2[1] (analytic) 0.8134155047893742 y2[1] (numeric) 0.8134155047893742 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.5816830894638829 y1[1] (numeric) 0.5816830894638836 absolute error 6.661338147750939e-16 relative error 1.145183394258627e-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 0.45447007780451765 Order of pole (three term test) -15.551550254587632 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] 0.9600000000000007 y2[1] (analytic) 0.8191915683009987 y2[1] (numeric) 0.8191915683009987 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.573519986072456 y1[1] (numeric) 0.5735199860724568 absolute error 7.771561172376096e-16 relative error 1.3550637050326385e-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 0.45126732046030676 Order of pole (three term test) -15.76036506463474 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] 0.9700000000000008 y2[1] (analytic) 0.8248857133384505 y2[1] (numeric) 0.8248857133384505 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.5652995311603537 y1[1] (numeric) 0.5652995311603545 absolute error 7.771561172376096e-16 relative error 1.3747687277263288e-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 0.447884210687142 Order of pole (three term test) -15.967658406162835 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] 0.9800000000000008 y2[1] (analytic) 0.8304973704919709 y2[1] (numeric) 0.8304973704919709 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.5570225467662167 y1[1] (numeric) 0.5570225467662174 absolute error 7.771561172376096e-16 relative error 1.3951968762294703e-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 0.44432210861861543 Order of pole (three term test) -16.173347504830385 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] 0.9900000000000008 y2[1] (analytic) 0.836025978600521 y2[1] (numeric) 0.836025978600521 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) 0.548689860581587 y1[1] (numeric) 0.5486898605815878 absolute error 7.771561172376096e-16 relative error 1.416385052958439e-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 0.44058244573399946 Order of pole (three term test) -16.377350234248127 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] 1.0000000000000007 y2[1] (analytic) 0.8414709848078968 y2[1] (numeric) 0.841470984807897 absolute error 1.1102230246251565e-16 relative error 1.3193836087867181e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.5403023058681392 y1[1] (numeric) 0.5403023058681399 absolute error 6.661338147750939e-16 relative error 1.2328909344644994e-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 0.43666672427500086 Order of pole (three term test) -16.579585148594074 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] 1.0100000000000007 y2[1] (analytic) 0.8468318446180155 y2[1] (numeric) 0.8468318446180156 absolute error 1.1102230246251565e-16 relative error 1.3110312651574294e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.5318607213743549 y1[1] (numeric) 0.5318607213743556 absolute error 6.661338147750939e-16 relative error 1.2524591269943202e-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 0.43257651663463387 Order of pole (three term test) -16.779971514946332 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] 1.0200000000000007 y2[1] (analytic) 0.8521080219493633 y2[1] (numeric) 0.8521080219493634 absolute error 1.1102230246251565e-16 relative error 1.3029134757883218e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.523365951251649 y1[1] (numeric) 0.5233659512516496 absolute error 6.661338147750939e-16 relative error 1.27278783264752e-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 0.428313464718461 Order of pole (three term test) -16.978429345321707 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] 1.0300000000000007 y2[1] (analytic) 0.8572989891886037 y2[1] (numeric) 0.8572989891886039 absolute error 2.220446049250313e-16 relative error 2.5900486029405784e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.5148188449699548 y1[1] (numeric) 0.5148188449699554 absolute error 6.661338147750939e-16 relative error 1.2939188634673425e-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 0.42387927927847946 Order of pole (three term test) -17.174879428407493 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] 1.0400000000000007 y2[1] (analytic) 0.8624042272433388 y2[1] (numeric) 0.862404227243339 absolute error 2.220446049250313e-16 relative error 2.574716100763946e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.5062202572327777 y1[1] (numeric) 0.5062202572327785 absolute error 7.771561172376096e-16 relative error 1.5352133900881134e-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 0.41927573921993333 Order of pole (three term test) -17.36924336097411 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] 1.0500000000000007 y2[1] (analytic) 0.8674232255940173 y2[1] (numeric) 0.8674232255940175 absolute error 2.220446049250313e-16 relative error 2.5598185334843167e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.49757104789172635 y1[1] (numeric) 0.4975710478917271 absolute error 7.771561172376096e-16 relative error 1.5618997940706593e-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 0.41450469088134007 Order of pole (three term test) -17.561443578956663 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] 1.0600000000000007 y2[1] (analytic) 0.8723554823449866 y2[1] (numeric) 0.8723554823449869 absolute error 3.3306690738754696e-16 relative error 3.818018160351636e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.48887208186052694 y1[1] (numeric) 0.48887208186052766 absolute error 7.216449660063518e-16 relative error 1.4761427227751448e-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 0.4095680472880373 Order of pole (three term test) -17.751403388193197 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] 1.0700000000000007 y2[1] (analytic) 0.877200504274682 y2[1] (numeric) 0.8772005042746823 absolute error 3.3306690738754696e-16 relative error 3.7969301860233784e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.48012422902853347 y1[1] (numeric) 0.48012422902853424 absolute error 7.771561172376096e-16 relative error 1.6186563190324304e-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 0.4044677873795562 Order of pole (three term test) -17.939046994808066 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] 1.0800000000000007 y2[1] (analytic) 0.8819578068849478 y2[1] (numeric) 0.8819578068849482 absolute error 3.3306690738754696e-16 relative error 3.776449449026713e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.47132836417373936 y1[1] (numeric) 0.47132836417374013 absolute error 7.771561172376096e-16 relative error 1.6488634597665273e-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 0.3992059552111453 Order of pole (three term test) -18.124299535228484 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] 1.0900000000000007 y2[1] (analytic) 0.8866269144494876 y2[1] (numeric) 0.8866269144494879 absolute error 3.3306690738754696e-16 relative error 3.756562111520722e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.46248536687530023 y1[1] (numeric) 0.46248536687530095 absolute error 7.216449660063518e-16 relative error 1.5603628086268266e-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 0.39378465912977734 Order of pole (three term test) -18.30708710582285 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] 1.1000000000000008 y2[1] (analytic) 0.8912073600614356 y2[1] (numeric) 0.8912073600614361 absolute error 4.440892098500626e-16 relative error 4.983006534185817e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.4535961214255767 y1[1] (numeric) 0.4535961214255775 absolute error 7.771561172376096e-16 relative error 1.713321786780579e-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 0.38820607092497117 Order of pole (three term test) -18.48733679214955 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] 1.1100000000000008 y2[1] (analytic) 0.895698685680048 y2[1] (numeric) 0.8956986856800484 absolute error 4.440892098500626e-16 relative error 4.9580201126776634e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.4446615167417062 y1[1] (numeric) 0.44466151674170695 absolute error 7.771561172376096e-16 relative error 1.7477476416944846e-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 0.38247242495478617 Order of pole (three term test) -18.664976697804907 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] 1.1200000000000008 y2[1] (analytic) 0.9001004421765053 y2[1] (numeric) 0.9001004421765058 absolute error 4.440892098500626e-16 relative error 4.9337739327871467e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.4356824462767115 y1[1] (numeric) 0.43568244627671227 absolute error 7.771561172376096e-16 relative error 1.7837673376081365e-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 0.37658601724734225 Order of pole (three term test) -18.839935972859298 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] 1.1300000000000008 y2[1] (analytic) 0.9044121893788263 y2[1] (numeric) 0.9044121893788267 absolute error 4.440892098500626e-16 relative error 4.910252372373205e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.4266598079301566 y1[1] (numeric) 0.4266598079301574 absolute error 7.771561172376096e-16 relative error 1.8214889305083748e-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 0.370549204578233 Order of pole (three term test) -19.012144841870633 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] 1.1400000000000008 y2[1] (analytic) 0.9086334961158836 y2[1] (numeric) 0.9086334961158841 absolute error 4.440892098500626e-16 relative error 4.887440444892262e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.4175945039583574 y1[1] (numeric) 0.4175945039583582 absolute error 7.771561172376096e-16 relative error 1.8610305209263667e-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 0.3643644035242091 Order of pole (three term test) -19.181534631464384 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] 1.1500000000000008 y2[1] (analytic) 0.9127639402605214 y2[1] (numeric) 0.9127639402605219 absolute error 4.440892098500626e-16 relative error 4.8653237738917526e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.40848744088415656 y1[1] (numeric) 0.4084874408841574 absolute error 8.326672684688674e-16 relative error 2.03841583640023e-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 0.3580340894935156 Order of pole (three term test) -19.34803779746978 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] 1.1600000000000008 y2[1] (analytic) 0.9168031087717673 y2[1] (numeric) 0.9168031087717677 absolute error 4.440892098500626e-16 relative error 4.843888568888088e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.39933952940627243 y1[1] (numeric) 0.39933952940627326 absolute error 8.326672684688674e-16 relative error 2.0851110575175348e-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 0.35156079573327464 Order of pole (three term test) -19.51158795160176 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] 1.1700000000000008 y2[1] (analytic) 0.920750597736136 y2[1] (numeric) 0.9207505977361364 absolute error 4.440892098500626e-16 relative error 4.823121602548527e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.39015168430822944 y1[1] (numeric) 0.39015168430823033 absolute error 8.881784197001252e-16 relative error 2.276495156684861e-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 0.34494711231431524 Order of pole (three term test) -19.672119887678654 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] 1.1800000000000008 y2[1] (analytic) 0.9246060124080206 y2[1] (numeric) 0.9246060124080211 absolute error 4.440892098500626e-16 relative error 4.8030101891019275e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.380924824366881 y1[1] (numeric) 0.38092482436688185 absolute error 8.326672684688674e-16 relative error 2.1859096997755616e-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 0.3381956850938603 Order of pole (three term test) -19.829569607365485 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] 1.1900000000000008 y2[1] (analytic) 0.928368967249167 y2[1] (numeric) 0.9283689672491674 absolute error 4.440892098500626e-16 relative error 4.78354216390855e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.37165987226053215 y1[1] (numeric) 0.371659872260533 absolute error 8.326672684688674e-16 relative error 2.2404013201758054e-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 0.3313092146564861 Order of pole (three term test) -19.98387434543328 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] 1.2000000000000008 y2[1] (analytic) 0.9320390859672266 y2[1] (numeric) 0.9320390859672271 absolute error 4.440892098500626e-16 relative error 4.764705864123795e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.3623577544766728 y1[1] (numeric) 0.3623577544766736 absolute error 8.326672684688674e-16 relative error 2.297914859505156e-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 0.3242904552337793 Order of pole (three term test) -20.13497259452473 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] 1.2100000000000009 y2[1] (analytic) 0.9356160015533862 y2[1] (numeric) 0.9356160015533866 absolute error 4.440892098500626e-16 relative error 4.746490110395177e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.35301940121932956 y1[1] (numeric) 0.3530194012193304 absolute error 8.326672684688674e-16 relative error 2.358701152380955e-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 0.3171422136031259 Order of pole (three term test) -20.282804129416903 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] 1.2200000000000009 y2[1] (analytic) 0.9390993563190678 y2[1] (numeric) 0.9390993563190683 absolute error 4.440892098500626e-16 relative error 4.728884189535949e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.3436457463160462 y1[1] (numeric) 0.34364574631604705 absolute error 8.326672684688674e-16 relative error 2.423039648810537e-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 0.309867347966067 Order of pole (three term test) -20.427310030771793 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] 1.2300000000000009 y2[1] (analytic) 0.9424888019316978 y2[1] (numeric) 0.9424888019316982 absolute error 3.3306690738754696e-16 relative error 3.533908378591901e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.3342377271245018 y1[1] (numeric) 0.3342377271245026 absolute error 8.326672684688674e-16 relative error 2.491242612353881e-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 0.3024687668066736 Order of pole (three term test) -20.568432708365805 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] 1.2400000000000009 y2[1] (analytic) 0.9457839994495393 y2[1] (numeric) 0.9457839994495396 absolute error 3.3306690738754696e-16 relative error 3.521595920224882e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.3247962844387754 y1[1] (numeric) 0.32479628443877623 absolute error 8.326672684688674e-16 relative error 2.56366007975632e-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 0.29494942773039223 Order of pole (three term test) -20.706115923789312 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] 1.2500000000000009 y2[1] (analytic) 0.9489846193555865 y2[1] (numeric) 0.9489846193555869 absolute error 3.3306690738754696e-16 relative error 3.5097187098113135e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.31532236239526784 y1[1] (numeric) 0.3153223623952687 absolute error 8.326672684688674e-16 relative error 2.6406857482092856e-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 0.28731233628382014 Order of pole (three term test) -20.840304812607908 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] 1.260000000000001 y2[1] (analytic) 0.9520903415905161 y2[1] (numeric) 0.9520903415905164 absolute error 3.3306690738754696e-16 relative error 3.498269994327865e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.30581690837828845 y1[1] (numeric) 0.30581690837828934 absolute error 8.881784197001252e-16 relative error 2.9042815991111553e-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 0.27956054475588166 Order of pole (three term test) -20.970945905976876 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] 1.270000000000001 y2[1] (analytic) 0.9551008555846925 y2[1] (numeric) 0.9551008555846929 absolute error 4.440892098500626e-16 relative error 4.649657753454745e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.29628087292531785 y1[1] (numeric) 0.29628087292531874 absolute error 8.881784197001252e-16 relative error 2.9977582114252927e-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 0.2716971509608772 Order of pole (three term test) -21.09798715170077 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] 1.280000000000001 y2[1] (analytic) 0.9580158602892253 y2[1] (numeric) 0.9580158602892257 absolute error 4.440892098500626e-16 relative error 4.635509997882415e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.2867152096319546 y1[1] (numeric) 0.2867152096319555 absolute error 8.881784197001252e-16 relative error 3.097772248776917e-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 0.2637252970038854 Order of pole (three term test) -21.221377934730363 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] 1.290000000000001 y2[1] (analytic) 0.9608350642060729 y2[1] (numeric) 0.9608350642060733 absolute error 4.440892098500626e-16 relative error 4.6219088623395365e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.27712087505655675 y1[1] (numeric) 0.27712087505655764 absolute error 8.881784197001252e-16 relative error 3.2050217058489717e-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 0.25564816802900725 Order of pole (three term test) -21.341069097088997 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] 1.300000000000001 y2[1] (analytic) 0.9635581854171932 y2[1] (numeric) 0.9635581854171936 absolute error 4.440892098500626e-16 relative error 4.6088468405027834e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.2674988286245865 y1[1] (numeric) 0.2674988286245874 absolute error 8.881784197001252e-16 relative error 3.3203076972969233e-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 0.24746899095094 Order of pole (three term test) -21.457012957221185 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] 1.310000000000001 y2[1] (analytic) 0.9661849516127343 y2[1] (numeric) 0.9661849516127347 absolute error 3.3306690738754696e-16 relative error 3.447237579426166e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.25785003253266875 y1[1] (numeric) 0.25785003253266964 absolute error 8.881784197001252e-16 relative error 3.4445542278052494e-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 0.23919103317038673 Order of pole (three term test) -21.569163328755987 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] 1.320000000000001 y2[1] (analytic) 0.9687151001182654 y2[1] (numeric) 0.9687151001182659 absolute error 4.440892098500626e-16 relative error 4.584311835294464e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.24817545165237204 y1[1] (numeric) 0.24817545165237292 absolute error 8.881784197001252e-16 relative error 3.5788326918982603e-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 0.2308176012737976 Order of pole (three term test) -21.67747553867824 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] 1.330000000000001 y2[1] (analytic) 0.9711483779210448 y2[1] (numeric) 0.9711483779210452 absolute error 4.440892098500626e-16 relative error 4.572825532600204e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.23847605343372227 y1[1] (numeric) 0.23847605343372316 absolute error 8.881784197001252e-16 relative error 3.724392478454737e-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 0.22235203971795678 Order of pole (three term test) -21.78190644490091 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] 1.340000000000001 y2[1] (analytic) 0.9734845416953196 y2[1] (numeric) 0.9734845416953201 absolute error 4.440892098500626e-16 relative error 4.561851686691223e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.22875280780845852 y1[1] (numeric) 0.2287528078084594 absolute error 8.881784197001252e-16 relative error 3.8826995314690226e-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 0.21379772949992987 Order of pole (three term test) -21.882414453231846 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] 1.350000000000001 y2[1] (analytic) 0.9757233578266593 y2[1] (numeric) 0.9757233578266598 absolute error 4.440892098500626e-16 relative error 4.551384429693612e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.21900668709304064 y1[1] (numeric) 0.21900668709304152 absolute error 8.881784197001252e-16 relative error 4.0554853894611915e-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 0.20515808681289016 Order of pole (three term test) -21.978959533728826 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] 1.360000000000001 y2[1] (analytic) 0.9778646024353164 y2[1] (numeric) 0.9778646024353169 absolute error 5.551115123125783e-16 relative error 5.676772744714396e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.2092386658914184 y1[1] (numeric) 0.2092386658914193 absolute error 8.881784197001252e-16 relative error 4.2448101832241347e-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 0.19643656168834664 Order of pole (three term test) -22.071503236436616 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] 1.370000000000001 y2[1] (analytic) 0.9799080613986144 y2[1] (numeric) 0.979908061398615 absolute error 5.551115123125783e-16 relative error 5.6649346421364507e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.199449720997572 y1[1] (numeric) 0.19944972099757288 absolute error 8.881784197001252e-16 relative error 4.4531444579505703e-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 0.1876366366253078 Order of pole (three term test) -22.160008706500246 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] 1.380000000000001 y2[1] (analytic) 0.9818535303723599 y2[1] (numeric) 0.9818535303723605 absolute error 5.551115123125783e-16 relative error 5.653709999922868e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.18964083129783338 y1[1] (numeric) 0.18964083129783427 absolute error 8.881784197001252e-16 relative error 4.683476726091911e-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 0.17876182520690992 Order of pole (three term test) -22.244440698648972 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] 1.390000000000001 y2[1] (analytic) 0.9837008148112767 y2[1] (numeric) 0.9837008148112772 absolute error 5.551115123125783e-16 relative error 5.6430929399918876e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.17981297767299848 y1[1] (numeric) 0.17981297767299936 absolute error 8.881784197001252e-16 relative error 4.939456713270914e-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 0.16981567070505119 Order of pole (three term test) -22.32476559104536 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] 1.400000000000001 y2[1] (analytic) 0.9854497299884604 y2[1] (numeric) 0.9854497299884609 absolute error 5.551115123125783e-16 relative error 5.633077927973846e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.16996714290023993 y1[1] (numeric) 0.16996714290024081 absolute error 8.881784197001252e-16 relative error 5.225588925863338e-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 0.1608017446735723 Order of pole (three term test) -22.400951398494552 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] 1.410000000000001 y2[1] (analytic) 0.9871001010138505 y2[1] (numeric) 0.987100101013851 absolute error 5.551115123125783e-16 relative error 5.6236597660401744e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.16010431155483018 y1[1] (numeric) 0.16010431155483107 absolute error 8.881784197001252e-16 relative error 5.547498446948163e-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 0.15172364553053025 Order of pole (three term test) -22.472967785008592 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] 1.420000000000001 y2[1] (analytic) 0.98865176285172 y2[1] (numeric) 0.9886517628517205 absolute error 5.551115123125783e-16 relative error 5.614833586210224e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.15022546991168476 y1[1] (numeric) 0.15022546991168564 absolute error 8.881784197001252e-16 relative error 5.912302489200211e-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 0.1425849971301137 Order of pole (three term test) -22.540786075721368 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] 1.430000000000001 y2[1] (analytic) 0.990104560337178 y2[1] (numeric) 0.9901045603371785 absolute error 5.551115123125783e-16 relative error 5.606594844119658e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.14033160584673562 y1[1] (numeric) 0.1403316058467365 absolute error 8.881784197001252e-16 relative error 6.329140284122145e-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 0.13338944732475608 Order of pole (three term test) -22.604379268149597 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] 1.440000000000001 y2[1] (analytic) 0.9914583481916867 y2[1] (numeric) 0.9914583481916872 absolute error 5.551115123125783e-16 relative error 5.5989393132353157e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.13042370873814443 y1[1] (numeric) 0.13042370873814535 absolute error 9.159339953157541e-16 relative error 7.022756860523742e-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 0.1241406665179995 Order of pole (three term test) -22.663722042795747 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] 1.450000000000001 y2[1] (analytic) 0.9927129910375886 y2[1] (numeric) 0.9927129910375893 absolute error 6.661338147750939e-16 relative error 6.710235695403235e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.12050276936736551 y1[1] (numeric) 0.12050276936736642 absolute error 9.159339953157541e-16 relative error 7.60093730728654e-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 0.11484234620867244 Order of pole (three term test) -22.718790773088937 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] 1.460000000000001 y2[1] (analytic) 0.993868363411645 y2[1] (numeric) 0.9938683634116456 absolute error 6.661338147750939e-16 relative error 6.702435043695938e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.11056977982006848 y1[1] (numeric) 0.1105697798200694 absolute error 9.159339953157541e-16 relative error 8.283764305276401e-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 0.10549819752694088 Order of pole (three term test) -22.7695635346602 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] 1.470000000000001 y2[1] (analytic) 0.994924349777581 y2[1] (numeric) 0.9949243497775817 absolute error 6.661338147750939e-16 relative error 6.695321256576046e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.10062573338693062 y1[1] (numeric) 0.10062573338693154 absolute error 9.159339953157541e-16 relative error 9.102383301831584e-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 0.09611194976280192 Order of pole (three term test) -22.816020113948586 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] 1.480000000000001 y2[1] (analytic) 0.9958808445376401 y2[1] (numeric) 0.9958808445376409 absolute error 7.771561172376096e-16 relative error 7.803705849954585e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.09067162446430857 y1[1] (numeric) 0.09067162446430949 absolute error 9.159339953157541e-16 relative error 1.0101660808738425e-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 0.08668734888758402 Order of pole (three term test) -22.858142016134977 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] 1.490000000000001 y2[1] (analytic) 0.9967377520431435 y2[1] (numeric) 0.9967377520431443 absolute error 7.771561172376096e-16 relative error 7.796996909614101e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.08070844845479952 y1[1] (numeric) 0.08070844845480044 absolute error 9.159339953157541e-16 relative error 1.1348675545766683e-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 0.07722815606902807 Order of pole (three term test) -22.895912472400706 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] 1.500000000000001 y2[1] (analytic) 0.9974949866040546 y2[1] (numeric) 0.9974949866040553 absolute error 7.771561172376096e-16 relative error 7.791077926951965e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.0707372016677018 y1[1] (numeric) 0.07073720166770273 absolute error 9.298117831235686e-16 relative error 1.3144593809230588e-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 0.06773814618051774 Order of pole (three term test) -22.92931644650821 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] 1.5100000000000011 y2[1] (analytic) 0.9981524724975482 y2[1] (numeric) 0.998152472497549 absolute error 7.771561172376096e-16 relative error 7.785945921598852e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.06075888121938479 y1[1] (numeric) 0.06075888121938571 absolute error 9.228728892196614e-16 relative error 1.5189102740180538e-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 0.058221106305038434 Order of pole (three term test) -22.958340640701387 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] 1.5200000000000011 y2[1] (analytic) 0.9987101439755831 y2[1] (numeric) 0.9987101439755839 absolute error 7.771561172376096e-16 relative error 7.781598313840796e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.05077448493357807 y1[1] (numeric) 0.050774484933578994 absolute error 9.228728892196614e-16 relative error 1.8175918287047933e-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 0.04868083423443649 Order of pole (three term test) -22.982973500923407 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] 1.5300000000000011 y2[1] (analytic) 0.999167945271476 y2[1] (numeric) 0.9991679452714769 absolute error 8.881784197001252e-16 relative error 8.889180481653715e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.040785011241589925 y1[1] (numeric) 0.04078501124159085 absolute error 9.228728892196614e-16 relative error 2.2627746349094423e-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 0.039121136964559856 Order of pole (three term test) -23.003205221350072 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] 1.5400000000000011 y2[1] (analytic) 0.9995258306054791 y2[1] (numeric) 0.99952583060548 absolute error 8.881784197001252e-16 relative error 8.885997665133843e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.03079145908246501 y1[1] (numeric) 0.030791459082465937 absolute error 9.26342336171615e-16 relative error 3.0084392353434933e-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 0.029545829186857865 Order of pole (three term test) -23.019027748237068 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] 1.5500000000000012 y2[1] (analytic) 0.999783764189357 y2[1] (numeric) 0.9997837641893579 absolute error 8.881784197001252e-16 relative error 8.883705172190674e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.02079482780309132 y1[1] (numeric) 0.020794827803092244 absolute error 9.228728892196614e-16 relative error 4.437992456386048e-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 0.019958731777021347 Order of pole (three term test) -23.030434783079688 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] 1.5600000000000012 y2[1] (analytic) 0.9999417202299663 y2[1] (numeric) 0.9999417202299672 absolute error 8.881784197001252e-16 relative error 8.882301855510762e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.010796117058266282 y1[1] (numeric) 0.010796117058267206 absolute error 9.246076126956382e-16 relative error 8.56426072175359e-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 0.010363670281244094 Order of pole (three term test) -23.037421785083772 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] 1.5700000000000012 y2[1] (analytic) 0.9999996829318346 y2[1] (numeric) 0.9999996829318355 absolute error 8.881784197001252e-16 relative error 8.881787013133166e-14% Correct digits 16 h 0.01 y1[1] (analytic) 0.0007963267107321531 y1[1] (numeric) 0.0007963267107330765 absolute error 9.234149903059041e-16 relative error 1.1595931391738754e-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 0.000764473400688261 Order of pole (three term test) -23.039985972947157 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] 1.5800000000000012 y2[1] (analytic) 0.9999576464987401 y2[1] (numeric) 0.999957646498741 absolute error 8.881784197001252e-16 relative error 8.882160387592419e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.009203543268809447 y1[1] (numeric) -0.009203543268808524 absolute error 9.228728892196614e-16 relative error 1.0027365138242486e-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 Radius of convergence (three term test) for eq 2 0.008874468381578255 Order of pole (three term test) -0.8949050896709202 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y2[1] (analytic) 0.9998156151342908 y2[1] (numeric) 0.9998156151342918 absolute error 9.992007221626409e-16 relative error 9.993849936304832e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.01920249290169376 y1[1] (numeric) -0.019202492901692837 absolute error 9.228728892196614e-16 relative error 4.80600562616669e-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 Radius of convergence (three term test) for eq 2 0.018513266009389667 Order of pole (three term test) -0.9017721893789759 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y2[1] (analytic) 0.9995736030415051 y2[1] (numeric) 0.9995736030415061 absolute error 9.992007221626409e-16 relative error 9.996269600580391e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.029199522301289926 y1[1] (numeric) -0.029199522301289006 absolute error 9.194034422677078e-16 relative error 3.1486934367658885e-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 Radius of convergence (three term test) for eq 2 0.028144643333266304 Order of pole (three term test) -0.9134710156510109 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y2[1] (analytic) 0.9992316344213905 y2[1] (numeric) 0.9992316344213915 absolute error 9.992007221626409e-16 relative error 9.999690639710706e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.03919363177298882 y1[1] (numeric) -0.0391936317729879 absolute error 9.159339953157541e-16 relative error 2.336945962601483e-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 Radius of convergence (three term test) for eq 2 0.03776474002241432 Order of pole (three term test) -0.9299968698555368 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y2[1] (analytic) 0.998789743470524 y2[1] (numeric) 0.998789743470525 absolute error 9.992007221626409e-16 relative error 1.0004114766844611e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.04918382191417166 y1[1] (numeric) -0.04918382191417075 absolute error 9.08995101411847e-16 relative error 1.8481587360130146e-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 Radius of convergence (three term test) for eq 2 0.04736970029524608 Order of pole (three term test) -0.9513431147005369 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y2[1] (analytic) 0.9982479743776324 y2[1] (numeric) 0.9982479743776334 absolute error 9.992007221626409e-16 relative error 1.000954419953221e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.05916909371414947 y1[1] (numeric) -0.05916909371414856 absolute error 9.08995101411847e-16 relative error 1.536266730403669e-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 Radius of convergence (three term test) for eq 2 0.0569556744742549 Order of pole (three term test) -0.9775011769318743 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y2[1] (analytic) 0.9976063813191736 y2[1] (numeric) 0.9976063813191746 absolute error 9.992007221626409e-16 relative error 1.0015981662440442e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.06914844865406328 y1[1] (numeric) -0.06914844865406236 absolute error 9.159339953157541e-16 relative error 1.3245908088234925e-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 Radius of convergence (three term test) for eq 2 0.06651882053836844 Order of pole (three term test) -1.0084605508186815 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y2[1] (analytic) 0.9968650284539188 y2[1] (numeric) 0.9968650284539198 absolute error 9.992007221626409e-16 relative error 1.0023430390695364e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.07912088880673519 y1[1] (numeric) -0.07912088880673428 absolute error 9.159339953157541e-16 relative error 1.1576386579188491e-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 Radius of convergence (three term test) for eq 2 0.07605530567213965 Order of pole (three term test) -1.0442088024242426 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y2[1] (analytic) 0.9960239899165366 y2[1] (numeric) 0.9960239899165376 absolute error 9.992007221626409e-16 relative error 1.0031894133858868e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.08908541693646028 y1[1] (numeric) -0.08908541693645938 absolute error 9.020562075079397e-16 relative error 1.0125744914583793e-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 Radius of convergence (three term test) for eq 2 0.08556130781113584 Order of pole (three term test) -1.0847315746605615 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y2[1] (analytic) 0.9950833498101801 y2[1] (numeric) 0.9950833498101811 absolute error 9.992007221626409e-16 relative error 1.0041377160548874e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.09904103659872934 y1[1] (numeric) -0.09904103659872844 absolute error 9.020562075079397e-16 relative error 9.107903536618605e-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 Radius of convergence (three term test) for eq 2 0.09503301718288724 Order of pole (three term test) -1.1300125931244465 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y2[1] (analytic) 0.9940432021980758 y2[1] (numeric) 0.9940432021980768 absolute error 9.992007221626409e-16 relative error 1.0051884263713694e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.10898675223987243 y1[1] (numeric) -0.10898675223987155 absolute error 8.881784197001252e-16 relative error 8.149416341403631e-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 Radius of convergence (three term test) for eq 2 0.10446663784276024 Order of pole (three term test) -1.1800336727126428 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y2[1] (analytic) 0.9929036510941184 y2[1] (numeric) 0.9929036510941194 absolute error 9.992007221626409e-16 relative error 1.0063420766572703e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.11892156929661354 y1[1] (numeric) -0.11892156929661266 absolute error 8.881784197001252e-16 relative error 7.468606619921364e-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 Radius of convergence (three term test) for eq 2 0.11385838920412135 Order of pole (three term test) -1.2347747250131897 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y2[1] (analytic) 0.9916648104524685 y2[1] (numeric) 0.9916648104524695 absolute error 9.992007221626409e-16 relative error 1.0075992529237112e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.12884449429552597 y1[1] (numeric) -0.12884449429552508 absolute error 8.881784197001252e-16 relative error 6.893413836240006e-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 Radius of convergence (three term test) for eq 2 0.12320450756215931 Order of pole (three term test) -1.2942137664698514 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y2[1] (analytic) 0.9903268041561579 y2[1] (numeric) 0.9903268041561589 absolute error 9.992007221626409e-16 relative error 1.0089605956026246e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.13875453495237888 y1[1] (numeric) -0.138754534952378 absolute error 8.881784197001252e-16 relative error 6.401076692772252e-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 Radius of convergence (three term test) for eq 2 0.13250124761074028 Order of pole (three term test) -1.3583269273161624 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y2[1] (analytic) 0.9888897660047012 y2[1] (numeric) 0.9888897660047024 absolute error 1.1102230246251565e-15 relative error 1.1226964448329405e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.14865070027136496 y1[1] (numeric) -0.14865070027136407 absolute error 8.881784197001252e-16 relative error 5.974935994776593e-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 Radius of convergence (three term test) for eq 2 0.14174488395166782 Order of pole (three term test) -1.427088461275271 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y2[1] (analytic) 0.9873538397007162 y2[1] (numeric) 0.9873538397007173 absolute error 1.1102230246251565e-15 relative error 1.1244429099112878e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.15853200064419906 y1[1] (numeric) -0.15853200064419817 absolute error 8.881784197001252e-16 relative error 5.602518205100474e-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 Radius of convergence (three term test) for eq 2 0.15093171259572805 Order of pole (three term test) -1.5004707560214683 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y2[1] (analytic) 0.9857191788355533 y2[1] (numeric) 0.9857191788355544 absolute error 1.1102230246251565e-15 relative error 1.1263076223561783e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.16839744794907832 y1[1] (numeric) -0.16839744794907743 absolute error 8.881784197001252e-16 relative error 5.274298574695155e-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 Radius of convergence (three term test) for eq 2 0.16005805245490146 Order of pole (three term test) -1.5784443443989504 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y2[1] (analytic) 0.9839859468739367 y2[1] (numeric) 0.9839859468739378 absolute error 1.1102230246251565e-15 relative error 1.1282915453744713e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.1782460556494934 y1[1] (numeric) -0.17824605564949253 absolute error 8.604228440844963e-16 relative error 4.827163445212213e-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 Radius of convergence (three term test) for eq 2 0.16912024682512733 Order of pole (three term test) -1.660977916393046 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y2[1] (analytic) 0.9821543171376182 y2[1] (numeric) 0.9821543171376194 absolute error 1.1102230246251565e-15 relative error 1.1303957079380159e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.18807683889288143 y1[1] (numeric) -0.18807683889288054 absolute error 8.881784197001252e-16 relative error 4.722423159217305e-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 Radius of convergence (three term test) for eq 2 0.1781146648590105 Order of pole (three term test) -1.7480383318488217 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y2[1] (analytic) 0.9802244727880453 y2[1] (numeric) 0.9802244727880464 absolute error 1.1102230246251565e-15 relative error 1.1326212061073698e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.19788881460911031 y1[1] (numeric) -0.19788881460910945 absolute error 8.604228440844963e-16 relative error 4.3480115123438847e-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 Radius of convergence (three term test) for eq 2 0.1870377030278668 Order of pole (three term test) -1.8395906339316739 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y2[1] (analytic) 0.9781966068080444 y2[1] (numeric) 0.9781966068080455 absolute error 1.1102230246251565e-15 relative error 1.134969204450553e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.2076810016087851 y1[1] (numeric) -0.20768100160878425 absolute error 8.604228440844963e-16 relative error 4.1430021880638867e-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 Radius of convergence (three term test) for eq 2 0.19588578657250527 Order of pole (three term test) -1.9355980633241852 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y2[1] (analytic) 0.9760709219825239 y2[1] (numeric) 0.9760709219825251 absolute error 1.2212453270876722e-15 relative error 1.2511850313163392e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.21745242068136594 y1[1] (numeric) -0.21745242068136508 absolute error 8.604228440844963e-16 relative error 3.956832678102388e-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 Radius of convergence (three term test) for eq 2 0.20465537094215178 Order of pole (three term test) -2.0360220731532146 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y2[1] (analytic) 0.9738476308781949 y2[1] (numeric) 0.9738476308781961 absolute error 1.2212453270876722e-15 relative error 1.2540414828409853e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.22720209469308839 y1[1] (numeric) -0.22720209469308753 absolute error 8.604228440844963e-16 relative error 3.787037462162407e-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 Radius of convergence (three term test) for eq 2 0.21334294322092448 Order of pole (three term test) -2.1408223446409056 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y2[1] (analytic) 0.971526955822315 y2[1] (numeric) 0.9715269558223163 absolute error 1.3322676295501878e-15 relative error 1.3713130876770543e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.23692904868467599 y1[1] (numeric) -0.23692904868467513 absolute error 8.604228440844963e-16 relative error 3.63156332607242e-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 Radius of convergence (three term test) for eq 2 0.22194502354127857 Order of pole (three term test) -2.249956803472989 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y2[1] (analytic) 0.9691091288804561 y2[1] (numeric) 0.9691091288804573 absolute error 1.2212453270876722e-15 relative error 1.260173174200197e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.2466323099688353 y1[1] (numeric) -0.24663230996883445 absolute error 8.604228440844963e-16 relative error 3.4886866371775056e-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 Radius of convergence (three term test) for eq 2 0.23045816648383566 Order of pole (three term test) -2.3633816368773912 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y2[1] (analytic) 0.9665943918332972 y2[1] (numeric) 0.9665943918332985 absolute error 1.3322676295501878e-15 relative error 1.3783109449076508e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.256310908227524 y1[1] (numeric) -0.25631090822752317 absolute error 8.326672684688674e-16 relative error 3.248661066464323e-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 Radius of convergence (three term test) for eq 2 0.2388789624630327 Order of pole (three term test) -2.481051311405986 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y2[1] (analytic) 0.9639829961524478 y2[1] (numeric) 0.9639829961524491 absolute error 1.3322676295501878e-15 relative error 1.38204474027828e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.26596387560898166 y1[1] (numeric) -0.2659638756089808 absolute error 8.326672684688674e-16 relative error 3.1307532519681334e-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 Radius of convergence (three term test) for eq 2 0.24720403909801897 Order of pole (three term test) -2.602918591411918 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y2[1] (analytic) 0.9612752029752996 y2[1] (numeric) 0.9612752029753009 absolute error 1.3322676295501878e-15 relative error 1.3859377891228316e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.2755902468245142 y1[1] (numeric) -0.2755902468245134 absolute error 8.326672684688674e-16 relative error 3.0213959966409094e-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 Radius of convergence (three term test) for eq 2 0.2554300625682415 Order of pole (three term test) -2.7289345582146747 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y2[1] (analytic) 0.9584712830789138 y2[1] (numeric) 0.9584712830789152 absolute error 1.3322676295501878e-15 relative error 1.3899922231060712e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.28518905924502214 y1[1] (numeric) -0.2851890592450213 absolute error 8.326672684688674e-16 relative error 2.9197027076465636e-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 Radius of convergence (three term test) for eq 2 0.26355373895317225 Order of pole (three term test) -2.8590486299448874 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y2[1] (analytic) 0.9555715168529435 y2[1] (numeric) 0.955571516852945 absolute error 1.4432899320127035e-15 relative error 1.5103944671415075e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.29475935299726225 y1[1] (numeric) -0.29475935299726147 absolute error 7.771561172376096e-16 relative error 2.63657831154497e-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 Radius of convergence (three term test) for eq 2 0.2715718155556203 Order of pole (three term test) -2.993208582060332 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y2[1] (analytic) 0.9525761942715949 y2[1] (numeric) 0.9525761942715963 absolute error 1.4432899320127035e-15 relative error 1.515143818092517e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3043001710598347 y1[1] (numeric) -0.30430017105983387 absolute error 8.326672684688674e-16 relative error 2.7363351968183403e-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 Radius of convergence (three term test) for eq 2 0.2794810822081011 Order of pole (three term test) -3.131360568524604 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y2[1] (analytic) 0.94948561486463 y2[1] (numeric) 0.9494856148646315 absolute error 1.4432899320127035e-15 relative error 1.5200756171734904e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.31381055935888374 y1[1] (numeric) -0.3138105593588829 absolute error 8.326672684688674e-16 relative error 2.6534074257093515e-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 Radius of convergence (three term test) for eq 2 0.28727837256172556 Order of pole (three term test) -3.2734491436394717 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y2[1] (analytic) 0.946300087687414 y2[1] (numeric) 0.9463000876874155 absolute error 1.4432899320127035e-15 relative error 1.5251926432130453e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3232895668635048 y1[1] (numeric) -0.323289566863504 absolute error 7.771561172376096e-16 relative error 2.403901012882765e-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 Radius of convergence (three term test) for eq 2 0.29496056535708703 Order of pole (three term test) -3.419417284521679 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y2[1] (analytic) 0.94301993129001 y2[1] (numeric) 0.9430199312900115 absolute error 1.4432899320127035e-15 relative error 1.530497801926992e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.33273624568084664 y1[1] (numeric) -0.3327362456808458 absolute error 8.326672684688674e-16 relative error 2.502484413037297e-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 Radius of convergence (three term test) for eq 2 0.30252458567663315 Order of pole (three term test) -3.569206414214798 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y2[1] (analytic) 0.9396454736853244 y2[1] (numeric) 0.9396454736853259 absolute error 1.5543122344752192e-15 relative error 1.6541475247884173e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3421496511508996 y1[1] (numeric) -0.34214965115089885 absolute error 7.771561172376096e-16 relative error 2.2713923998562177e-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 Radius of convergence (three term test) for eq 2 0.30996740617800966 Order of pole (three term test) -3.722756425426298 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y2[1] (analytic) 0.9361770523163055 y2[1] (numeric) 0.9361770523163071 absolute error 1.5543122344752192e-15 relative error 1.6602759388616852e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3515288419409613 y1[1] (numeric) -0.3515288419409605 absolute error 7.771561172376096e-16 relative error 2.2107890577244062e-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 Radius of convergence (three term test) for eq 2 0.31728604830788604 Order of pole (three term test) -3.880005704879977 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y2[1] (analytic) 0.9326150140221999 y2[1] (numeric) 0.9326150140222016 absolute error 1.6653345369377348e-15 relative error 1.7856612984981317e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3608728801397686 y1[1] (numeric) -0.3608728801397678 absolute error 7.771561172376096e-16 relative error 2.1535453618365879e-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 Radius of convergence (three term test) for eq 2 0.3244775834957641 Order of pole (three term test) -4.040891158273372 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y2[1] (analytic) 0.9289597150038688 y2[1] (numeric) 0.9289597150038704 absolute error 1.6653345369377348e-15 relative error 1.7926875730351767e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3701808313512883 y1[1] (numeric) -0.37018083135128754 absolute error 7.771561172376096e-16 relative error 2.0993958936250709e-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 Radius of convergence (three term test) for eq 2 0.3315391343272929 Order of pole (three term test) -4.205348235829765 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y2[1] (analytic) 0.9252115207881677 y2[1] (numeric) 0.9252115207881694 absolute error 1.6653345369377348e-15 relative error 1.799950064952793e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3794517647881559 y1[1] (numeric) -0.3794517647881551 absolute error 7.771561172376096e-16 relative error 2.0481025241020766e-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 Radius of convergence (three term test) for eq 2 0.3384678756966183 Order of pole (three term test) -4.373310958434025 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y2[1] (analytic) 0.9213708061913948 y2[1] (numeric) 0.9213708061913966 absolute error 1.7763568394002505e-15 relative error 1.927949993057682e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.38868475336475344 y1[1] (numeric) -0.38868475336475267 absolute error 7.771561172376096e-16 relative error 1.9994509959805471e-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 Radius of convergence (three term test) for eq 2 0.3452610359373004 Order of pole (three term test) -4.544711944341314 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y2[1] (analytic) 0.9174379552818093 y2[1] (numeric) 0.917437955281811 absolute error 1.7763568394002505e-15 relative error 1.936214682609907e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.3978788737899174 y1[1] (numeric) -0.3978788737899166 absolute error 7.771561172376096e-16 relative error 1.9532480069498564e-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 Radius of convergence (three term test) for eq 2 0.3519158979313488 Order of pole (three term test) -4.7194824364474925 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y2[1] (analytic) 0.9134133613412245 y2[1] (numeric) 0.9134133613412264 absolute error 1.887379141862766e-15 relative error 2.066292460503757e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.40703320665926696 y1[1] (numeric) -0.4070332066592662 absolute error 7.771561172376096e-16 relative error 1.909318710422016e-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 Radius of convergence (three term test) for eq 2 0.35842980019592946 Order of pole (three term test) -4.897552330109788 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y2[1] (analytic) 0.9092974268256812 y2[1] (numeric) 0.9092974268256829 absolute error 1.7763568394002505e-15 relative error 1.9535487366344333e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.4161468365471436 y1[1] (numeric) -0.416146836547143 absolute error 5.551115123125783e-16 relative error 1.33393183261575e-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 Radius of convergence (three term test) for eq 2 0.3648001379473069 Order of pole (three term test) -5.078850201506021 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y2[1] (analytic) 0.9050905633252004 y2[1] (numeric) 0.9050905633252022 absolute error 1.7763568394002505e-15 relative error 1.9626288366924478e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.4252188520981534 y1[1] (numeric) -0.425218852098153 absolute error 3.885780586188048e-16 relative error 9.138307408089921e-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 Radius of convergence (three term test) for eq 2 0.37102436414160417 Order of pole (three term test) -5.263303336520731 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y2[1] (analytic) 0.9007931915226269 y2[1] (numeric) 0.9007931915226286 absolute error 1.6653345369377348e-15 relative error 1.8487423668498092e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.43424834611830126 y1[1] (numeric) -0.4342483461183011 absolute error 1.6653345369377348e-16 relative error 3.8349818757491634e-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 Radius of convergence (three term test) for eq 2 0.37709999049195564 Order of pole (three term test) -5.450837760145862 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y2[1] (analytic) 0.8964057411515596 y2[1] (numeric) 0.8964057411515612 absolute error 1.6653345369377348e-15 relative error 1.8577910208365888e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.4432344156657097 y1[1] (numeric) -0.44323441566570976 absolute error 5.551115123125783e-17 relative error 1.2524106718537105e-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 Radius of convergence (three term test) for eq 2 0.38302458846165965 Order of pole (three term test) -5.641378266384011 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y2[1] (analytic) 0.8919286509533794 y2[1] (numeric) 0.891928650953381 absolute error 1.6653345369377348e-15 relative error 1.8671163160390292e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.4521761621409124 y1[1] (numeric) -0.4521761621409126 absolute error 2.220446049250313e-16 relative error 4.9105774146456485e-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 Radius of convergence (three term test) for eq 2 0.3887957902329272 Order of pole (three term test) -5.834848448641551 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y2[1] (analytic) 0.8873623686333753 y2[1] (numeric) 0.8873623686333768 absolute error 1.5543122344752192e-15 relative error 1.7516093643558626e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.46107269137671314 y1[1] (numeric) -0.4610726913767136 absolute error 4.440892098500626e-16 relative error 9.631652842506467e-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 Radius of convergence (three term test) for eq 2 0.3944112896508516 Order of pole (three term test) -6.031170730599169 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.06 y2[1] (analytic) 0.8827073508159741 y2[1] (numeric) 0.8827073508159754 absolute error 1.3322676295501878e-15 relative error 1.5092970827971927e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.4699231137276022 y1[1] (numeric) -0.46992311372760287 absolute error 6.661338147750939e-16 relative error 1.4175378808058122e-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 Radius of convergence (three term test) for eq 2 0.39986884314222026 Order of pole (three term test) -6.230266397546773 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.07 y2[1] (analytic) 0.8779640629990781 y2[1] (numeric) 0.8779640629990795 absolute error 1.3322676295501878e-15 relative error 1.517451209790106e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.4787265441587198 y1[1] (numeric) -0.4787265441587207 absolute error 8.881784197001252e-16 relative error 1.8552938635582601e-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 Radius of convergence (three term test) for eq 2 0.405166270608813 Order of pole (three term test) -6.432055628169982 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y2[1] (analytic) 0.8731329795075167 y2[1] (numeric) 0.8731329795075179 absolute error 1.2212453270876722e-15 relative error 1.3986933900681491e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.487482102334359 y1[1] (numeric) -0.48748210233436007 absolute error 1.0547118733938987e-15 relative error 2.1635909674289592e-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 Radius of convergence (three term test) for eq 2 0.4103014562948283 Order of pole (three term test) -6.636457526774711 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y2[1] (analytic) 0.8682145834456129 y2[1] (numeric) 0.868214583445614 absolute error 1.1102230246251565e-15 relative error 1.278742658547734e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.49618891270599846 y1[1] (numeric) -0.49618891270599974 absolute error 1.27675647831893e-15 relative error 2.5731257704974817e-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 Radius of convergence (three term test) for eq 2 0.41527234962810705 Order of pole (three term test) -6.84339015593679 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y2[1] (analytic) 0.8632093666488742 y2[1] (numeric) 0.8632093666488752 absolute error 9.992007221626409e-16 relative error 1.157541566122838e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.5048461045998568 y1[1] (numeric) -0.5048461045998582 absolute error 1.4432899320127035e-15 relative error 2.858871087371589e-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 Radius of convergence (three term test) for eq 2 0.4200769660348201 Order of pole (three term test) -7.052770569562899 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y2[1] (analytic) 0.8581178296348094 y2[1] (numeric) 0.8581178296348102 absolute error 7.771561172376096e-16 relative error 9.056519867071695e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5134528123039588 y1[1] (numeric) -0.5134528123039604 absolute error 1.6653345369377348e-15 relative error 3.2434032826990807e-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 Radius of convergence (three term test) for eq 2 0.42471338772730094 Order of pole (three term test) -7.264514846349135 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y2[1] (analytic) 0.8529404815528769 y2[1] (numeric) 0.8529404815528776 absolute error 6.661338147750939e-16 relative error 7.809851087878021e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5220081751547062 y1[1] (numeric) -0.5220081751547081 absolute error 1.887379141862766e-15 relative error 3.6156122292594526e-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 Radius of convergence (three term test) for eq 2 0.4291797644647234 Order of pole (three term test) -7.478538123623476 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y2[1] (analytic) 0.8476778401335705 y2[1] (numeric) 0.8476778401335711 absolute error 5.551115123125783e-16 relative error 6.548614179003525e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5305113376229437 y1[1] (numeric) -0.5305113376229457 absolute error 1.9984014443252818e-15 relative error 3.766934469825842e-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 Radius of convergence (three term test) for eq 2 0.4334743142863269 Order of pole (three term test) -7.694754631558115 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y2[1] (analytic) 0.8423304316366466 y2[1] (numeric) 0.842330431636647 absolute error 4.440892098500626e-16 relative error 5.2721496596911266e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5389614493995101 y1[1] (numeric) -0.5389614493995123 absolute error 2.220446049250313e-15 relative error 4.119860616606713e-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 Radius of convergence (three term test) for eq 2 0.43759532421690805 Order of pole (three term test) -7.913077727737533 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y2[1] (analytic) 0.8368987907984987 y2[1] (numeric) 0.836898790798499 absolute error 3.3306690738754696e-16 relative error 3.979775225505612e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5473576654802695 y1[1] (numeric) -0.547357665480272 absolute error 2.4424906541753444e-15 relative error 4.46233022430082e-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 Radius of convergence (three term test) for eq 2 0.44154115094430624 Order of pole (three term test) -8.133419932068065 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y2[1] (analytic) 0.8313834607786843 y2[1] (numeric) 0.8313834607786845 absolute error 2.220446049250313e-16 relative error 2.67078448634354e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5556991462506109 y1[1] (numeric) -0.5556991462506136 absolute error 2.6645352591003757e-15 relative error 4.794924154694878e-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 Radius of convergence (three term test) for eq 2 0.4453102214686289 Order of pole (three term test) -8.35569296201466 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y2[1] (analytic) 0.8257849931056094 y2[1] (numeric) 0.8257849931056094 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 y1[1] (analytic) -0.5639850575694082 y1[1] (numeric) -0.5639850575694111 absolute error 2.886579864025407e-15 relative error 5.118185003811316e-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 Radius of convergence (three term test) for eq 2 0.4489010337229652 Order of pole (three term test) -8.579807768150248 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y2[1] (analytic) 0.8201039476213756 y2[1] (numeric) 0.8201039476213755 absolute error 1.1102230246251565e-16 relative error 1.3537589080570097e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5722145708524347 y1[1] (numeric) -0.5722145708524377 absolute error 2.9976021664879227e-15 relative error 5.238598104942277e-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 Radius of convergence (three term test) for eq 2 0.45231215716535655 Order of pole (three term test) -8.80567457000324 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y2[1] (analytic) 0.8143408924257975 y2[1] (numeric) 0.8143408924257972 absolute error 3.3306690738754696e-16 relative error 4.0900182034994135e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5803868631552197 y1[1] (numeric) -0.5803868631552229 absolute error 3.219646771412954e-15 relative error 5.547414967164558e-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 Radius of convergence (three term test) for eq 2 0.4555422333417981 Order of pole (three term test) -9.0332028921882 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y2[1] (analytic) 0.8084964038195919 y2[1] (numeric) 0.8084964038195915 absolute error 3.3306690738754696e-16 relative error 4.1195842778524916e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5885011172553434 y1[1] (numeric) -0.5885011172553467 absolute error 3.3306690738754696e-15 relative error 5.659579865216013e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.102123968086211 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45858997642006555 Order of pole (three term test) -9.262301600805316 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y2[1] (analytic) 0.8025710662467491 y2[1] (numeric) 0.8025710662467486 absolute error 5.551115123125783e-16 relative error 6.916664899328804e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.5965565217341574 y1[1] (numeric) -0.596556521734161 absolute error 3.552713678800501e-15 relative error 5.955368099024306e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.379522191637857 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4614541736941655 Order of pole (three term test) -9.492878940093355 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y2[1] (analytic) 0.7965654722360886 y2[1] (numeric) 0.796565472236088 absolute error 6.661338147750939e-16 relative error 8.362574552787835e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.6045522710579269 y1[1] (numeric) -0.6045522710579305 absolute error 3.6637359812630166e-15 relative error 6.06024682506232e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.66107527670676 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46413368605922356 Order of pole (three term test) -9.724842569321325 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y2[1] (analytic) 0.790480222342007 y2[1] (numeric) 0.7904802223420061 absolute error 8.881784197001252e-16 relative error 1.1235934746965098e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6124875656583824 y1[1] (numeric) -0.6124875656583862 absolute error 3.885780586188048e-15 relative error 6.344260363899957e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.94693487610236 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4666274484566383 Order of pole (three term test) -9.958099599903807 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y2[1] (analytic) 0.7843159250844224 y2[1] (numeric) 0.7843159250844214 absolute error 9.992007221626409e-16 relative error 1.2739773479100131e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6203616120126767 y1[1] (numeric) -0.6203616120126807 absolute error 3.9968028886505635e-15 relative error 6.442698599101731e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.237259067545049 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46893447028933793 Order of pole (three term test) -10.19255663272467 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y2[1] (analytic) 0.7780731968879238 y2[1] (numeric) 0.7780731968879226 absolute error 1.1102230246251565e-15 relative error 1.4268876361063968e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.628173622722736 y1[1] (numeric) -0.6281736227227401 absolute error 4.107825191113079e-15 relative error 6.539314995921431e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.532212720133018 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47105383580699434 Order of pole (three term test) -10.428119795654192 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y2[1] (analytic) 0.7717526620201285 y2[1] (numeric) 0.7717526620201273 absolute error 1.2212453270876722e-15 relative error 1.5824309875277376e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6359228165939993 y1[1] (numeric) -0.6359228165940036 absolute error 4.3298697960381105e-15 relative error 6.808797676467846e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.83196788557814 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4729847044610517 Order of pole (three term test) -10.664694781244089 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y2[1] (analytic) 0.7653549525292563 y2[1] (numeric) 0.7653549525292549 absolute error 1.4432899320127035e-15 relative error 1.8857785230801555e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6436084187135371 y1[1] (numeric) -0.6436084187135416 absolute error 4.440892098500626e-15 relative error 6.899990692131106e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.136704216205905 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47472631122945286 Order of pole (three term test) -10.90218688458533 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y2[1] (analytic) 0.7588807081809249 y2[1] (numeric) 0.7588807081809233 absolute error 1.5543122344752192e-15 relative error 2.0481641155445676e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6512296605275422 y1[1] (numeric) -0.6512296605275467 absolute error 4.551914400963142e-15 relative error 6.989722177696527e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.446609411898608 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47627796691094826 Order of pole (three term test) -11.14050104131329 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y2[1] (analytic) 0.7523305763941739 y2[1] (numeric) 0.7523305763941721 absolute error 1.7763568394002505e-15 relative error 2.3611387003757125e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6587857799181841 y1[1] (numeric) -0.6587857799181888 absolute error 4.6629367034256575e-15 relative error 7.078077344056753e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.76187969836599 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4776390583888867 Order of pole (three term test) -11.379541865744827 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y2[1] (analytic) 0.7457052121767236 y2[1] (numeric) 0.7457052121767216 absolute error 1.9984014443252818e-15 relative error 2.679881287797253e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6662760212798204 y1[1] (numeric) -0.6662760212798253 absolute error 4.884981308350689e-15 relative error 7.331768144630722e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.08272033935385 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47880904886440695 Order of pole (three term test) -11.61921368913194 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y2[1] (analytic) 0.7390052780594745 y2[1] (numeric) 0.7390052780594722 absolute error 2.220446049250313e-15 relative error 3.00464166518661e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.673699635594557 y1[1] (numeric) -0.673699635594562 absolute error 4.9960036108132044e-15 relative error 7.415773063917579e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.409346185652115 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4797874780589503 Order of pole (three term test) -11.85942059801639 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y2[1] (analytic) 0.7322314440302551 y2[1] (numeric) 0.7322314440302526 absolute error 2.4424906541753444e-15 relative error 3.3356811894497434e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6810558805071486 y1[1] (numeric) -0.6810558805071537 absolute error 5.10702591327572e-15 relative error 7.498688520937182e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.741982264042388 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4805739623860377 Order of pole (three term test) -12.10006647267006 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y2[1] (analytic) 0.7253843874668235 y2[1] (numeric) 0.7253843874668209 absolute error 2.6645352591003757e-15 relative error 3.6732735155845103e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6883440203992341 y1[1] (numeric) -0.6883440203992394 absolute error 5.218048215738236e-15 relative error 7.5805818908862e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.080864409633982 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4811681950922577 Order of pole (three term test) -12.3410550256052 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y2[1] (analytic) 0.7184647930691302 y2[1] (numeric) 0.7184647930691275 absolute error 2.7755575615628914e-15 relative error 3.8631782494258266e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.6955633264628979 y1[1] (numeric) -0.6955633264629032 absolute error 5.329070518200751e-15 relative error 7.661517385196717e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.42623994538238 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48156994636743294 Order of pole (three term test) -12.582289840139438 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y2[1] (analytic) 0.7114733527908488 y2[1] (numeric) 0.7114733527908458 absolute error 2.9976021664879227e-15 relative error 4.213231816384169e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7027130767735495 y1[1] (numeric) -0.702713076773555 absolute error 5.440092820663267e-15 relative error 7.741556263106721e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.2119281641632 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4817790634239389 Order of pole (three term test) -12.823674408999723 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y2[1] (analytic) 0.7044107657701806 y2[1] (numeric) 0.7044107657701775 absolute error 3.1086244689504383e-15 relative error 4.413084836305087e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7097925563621161 y1[1] (numeric) -0.7097925563621217 absolute error 5.551115123125783e-15 relative error 7.820757027344424e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.871102564766502 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48179547054516353 Order of pole (three term test) -13.065112172949945 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y2[1] (analytic) 0.6972777382599425 y2[1] (numeric) 0.6972777382599392 absolute error 3.3306690738754696e-15 relative error 4.776674904589896e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7168010572865383 y1[1] (numeric) -0.716801057286544 absolute error 5.662137425588298e-15 relative error 7.899175605324033e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.53697553864035 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.48161916910310976 Order of pole (three term test) -13.306506559426595 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y2[1] (analytic) 0.6900749835569413 y2[1] (numeric) 0.6900749835569377 absolute error 3.552713678800501e-15 relative error 5.148300928818339e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.723737878702564 y1[1] (numeric) -0.7237378787025699 absolute error 5.88418203051333e-15 relative error 8.130266777057227e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.20928662943346 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4812502375451523 Order of pole (three term test) -13.54776102116701 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y2[1] (analytic) 0.6828032219306449 y2[1] (numeric) 0.6828032219306411 absolute error 3.774758283725532e-15 relative error 5.528325237031395e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7306023269338324 y1[1] (numeric) -0.7306023269338384 absolute error 5.995204332975845e-15 relative error 8.20583799416068e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.887787849698725 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4806888313499766 Order of pole (three term test) -13.788779074814867 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y2[1] (analytic) 0.6754631805511563 y2[1] (numeric) 0.6754631805511523 absolute error 3.9968028886505635e-15 relative error 5.917129169630387e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7373937155412407 y1[1] (numeric) -0.7373937155412468 absolute error 6.106226635438361e-15 relative error 8.280822722982448e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.572242924448206 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4799351829527357 Order of pole (three term test) -14.02946433948729 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y2[1] (analytic) 0.6680555934164966 y2[1] (numeric) 0.6680555934164925 absolute error 4.107825191113079e-15 relative error 6.148927172520614e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7441113653915875 y1[1] (numeric) -0.7441113653915937 absolute error 6.217248937900877e-15 relative error 8.355266734340308e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.262426588665088 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4789896016394763 Order of pole (three term test) -14.26972057528845 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y2[1] (analytic) 0.6605812012792064 y2[1] (numeric) 0.6605812012792021 absolute error 4.3298697960381105e-15 relative error 6.554636716354291e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7507546047254859 y1[1] (numeric) -0.7507546047254923 absolute error 6.328271240363392e-15 relative error 8.42921402084151e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.958123934321689 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47785247341089676 Order of pole (three term test) -14.509451721754068 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y2[1] (analytic) 0.6530407515722708 y2[1] (numeric) 0.6530407515722663 absolute error 4.551914400963142e-15 relative error 6.970337440663364e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7573227692245386 y1[1] (numeric) -0.757322769224545 absolute error 6.439293542825908e-15 relative error 8.502706909788846e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.659129802866218 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47652426081551097 Order of pole (three term test) -14.74856193621173 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y2[1] (analytic) 0.6454349983343768 y2[1] (numeric) 0.645434998334372 absolute error 4.773959005888173e-15 relative error 7.396498513727878e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7638152020777689 y1[1] (numeric) -0.7638152020777754 absolute error 6.5503158452884236e-15 relative error 8.575786168526002e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.365248219512706 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.47500550275230335 Order of pole (three term test) -14.986955632041589 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y2[1] (analytic) 0.6377647021345101 y2[1] (numeric) 0.6377647021345051 absolute error 4.9960036108132044e-15 relative error 7.833615742753201e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7702312540473021 y1[1] (numeric) -0.7702312540473086 absolute error 6.5503158452884236e-15 relative error 8.5043495844511e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.076291866002155 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4732968142429781 Order of pole (three term test) -15.22453751682241 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y2[1] (analytic) 0.6300306299958988 y2[1] (numeric) 0.6300306299958935 absolute error 5.218048215738236e-15 relative error 8.282213542176835e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7765702835332877 y1[1] (numeric) -0.7765702835332944 absolute error 6.661338147750939e-15 relative error 8.577894736639637e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.792081588802084 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4713988861739059 Order of pole (three term test) -15.461212630347855 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y2[1] (analytic) 0.6222335553193116 y2[1] (numeric) 0.6222335553193061 absolute error 5.440092820663267e-15 relative error 8.742847077527947e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7828316566380599 y1[1] (numeric) -0.7828316566380665 absolute error 6.661338147750939e-15 relative error 8.509285605999441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.512445939981953 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46931248500789957 Order of pole (three term test) -15.696886382497713 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y2[1] (analytic) 0.6143742578057187 y2[1] (numeric) 0.6143742578057131 absolute error 5.662137425588298e-15 relative error 9.21610460342369e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7890147472295257 y1[1] (numeric) -0.7890147472295325 absolute error 6.772360450213455e-15 relative error 8.583312889896295e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.237220748244065 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.46703845246594455 Order of pole (three term test) -15.931464590949561 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y2[1] (analytic) 0.6064535233783221 y2[1] (numeric) 0.6064535233783163 absolute error 5.88418203051333e-15 relative error 9.702610016567779e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.7951189370037787 y1[1] (numeric) -0.7951189370037856 absolute error 6.8833827526759706e-15 relative error 8.657047936267752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.96624871780973 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4645777051790352 Order of pole (three term test) -16.16485351871547 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y2[1] (analytic) 0.598472144103964 y2[1] (numeric) 0.5984721441039579 absolute error 6.106226635438361e-15 relative error 1.0203025647218116e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8011436155469281 y1[1] (numeric) -0.8011436155469351 absolute error 6.994405055138486e-15 relative error 8.730525862536539e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.699379053057477 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.4619312343102737 Order of pole (three term test) -16.39695991148932 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y2[1] (analytic) 0.5904309181139206 y2[1] (numeric) 0.5904309181139142 absolute error 6.328271240363392e-15 relative error 1.0718055315562567e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8070881803961404 y1[1] (numeric) -0.8070881803961475 absolute error 7.105427357601002e-15 relative error 8.803780714659294e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.43646710698955 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 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 0.45910010514739913 Order of pole (three term test) -16.62769103478988 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y2[1] (analytic) 0.5823306495240899 y2[1] (numeric) 0.5823306495240833 absolute error 6.5503158452884236e-15 relative error 1.124844768284423e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8129520370998843 y1[1] (numeric) -0.8129520370998915 absolute error 7.216449660063518e-15 relative error 8.87684553421798e-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 Radius of convergence (three term test) for eq 2 0.456085456665929 Order of pole (three term test) -16.85695471088499 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y2[1] (analytic) 0.5741721483545806 y2[1] (numeric) 0.5741721483545739 absolute error 6.772360450213455e-15 relative error 1.1794999930980936e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.818734599277376 y1[1] (numeric) -0.8187345992773832 absolute error 7.216449660063518e-15 relative error 8.814150112176563e-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 Radius of convergence (three term test) for eq 2 0.4528885010631033 Order of pole (three term test) -17.084659355482593 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y2[1] (analytic) 0.5659562304487112 y2[1] (numeric) 0.5659562304487041 absolute error 7.105427357601002e-15 relative error 1.2554729456671153e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8244352886772165 y1[1] (numeric) -0.8244352886772238 absolute error 7.327471962526033e-15 relative error 8.887867929916923e-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 Radius of convergence (three term test) for eq 2 0.44951052326283725 Order of pole (three term test) -17.31071401417381 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y2[1] (analytic) 0.5576837173914255 y2[1] (numeric) 0.5576837173914182 absolute error 7.327471962526033e-15 relative error 1.3139117628896178e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8300535352352164 y1[1] (numeric) -0.8300535352352237 absolute error 7.327471962526033e-15 relative error 8.827710083120857e-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 Radius of convergence (three term test) for eq 2 0.44595288039189196 Order of pole (three term test) -17.535028398614298 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y2[1] (analytic) 0.5493554364271356 y2[1] (numeric) 0.549355436427128 absolute error 7.549516567451064e-15 relative error 1.3742499057715985e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8355887771314018 y1[1] (numeric) -0.8355887771314091 absolute error 7.327471962526033e-15 relative error 8.769232142731066e-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 Radius of convergence (three term test) for eq 2 0.44221700122749547 Order of pole (three term test) -17.757512922429243 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y2[1] (analytic) 0.5409722203769975 y2[1] (numeric) 0.5409722203769898 absolute error 7.771561172376096e-15 relative error 1.4365915438245944e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8410404608461957 y1[1] (numeric) -0.841040460846203 absolute error 7.327471962526033e-15 relative error 8.712389360142849e-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 Radius of convergence (three term test) for eq 2 0.43830438561664137 Order of pole (three term test) -17.978078736828365 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y2[1] (analytic) 0.5325349075556305 y2[1] (numeric) 0.5325349075556225 absolute error 7.993605777301127e-15 relative error 1.5010482249872204e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8464080412157696 y1[1] (numeric) -0.8464080412157771 absolute error 7.438494264988549e-15 relative error 8.788307651595548e-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 Radius of convergence (three term test) for eq 2 0.43421660386732147 Order of pole (three term test) -18.196637765916744 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y2[1] (analytic) 0.5240443416872855 y2[1] (numeric) 0.5240443416872773 absolute error 8.215650382226158e-15 relative error 1.567739545812844e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8516909814865598 y1[1] (numeric) -0.8516909814865672 absolute error 7.438494264988549e-15 relative error 8.733794799617628e-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 Radius of convergence (three term test) for eq 2 0.4299552961119409 Order of pole (three term test) -18.413102741687933 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y2[1] (analytic) 0.515501371821474 y2[1] (numeric) 0.5155013718214656 absolute error 8.43769498715119e-15 relative error 1.6367938958799303e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8568887533689413 y1[1] (numeric) -0.8568887533689488 absolute error 7.438494264988549e-15 relative error 8.68081677550719e-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 Radius of convergence (three term test) for eq 2 0.42552217164319306 Order of pole (three term test) -18.627387238685515 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y2[1] (analytic) 0.5069068522480634 y2[1] (numeric) 0.5069068522480548 absolute error 8.659739592076221e-15 relative error 1.7083492861995148e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8620008370900576 y1[1] (numeric) -0.862000837090065 absolute error 7.438494264988549e-15 relative error 8.629335314916187e-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 Radius of convergence (three term test) for eq 2 0.42091900822266254 Order of pole (three term test) -18.839405708319884 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y2[1] (analytic) 0.49826164241184895 y2[1] (numeric) 0.49826164241184007 absolute error 8.881784197001252e-15 relative error 1.7825542728934012e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8670267214457965 y1[1] (numeric) -0.867026721445804 absolute error 7.438494264988549e-15 relative error 8.579313740855192e-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 Radius of convergence (three term test) for eq 2 0.41614765136245496 Order of pole (three term test) -19.049073512826737 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y2[1] (analytic) 0.48956660682660996 y2[1] (numeric) 0.48956660682660086 absolute error 9.103828801926284e-15 relative error 1.8595689891795645e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8719659038519106 y1[1] (numeric) -0.8719659038519182 absolute error 7.549516567451064e-15 relative error 8.658041024426603e-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 Radius of convergence (three term test) for eq 2 0.41121001358014647 Order of pole (three term test) -19.25630695885413 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y2[1] (analytic) 0.48082261498865914 y2[1] (numeric) 0.48082261498864975 absolute error 9.381384558082573e-15 relative error 1.951111338285086e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8768178903942755 y1[1] (numeric) -0.876817890394283 absolute error 7.549516567451064e-15 relative error 8.610130621372587e-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 Radius of convergence (three term test) for eq 2 0.4061080736273622 Order of pole (three term test) -19.46102333066521 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y2[1] (analytic) 0.47203054128989363 y2[1] (numeric) 0.472030541289884 absolute error 9.658940314238862e-15 relative error 2.0462532546822865e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.88158219587828 y1[1] (numeric) -0.8815821958782876 absolute error 7.549516567451064e-15 relative error 8.563599177419669e-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 Radius of convergence (three term test) for eq 2 0.40084387569230584 Order of pole (three term test) -19.663140922943633 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y2[1] (analytic) 0.46319126493035656 y2[1] (numeric) 0.4631912649303467 absolute error 9.880984919163893e-15 relative error 2.1332407727182755e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.886258343877346 y1[1] (numeric) -0.8862583438773537 absolute error 7.66053886991358e-15 relative error 8.643686034479538e-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 Radius of convergence (three term test) for eq 2 0.39541952857656587 Order of pole (three term test) -19.862579073189103 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y2[1] (analytic) 0.45430566983031795 y2[1] (numeric) 0.4543056698303078 absolute error 1.0158540675320182e-14 relative error 2.236058528416423e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8908458667805706 y1[1] (numeric) -0.8908458667805782 absolute error 7.549516567451064e-15 relative error 8.474548571162232e-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 Radius of convergence (three term test) for eq 2 0.38983720484653456 Order of pole (three term test) -20.059258193690496 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y2[1] (analytic) 0.4453746445418831 y2[1] (numeric) 0.4453746445418727 absolute error 1.0380585280245214e-14 relative error 2.33075353692907e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8953443058394861 y1[1] (numeric) -0.8953443058394938 absolute error 7.66053886991358e-15 relative error 8.555969831886028e-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 Radius of convergence (three term test) for eq 2 0.384099139959796 Order of pole (three term test) -20.253099803064195 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y2[1] (analytic) 0.4363990821601383 y2[1] (numeric) 0.4363990821601277 absolute error 1.0602629885170245e-14 relative error 2.429571994672429e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8997532112139355 y1[1] (numeric) -0.8997532112139431 absolute error 7.66053886991358e-15 relative error 8.51404448957518e-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 Radius of convergence (three term test) for eq 2 0.378207631366827 Order of pole (three term test) -20.444026557345563 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y2[1] (analytic) 0.4273798802338422 y2[1] (numeric) 0.42737988023383133 absolute error 1.0880185641326534e-14 relative error 2.545787985006081e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9040721420170553 y1[1] (numeric) -0.904072142017063 absolute error 7.66053886991358e-15 relative error 8.473371221042518e-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 Radius of convergence (three term test) for eq 2 0.37216503758838915 Order of pole (three term test) -20.631962280621586 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y2[1] (analytic) 0.41831794067567146 y2[1] (numeric) 0.4183179406756603 absolute error 1.1157741397482823e-14 relative error 2.6672873220452185e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9083006663593644 y1[1] (numeric) -0.908300666359372 absolute error 7.66053886991358e-15 relative error 8.433924088835501e-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 Radius of convergence (three term test) for eq 2 0.36597377726897784 Order of pole (three term test) -20.81683199519289 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y2[1] (analytic) 0.4092141696720303 y2[1] (numeric) 0.40921416967201885 absolute error 1.1435297153639112e-14 relative error 2.7944528809459533e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9124383613919522 y1[1] (numeric) -0.9124383613919598 absolute error 7.549516567451064e-15 relative error 8.274001715506623e-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 Radius of convergence (three term test) for eq 2 0.35963632820671687 Order of pole (three term test) -20.99856195125352 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y2[1] (analytic) 0.40006947759243255 y2[1] (numeric) 0.4000694775924209 absolute error 1.1657341758564144e-14 relative error 2.9138293250253804e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9164848133487636 y1[1] (numeric) -0.9164848133487712 absolute error 7.549516567451064e-15 relative error 8.237470449581944e-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 Radius of convergence (three term test) for eq 2 0.35315522636008845 Order of pole (three term test) -21.177079656077307 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y2[1] (analytic) 0.3908847788984657 y2[1] (numeric) 0.3908847788984538 absolute error 1.1879386363489175e-14 relative error 3.0391018030852787e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.920439617587975 y1[1] (numeric) -0.9204396175879824 absolute error 7.438494264988549e-15 relative error 8.081458167219299e-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 Radius of convergence (three term test) for eq 2 0.34653306483190094 Order of pole (three term test) -21.35231390269932 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y2[1] (analytic) 0.38166099205234527 y2[1] (numeric) 0.38166099205233306 absolute error 1.2212453270876722e-14 relative error 3.1998169907816435e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9243023786324579 y1[1] (numeric) -0.9243023786324653 absolute error 7.438494264988549e-15 relative error 8.047684866930773e-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 Radius of convergence (three term test) for eq 2 0.33977249283090244 Order of pole (three term test) -21.524194798081698 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y2[1] (analytic) 0.3723990394250693 y2[1] (numeric) 0.37239903942505687 absolute error 1.2434497875801753e-14 relative error 3.339025228152799e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9280727102093271 y1[1] (numeric) -0.9280727102093345 absolute error 7.327471962526033e-15 relative error 7.89536410447121e-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 Radius of convergence (three term test) for eq 2 0.33287621461145683 Order of pole (three term test) -21.692653790753063 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y2[1] (analytic) 0.36309984720418237 y2[1] (numeric) 0.36309984720416966 absolute error 1.2712053631958042e-14 relative error 3.5009801656043272e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9317502352885667 y1[1] (numeric) -0.931750235288574 absolute error 7.327471962526033e-15 relative error 7.864201891246839e-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 Radius of convergence (three term test) for eq 2 0.3258469883917097 Order of pole (three term test) -21.85762369791079 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y2[1] (analytic) 0.35376434530115725 y2[1] (numeric) 0.35376434530114426 absolute error 1.2989609388114332e-14 relative error 3.671825485142196e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9353345861207334 y1[1] (numeric) -0.9353345861207406 absolute error 7.216449660063518e-15 relative error 7.715367064521246e-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 Radius of convergence (three term test) for eq 2 0.3186876252506728 Order of pole (three term test) -22.019038731976075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y2[1] (analytic) 0.3443934672584046 y2[1] (numeric) 0.3443934672583914 absolute error 1.3211653993039363e-14 relative error 3.836209234226392e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9388254042737308 y1[1] (numeric) -0.9388254042737381 absolute error 7.216449660063518e-15 relative error 7.686679149512487e-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 Radius of convergence (three term test) for eq 2 0.31140098800467386 Order of pole (three term test) -22.17683452659138 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y2[1] (analytic) 0.3349881501559197 y2[1] (numeric) 0.3349881501559063 absolute error 1.3433698597964394e-14 relative error 4.0102011344913844e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9422223406686528 y1[1] (numeric) -0.9422223406686601 absolute error 7.216449660063518e-15 relative error 7.658966836789635e-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 Radius of convergence (three term test) for eq 2 0.3039899900636132 Order of pole (three term test) -22.330948162050653 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y2[1] (analytic) 0.3255493345175751 y2[1] (numeric) 0.3255493345175614 absolute error 1.3711254354120683e-14 relative error 4.21172857700327e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9455250556146907 y1[1] (numeric) -0.9455250556146978 absolute error 7.105427357601002e-15 relative error 7.514795420182416e-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 Radius of convergence (three term test) for eq 2 0.2964575942674876 Order of pole (three term test) -22.48131819015242 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y2[1] (analytic) 0.31607796421706896 y2[1] (numeric) 0.31607796421705503 absolute error 1.3933298959045715e-14 relative error 4.408184225546617e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.948733218843102 y1[1] (numeric) -0.948733218843109 absolute error 6.994405055138486e-15 relative error 7.372362341931652e-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 Radius of convergence (three term test) for eq 2 0.2888068117036385 Order of pole (three term test) -22.62788465846649 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y2[1] (analytic) 0.3065749863835386 y2[1] (numeric) 0.3065749863835243 absolute error 1.426636586643326e-14 relative error 4.653467014619849e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9518465095402373 y1[1] (numeric) -0.9518465095402443 absolute error 6.994405055138486e-15 relative error 7.348248887855813e-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 Radius of convergence (three term test) for eq 2 0.2810407005052026 Order of pole (three term test) -22.770589134004876 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y2[1] (analytic) 0.2970413513068481 y2[1] (numeric) 0.29704135130683357 absolute error 1.454392162258955e-14 relative error 4.896261600818488e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9548646163796215 y1[1] (numeric) -0.9548646163796284 absolute error 6.8833827526759706e-15 relative error 7.208752565127382e-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 Radius of convergence (three term test) for eq 2 0.2731623646312278 Order of pole (three term test) -22.9093747262882 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y2[1] (analytic) 0.28747801234256054 y2[1] (numeric) 0.2874780123425458 absolute error 1.4765966227514582e-14 relative error 5.136381077353272e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9577872375530855 y1[1] (numeric) -0.9577872375530924 absolute error 6.8833827526759706e-15 relative error 7.186755557801488e-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 Radius of convergence (three term test) for eq 2 0.2651749526289518 Order of pole (three term test) -23.04418610979856 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y2[1] (analytic) 0.277885925816603 y2[1] (numeric) 0.27788592581658794 absolute error 1.504352198367087e-14 relative error 5.4135602367998945e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9606140808009476 y1[1] (numeric) -0.9606140808009543 absolute error 6.772360450213455e-15 relative error 7.050032458994093e-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 Radius of convergence (three term test) for eq 2 0.2570816563787199 Order of pole (three term test) -23.174969545810626 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y2[1] (analytic) 0.2682660509296346 y2[1] (numeric) 0.2682660509296193 absolute error 1.532107773982716e-14 relative error 5.711150436939124e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9633448634412386 y1[1] (numeric) -0.9633448634412453 absolute error 6.661338147750939e-15 relative error 6.914801127350655e-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 Radius of convergence (three term test) for eq 2 0.24888570982204408 Order of pole (three term test) -23.3016729035925 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y2[1] (analytic) 0.25861934966112754 y2[1] (numeric) 0.258619349661112 absolute error 1.554312234475219e-14 relative error 6.0100384465116614e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9659793123979703 y1[1] (numeric) -0.9659793123979769 absolute error 6.5503158452884236e-15 relative error 6.781010484611479e-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 Radius of convergence (three term test) for eq 2 0.24059038767330335 Order of pole (three term test) -23.424245680968472 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y2[1] (analytic) 0.24894678667316977 y2[1] (numeric) 0.24894678667315398 absolute error 1.5792922525292852e-14 relative error 6.343894908764827e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9685171642284423 y1[1] (numeric) -0.9685171642284487 absolute error 6.439293542825908e-15 relative error 6.64861066035489e-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 Radius of convergence (three term test) for eq 2 0.23219900411558989 Order of pole (three term test) -23.542639024235836 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y2[1] (analytic) 0.23924932921399966 y2[1] (numeric) 0.23924932921398362 absolute error 1.6042722705833512e-14 relative error 6.70544103865967e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9709581651495862 y1[1] (numeric) -0.9709581651495927 absolute error 6.439293542825908e-15 relative error 6.631895970341697e-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 Radius of convergence (three term test) for eq 2 0.22371491148121636 Order of pole (three term test) -23.65680574742826 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y2[1] (analytic) 0.22952794702128193 y2[1] (numeric) 0.2295279470212656 absolute error 1.63202784619898e-14 relative error 7.110366590991457e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9733020710633444 y1[1] (numeric) -0.9733020710633508 absolute error 6.328271240363392e-15 relative error 6.501857366284733e-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 Radius of convergence (three term test) for eq 2 0.21514149891740142 Order of pole (three term test) -23.766700350918423 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y2[1] (analytic) 0.2197836122251347 y2[1] (numeric) 0.21978361222511814 absolute error 1.657007864253046e-14 relative error 7.539269409020791e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9755486475810786 y1[1] (numeric) -0.9755486475810848 absolute error 6.217248937900877e-15 relative error 6.373079347008327e-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 Radius of convergence (three term test) for eq 2 0.20648219103765492 Order of pole (three term test) -23.87227903935302 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y2[1] (analytic) 0.2100172992509174 y2[1] (numeric) 0.21001729925090054 absolute error 1.684763439868675e-14 relative error 8.022022213778733e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9776976700470092 y1[1] (numeric) -0.9776976700470154 absolute error 6.106226635438361e-15 relative error 6.245516198422324e-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 Radius of convergence (three term test) for eq 2 0.19774044655939355 Order of pole (three term test) -23.973499738913258 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y2[1] (analytic) 0.2002299847217888 y2[1] (numeric) 0.2002299847217717 absolute error 1.709743457922741e-14 relative error 8.538898208968842e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9797489235606806 y1[1] (numeric) -0.9797489235606864 absolute error 5.88418203051333e-15 relative error 6.005806068281834e-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 Radius of convergence (three term test) for eq 2 0.1889197569283197 Order of pole (three term test) -24.07032211389434 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y2[1] (analytic) 0.1904226473610458 y2[1] (numeric) 0.19042264736102843 absolute error 1.73749903353837e-14 relative error 9.124434817062653e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9817022029984505 y1[1] (numeric) -0.9817022029984562 absolute error 5.773159728050814e-15 relative error 5.880764767989348e-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 Radius of convergence (three term test) for eq 2 0.18002364493009892 Order of pole (three term test) -24.162707582597825 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y2[1] (analytic) 0.1805962678942517 y2[1] (numeric) 0.18059626789423408 absolute error 1.762479051592436e-14 relative error 9.759221893912321e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.983557313034003 y1[1] (numeric) -0.9835573130340086 absolute error 5.662137425588298e-15 relative error 5.756794597075555e-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 Radius of convergence (three term test) for eq 2 0.1710556632898801 Order of pole (three term test) -24.250619332530842 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y2[1] (analytic) 0.17075182895116459 y2[1] (numeric) 0.1707518289511467 absolute error 1.787459069646502e-14 relative error 1.0468169393123861e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9853140681578805 y1[1] (numeric) -0.9853140681578859 absolute error 5.440092820663267e-15 relative error 5.521176441572517e-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 Radius of convergence (three term test) for eq 2 0.16201939326020579 Order of pole (three term test) -24.334022334906336 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y2[1] (analytic) 0.16089031496747505 y2[1] (numeric) 0.16089031496745693 absolute error 1.812439087700568e-14 relative error 1.1265060224830584e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9869722926960345 y1[1] (numeric) -0.9869722926960398 absolute error 5.329070518200751e-15 relative error 5.399412483651136e-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 Radius of convergence (three term test) for eq 2 0.15291844319786124 Order of pole (three term test) -24.412883358439075 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y2[1] (analytic) 0.1510127120863636 y2[1] (numeric) 0.1510127120863452 absolute error 1.840194663316197e-14 relative error 1.2185693759766374e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.988531820827393 y1[1] (numeric) -0.9885318208273982 absolute error 5.218048215738236e-15 relative error 5.27858396239665e-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 Radius of convergence (three term test) for eq 2 0.14375644713021565 Order of pole (three term test) -24.487170982432136 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y2[1] (analytic) 0.141120008059887 y2[1] (numeric) 0.14112000805986835 absolute error 1.865174681370263e-14 relative error 1.32169400144786e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9899924966004426 y1[1] (numeric) -0.9899924966004476 absolute error 4.9960036108132044e-15 relative error 5.04650654219006e-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 Radius of convergence (three term test) for eq 2 0.13453706331161824 Order of pole (three term test) -24.55685560914899 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y2[1] (analytic) 0.13121319215020405 y2[1] (numeric) 0.13121319215018515 absolute error 1.890154699424329e-14 relative error 1.4405218472702096e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9913541739488232 y1[1] (numeric) -0.9913541739488281 absolute error 4.884981308350689e-15 relative error 4.927584345453986e-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 Radius of convergence (three term test) for eq 2 0.1252639727704056 Order of pole (three term test) -24.62190947546653 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y2[1] (analytic) 0.12129325503065003 y2[1] (numeric) 0.12129325503063088 absolute error 1.915134717478395e-14 relative error 1.5789292792863483e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9926167167059347 y1[1] (numeric) -0.9926167167059393 absolute error 4.6629367034256575e-15 relative error 4.697620566878953e-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 Radius of convergence (three term test) for eq 2 0.11594087784708725 Order of pole (three term test) -24.682306663804752 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y2[1] (analytic) 0.11136118868667032 y2[1] (numeric) 0.11136118868665092 absolute error 1.940114735532461e-14 relative error 1.7421821358168463e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9937799986185533 y1[1] (numeric) -0.9937799986185578 absolute error 4.551914400963142e-15 relative error 4.580404523426439e-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 Radius of convergence (three term test) for eq 2 0.1065715007242784 Order of pole (three term test) -24.73802311232888 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y2[1] (analytic) 0.10141798631662263 y2[1] (numeric) 0.10141798631660298 absolute error 1.965094753586527e-14 relative error 1.937619573170764e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9948439033594574 y1[1] (numeric) -0.9948439033594617 absolute error 4.3298697960381105e-15 relative error 4.3523107307756604e-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 Radius of convergence (three term test) for eq 2 0.09715958194894919 Order of pole (three term test) -24.789036624420184 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y2[1] (analytic) 0.09146464223245798 y2[1] (numeric) 0.09146464223243808 absolute error 1.990074771640593e-14 relative error 2.1757858808246418e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9958083245390593 y1[1] (numeric) -0.9958083245390634 absolute error 4.107825191113079e-15 relative error 4.125116340049189e-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 Radius of convergence (three term test) for eq 2 0.08770887894756338 Order of pole (three term test) -24.835326877411998 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y2[1] (analytic) 0.08150215176029037 y2[1] (numeric) 0.08150215176027023 absolute error 2.0136670109138777e-14 relative error 2.4706918374822347e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9966731657160448 y1[1] (numeric) -0.9966731657160488 absolute error 3.9968028886505635e-15 relative error 4.010143973103882e-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 Radius of convergence (three term test) for eq 2 0.07822316453468393 Order of pole (three term test) -24.8768754305875 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y2[1] (analytic) 0.07153151114086496 y2[1] (numeric) 0.07153151114084458 absolute error 2.0386470289679437e-14 relative error 2.8499985481269846e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.997438340407017 y1[1] (numeric) -0.9974383404070207 absolute error 3.774758283725532e-15 relative error 3.784452763451218e-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 Radius of convergence (three term test) for eq 2 0.06870622541562328 Order of pole (three term test) -24.913665732436517 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y2[1] (analytic) 0.061553717429934866 y2[1] (numeric) 0.06155371742991424 absolute error 2.062933157631619e-14 relative error 3.351435532678927e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9981037720951443 y1[1] (numeric) -0.9981037720951478 absolute error 3.4416913763379853e-15 relative error 3.4482300062982887e-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 Radius of convergence (three term test) for eq 2 0.059161860683716545 Order of pole (three term test) -24.94568312716834 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y2[1] (analytic) 0.05156976839855636 y2[1] (numeric) 0.0515697683985355 absolute error 2.0865253969049036e-14 relative error 4.04602436989675e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9986693942378124 y1[1] (numeric) -0.9986693942378158 absolute error 3.3306690738754696e-15 relative error 3.3351067861826753e-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 Radius of convergence (three term test) for eq 2 0.04959388031280358 Order of pole (three term test) -24.972914860478436 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y2[1] (analytic) 0.041580662433312675 y2[1] (numeric) 0.04158066243329157 absolute error 2.110811525568579e-14 relative error 5.076425920231337e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9991351502732786 y1[1] (numeric) -0.9991351502732817 absolute error 3.1086244689504383e-15 relative error 3.111315289127985e-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 Radius of convergence (three term test) for eq 2 0.040006103645499586 Order of pole (three term test) -24.995350084566578 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y2[1] (analytic) 0.031587398436476094 y2[1] (numeric) 0.03158739843645474 absolute error 2.1350976542322542e-14 relative error 6.759333658091682e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9995009936263272 y1[1] (numeric) -0.9995009936263302 absolute error 2.9976021664879227e-15 relative error 2.999098735872397e-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 Radius of convergence (three term test) for eq 2 0.03040235787784218 Order of pole (three term test) -25.01297986240484 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y2[1] (analytic) 0.0215909757261186 y2[1] (numeric) 0.02159097572609702 absolute error 2.157996004115148e-14 relative error 9.994898014287611e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9997668877129279 y1[1] (numeric) -0.9997668877129307 absolute error 2.7755575615628914e-15 relative error 2.7762047289966484e-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 Radius of convergence (three term test) for eq 2 0.020786476540900226 Order of pole (three term test) -25.02579717125356 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y2[1] (analytic) 0.011592393936180922 y2[1] (numeric) 0.011592393936159108 absolute error 2.181414771040835e-14 relative error 1.881763838470361e-10% Correct digits 12 h 0.01 y1[1] (analytic) -0.9999328059438936 y1[1] (numeric) -0.9999328059438961 absolute error 2.55351295663786e-15 relative error 2.553684549060728e-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 Radius of convergence (three term test) for eq 2 0.011162297979932565 Order of pole (three term test) -25.03379690542423 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y2[1] (analytic) 0.0015926529165099209 y2[1] (numeric) 0.0015926529164878769 absolute error 2.2043998570975276e-14 relative error 1.3841056229176197e-09% Correct digits 11 h 0.01 y1[1] (analytic) -0.9999987317275395 y1[1] (numeric) -0.9999987317275418 absolute error 2.3314683517128287e-15 relative error 2.331471308653682e-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 Radius of convergence (three term test) for eq 2 0.0015336638316842948 Order of pole (three term test) -25.03697587828805 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y2[1] (analytic) -0.008407247367125526 y2[1] (numeric) -0.008407247367147798 absolute error 2.2272114708066226e-14 relative error 2.649156583063781e-10% Correct digits 12 h 0.01 y1[1] (analytic) -0.9999646584713422 y1[1] (numeric) -0.9999646584713443 absolute error 2.1094237467877974e-15 relative error 2.1094982996824093e-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 0.008083605086421851 Order of pole (three term test) -0.8861838766733162 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 y2[1] (analytic) -0.018406306933030275 y2[1] (numeric) -0.01840630693305277 absolute error 2.2495894036467234e-14 relative error 1.2221840110738435e-10% Correct digits 12 h 0.01 y1[1] (analytic) -0.9998305895825987 y1[1] (numeric) -0.9998305895826007 absolute error 1.9984014443252818e-15 relative error 1.9987400517117188e-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 0.017695364154941932 Order of pole (three term test) -0.8921334795456217 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 y2[1] (analytic) -0.02840352588358026 y2[1] (numeric) -0.02840352588360298 absolute error 2.272140808834422e-14 relative error 7.999502660857748e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9995965384680865 y1[1] (numeric) -0.9995965384680883 absolute error 1.7763568394002505e-15 relative error 1.7770738203261225e-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 0.027300028313350582 Order of pole (three term test) -0.9025180901890407 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 y2[1] (analytic) -0.03839790450521142 y2[1] (numeric) -0.03839790450523436 absolute error 2.2939983246317297e-14 relative error 5.974279987910239e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9992625285327218 y1[1] (numeric) -0.9992625285327233 absolute error 1.5543122344752192e-15 relative error 1.555459341357982e-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 0.03689374662121092 Order of pole (three term test) -0.9173335349536347 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 y2[1] (analytic) -0.0483884433683902 y2[1] (numeric) -0.04838844336841336 absolute error 2.3162027851242328e-14 relative error 4.7866858776393184e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9988285931772198 y1[1] (numeric) -0.9988285931772212 absolute error 1.3322676295501878e-15 relative error 1.3338300872147807e-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 0.0464726725582836 Order of pole (three term test) -0.9365738594376924 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 y2[1] (analytic) -0.0583741434275557 y2[1] (numeric) -0.05837414342757909 absolute error 2.338407245616736e-14 relative error 4.005895604307717e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9982947757947545 y1[1] (numeric) -0.9982947757947556 absolute error 1.1102230246251565e-15 relative error 1.1121194376092919e-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 0.056032965577768 Order of pole (three term test) -0.9602313309150149 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 y2[1] (analytic) -0.06835400612102341 y2[1] (numeric) -0.06835400612104701 absolute error 2.360611706109239e-14 relative error 3.453508931034247e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9976611297666192 y1[1] (numeric) -0.99766112976662 absolute error 7.771561172376096e-16 relative error 7.789780458013916e-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 0.06557079265706305 Order of pole (three term test) -0.988296441487036 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 y2[1] (analytic) -0.07832703347084051 y2[1] (numeric) -0.07832703347086431 absolute error 2.3800406090401793e-14 relative error 3.0385940888802046e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9969277184568889 y1[1] (numeric) -0.9969277184568893 absolute error 4.440892098500626e-16 relative error 4.4545778157061726e-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 0.07508232984540403 Order of pole (three term test) -1.0207579119584211 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 y2[1] (analytic) -0.08829222818258282 y2[1] (numeric) -0.08829222818260683 absolute error 2.400857290751901e-14 relative error 2.7192170139676142e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9960946152060831 y1[1] (numeric) -0.9960946152060833 absolute error 2.220446049250313e-16 relative error 2.229151744576917e-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 0.0845637638077325 Order of pole (three term test) -1.057602696434477 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 y2[1] (analytic) -0.09824859374508349 y2[1] (numeric) -0.0982485937451077 absolute error 2.4216739724636227e-14 relative error 2.4648433938371837e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9951619033238328 y1[1] (numeric) -0.9951619033238328 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 0.09401129336415981 Order of pole (three term test) -1.098815987638397 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 y2[1] (analytic) -0.10819513453008321 y2[1] (numeric) -0.10819513453010762 absolute error 2.441102875394563e-14 relative error 2.2562039282051304e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9941296760805489 y1[1] (numeric) -0.9941296760805487 absolute error 2.220446049250313e-16 relative error 2.2335577567753872e-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 0.10342113102438505 Order of pole (three term test) -1.1443812229460566 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 y2[1] (analytic) -0.11813085589179223 y2[1] (numeric) -0.11813085589181685 absolute error 2.4619195571062846e-14 relative error 2.084061389821302e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9929980366980957 y1[1] (numeric) -0.9929980366980952 absolute error 5.551115123125783e-16 relative error 5.590257903816486e-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 0.1127895045164305 Order of pole (three term test) -1.1942800911357558 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 y2[1] (analytic) -0.12805476426635412 y2[1] (numeric) -0.12805476426637893 absolute error 2.481348460037225e-14 relative error 1.9377244370822594e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9917670983394682 y1[1] (numeric) -0.9917670983394674 absolute error 7.771561172376096e-16 relative error 7.836074805655629e-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 0.12211265830906257 Order of pole (three term test) -1.2484925398500217 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 y2[1] (analytic) -0.13796586727120133 y2[1] (numeric) -0.13796586727122634 absolute error 2.500777362968165e-14 relative error 1.8126058368135024e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9904369840974767 y1[1] (numeric) -0.9904369840974756 absolute error 1.1102230246251565e-15 relative error 1.1209426166944213e-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 0.13138685512726614 Order of pole (three term test) -1.3069967837662544 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 y2[1] (analytic) -0.1478631738042926 y2[1] (numeric) -0.1478631738043178 absolute error 2.5202062658991053e-14 relative error 1.7044178080708434e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9890078269824367 y1[1] (numeric) -0.9890078269824354 absolute error 1.3322676295501878e-15 relative error 1.3470749100288435e-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 0.14060837746014543 Order of pole (three term test) -1.3697693134727098 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 y2[1] (analytic) -0.15774569414322234 y2[1] (numeric) -0.1577456941432477 absolute error 2.5368596112684827e-14 relative error 1.6081957894617313e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9874797699088691 y1[1] (numeric) -0.9874797699088674 absolute error 1.6653345369377348e-15 relative error 1.6864492698330645e-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 0.14977352906062688 Order of pole (three term test) -1.4367849050460093 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 y2[1] (analytic) -0.16761244004419204 y2[1] (numeric) -0.1676124400442176 absolute error 2.556288514199423e-14 relative error 1.5251186090515966e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9858529656812075 y1[1] (numeric) -0.9858529656812056 absolute error 1.887379141862766e-15 relative error 1.9144631172850602e-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 0.1588786364363438 Order of pole (three term test) -1.5080166303260611 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 y2[1] (analytic) -0.1774624248408339 y2[1] (numeric) -0.17746242484085964 absolute error 2.5729418595688003e-14 relative error 1.4498516302121266e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9841275769785193 y1[1] (numeric) -0.984127576978517 absolute error 2.220446049250313e-15 relative error 2.2562583360051286e-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 0.1679200503310877 Order of pole (three term test) -1.5834358678839942 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 y2[1] (analytic) -0.18729466354287658 y2[1] (numeric) -0.18729466354290247 absolute error 2.5895952049381776e-14 relative error 1.3826316008973488e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9823037763382367 y1[1] (numeric) -0.9823037763382343 absolute error 2.4424906541753444e-15 relative error 2.486492175852454e-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 0.1768941471962117 Order of pole (three term test) -1.6630123146783853 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 y2[1] (analytic) -0.1971081729346433 y2[1] (numeric) -0.19710817293466937 absolute error 2.606248550307555e-14 relative error 1.3222427621871007e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9803817461389042 y1[1] (numeric) -0.9803817461389014 absolute error 2.7755575615628914e-15 relative error 2.8310987760574234e-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 0.18579733065138143 Order of pole (three term test) -1.746713998394799 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 y2[1] (analytic) -0.20690197167337282 y2[1] (numeric) -0.20690197167339908 absolute error 2.6256774532384952e-14 relative error 1.2690441913156529e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9783616785819398 y1[1] (numeric) -0.9783616785819367 absolute error 3.1086244689504383e-15 relative error 3.1773775864321984e-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 0.19462603293406855 Order of pole (three term test) -1.8345072904633335 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 y2[1] (analytic) -0.21667508038735275 y2[1] (numeric) -0.21667508038737918 absolute error 2.6423307986078726e-14 relative error 1.2194899357527154e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9762437756724158 y1[1] (numeric) -0.9762437756724125 absolute error 3.3306690738754696e-15 relative error 3.4117186269191586e-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 0.20337671633719204 Order of pole (three term test) -1.9263569197486232 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 y2[1] (analytic) -0.2264265217738559 y2[1] (numeric) -0.2264265217738825 absolute error 2.6617597015388128e-14 relative error 1.1755512034041898e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9740282491988584 y1[1] (numeric) -0.9740282491988548 absolute error 3.6637359812630166e-15 relative error 3.7614268213231513e-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 0.21204587463431207 Order of pole (three term test) -2.022225986906407 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 y2[1] (analytic) -0.2361553206968698 y2[1] (numeric) -0.23615532069689657 absolute error 2.6756374893466273e-14 relative error 1.1329990285423588e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9717153207120687 y1[1] (numeric) -0.9717153207120647 absolute error 3.9968028886505635e-15 relative error 4.1131417849023147e-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 0.22063003449179286 Order of pole (three term test) -2.122075979400545 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 y2[1] (analytic) -0.24586050428460948 y2[1] (numeric) -0.2458605042846364 absolute error 2.6922908347160046e-14 relative error 1.0950481219217682e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9693052215029678 y1[1] (numeric) -0.9693052215029635 absolute error 4.3298697960381105e-15 relative error 4.466982845015917e-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 0.2291257568673524 Order of pole (three term test) -2.22586678717404 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 y2[1] (analytic) -0.25554110202680375 y2[1] (numeric) -0.25554110202683084 absolute error 2.708944180085382e-14 relative error 1.0600815910237565e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9667981925794683 y1[1] (numeric) -0.9667981925794636 absolute error 4.6629367034256575e-15 relative error 4.823071390922544e-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 0.23752963839442665 Order of pole (three term test) -2.333556718967404 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 y2[1] (analytic) -0.26519614587174556 y2[1] (numeric) -0.2651961458717728 absolute error 2.7255975254547593e-14 relative error 1.0277666428730514e-11% Correct digits 13 h 0.01 y1[1] (analytic) -0.9641944846423733 y1[1] (numeric) -0.9641944846423683 absolute error 4.9960036108132044e-15 relative error 5.181530998558095e-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 0.24583831275177798 Order of pole (three term test) -2.4451025192773512 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 y2[1] (analytic) -0.27482467032309627 y2[1] (numeric) -0.27482467032312363 absolute error 2.736699755701011e-14 relative error 9.957984312265793e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9614943580603068 y1[1] (numeric) -0.9614943580603015 absolute error 5.329070518200751e-15 relative error 5.542487559626951e-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 0.2540484520177873 Order of pole (three term test) -2.5604593859485987 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 y2[1] (analytic) -0.28442571253643445 y2[1] (numeric) -0.2844257125364619 absolute error 2.7478019859472624e-14 relative error 9.660877567794697e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9586980828436769 y1[1] (numeric) -0.9586980828436712 absolute error 5.662137425588298e-15 relative error 5.906069415298449e-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 0.26215676800887894 Order of pole (three term test) -2.6795809883913173 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 y2[1] (analytic) -0.2939983124155396 y2[1] (numeric) -0.29399831241556723 absolute error 2.7644553313166398e-14 relative error 9.402963263984101e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.955805938617675 y1[1] (numeric) -0.955805938617669 absolute error 5.995204332975845e-15 relative error 6.272407494816731e-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 0.27016001360152503 Order of pole (three term test) -2.8024194864163667 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 y2[1] (analytic) -0.30354151270840096 y2[1] (numeric) -0.3035415127084288 absolute error 2.781108676686017e-14 relative error 9.162202072036541e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9528182145943137 y1[1] (numeric) -0.9528182145943074 absolute error 6.328271240363392e-15 relative error 6.641635459349203e-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 0.2780549840372979 Order of pole (three term test) -2.928925549680426 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 y2[1] (analytic) -0.31305435910294194 y2[1] (numeric) -0.31305435910296986 absolute error 2.7922109069322687e-14 relative error 8.919252601795279e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9497352095435054 y1[1] (numeric) -0.9497352095434988 absolute error 6.661338147750939e-15 relative error 7.013889851417367e-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 0.285838518210429 Order of pole (three term test) -3.0590483777326027 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 y2[1] (analytic) -0.3225359003224504 y2[1] (numeric) -0.3225359003224784 absolute error 2.8033131371785203e-14 relative error 8.691476311244579e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9465572317631863 y1[1] (numeric) -0.9465572317631792 absolute error 7.105427357601002e-15 relative error 7.506600889167014e-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 0.29350749993735864 Order of pole (three term test) -3.192735720654101 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 y2[1] (analytic) -0.3319851882207056 y2[1] (numeric) -0.33198518822073375 absolute error 2.8144153674247718e-14 relative error 8.477532936058981e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9432845990484858 y1[1] (numeric) -0.9432845990484784 absolute error 7.438494264988549e-15 relative error 7.885737000786337e-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 0.3010588592077559 Order of pole (three term test) -3.329933900282137 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 y2[1] (analytic) -0.34140127787679214 y2[1] (numeric) -0.3414012778768204 absolute error 2.8255175976710234e-14 relative error 8.276236150149152e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9399176386599484 y1[1] (numeric) -0.9399176386599406 absolute error 7.771561172376096e-15 relative error 8.268342727833156e-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 0.3084895734165021 Order of pole (three term test) -3.4705878320090924 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 y2[1] (analytic) -0.35078322768959114 y2[1] (numeric) -0.3507832276896195 absolute error 2.836619827917275e-14 relative error 8.086532091629552e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9364566872908071 y1[1] (numeric) -0.9364566872907989 absolute error 8.215650382226158e-15 relative error 8.77312372662343e-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 0.3157966685761403 Order of pole (three term test) -3.614641047147673 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 y2[1] (analytic) -0.3601300994719396 y2[1] (numeric) -0.360130099471968 absolute error 2.842170943040401e-14 relative error 7.892067192405992e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9329020910333147 y1[1] (numeric) -0.9329020910333061 absolute error 8.548717289613705e-15 relative error 9.163573939624094e-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 0.32297722050929595 Order of pole (three term test) -3.7620357158525564 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 y2[1] (analytic) -0.3694409585444482 y2[1] (numeric) -0.3694409585444767 absolute error 2.853273173286652e-14 relative error 7.723218304023995e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9292542053441347 y1[1] (numeric) -0.9292542053441258 absolute error 8.881784197001252e-15 relative error 9.557970408874312e-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 0.3300283560205928 Order of pole (three term test) -3.9127126705888666 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 y2[1] (analytic) -0.37871487382896885 y2[1] (numeric) -0.37871487382899743 absolute error 2.858824288409778e-14 relative error 7.548751015522167e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9255133950087963 y1[1] (numeric) -0.925513395008787 absolute error 9.2148511043888e-15 relative error 9.956475134864168e-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 0.33694725404758796 Order of pole (three term test) -4.066611430137537 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 y2[1] (analytic) -0.3879509179417013 y2[1] (numeric) -0.3879509179417299 absolute error 2.864375403532904e-14 relative error 7.383344828077822e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9216800341052156 y1[1] (numeric) -0.9216800341052059 absolute error 9.658940314238862e-15 relative error 1.0479710915747398e-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 0.3437311467902642 Order of pole (three term test) -4.223670224127374 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 y2[1] (analytic) -0.39714816728593083 y2[1] (numeric) -0.3971481672859596 absolute error 2.8754776337791554e-14 relative error 7.240314498817582e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9177545059662885 y1[1] (numeric) -0.9177545059662785 absolute error 9.992007221626409e-15 relative error 1.0887451008596238e-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 0.3503773208186255 Order of pole (three term test) -4.383826018083525 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 y2[1] (analytic) -0.40630570214438755 y2[1] (numeric) -0.40630570214441636 absolute error 2.881028748902281e-14 relative error 7.090790834824315e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9137372031415577 y1[1] (numeric) -0.9137372031415473 absolute error 1.0436096431476471e-14 relative error 1.1421332518360527e-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 0.35688311815795515 Order of pole (three term test) -4.547014538981761 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 y2[1] (analytic) -0.4154226067712168 y2[1] (numeric) -0.41542260677124565 absolute error 2.886579864025407e-14 relative error 6.94853822824119e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9096285273579579 y1[1] (numeric) -0.9096285273579471 absolute error 1.0769163338864018e-14 relative error 1.18390782775287e-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 0.36324593735129623 Order of pole (three term test) -4.713170301297769 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 y2[1] (analytic) -0.42449796948355323 y2[1] (numeric) -0.4244979694835822 absolute error 2.8976820942716586e-14 relative error 6.826138880704179e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9054288894796434 y1[1] (numeric) -0.9054288894796323 absolute error 1.1102230246251565e-14 relative error 1.2261846706296393e-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 0.3694632344987356 Order of pole (three term test) -4.882226633540488 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 y2[1] (analytic) -0.4335308827526885 y2[1] (numeric) -0.4335308827527175 absolute error 2.9032332093947844e-14 relative error 6.6967160239215515e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.9011387094669026 y1[1] (numeric) -0.9011387094668911 absolute error 1.1435297153639112e-14 relative error 1.2689830137697701e-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 0.3755325242730796 Order of pole (three term test) -5.054115705258484 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 y2[1] (analytic) -0.442520443294823 y2[1] (numeric) -0.4425204432948521 absolute error 2.90878432451791e-14 relative error 6.573220217489418e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8967584163341615 y1[1] (numeric) -0.8967584163341497 absolute error 1.1879386363489175e-14 relative error 1.324703080239899e-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 0.38145138091150965 Order of pole (three term test) -5.228768554507715 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 y2[1] (analytic) -0.45146575216139384 y2[1] (numeric) -0.451465752161423 absolute error 2.914335439641036e-14 relative error 6.45527468183056e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8922884481070832 y1[1] (numeric) -0.892288448107071 absolute error 1.2212453270876722e-14 relative error 1.368666522219854e-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 0.3872174391828366 Order of pole (three term test) -5.406115115769512 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 y2[1] (analytic) -0.4603659148289687 y2[1] (numeric) -0.4603659148289979 absolute error 2.919886554764162e-14 relative error 6.3425341901103466e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8877292517787654 y1[1] (numeric) -0.8877292517787528 absolute error 1.2545520178264269e-14 relative error 1.4132146882764644e-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 0.39282839532996017 Order of pole (three term test) -5.586084248306745 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 y2[1] (analytic) -0.4692200412886977 y2[1] (numeric) -0.46922004128872696 absolute error 2.9254376698872875e-14 relative error 6.234681838935667e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8830812832650416 y1[1] (numeric) -0.8830812832650287 absolute error 1.2989609388114332e-14 relative error 1.470941535538776e-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 0.3982820079871737 Order of pole (three term test) -5.768603764946592 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 y2[1] (analytic) -0.4780272461353132 y2[1] (numeric) -0.47802724613534253 absolute error 2.930988785010413e-14 relative error 6.131426207829062e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8783450073588901 y1[1] (numeric) -0.8783450073588767 absolute error 1.3433698597964394e-14 relative error 1.5294330229482833e-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 0.40357609907194425 Order of pole (three term test) -5.9536004612776345 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 y2[1] (analytic) -0.4867866486556699 y2[1] (numeric) -0.48678664865569926 absolute error 2.936539900133539e-14 relative error 6.0324988539501006e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8735208976839544 y1[1] (numeric) -0.8735208976839405 absolute error 1.3877787807814457e-14 relative error 1.5887184662221478e-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 0.40870855465082506 Order of pole (three term test) -6.141000145249246 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 y2[1] (analytic) -0.4954973729168152 y2[1] (numeric) -0.4954973729168446 absolute error 2.936539900133539e-14 relative error 5.926448979632692e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8686094366471818 y1[1] (numeric) -0.8686094366471676 absolute error 1.4210854715202004e-14 relative error 1.6360465493047912e-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 0.41367732577916105 Order of pole (three term test) -6.330727667160837 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 y2[1] (analytic) -0.5041585478535819 y2[1] (numeric) -0.5041585478536114 absolute error 2.942091015256665e-14 relative error 5.8356464008840105e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8636111153905833 y1[1] (numeric) -0.8636111153905688 absolute error 1.454392162258955e-14 relative error 1.6840822638105818e-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 0.41848042931425933 Order of pole (three term test) -6.5227069500284856 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 y2[1] (analytic) -0.512769307355694 y2[1] (numeric) -0.5127693073557235 absolute error 2.942091015256665e-14 relative error 5.737650387907903e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8585264337421193 y1[1] (numeric) -0.8585264337421045 absolute error 1.4876988529977098e-14 relative error 1.7328515401828368e-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 0.42311594870171315 Order of pole (three term test) -6.716861020316347 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 y2[1] (analytic) -0.521328790354377 y2[1] (numeric) -0.5213287903544064 absolute error 2.942091015256665e-14 relative error 5.643446265948131e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8533559001657175 y1[1] (numeric) -0.8533559001657022 absolute error 1.532107773982716e-14 relative error 1.7953913176028762e-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 0.4275820347345715 Order of pole (three term test) -6.913112039019982 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 y2[1] (analytic) -0.5298361409084636 y2[1] (numeric) -0.5298361409084931 absolute error 2.942091015256665e-14 relative error 5.5528318815928994e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8481000317104267 y1[1] (numeric) -0.8481000317104109 absolute error 1.5765166949677223e-14 relative error 1.858880599011703e-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 0.4318769062850683 Order of pole (three term test) -7.111381333088842 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 y2[1] (analytic) -0.538290508289988 y2[1] (numeric) -0.5382905082900176 absolute error 2.9531932455029164e-14 relative error 5.486244323505647e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8427593539587124 y1[1] (numeric) -0.8427593539586963 absolute error 1.609823385706477e-14 relative error 1.910181569797615e-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 0.43599885100862334 Order of pole (three term test) -7.311589427174645 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 y2[1] (analytic) -0.5466910470692574 y2[1] (numeric) -0.546691047069287 absolute error 2.9531932455029164e-14 relative error 5.401941848754643e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8373344009738994 y1[1] (numeric) -0.8373344009738829 absolute error 1.6542323066914832e-14 relative error 1.975593388695668e-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 0.43994622601985706 Order of pole (three term test) -7.5136560756928175 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 y2[1] (analytic) -0.5550369171993943 y2[1] (numeric) -0.5550369171994237 absolute error 2.942091015256665e-14 relative error 5.30071230234895e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8318257152467654 y1[1] (numeric) -0.8318257152467484 absolute error 1.6986412276764895e-14 relative error 2.0420638560958394e-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 0.4437174585403549 Order of pole (three term test) -7.717500295183484 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 y2[1] (analytic) -0.5633272841003404 y2[1] (numeric) -0.5633272841003698 absolute error 2.942091015256665e-14 relative error 5.222702855508445e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8262338476412924 y1[1] (numeric) -0.826233847641275 absolute error 1.7319479184152442e-14 relative error 2.09619579657691e-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 0.44731104651793824 Order of pole (three term test) -7.923040396958628 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 y2[1] (analytic) -0.5715613187423143 y2[1] (numeric) -0.5715613187423437 absolute error 2.942091015256665e-14 relative error 5.147463480787251e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8205593573395813 y1[1] (numeric) -0.8205593573395635 absolute error 1.7763568394002505e-14 relative error 2.1648121168949398e-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 0.450725559217217 Order of pole (three term test) -8.130194020022273 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 y2[1] (analytic) -0.5797381977287135 y2[1] (numeric) -0.5797381977287429 absolute error 2.942091015256665e-14 relative error 5.074861423282318e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8148028117859334 y1[1] (numeric) -0.8148028117859152 absolute error 1.8207657603852567e-14 relative error 2.2346090784767837e-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 0.4539596377811946 Order of pole (three term test) -8.33887816424975 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 y2[1] (analytic) -0.5878571033784533 y2[1] (numeric) -0.5878571033784827 absolute error 2.942091015256665e-14 relative error 5.004772415521178e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.808964786630107 y1[1] (numeric) -0.8089647866300883 absolute error 1.865174681370263e-14 relative error 2.3056314838375037e-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 0.4570119957637237 Order of pole (three term test) -8.549009223812545 NO COMPLEX POLE (six term test) for Equation 1 NO INFO (given) for Equation 2 Radius of convergence (ratio test) for eq 2 14.533564701308725 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 y2[1] (analytic) -0.5959172238077346 y2[1] (numeric) -0.595917223807764 absolute error 2.942091015256665e-14 relative error 4.937080013323955e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.8030458656697526 y1[1] (numeric) -0.8030458656697336 absolute error 1.8984813721090177e-14 relative error 2.364100798309515e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.61521070939382 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4598814196326171 Order of pole (three term test) -8.760503020835122 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] 3.789999999999963 y2[1] (analytic) -0.6039177530112312 y2[1] (numeric) -0.6039177530112606 absolute error 2.942091015256665e-14 relative error 4.871674993137601e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7970466407920339 y1[1] (numeric) -0.7970466407920145 absolute error 1.942890293094024e-14 relative error 2.4376117954193403e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 12.880804303985146 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46256676924322787 Order of pole (three term test) -8.973274839269703 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] 3.799999999999963 y2[1] (analytic) -0.6118578909426898 y2[1] (numeric) -0.6118578909427191 absolute error 2.930988785010413e-14 relative error 4.790309691838144e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7909677119144394 y1[1] (numeric) -0.7909677119144195 absolute error 1.9872992140790302e-14 relative error 2.512490945134813e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.150453538552139 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46506697828233323 Order of pole (three term test) -9.187239458975313 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] 3.8099999999999627 y2[1] (analytic) -0.619736843594934 y2[1] (numeric) -0.6197368435949633 absolute error 2.930988785010413e-14 relative error 4.7294086438503505e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7848096869247909 y1[1] (numeric) -0.7848096869247706 absolute error 2.0317081350640365e-14 relative error 2.5887908481674197e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.424307213123775 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4673810546821585 Order of pole (three term test) -9.402311189986976 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] 3.8199999999999625 y2[1] (analytic) -0.6275538230792643 y2[1] (numeric) -0.6275538230792935 absolute error 2.919886554764162e-14 relative error 4.652806575915577e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.778573181620456 y1[1] (numeric) -0.7785731816204352 absolute error 2.0761170560490427e-14 relative error 2.6665663614664834e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.70252051341297 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4695080810044004 Order of pole (three term test) -9.618403906961246 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] 3.8299999999999623 y2[1] (analytic) -0.6353080477042465 y2[1] (numeric) -0.6353080477042756 absolute error 2.90878432451791e-14 relative error 4.578541598881225e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7722588196467677 y1[1] (numeric) -0.7722588196467466 absolute error 2.1094237467877974e-14 relative error 2.7314984214134985e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.985255378387567 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47144721479411345 Order of pole (three term test) -9.835431083783881 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] 3.839999999999962 y2[1] (analytic) -0.6429987420538799 y2[1] (numeric) -0.642998742053909 absolute error 2.90878432451791e-14 relative error 4.5237791838077496e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7658672324346617 y1[1] (numeric) -0.7658672324346402 absolute error 2.1538326677728037e-14 relative error 2.8122794350736938e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.272680892962098 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4731976889033412 Order of pole (three term test) -10.053305828325641 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] 3.849999999999962 y2[1] (analytic) -0.6506251370651384 y2[1] (numeric) -0.6506251370651673 absolute error 2.8976820942716586e-14 relative error 4.4536891201938796e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7593990591375327 y1[1] (numeric) -0.7593990591375108 absolute error 2.1871393585115584e-14 relative error 2.880092267951377e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.56497370785417 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47475881178438206 Order of pole (three term test) -10.271940917332051 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] 3.8599999999999617 y2[1] (analytic) -0.6581864701048762 y2[1] (numeric) -0.658186470104905 absolute error 2.886579864025407e-14 relative error 4.38565664159802e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7528549465673204 y1[1] (numeric) -0.7528549465672981 absolute error 2.2315482794965646e-14 relative error 2.964114521225397e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.862318488841005 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47612996775259564 Order of pole (three term test) -10.491248831432928 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] 3.8699999999999615 y2[1] (analytic) -0.6656819850460903 y2[1] (numeric) -0.6656819850461192 absolute error 2.886579864025407e-14 relative error 4.336274570845637e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7462355491298286 y1[1] (numeric) -0.7462355491298057 absolute error 2.2870594307278225e-14 relative error 3.0647956042763173e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.164908397863929 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47731061721866724 Order of pole (three term test) -10.711141790257617 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] 3.8799999999999613 y2[1] (analytic) -0.673110932343533 y2[1] (numeric) -0.6731109323435618 absolute error 2.8754776337791554e-14 relative error 4.2719223468377854e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7395415287592845 y1[1] (numeric) -0.7395415287592613 absolute error 2.3203661214665772e-14 relative error 3.137573795699362e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.472945608663233 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4783002968902575 Order of pole (three term test) -10.931531787641456 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] 3.889999999999961 y2[1] (analytic) -0.6804725691086654 y2[1] (numeric) -0.680472569108694 absolute error 2.864375403532904e-14 relative error 4.209391434080701e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7327735548521471 y1[1] (numeric) -0.7327735548521235 absolute error 2.3647750424515834e-14 relative error 3.2271566390366365e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.786641859887272 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4790986199429819 Order of pole (three term test) -11.152330626909546 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] 3.899999999999961 y2[1] (analytic) -0.6877661591839453 y2[1] (numeric) -0.6877661591839739 absolute error 2.853273173286652e-14 relative error 4.148609429507471e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7259323042001671 y1[1] (numeric) -0.725932304200143 absolute error 2.4091839634365897e-14 relative error 3.318744667370921e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.106219048908915 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.479705276160674 Order of pole (three term test) -11.373449956223364 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] 3.9099999999999606 y2[1] (analytic) -0.6949909732164435 y2[1] (numeric) -0.694990973216472 absolute error 2.842170943040401e-14 relative error 4.089507709555896e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7190184609227086 y1[1] (numeric) -0.7190184609226841 absolute error 2.453592884421596e-14 relative error 3.4124198720474116e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.431909869904697 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48012003204489756 Order of pole (three term test) -11.594801303976007 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] 3.9199999999999604 y2[1] (analytic) -0.7021462887307773 y2[1] (numeric) -0.7021462887308056 absolute error 2.8310687127941492e-14 relative error 4.032021187367781e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.7120327163983379 y1[1] (numeric) -0.712032716398313 absolute error 2.4868995751603507e-14 relative error 3.492675993513036e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.763958500111244 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48034273089369006 Order of pole (three term test) -11.816296114221933 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] 3.92999999999996 y2[1] (analytic) -0.709231390201358 y2[1] (numeric) -0.7092313902013861 absolute error 2.8199664825478976e-14 relative error 3.976088088468956e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.704975769195686 y1[1] (numeric) -0.7049757691956606 absolute error 2.5424107263916085e-14 relative error 3.606380300548869e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.102621338573048 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48037329284952857 Order of pole (three term test) -12.037845782126844 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] 3.93999999999996 y2[1] (analytic) -0.7162455691239427 y2[1] (numeric) -0.7162455691239707 absolute error 2.808864252301646e-14 relative error 3.921649743309737e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6978483250035924 y1[1] (numeric) -0.6978483250035666 absolute error 2.5757174171303632e-14 relative error 3.690941605566086e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.448167802142894 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4802117149165196 Order of pole (three term test) -12.259361689423555 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] 3.9499999999999598 y2[1] (analytic) -0.7231881240864843 y2[1] (numeric) -0.7231881240865122 absolute error 2.7977620220553945e-14 relative error 3.868650395205905e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6906510965605368 y1[1] (numeric) -0.6906510965605106 absolute error 2.6201263381153694e-14 relative error 3.793704739142061e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190160241905446 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47985807094683486 Order of pole (three term test) -12.480755239859551 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] 3.9599999999999596 y2[1] (analytic) -0.730058360839272 y2[1] (numeric) -0.7300583608392998 absolute error 2.7755575615628914e-14 relative error 3.801829703548798e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6833848035833657 y1[1] (numeric) -0.6833848035833392 absolute error 2.653433028854124e-14 relative error 3.882780265145936e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.849237162847487 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47931251159641697 Order of pole (three term test) -12.701937894622235 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] 3.9699999999999593 y2[1] (analytic) -0.7368555923643557 y2[1] (numeric) -0.7368555923643834 absolute error 2.7644553313166398e-14 relative error 3.751692136102686e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6760501726953219 y1[1] (numeric) -0.6760501726952949 absolute error 2.6978419498391304e-14 relative error 3.990594276580382e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.514637650328897 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4785752642499999 Order of pole (three term test) -12.922821207727527 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] 3.979999999999959 y2[1] (analytic) -0.7435791389442473 y2[1] (numeric) -0.7435791389442747 absolute error 2.7422508708241367e-14 relative error 3.687907214177168e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6686479373533817 y1[1] (numeric) -0.6686479373533543 absolute error 2.7422508708241367e-14 relative error 4.101187961004435e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.186122286121975 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4776466329154959 Order of pole (three term test) -13.143316861357812 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] 3.989999999999959 y2[1] (analytic) -0.7502283282298917 y2[1] (numeric) -0.7502283282299189 absolute error 2.7200464103316335e-14 relative error 3.6256247704607236e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6611788377749109 y1[1] (numeric) -0.6611788377748831 absolute error 2.786659791809143e-14 relative error 4.21468388369354e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.863462671462226 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4765269980878141 Order of pole (three term test) -13.363336701135115 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] 3.9999999999999587 y2[1] (analytic) -0.7568024953079012 y2[1] (numeric) -0.7568024953079283 absolute error 2.708944180085382e-14 relative error 3.5794598945967558e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6536436208636431 y1[1] (numeric) -0.6536436208636149 absolute error 2.8199664825478976e-14 relative error 4.3142262733658225e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.5464407801124 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47521681658219156 Order of pole (three term test) -13.582792771315539 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] 4.009999999999959 y2[1] (analytic) -0.7633009827670469 y2[1] (numeric) -0.7633009827670736 absolute error 2.6645352591003757e-14 relative error 3.4908054872943474e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6460430401349899 y1[1] (numeric) -0.6460430401349616 absolute error 2.8310687127941492e-14 relative error 4.382167343220044e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.234848355984397 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47371662133712245 Order of pole (three term test) -13.801597349890955 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] 4.019999999999959 y2[1] (analytic) -0.7697231407639977 y2[1] (numeric) -0.7697231407640241 absolute error 2.6423307986078726e-14 relative error 3.4328327403346563e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6383778556406909 y1[1] (numeric) -0.6383778556406622 absolute error 2.8754776337791554e-14 relative error 4.5043505321675965e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.928486351764228 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47202702118699097 Order of pole (three term test) -14.019662983584013 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] 4.0299999999999585 y2[1] (analytic) -0.776068327088306 y2[1] (numeric) -0.7760683270883322 absolute error 2.6201263381153694e-14 relative error 3.3761541950123096e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6306488338928077 y1[1] (numeric) -0.6306488338927785 absolute error 2.919886554764162e-14 relative error 4.62997217760726e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.627164405304839 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4701487006045178 Order of pole (three term test) -14.236902522722675 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] 4.039999999999958 y2[1] (analytic) -0.7823359072266267 y2[1] (numeric) -0.7823359072266528 absolute error 2.609024107869118e-14 relative error 3.3349154548179735e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6228567477870741 y1[1] (numeric) -0.6228567477870445 absolute error 2.964295475749168e-14 relative error 4.759193002694295e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.330700350839978 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4680824194131497 Order of pole (three term test) -14.45322915598051 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] 4.049999999999958 y2[1] (analytic) -0.7885252544261693 y2[1] (numeric) -0.7885252544261951 absolute error 2.5868196473766147e-14 relative error 3.280579325590671e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6150023765256074 y1[1] (numeric) -0.6150023765255773 absolute error 3.008704396734174e-14 relative error 4.8921833663985816e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.038919762331375 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46582901246952474 Order of pole (three term test) -14.66855644496894 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] 4.059999999999958 y2[1] (analytic) -0.7946357497573715 y2[1] (numeric) -0.794635749757397 absolute error 2.55351295663786e-14 relative error 3.213438304805103e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.6070865055389884 y1[1] (numeric) -0.6070865055389578 absolute error 3.0531133177191805e-14 relative error 5.0291240043435676e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.751655526495426 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46338938931616785 Order of pole (three term test) -14.882798358667875 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] 4.069999999999958 y2[1] (analytic) -0.8006667821757921 y2[1] (numeric) -0.8006667821758174 absolute error 2.531308496145357e-14 relative error 3.1615005798874146e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5991099264077191 y1[1] (numeric) -0.5991099264076882 absolute error 3.086420008457935e-14 relative error 5.151675631489201e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.468747443266908 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4607645338045687 Order of pole (three term test) -15.09586930768134 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] 4.079999999999957 y2[1] (analytic) -0.8066177485832153 y2[1] (numeric) -0.8066177485832404 absolute error 2.5091040356528538e-14 relative error 3.1106481850417655e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5910734367830658 y1[1] (numeric) -0.5910734367830345 absolute error 3.1308289294429414e-14 relative error 5.296852699865127e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.190041851648605 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45795550368882304 Order of pole (three term test) -15.307684178304294 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] 4.089999999999957 y2[1] (analytic) -0.8124880538879594 y2[1] (numeric) -0.8124880538879843 absolute error 2.4868995751603507e-14 relative error 3.060844480432557e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5829778403072937 y1[1] (numeric) -0.582977840307262 absolute error 3.175237850427948e-14 relative error 5.4465841253146885e-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 0.45496343019001206 Order of pole (three term test) -15.51815836638768 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 y2[1] (analytic) -0.8182771110643858 y2[1] (numeric) -0.8182771110644105 absolute error 2.4646951146678475e-14 relative error 3.0120543289569222e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.574823946533304 y1[1] (numeric) -0.574823946533272 absolute error 3.2085445411667024e-14 relative error 5.581786493964037e-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 0.45178951753152036 Order of pole (three term test) -15.727207810988173 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 y2[1] (analytic) -0.8239843412116011 y2[1] (numeric) -0.8239843412116256 absolute error 2.4424906541753444e-14 relative error 2.9642440177732782e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5666125708436796 y1[1] (numeric) -0.566612570843647 absolute error 3.2529534621517087e-14 relative error 5.741054169179654e-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 0.4484350424454933 Order of pole (three term test) -15.93474902778959 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 y2[1] (analytic) -0.8296091736113466 y2[1] (numeric) -0.8296091736113708 absolute error 2.4202861936828413e-14 relative error 2.9173811846211474e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5583445343691462 y1[1] (numeric) -0.5583445343691132 absolute error 3.297362383136715e-14 relative error 5.9056051956562775e-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 0.44490135365065303 Order of pole (three term test) -16.140699142282863 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 y2[1] (analytic) -0.8351510457850696 y2[1] (numeric) -0.8351510457850935 absolute error 2.3869795029440866e-14 relative error 2.858141069200538e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5500206639064614 y1[1] (numeric) -0.5500206639064281 absolute error 3.3306690738754696e-14 relative error 6.055534441596718e-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 0.4411898713016988 Order of pole (three term test) -16.34497592269177 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 y2[1] (analytic) -0.8406094035501709 y2[1] (numeric) -0.8406094035501946 absolute error 2.375877272697835e-14 relative error 2.8263748450394695e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5416417918357351 y1[1] (numeric) -0.5416417918357014 absolute error 3.375077994860476e-14 relative error 6.231199375184187e-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 0.4373020864105301 Order of pole (three term test) -16.54749781263135 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 y2[1] (analytic) -0.8459837010754229 y2[1] (numeric) -0.8459837010754463 absolute error 2.3425705819590803e-14 relative error 2.769049307901773e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.533208756037192 y1[1] (numeric) -0.5332087560371578 absolute error 3.419486915845482e-14 relative error 6.413035939730458e-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 0.4332395602395407 Order of pole (three term test) -16.74818396348671 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 y2[1] (analytic) -0.8512734009355513 y2[1] (numeric) -0.8512734009355745 absolute error 2.3203661214665772e-14 relative error 2.725758985205564e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5247223998073841 y1[1] (numeric) -0.5247223998073496 absolute error 3.452793606584237e-14 relative error 6.580229103715971e-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 0.4290039236672442 Order of pole (three term test) -16.946954266499187 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 y2[1] (analytic) -0.8564779741649782 y2[1] (numeric) -0.8564779741650012 absolute error 2.298161660974074e-14 relative error 2.6832700084490358e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5161835717748627 y1[1] (numeric) -0.5161835717748279 absolute error 3.4861002973229915e-14 relative error 6.753605670432843e-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 0.424596876526498 Order of pole (three term test) -17.143729384547882 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 y2[1] (analytic) -0.861596900310718 y2[1] (numeric) -0.8615969003107407 absolute error 2.2648549702353193e-14 relative error 2.6286712143678136e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.5075931258153156 y1[1] (numeric) -0.5075931258152802 absolute error 3.5416114485542494e-14 relative error 6.977264404173278e-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 0.4200201869156073 Order of pole (three term test) -17.338430783613966 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 y2[1] (analytic) -0.8666296674844217 y2[1] (numeric) -0.866629667484444 absolute error 2.2315482794965646e-14 relative error 2.574973328543104e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4989519209661796 y1[1] (numeric) -0.4989519209661438 absolute error 3.574918139293004e-14 relative error 7.164854947086821e-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 0.4152756904825985 Order of pole (three term test) -17.530980763915725 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 y2[1] (analytic) -0.871575772413566 y2[1] (numeric) -0.871575772413588 absolute error 2.19824158875781e-14 relative error 2.5221462761297776e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4902608213407389 y1[1] (numeric) -0.49026082134070276 absolute error 3.6137759451548845e-14 relative error 7.371129382258458e-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 0.41036528968296304 Order of pole (three term test) -17.72130249070232 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 y2[1] (analytic) -0.8764347204917796 y2[1] (numeric) -0.8764347204918013 absolute error 2.1649348980190553e-14 relative error 2.4701610369843408e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4815206960417135 y1[1] (numeric) -0.4815206960416769 absolute error 3.658184866139891e-14 relative error 7.597149813521176e-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 0.4052909530111772 Order of pole (three term test) -17.909320024694452 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 y2[1] (analytic) -0.8812060258283039 y2[1] (numeric) -0.8812060258283252 absolute error 2.1316282072803006e-14 relative error 2.4189895947166748e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4727324190743498 y1[1] (numeric) -0.47273241907431285 absolute error 3.697042672001771e-14 relative error 7.820582051979626e-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 0.4000547142063216 Order of pole (three term test) -18.094958352160106 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 y2[1] (analytic) -0.8858892112965813 y2[1] (numeric) -0.8858892112966023 absolute error 2.098321516541546e-14 relative error 2.368604888494417e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.46389686925902107 y1[1] (numeric) -0.4638968692589837 absolute error 3.735900477863652e-14 relative error 8.053299613405404e-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 0.39465867143213 Order of pole (three term test) -18.278143414613854 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 y2[1] (analytic) -0.8904838085819675 y2[1] (numeric) -0.8904838085819882 absolute error 2.0650148258027912e-14 relative error 2.318980767422578e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4550149301433458 y1[1] (numeric) -0.4550149301433081 absolute error 3.7692071686024065e-14 relative error 8.283699981921413e-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 0.38910498643179725 Order of pole (three term test) -18.458802138128554 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 y2[1] (analytic) -0.894989358228563 y2[1] (numeric) -0.8949893582285833 absolute error 2.0317081350640365e-14 relative error 2.270091947333722e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4460874899138341 y1[1] (numeric) -0.44608748991379604 absolute error 3.808064974464287e-14 relative error 8.536587688661365e-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 0.3833958836579064 Order of pole (three term test) -18.63686246224776 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 y2[1] (analytic) -0.8994054096851575 y2[1] (numeric) -0.8994054096851775 absolute error 1.9984014443252818e-14 relative error 2.2219139698357326e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.43711544130706936 y1[1] (numeric) -0.4371154413070309 absolute error 3.8469227803261674e-14 relative error 8.800702095590673e-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 0.3775336493778207 Order of pole (three term test) -18.812253368488214 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 y2[1] (analytic) -0.9037315213502856 y2[1] (numeric) -0.9037315213503052 absolute error 1.965094753586527e-14 relative error 2.174423163474961e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4280996815204356 y1[1] (numeric) -0.4280996815203967 absolute error 3.8913317013111737e-14 relative error 9.0897794819439e-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 0.37152063075491193 Order of pole (three term test) -18.984904908421367 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 y2[1] (analytic) -0.9079672606163857 y2[1] (numeric) -0.907967260616405 absolute error 1.9317880628477724e-14 relative error 2.127596606882447e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4190411121223983 y1[1] (numeric) -0.419041112122359 absolute error 3.930189507173054e-14 relative error 9.379006960121564e-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 0.36535923490599787 Order of pole (three term test) -19.154748231323126 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 y2[1] (analytic) -0.912112203913061 y2[1] (numeric) -0.91211220391308 absolute error 1.8984813721090177e-14 relative error 2.081412093780047e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4099406389623485 y1[1] (numeric) -0.40994063896230887 absolute error 3.963496197911809e-14 relative error 9.668463726710054e-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 0.35905192793537116 Order of pole (three term test) -19.32171561138144 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 y2[1] (analytic) -0.916165936749436 y2[1] (numeric) -0.9161659367494547 absolute error 1.865174681370263e-14 relative error 2.0358480997317117e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.4007991720800186 y1[1] (numeric) -0.40079917207997856 absolute error 4.0023540037736893e-14 relative error 9.985933810698164e-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 0.3526012339458107 Order of pole (three term test) -19.485740474451312 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 y2[1] (analytic) -0.9201280537556052 y2[1] (numeric) -0.9201280537556235 absolute error 1.8207657603852567e-14 relative error 1.9788177884084703e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.3916176256144788 y1[1] (numeric) -0.3916176256144384 absolute error 4.04121180963557e-14 relative error 1.0319279688432284e-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 0.3460097340269778 Order of pole (three term test) -19.64675742434705 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 y2[1] (analytic) -0.9239981587231696 y2[1] (numeric) -0.9239981587231875 absolute error 1.787459069646502e-14 relative error 1.9344833674955687e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.3823969177127246 y1[1] (numeric) -0.3823969177126838 absolute error 4.08006961549745e-14 relative error 1.0669724117814672e-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 0.3392800652216014 Order of pole (three term test) -19.80470226866178 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 y2[1] (analytic) -0.9277758646448576 y2[1] (numeric) -0.927775864644875 absolute error 1.7430501486614958e-14 relative error 1.8787405612547556e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.37313797043786207 y1[1] (numeric) -0.37313797043782093 absolute error 4.113376306236205e-14 relative error 1.1023740900475305e-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 0.33241491946986856 Order of pole (three term test) -19.95951204410452 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 y2[1] (analytic) -0.9314607937532251 y2[1] (numeric) -0.9314607937532421 absolute error 1.6986412276764895e-14 relative error 1.82363148193494e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.3638417096769031 y1[1] (numeric) -0.3638417096768616 absolute error 4.1522341120980855e-14 relative error 1.1412199320922639e-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 0.3254170425324475 Order of pole (three term test) -20.11112504134507 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 y2[1] (analytic) -0.9350525775584321 y2[1] (numeric) -0.9350525775584486 absolute error 1.6542323066914832e-14 relative error 1.7691329304828413e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.3545090650481768 y1[1] (numeric) -0.35450906504813495 absolute error 4.18554080283684e-14 relative error 1.1806583287984573e-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 0.3182892328925686 Order of pole (three term test) -20.25948082935745 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 y2[1] (analytic) -0.938550856885091 y2[1] (numeric) -0.9385508568851072 absolute error 1.6209256159527285e-14 relative error 1.7270514475180777e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.34514096980836895 y1[1] (numeric) -0.3451409698083267 absolute error 4.2243986086987206e-14 relative error 1.2239632434956112e-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 0.3110343406376072 Order of pole (three term test) -20.404520279252626 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 y2[1] (analytic) -0.9419552819081846 y2[1] (numeric) -0.9419552819082003 absolute error 1.5765166949677223e-14 relative error 1.6736640531109528e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.3357383607591968 y1[1] (numeric) -0.33573836075915414 absolute error 4.263256414560601e-14 relative error 1.2698151039160988e-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 0.3036552663206085 Order of pole (three term test) -20.546185587591566 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 y2[1] (analytic) -0.9452655121880474 y2[1] (numeric) -0.9452655121880628 absolute error 1.532107773982716e-14 relative error 1.6208226728131434e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.3263021781537297 y1[1] (numeric) -0.32630217815368673 absolute error 4.296563105299356e-14 relative error 1.3167436177134955e-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 0.2961549598022132 Order of pole (three term test) -20.684420299169794 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 y2[1] (analytic) -0.9484812167044101 y2[1] (numeric) -0.948481216704425 absolute error 1.4876988529977098e-14 relative error 1.5685063940083743e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.31683336560236486 y1[1] (numeric) -0.3168333656023215 absolute error 4.335420911161236e-14 relative error 1.3683599588442072e-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 0.28853641907343996 Order of pole (three term test) -20.819169329264913 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 y2[1] (analytic) -0.9516020738895008 y2[1] (numeric) -0.9516020738895151 absolute error 1.432187701766452e-14 relative error 1.505027932434662e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.30733286997846665 y1[1] (numeric) -0.30733286997842296 absolute error 4.368727601899991e-14 relative error 1.4214970244497722e-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 0.28080268905979117 Order of pole (three term test) -20.950378985338713 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 y2[1] (analytic) -0.9546277716602015 y2[1] (numeric) -0.9546277716602154 absolute error 1.3877787807814457e-14 relative error 1.4537381186469649e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.29780164132368053 y1[1] (numeric) -0.29780164132363646 absolute error 4.4075854077618715e-14 relative error 1.480040670081891e-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 0.27295686040715733 Order of pole (three term test) -21.0779969881857 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 y2[1] (analytic) -0.9575580074492568 y2[1] (numeric) -0.9575580074492702 absolute error 1.3433698597964394e-14 relative error 1.402912251107281e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.2882406327529292 y1[1] (numeric) -0.2882406327528848 absolute error 4.440892098500626e-14 relative error 1.540689130497163e-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 0.2650020682499975 Order of pole (three term test) -21.201972492520092 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 y2[1] (analytic) -0.9603924882355295 y2[1] (numeric) -0.9603924882355425 absolute error 1.2989609388114332e-14 relative error 1.3525313397629075e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.27865080035910234 y1[1] (numeric) -0.2786508003590576 absolute error 4.474198789239381e-14 relative error 1.605665149166412e-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 0.25694149096228247 Order of pole (three term test) -21.32225610699363 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 y2[1] (analytic) -0.963130930573303 y2[1] (numeric) -0.9631309305733156 absolute error 1.2545520178264269e-14 relative error 1.3025768127700515e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.2690331031174478 y1[1] (numeric) -0.2690331031174027 absolute error 4.5130565951012613e-14 relative error 1.6775097721454234e-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 0.24877834889169223 Order of pole (three term test) -21.438799913636657 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 y2[1] (analytic) -0.9657730606206257 y2[1] (numeric) -0.9657730606206377 absolute error 1.199040866595169e-14 relative error 1.2415348030360679e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.259388502789675 y1[1] (numeric) -0.25938850278962955 absolute error 4.546363285840016e-14 relative error 1.752723515863165e-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 0.24051590307756424 Order of pole (three term test) -21.551557486715154 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 y2[1] (analytic) -0.9683186141666945 y2[1] (numeric) -0.968318614166706 absolute error 1.1435297153639112e-14 relative error 1.180943646681829e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.24971796382777964 y1[1] (numeric) -0.24971796382773384 absolute error 4.579669976578771e-14 relative error 1.833936936846555e-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 0.2321574539530971 Order of pole (three term test) -21.660483910996785 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 y2[1] (analytic) -0.9707673366582761 y2[1] (numeric) -0.9707673366582871 absolute error 1.099120794378905e-14 relative error 1.1322185583236317e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.24002245327759908 y1[1] (numeric) -0.24002245327755295 absolute error 4.6129766673175254e-14 relative error 1.921893807985691e-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 0.22370634003231735 Order of pole (three term test) -21.765535799419006 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 y2[1] (analytic) -0.973118983225162 y2[1] (numeric) -0.9731189832251724 absolute error 1.0436096431476471e-14 relative error 1.0724378633421181e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.2303029406821088 y1[1] (numeric) -0.23030294068206236 absolute error 4.643507800494717e-14 relative error 2.016260750619e-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 0.2151659365823232 Order of pole (three term test) -21.86667131015278 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 y2[1] (analytic) -0.9753733187046552 y2[1] (numeric) -0.975373318704665 absolute error 9.880984919163893e-15 relative error 1.0130464643308409e-12% Correct digits 14 h 0.01 y1[1] (analytic) -0.2205603979844688 y1[1] (numeric) -0.22056039798442204 absolute error 4.676814491233472e-14 relative error 2.1204234912392565e-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 0.2065396542813236 Order of pole (three term test) -21.963850163055405 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 y2[1] (analytic) -0.9775301176650862 y2[1] (numeric) -0.9775301176650956 absolute error 9.325873406851315e-15 relative error 9.540241511051298e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.21079579943083007 y1[1] (numeric) -0.210795799430783 absolute error 4.707345624410664e-14 relative error 2.233130658732751e-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 0.1978309378629994 Order of pole (three term test) -22.05703365550639 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 y2[1] (analytic) -0.9795891644283565 y2[1] (numeric) -0.9795891644283653 absolute error 8.770761894538737e-15 relative error 8.953510525667107e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.20101012147291084 y1[1] (numeric) -0.20101012147286346 absolute error 4.7378767575878555e-14 relative error 2.357033925889327e-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 0.18904326474770944 Order of pole (three term test) -22.14618467762052 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 y2[1] (analytic) -0.9815502530915056 y2[1] (numeric) -0.9815502530915138 absolute error 8.215650382226158e-15 relative error 8.370076169151831e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.1912043426703522 y1[1] (numeric) -0.1912043426703045 absolute error 4.7684078907650473e-14 relative error 2.4938805385744142e-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 0.18018014366108118 Order of pole (three term test) -22.23126772683236 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 y2[1] (analytic) -0.9834131875473012 y2[1] (numeric) -0.9834131875473089 absolute error 7.66053886991358e-15 relative error 7.789745924619417e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.18137944359286293 y1[1] (numeric) -0.18137944359281497 absolute error 4.796163466380676e-14 relative error 2.6442706909755897e-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 0.17124511324051822 Order of pole (three term test) -22.312248921846827 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 y2[1] (analytic) -0.9851777815038505 y2[1] (numeric) -0.9851777815038576 absolute error 7.105427357601002e-15 relative error 7.212330090062258e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.17153640672216341 y1[1] (numeric) -0.17153640672211518 absolute error 4.823919041996305e-14 relative error 2.812183800614164e-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 0.1622417406301687 Order of pole (three term test) -22.38909601595064 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 y2[1] (analytic) -0.9868438585032281 y2[1] (numeric) -0.9868438585032346 absolute error 6.5503158452884236e-15 relative error 6.637641597347993e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.16167621635373822 y1[1] (numeric) -0.1616762163536897 absolute error 4.851674617611934e-14 relative error 3.000858584540815e-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 0.15317362006489899 Order of pole (three term test) -22.461778409679777 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 y2[1] (analytic) -0.9884112519391225 y2[1] (numeric) -0.9884112519391285 absolute error 5.995204332975845e-15 relative error 6.06549583608453e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.15179985849840735 y1[1] (numeric) -0.1517998584983586 absolute error 4.876654635666e-14 relative error 3.2125554555224864e-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 0.14404437144382262 Order of pole (three term test) -22.530267162838065 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 y2[1] (analytic) -0.9898798050734964 y2[1] (numeric) -0.9898798050735017 absolute error 5.329070518200751e-15 relative error 5.383553125225219e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.14190832078372614 y1[1] (numeric) -0.1419083207836771 absolute error 4.904410211281629e-14 relative error 3.456041325974213e-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 0.1348576388939374 Order of pole (three term test) -22.59453500586263 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 y2[1] (analytic) -0.9912493710522599 y2[1] (numeric) -0.9912493710522646 absolute error 4.773959005888173e-15 relative error 4.816102935652187e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.1320025923552231 y1[1] (numeric) -0.13200259235517378 absolute error 4.932165786897258e-14 relative error 3.736415852822531e-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 0.1256170893244239 Order of pole (three term test) -22.65455635053189 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 y2[1] (analytic) -0.9925198129199566 y2[1] (numeric) -0.9925198129199607 absolute error 4.107825191113079e-15 relative error 4.138784070242396e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.1220836637774863 y1[1] (numeric) -0.12208366377743674 absolute error 4.957145804951324e-14 relative error 4.0604497371461434e-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 0.11632641097216992 Order of pole (three term test) -22.710307300012165 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 y2[1] (analytic) -0.9936910036334584 y2[1] (numeric) -0.993691003633462 absolute error 3.552713678800501e-15 relative error 3.5752700445207874e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.11215252693510783 y1[1] (numeric) -0.112152526935058 absolute error 4.98212582300539e-14 relative error 4.4422769233617715e-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 0.10698931193907824 Order of pole (three term test) -22.761765658239156 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 y2[1] (analytic) -0.99476282607467 y2[1] (numeric) -0.9947628260746729 absolute error 2.886579864025407e-15 relative error 2.90177697473461e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.10221017493349596 y1[1] (numeric) -0.10221017493344589 absolute error 5.007105841059456e-14 relative error 4.8988330607176615e-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 0.09760951872172499 Order of pole (three term test) -22.80891093863084 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 y2[1] (analytic) -0.9957351730622404 y2[1] (numeric) -0.9957351730622427 absolute error 2.3314683517128287e-15 relative error 2.341454248866928e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.0922576019995656 y1[1] (numeric) -0.0922576019995153 absolute error 5.0306980803327406e-14 relative error 5.4528818994844753e-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 0.08819077473393677 Order of pole (three term test) -22.85172437212863 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 y2[1] (analytic) -0.9966079473622811 y2[1] (numeric) -0.9966079473622828 absolute error 1.6653345369377348e-15 relative error 1.6710026659383665e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.08229580338231637 y1[1] (numeric) -0.08229580338226583 absolute error 5.054290319606025e-14 relative error 6.141613681229444e-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 0.07873683882285441 Order of pole (three term test) -22.890188914563623 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 y2[1] (analytic) -0.9973810616980894 y2[1] (numeric) -0.9973810616980904 absolute error 9.992007221626409e-16 relative error 1.0018244385565668e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.07232577525330852 y1[1] (numeric) -0.07232577525325776 absolute error 5.076494780098528e-14 relative error 7.018928953500994e-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 0.06925148377905806 Order of pole (three term test) -22.924289253345435 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 y2[1] (analytic) -0.998054438758876 y2[1] (numeric) -0.9980544387588763 absolute error 3.3306690738754696e-16 relative error 3.337161726385688e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.062348514607046615 y1[1] (numeric) -0.06234851460699563 absolute error 5.0986992405910314e-14 relative error 8.177739714772254e-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 0.05973849484132635 Order of pole (three term test) -22.954011813471098 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 y2[1] (analytic) -0.998628011207496 y2[1] (numeric) -0.9986280112074957 absolute error 3.3306690738754696e-16 relative error 3.335244992625607e-14% Correct digits 16 h 0.01 y1[1] (analytic) -0.052365019161280925 y1[1] (numeric) -0.05236501916122972 absolute error 5.120209811693144e-14 relative error 9.777920248483484e-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 0.05020166819660544 Order of pole (three term test) -22.97934476285164 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 y2[1] (analytic) -0.9991017216871825 y2[1] (numeric) -0.9991017216871815 absolute error 9.992007221626409e-16 relative error 1.0000990894853941e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.04237628725723648 y1[1] (numeric) -0.04237628725718507 absolute error 5.1410264934048655e-14 relative error 1.2131847375390222e-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 0.04064480947576746 Order of pole (three term test) -23.000278016954624 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 y2[1] (analytic) -0.9994755228272822 y2[1] (numeric) -0.9994755228272806 absolute error 1.6653345369377348e-15 relative error 1.6662084252217537e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.03238331775977977 y1[1] (numeric) -0.03238331775972816 absolute error 5.1611492857261965e-14 relative error 1.5937679159410799e-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 0.031071732245734708 Order of pole (three term test) -23.016803242760762 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 y2[1] (analytic) -0.9997493772479927 y2[1] (numeric) -0.9997493772479904 absolute error 2.3314683517128287e-15 relative error 2.3320528172077035e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.022387109957533083 y1[1] (numeric) -0.02238710995748128 absolute error 5.1802312439619413e-14 relative error 2.3139347838057297e-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 0.021486256498552802 Order of pole (three term test) -23.028913862033217 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 y2[1] (analytic) -0.9999232575641002 y2[1] (numeric) -0.9999232575640972 absolute error 2.9976021664879227e-15 relative error 2.997832227435475e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.01238866346294651 y1[1] (numeric) -0.01238866346289452 absolute error 5.198966257502491e-14 relative error 4.19655136573221e-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 0.011892207137991585 Order of pole (three term test) -23.03660505389832 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 y2[1] (analytic) -0.9999971463877179 y2[1] (numeric) -0.9999971463877141 absolute error 3.774758283725532e-15 relative error 3.774769055452871e-13% Correct digits 15 h 0.01 y1[1] (analytic) -0.0023889781123374934 y1[1] (numeric) -0.0023889781122853233 absolute error 5.2170073816526497e-14 relative error 2.183781992271195e-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 0.0022934124642578044 Order of pole (three term test) -23.039873756736874 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 y2[1] (analytic) -0.9999710363300249 y2[1] (numeric) -0.9999710363300204 absolute error 4.551914400963142e-15 relative error 4.552046244928291e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.007610946134091949 y1[1] (numeric) 0.0076109461341442915 absolute error 5.234267880238619e-14 relative error 6.877289351441602e-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 Radius of convergence (three term test) for eq 2 0.0073389134773086265 Order of pole (three term test) -0.894257651745016 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y2[1] (analytic) -0.9998449300020054 y2[1] (numeric) -0.9998449300020001 absolute error 5.218048215738236e-15 relative error 5.21885750396091e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.017610109292250417 y1[1] (numeric) 0.017610109292302924 absolute error 5.2506610170866e-14 relative error 2.9816175072787476e-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 Radius of convergence (three term test) for eq 2 0.01697853631389673 Order of pole (three term test) -0.9003549199517774 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y2[1] (analytic) -0.999618840014187 y2[1] (numeric) -0.999618840014181 absolute error 5.995204332975845e-15 relative error 5.997490336307345e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.0276075114541547 y1[1] (numeric) 0.027607511454207367 absolute error 5.2666204730655863e-14 relative error 1.9076766414862807e-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 Radius of convergence (three term test) for eq 2 0.026611353980064385 Order of pole (three term test) -0.9112844839455715 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y2[1] (analytic) -0.9992927889753801 y2[1] (numeric) -0.9992927889753733 absolute error 6.772360450213455e-15 relative error 6.777153327762388e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.03760215288791975 y1[1] (numeric) 0.03760215288797257 absolute error 5.281886039654182e-14 relative error 1.4046764969542652e-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 Radius of convergence (three term test) for eq 2 0.0362335055641596 Order of pole (three term test) -0.9270419540531252 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y2[1] (analytic) -0.9988668094904168 y2[1] (numeric) -0.9988668094904094 absolute error 7.438494264988549e-15 relative error 7.446933058856346e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.047593034137731034 y1[1] (numeric) 0.04759303413778399 absolute error 5.295763827461997e-14 relative error 1.1127182629576448e-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 Radius of convergence (three term test) for eq 2 0.04584113445590863 Order of pole (three term test) -0.9476210015836061 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y2[1] (analytic) -0.9983409441568909 y2[1] (numeric) -0.9983409441568826 absolute error 8.326672684688674e-15 relative error 8.34051005663264e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.05757915612378928 y1[1] (numeric) 0.057579156123842366 absolute error 5.3089477258794204e-14 relative error 9.220259696869694e-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 Radius of convergence (three term test) for eq 2 0.05543038990163342 Order of pole (three term test) -0.9730133614015777 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y2[1] (analytic) -0.9977152455608972 y2[1] (numeric) -0.9977152455608881 absolute error 9.103828801926284e-15 relative error 9.124676446943815e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.0675595202422176 y1[1] (numeric) 0.06755952024227083 absolute error 5.322131624296844e-14 relative error 7.877693040471106e-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 Radius of convergence (three term test) for eq 2 0.06499742855704897 Order of pole (three term test) -1.0032088352871371 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y2[1] (analytic) -0.996989776271774 y2[1] (numeric) -0.9969897762717641 absolute error 9.880984919163893e-15 relative error 9.910818700783137e-13% Correct digits 15 h 0.01 y1[1] (analytic) 0.07753312846492112 y1[1] (numeric) 0.07753312846497447 absolute error 5.334621633323877e-14 relative error 6.880441611146207e-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 Radius of convergence (three term test) for eq 2 0.07453841603700158 Order of pole (three term test) -1.0381952960818148 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y2[1] (analytic) -0.9961646088358458 y2[1] (numeric) -0.996164608835835 absolute error 1.0769163338864018e-14 relative error 1.0810626319528912e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.08749898343938889 y1[1] (numeric) 0.08749898343944233 absolute error 5.344336084789347e-14 relative error 6.107883628718273e-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 Radius of convergence (three term test) for eq 2 0.08404952846150518 Order of pole (three term test) -1.0779586926184568 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y2[1] (analytic) -0.9952398257691683 y2[1] (numeric) -0.9952398257691567 absolute error 1.1546319456101628e-14 relative error 1.1601544830843247e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.09745608858842827 y1[1] (numeric) 0.09745608858848183 absolute error 5.355438315035599e-14 relative error 5.495232152864682e-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 Radius of convergence (three term test) for eq 2 0.09352695399744085 Order of pole (three term test) -1.122483055433005 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y2[1] (analytic) -0.9942155195492777 y2[1] (numeric) -0.9942155195492652 absolute error 1.2434497875801753e-14 relative error 1.250684346733882e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.10740344820982196 y1[1] (numeric) 0.1074034482098756 absolute error 5.3637649877202875e-14 relative error 4.994034248548247e-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 Radius of convergence (three term test) for eq 2 0.10296689439528019 Order of pole (three term test) -1.1717505032557325 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y2[1] (analytic) -0.9930917926059423 y2[1] (numeric) -0.9930917926059291 absolute error 1.3211653993039363e-14 relative error 1.330355772890949e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.11734006757589724 y1[1] (numeric) 0.11734006757595097 absolute error 5.3734794391857577e-14 relative error 4.5794071455686816e-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 Radius of convergence (three term test) for eq 2 0.11236556652020063 Order of pole (three term test) -1.2257412502791734 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y2[1] (analytic) -0.9918687573109201 y2[1] (numeric) -0.991868757310906 absolute error 1.4099832412739488e-14 relative error 1.4215421454513692e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.127264953032998 y1[1] (numeric) 0.1272649530330518 absolute error 5.3790305543088834e-14 relative error 4.2266393269435116e-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 Radius of convergence (three term test) for eq 2 0.1217192038769603 Order of pole (three term test) -1.2844336141996575 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y2[1] (analytic) -0.9905465359667213 y2[1] (numeric) -0.9905465359667064 absolute error 1.4876988529977098e-14 relative error 1.501896982099679e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.13717711210084924 y1[1] (numeric) 0.13717711210090308 absolute error 5.384581669432009e-14 relative error 3.9252770283379324e-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 Radius of convergence (three term test) for eq 2 0.13102405812790502 Order of pole (three term test) -1.347804025029032 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y2[1] (analytic) -0.9891252607943786 y2[1] (numeric) -0.9891252607943628 absolute error 1.5765166949677223e-14 relative error 1.59384939143259e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.14707555357180424 y1[1] (numeric) 0.14707555357185817 absolute error 5.392908342116698e-14 relative error 3.666760526237835e-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 Radius of convergence (three term test) for eq 2 0.1402764006034784 Order of pole (three term test) -1.4158270346727981 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y2[1] (analytic) -0.9876050739202247 y2[1] (numeric) -0.987605073920208 absolute error 1.6653345369377348e-14 relative error 1.686235298819713e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.15695928760996464 y1[1] (numeric) 0.15695928761001862 absolute error 5.3984594572398237e-14 relative error 3.439401095304857e-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 Radius of convergence (three term test) for eq 2 0.14947252380461806 Order of pole (three term test) -1.4884753272706301 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y2[1] (analytic) -0.9859861273616802 y2[1] (numeric) -0.9859861273616628 absolute error 1.7430501486614958e-14 relative error 1.7678242120156208e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.16682732585016302 y1[1] (numeric) 0.16682732585021703 absolute error 5.4012350148013866e-14 relative error 3.2376200884815106e-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 Radius of convergence (three term test) for eq 2 0.1586087428964147 Order of pole (three term test) -1.5657197302948374 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y2[1] (analytic) -0.984268583012052 y2[1] (numeric) -0.9842685830120337 absolute error 1.8318679906315083e-14 relative error 1.8611464616960935e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.1766786814967987 y1[1] (numeric) 0.17667868149685273 absolute error 5.4040105723629495e-14 relative error 3.058665893689538e-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 Radius of convergence (three term test) for eq 2 0.16768139719242275 Order of pole (three term test) -1.647529226402093 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y2[1] (analytic) -0.9824526126243437 y2[1] (numeric) -0.9824526126243245 absolute error 1.9206858326015208e-14 relative error 1.9549908137258174e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.18651236942251642 y1[1] (numeric) 0.1865123694225705 absolute error 5.4067861299245124e-14 relative error 2.8988887689675053e-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 Radius of convergence (three term test) for eq 2 0.17668685162900896 Order of pole (three term test) -1.733870966033351 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y2[1] (analytic) -0.9805383977940807 y2[1] (numeric) -0.9805383977940606 absolute error 2.0095036745715333e-14 relative error 2.049388049557588e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.19632740626671835 y1[1] (numeric) 0.19632740626677245 absolute error 5.409561687486075e-14 relative error 2.7553777591993332e-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 Radius of convergence (three term test) for eq 2 0.18562149822913662 Order of pole (three term test) -1.8247102807566475 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y2[1] (analytic) -0.978526129941151 y2[1] (numeric) -0.97852612994113 absolute error 2.098321516541546e-14 relative error 2.1443694269745663e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.20612281053389925 y1[1] (numeric) 0.20612281053395334 absolute error 5.409561687486075e-14 relative error 2.6244362152224832e-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 Radius of convergence (three term test) for eq 2 0.1944817575549809 Order of pole (three term test) -1.9200106973470832 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y2[1] (analytic) -0.9764160102906628 y2[1] (numeric) -0.976416010290641 absolute error 2.1871393585115584e-14 relative error 2.239966710357897e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.21589760269179517 y1[1] (numeric) 0.21589760269184927 absolute error 5.409561687486075e-14 relative error 2.5056145228293713e-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 Radius of convergence (three term test) for eq 2 0.20326408014878242 Order of pole (three term test) -2.019733952598043 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y2[1] (analytic) -0.974208249852823 y2[1] (numeric) -0.9742082498528001 absolute error 2.2870594307278225e-14 relative error 2.3476083589656897e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.225650805269336 y1[1] (numeric) 0.22565080526939008 absolute error 5.4067861299245124e-14 relative error 2.3960854575595205e-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 Radius of convergence (three term test) for eq 2 0.21196494796134271 Order of pole (three term test) -2.12384000885733 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y2[1] (analytic) -0.9719030694018352 y2[1] (numeric) -0.9719030694018115 absolute error 2.375877272697835e-14 relative error 2.4445619604433246e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.23538144295439162 y1[1] (numeric) 0.23538144295444566 absolute error 5.4040105723629495e-14 relative error 2.2958524276741945e-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 Radius of convergence (three term test) for eq 2 0.2205808757675839 Order of pole (three term test) -2.2322870702816897 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y2[1] (analytic) -0.9695006994538239 y2[1] (numeric) -0.9695006994537992 absolute error 2.4646951146678475e-14 relative error 2.5422313940117356e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.24508854269130234 y1[1] (numeric) 0.24508854269135633 absolute error 5.3984594572398237e-14 relative error 2.2026568022967006e-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 Radius of convergence (three term test) for eq 2 0.22910841256858552 Order of pole (three term test) -2.3450315998027733 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y2[1] (analytic) -0.9670013802437817 y2[1] (numeric) -0.9670013802437561 absolute error 2.55351295663786e-14 relative error 2.6406507878966187e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.25477113377818367 y1[1] (numeric) 0.2547711337782376 absolute error 5.395683899678261e-14 relative error 2.1178552764835634e-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 Radius of convergence (three term test) for eq 2 0.237544142979529 Order of pole (three term test) -2.4620283367973874 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y2[1] (analytic) -0.9644053617015469 y2[1] (numeric) -0.9644053617015205 absolute error 2.6423307986078726e-14 relative error 2.739854944341953e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.2644282479639958 y1[1] (numeric) 0.2644282479640497 absolute error 5.390132784555135e-14 relative error 2.0384103536809158e-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 Radius of convergence (three term test) for eq 2 0.24588468860298224 Order of pole (three term test) -2.5832303154545624 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y2[1] (analytic) -0.9617129034268105 y2[1] (numeric) -0.9617129034267831 absolute error 2.7422508708241367e-14 relative error 2.851423601630849e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.27405891954536765 y1[1] (numeric) 0.27405891954542144 absolute error 5.3790305543088834e-14 relative error 1.962727782490013e-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 Radius of convergence (three term test) for eq 2 0.2541267093869621 Order of pole (three term test) -2.708588883831635 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y2[1] (analytic) -0.9589242746631561 y2[1] (numeric) -0.9589242746631277 absolute error 2.842170943040401e-14 relative error 2.963915940118189e-12% Correct digits 14 h 0.01 y1[1] (analytic) 0.2836621854631666 y1[1] (numeric) 0.28366218546322036 absolute error 5.3734794391857577e-14 relative error 1.8943234997685304e-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 Radius of convergence (three term test) for eq 2 0.2622669049672211 Order of pole (three term test) -2.838053723591314 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2; Iterations 491 Total Elapsed Time 41.0 Seconds Elapsed Time(since restart) 40.0 Seconds Time to Timeout 2 Minutes 19.0 Seconds Percent Done 100.40816326530484%