##############ECHO OF PROBLEM################# ##############temp/lin_coshpostode.ode################# diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ; ! #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=2.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=100 #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_y (x) return(sinh(2.0*x+3.0)/2) 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 1.9 estimated_steps 1900000.0 step_error 5.263157894736842e-17 est_needed_step_err 5.263157894736842e-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 1.0188751961806015e-174 estimated_step_error 1.0188751961806015e-174 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 6.837555443259934e-167 estimated_step_error 6.837555443259934e-167 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 4.588605442313689e-159 estimated_step_error 4.588605442313689e-159 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 3.079360528058467e-151 estimated_step_error 3.079360528058467e-151 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 2.0665232545022217e-143 estimated_step_error 2.0665232545022217e-143 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 1.3868194558353998e-135 estimated_step_error 1.3868194558353998e-135 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 9.306776758387309e-128 estimated_step_error 9.306776758387309e-128 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 6.245657303597564e-120 estimated_step_error 6.245657303597564e-120 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 4.191369728977116e-112 estimated_step_error 4.191369728977116e-112 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 2.812753852070351e-104 estimated_step_error 2.812753852070351e-104 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 1.8875712408214815e-96 estimated_step_error 1.8875712408214815e-96 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 1.266679408068672e-88 estimated_step_error 1.266679408068672e-88 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 8.499894493959363e-81 estimated_step_error 8.499894493959363e-81 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 5.703313898021666e-73 estimated_step_error 5.703313898021666e-73 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 3.826262657025563e-65 estimated_step_error 3.826262657025563e-65 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 2.5661943707276186e-57 estimated_step_error 2.5661943707276186e-57 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 1.7200369819987108e-49 estimated_step_error 1.7200369819987108e-49 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 1.151459573928656e-41 estimated_step_error 1.151459573928656e-41 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 6.122941998282747 y[1] (numeric) 6.122941998282747 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.468482779476682 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 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 6.24704128076929 y[1] (numeric) 6.247041280769287 absolute error 2.6645352591003757e-15 relative error 4.2652755750194954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.469716617662243 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 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 6.373639463063135 y[1] (numeric) 6.373639463063129 absolute error 6.217248937900877e-15 relative error 9.754629162712165e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.470902227566933 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 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 6.502787186125196 y[1] (numeric) 6.502787186125189 absolute error 7.105427357601002e-15 relative error 1.0926741340638737e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.472041488649596 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 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 6.634536110766698 y[1] (numeric) 6.634536110766684 absolute error 1.4210854715202004e-14 relative error 2.1419515212435515e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.473136207563249 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 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 6.768938938314161 y[1] (numeric) 6.768938938314147 absolute error 1.4210854715202004e-14 relative error 2.0994213191619203e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.474188120941847 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 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 6.906049431690678 y[1] (numeric) 6.906049431690658 absolute error 2.042810365310288e-14 relative error 2.9580013660721584e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.475198898082992 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 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 7.045922436921752 y[1] (numeric) 7.045922436921732 absolute error 2.042810365310288e-14 relative error 2.899280234204165e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.476170143530158 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 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 7.1886139050744875 y[1] (numeric) 7.188613905074459 absolute error 2.842170943040401e-14 relative error 3.9537120515459795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.477103399558205 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 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 7.334180914638709 y[1] (numeric) 7.33418091463868 absolute error 2.842170943040401e-14 relative error 3.875239752223115e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.478000148565418 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 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 7.482681694359174 y[1] (numeric) 7.482681694359139 absolute error 3.4638958368304884e-14 relative error 4.629217142086572e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.478861815375652 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 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 7.6341756465277975 y[1] (numeric) 7.634175646527762 absolute error 3.552713678800501e-14 relative error 4.65369653947687e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.479689769453605 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 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 7.788723370745403 y[1] (numeric) 7.788723370745361 absolute error 4.263256414560601e-14 relative error 5.473626692884582e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.480485327036478 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 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 7.94638668816233 y[1] (numeric) 7.9463866881622875 absolute error 4.263256414560601e-14 relative error 5.365025113755842e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.481249753185104 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 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 8.107228666207765 y[1] (numeric) 8.107228666207714 absolute error 5.1514348342607263e-14 relative error 6.354125492639348e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.481984263757282 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 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 8.271313643817498 y[1] (numeric) 8.271313643817447 absolute error 5.1514348342607263e-14 relative error 6.228073382407925e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.482690027306397 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 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 8.43870725717042 y[1] (numeric) 8.438707257170359 absolute error 6.039613253960852e-14 relative error 7.157036107430977e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.483368166907844 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 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 8.609476465943798 y[1] (numeric) 8.609476465943736 absolute error 6.217248937900877e-14 relative error 7.221401861651203e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.484019761916134 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 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 8.78368958009811 y[1] (numeric) 8.783689580098041 absolute error 6.927791673660977e-14 relative error 7.887108954029767e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.484645849654935 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 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 8.961416287201878 y[1] (numeric) 8.961416287201809 absolute error 6.927791673660977e-14 relative error 7.730688377410617e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.485247427042857 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 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 9.14272768030768 y[1] (numeric) 9.1427276803076 absolute error 7.993605777301127e-14 relative error 8.743130121351399e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.485825452157101 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 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 9.327696286390255 y[1] (numeric) 9.327696286390175 absolute error 7.993605777301127e-14 relative error 8.569753486682819e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.486380845737436 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 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 9.516396095358337 y[1] (numeric) 9.516396095358248 absolute error 8.881784197001252e-14 relative error 9.333138415007107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.486914492632614 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 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 9.708902589651528 y[1] (numeric) 9.708902589651437 absolute error 9.059419880941277e-14 relative error 9.331044160024308e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.487427243191423 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 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 9.905292774434349 y[1] (numeric) 9.905292774434248 absolute error 1.0125233984581428e-13 relative error 1.0222044128483258e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.487919914600486 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 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 10.105645208399265 y[1] (numeric) 10.105645208399164 absolute error 1.0125233984581428e-13 relative error 1.0019383993578047e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.488393292170745 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 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 10.310040035191282 y[1] (numeric) 10.310040035191172 absolute error 1.1013412404281553e-13 relative error 1.0682220793216563e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.488848130574466 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 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 10.518559015466401 y[1] (numeric) 10.51855901546629 absolute error 1.1191048088221578e-13 relative error 1.0639335741489262e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.489285155034842 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 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 10.731285559597039 y[1] (numeric) 10.731285559596918 absolute error 1.2079226507921703e-13 relative error 1.1256085247977764e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.489705062469838 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 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 10.948304761037221 y[1] (numeric) 10.9483047610371 absolute error 1.2079226507921703e-13 relative error 1.103296516818677e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.490108522591893 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 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 11.169703430361173 y[1] (numeric) 11.16970343036104 absolute error 1.3322676295501878e-13 relative error 1.1927511216894582e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.490496178965493 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 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 11.395570129988622 y[1] (numeric) 11.395570129988489 absolute error 1.3322676295501878e-13 relative error 1.16911011415233e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.490868650023767 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 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 11.62599520961104 y[1] (numeric) 11.625995209610894 absolute error 1.4566126083082054e-13 relative error 1.252892833728372e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.491226530046037 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 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 11.861070842332625 y[1] (numeric) 11.861070842332479 absolute error 1.4566126083082054e-13 relative error 1.2280616376638592e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.491570390097593 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 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 12.100891061540876 y[1] (numeric) 12.100891061540718 absolute error 1.580957587066223e-13 relative error 1.3064803071327795e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.491900778933095 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 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 12.345551798521097 y[1] (numeric) 12.345551798520939 absolute error 1.580957587066223e-13 relative error 1.2805888411205805e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49221822386527 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 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 12.595150920830289 y[1] (numeric) 12.59515092083012 absolute error 1.687538997430238e-13 relative error 1.3398322958078483e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.492523231599803 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 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 12.849788271445387 y[1] (numeric) 12.849788271445217 absolute error 1.7053025658242404e-13 relative error 1.3271055754387323e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.492816289038082 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 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 13.10956570870187 y[1] (numeric) 13.109565708701687 absolute error 1.829647544582258e-13 relative error 1.3956583957375294e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.493097864048858 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 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 13.374587147038362 y[1] (numeric) 13.374587147038179 absolute error 1.829647544582258e-13 relative error 1.3680030078441793e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.493368406209905 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 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 13.644958598563889 y[1] (numeric) 13.644958598563692 absolute error 1.971756091734278e-13 relative error 1.4450436602583773e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49362834752114 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 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 13.920788215464034 y[1] (numeric) 13.920788215463837 absolute error 1.971756091734278e-13 relative error 1.4164112413864143e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.4938781030899 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 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 14.202186333263363 y[1] (numeric) 14.202186333263151 absolute error 2.113864638886298e-13 relative error 1.4884079037432095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.494118071789845 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 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 14.489265514960993 y[1] (numeric) 14.489265514960781 absolute error 2.113864638886298e-13 relative error 1.4589177323747793e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.494348636894102 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 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 14.782140596057404 y[1] (numeric) 14.782140596057177 absolute error 2.2737367544323206e-13 relative error 1.5381647466123794e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.494570166684008 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 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 15.08092873049006 y[1] (numeric) 15.080928730489832 absolute error 2.2737367544323206e-13 relative error 1.5076901396897158e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.494783015034065 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 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 15.385749437496656 y[1] (numeric) 15.385749437496415 absolute error 2.4158453015843406e-13 relative error 1.5701837023919529e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.494987521974364 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 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 15.696724649424299 y[1] (numeric) 15.696724649424056 absolute error 2.433608869978343e-13 relative error 1.5503927885156599e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.495184014230887 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 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 16.013978760504177 y[1] (numeric) 16.013978760503917 absolute error 2.5934809855243657e-13 relative error 1.6195106939449404e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.495372805745097 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 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 16.33763867661081 y[1] (numeric) 16.337638676610545 absolute error 2.6290081223123707e-13 relative error 1.6091726438264886e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.495554198173117 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 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 16.667833866026182 y[1] (numeric) 16.667833866025905 absolute error 2.7711166694643907e-13 relative error 1.6625535697909253e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.495728481365564 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 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 17.004696411228704 y[1] (numeric) 17.004696411228423 absolute error 2.8066438062523957e-13 relative error 1.6505109755438421e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.495895933828763 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 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 17.34836106172804 y[1] (numeric) 17.34836106172774 absolute error 2.984279490192421e-13 relative error 1.7202083122284073e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.496056823167892 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 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 17.69896528796661 y[1] (numeric) 17.698965287966313 absolute error 2.984279490192421e-13 relative error 1.6861321787107008e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.496211406512996 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 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 18.056649336309743 y[1] (numeric) 18.056649336309423 absolute error 3.197442310920451e-13 relative error 1.7707838543947244e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.496359930928302 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 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 18.42155628514591 y[1] (numeric) 18.42155628514559 absolute error 3.197442310920451e-13 relative error 1.7357069410572467e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.496502633805703 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 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 18.793832102120184 y[1] (numeric) 18.793832102119843 absolute error 3.410605131648481e-13 relative error 1.8147470473910007e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.496639743242799 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 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 19.173625702523054 y[1] (numeric) 19.173625702522713 absolute error 3.410605131648481e-13 relative error 1.7788003085924848e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49677147840631 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 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 19.561089008858705 y[1] (numeric) 19.561089008858342 absolute error 3.623767952376511e-13 relative error 1.8525389617804004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.496898049881205 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 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 19.956377011615874 y[1] (numeric) 19.956377011615515 absolute error 3.588240815588506e-13 relative error 1.7980422065086878e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497019660006327 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 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 20.359647831266287 y[1] (numeric) 20.359647831265907 absolute error 3.801403636316536e-13 relative error 1.8671264197795823e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497136503196861 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 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 20.77106278151478 y[1] (numeric) 20.771062781514395 absolute error 3.836930773104541e-13 relative error 1.847248170911707e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497248766254254 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 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 21.19078643382709 y[1] (numeric) 21.190786433826688 absolute error 4.014566457044566e-13 relative error 1.8944867712111284e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497356628664026 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 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 21.6189866832605 y[1] (numeric) 21.618986683260097 absolute error 4.014566457044566e-13 relative error 1.8569632868838527e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49746026288196 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 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 22.05583481562423 y[1] (numeric) 22.055834815623808 absolute error 4.227729277772596e-13 relative error 1.9168303141161067e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497559834609147 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 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 22.501505575995914 y[1] (numeric) 22.501505575995488 absolute error 4.263256414560601e-13 relative error 1.894653848900024e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497655503056258 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 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 22.956177238622086 y[1] (numeric) 22.95617723862164 absolute error 4.476419235288631e-13 relative error 1.9499846114436613e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497747421197525 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 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 23.420031678230135 y[1] (numeric) 23.420031678229684 absolute error 4.511946372076636e-13 relative error 1.9265329928100278e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497835736014755 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 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 23.893254442780748 y[1] (numeric) 23.89325444278027 absolute error 4.760636329592671e-13 relative error 1.9924603996468464e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.497920588731906 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 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 24.376034827689423 y[1] (numeric) 24.376034827688947 absolute error 4.760636329592671e-13 relative error 1.9529986575933713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498002115040425 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 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 24.86856595154733 y[1] (numeric) 24.86856595154683 absolute error 4.973799150320701e-13 relative error 2.0000345657290426e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498080445315743 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 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 25.371044833371133 y[1] (numeric) 25.371044833370632 absolute error 5.009326287108706e-13 relative error 1.974426484998293e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498155704825491 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 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 25.883672471413416 y[1] (numeric) 25.88367247141289 absolute error 5.258016244624741e-13 relative error 2.0314027116638213e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498228013929301 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 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 26.406653923564473 y[1] (numeric) 26.406653923563947 absolute error 5.258016244624741e-13 relative error 1.9911709601089036e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498297488271078 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 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 26.940198389378395 y[1] (numeric) 26.940198389377844 absolute error 5.506706202140776e-13 relative error 2.044048125611385e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498364238963578 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 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 27.48451929375548 y[1] (numeric) 27.484519293754925 absolute error 5.542233338928781e-13 relative error 2.016492731669491e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498428372765813 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 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 28.039834372315234 y[1] (numeric) 28.03983437231465 absolute error 5.826450433232822e-13 relative error 2.0779189904864386e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498489992253575 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 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 28.606365758493332 y[1] (numeric) 28.606365758492746 absolute error 5.861977570020827e-13 relative error 2.049186401205258e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498549195983168 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 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 29.18434007239815 y[1] (numeric) 29.184340072397536 absolute error 6.146194664324867e-13 relative error 2.105990626849154e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498606078648876 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 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 29.773988511461624 y[1] (numeric) 29.773988511461006 absolute error 6.181721801112872e-13 relative error 2.0762155526234555e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498660731234228 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 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 30.375546942921513 y[1] (numeric) 30.375546942920867 absolute error 6.465938895416912e-13 relative error 2.1286658335953635e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498713241157226 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 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 30.989255998171238 y[1] (numeric) 30.989255998170588 absolute error 6.501466032204917e-13 relative error 2.097974224546916e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498763692410101 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 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 31.61536116901585 y[1] (numeric) 31.615361169015166 absolute error 6.821210263296962e-13 relative error 2.157562023989144e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498812165693469 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 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 32.25411290587181 y[1] (numeric) 32.254112905871125 absolute error 6.821210263296962e-13 relative error 2.1148342486440456e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498858738545188 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 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 32.90576671795072 y[1] (numeric) 32.90576671795 absolute error 7.176481631177012e-13 relative error 2.1809191357520032e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498903485464355 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 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 33.570583275466184 y[1] (numeric) 33.57058327546547 absolute error 7.176481631177012e-13 relative error 2.1377292054444813e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498946478030268 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 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 34.24882851390561 y[1] (numeric) 34.24882851390486 absolute error 7.460698725481052e-13 relative error 2.1783807064968315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.498987785016839 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 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 34.94077374040771 y[1] (numeric) 34.940773740406954 absolute error 7.531752999057062e-13 relative error 2.1555770501861753e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499027472502497 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 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 35.64669574228919 y[1] (numeric) 35.6466957422884 absolute error 7.887024366937112e-13 relative error 2.212554123938169e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499065603975762 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 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 36.36687689776317 y[1] (numeric) 36.36687689776238 absolute error 7.887024366937112e-13 relative error 2.168738434457709e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499102240436759 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 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 37.10160528889445 y[1] (numeric) 37.10160528889362 absolute error 8.242295734817162e-13 relative error 2.2215469305540568e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499137440494652 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 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 37.851174816835915 y[1] (numeric) 37.85117481683509 absolute error 8.242295734817162e-13 relative error 2.1775534774553553e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499171260461404 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 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 38.61588531939317 y[1] (numeric) 38.61588531939235 absolute error 8.242295734817162e-13 relative error 2.13443137885999e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499203754441703 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 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 39.39604269096356 y[1] (numeric) 39.3960426909627 absolute error 8.597567102697212e-13 relative error 2.182342823145857e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49923497441951 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 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 40.19195900489791 y[1] (numeric) 40.19195900489701 absolute error 9.023892744153272e-13 relative error 2.245198534128081e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499264970341121 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 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 41.00395263833411 y[1] (numeric) 41.00395263833321 absolute error 9.023892744153272e-13 relative error 2.2007372859261724e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499293790195042 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 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 41.83234839955231 y[1] (numeric) 41.8323483995514 absolute error 9.094947017729282e-13 relative error 2.1741421090828877e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499321480088689 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 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 42.67747765790244 y[1] (numeric) 42.67747765790149 absolute error 9.521272659185342e-13 relative error 2.230982987210895e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499348084322099 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 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 43.539678476356364 y[1] (numeric) 43.53967847635537 absolute error 9.947598300641403e-13 relative error 2.2847202020665614e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499373645458785 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 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 44.419295746737575 y[1] (numeric) 44.41929574673658 absolute error 9.947598300641403e-13 relative error 2.2394768159673075e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49939820439374 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 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 45.31668132768265 y[1] (numeric) 45.31668132768166 absolute error 9.947598300641403e-13 relative error 2.1951294775340713e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499421800418888 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 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 46.23219418538932 y[1] (numeric) 46.23219418538828 absolute error 1.0373923942097463e-12 relative error 2.243874452615947e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49944447128587 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 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 47.166200537207615 y[1] (numeric) 47.166200537206535 absolute error 1.0800249583553523e-12 relative error 2.2898281948815485e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49946625326641 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 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 48.11907399813181 y[1] (numeric) 48.11907399813073 absolute error 1.0800249583553523e-12 relative error 2.244484086284128e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499487181210307 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 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 49.09119573025147 y[1] (numeric) 49.091195730250384 absolute error 1.0871303857129533e-12 relative error 2.2145119293621744e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499507288601219 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 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 50.082954595221274 y[1] (numeric) 50.08295459522014 absolute error 1.1368683772161603e-12 relative error 2.2699706644795994e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499526607610148 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 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 51.0947473098108 y[1] (numeric) 51.09474730980961 absolute error 1.1866063687193673e-12 relative error 2.322364687556689e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499545169146911 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 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 52.12697860459659 y[1] (numeric) 52.126978604595394 absolute error 1.1937117960769683e-12 relative error 2.2900076467729634e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49956300290957 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 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 53.18006138585986 y[1] (numeric) 53.180061385858664 absolute error 1.1937117960769683e-12 relative error 2.244660432818467e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499580137431924 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 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 54.254416900754464 y[1] (numeric) 54.25441690075321 absolute error 1.2505552149377763e-12 relative error 2.3049832370797926e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499596600129165 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 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 55.35047490581124 y[1] (numeric) 55.35047490580994 absolute error 1.3002932064409833e-12 relative error 2.3491997289159045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499612417341677 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 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 56.46867383884646 y[1] (numeric) 56.468673838845156 absolute error 1.3073986337985843e-12 relative error 2.315263569903755e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499627614377228 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 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 57.60946099434291 y[1] (numeric) 57.6094609943416 absolute error 1.3073986337985843e-12 relative error 2.2694165354662273e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49964221555139 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 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 58.77329270237354 y[1] (numeric) 58.773292702372174 absolute error 1.3642420526593924e-12 relative error 2.3211938449116327e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499656244226474 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 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 59.96063451113947 y[1] (numeric) 59.960634511138046 absolute error 1.4210854715202004e-12 relative error 2.3700307428471117e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499669722848841 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 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 61.17196137319559 y[1] (numeric) 61.17196137319416 absolute error 1.4352963262354024e-12 relative error 2.3463304004247972e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499682672984878 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 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 62.40775783543801 y[1] (numeric) 62.40775783543658 absolute error 1.4352963262354024e-12 relative error 2.29986843946567e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499695115355461 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 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 63.6685182329292 y[1] (numeric) 63.6685182329277 absolute error 1.4992451724538114e-12 relative error 2.3547668676203076e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499707069869059 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 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 64.95474688663846 y[1] (numeric) 64.9547468866369 absolute error 1.5631940186722204e-12 relative error 2.4065893465805773e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499718555653642 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 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 66.26695830517714 y[1] (numeric) 66.26695830517558 absolute error 1.5631940186722204e-12 relative error 2.3589343145543095e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499729591087242 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 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 67.60567739060913 y[1] (numeric) 67.60567739060755 absolute error 1.5774048733874224e-12 relative error 2.3332432042261204e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499740193827389 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 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 68.97143964841847 y[1] (numeric) 68.97143964841683 absolute error 1.6342482922482304e-12 relative error 2.3694565469110143e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499750380839291 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 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 70.36479140171863 y[1] (numeric) 70.36479140171693 absolute error 1.7053025658242404e-12 relative error 2.423516835413498e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499760168423041 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 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 71.78629000978916 y[1] (numeric) 71.78629000978745 absolute error 1.7053025658242404e-12 relative error 2.3755268110271426e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499769572239629 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 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 73.23650409102689 y[1] (numeric) 73.23650409102517 absolute error 1.7195134205394424e-12 relative error 2.347891180608826e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499778607336072 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 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 74.71601375040083 y[1] (numeric) 74.71601375039904 absolute error 1.7905676941154525e-12 relative error 2.3964978914655315e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499787288169397 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 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 76.22541081150175 y[1] (numeric) 76.22541081149988 absolute error 1.8616219676914625e-12 relative error 2.4422590155598873e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499795628629863 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 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 77.76529905327955 y[1] (numeric) 77.76529905327769 absolute error 1.8616219676914625e-12 relative error 2.3938980372415265e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499803642063092 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 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 79.33629445156313 y[1] (numeric) 79.33629445156127 absolute error 1.8616219676914625e-12 relative error 2.346494729254126e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49981134129147 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 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 80.9390254254588 y[1] (numeric) 80.93902542545685 absolute error 1.9468870959826745e-12 relative error 2.405375016253031e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499818738634671 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 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 82.57413308872603 y[1] (numeric) 82.574133088724 absolute error 2.0321522242738865e-12 relative error 2.461003401743662e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499825845929319 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 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 84.2422715062318 y[1] (numeric) 84.24227150622976 absolute error 2.0463630789890885e-12 relative error 2.4291404331823e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49983267454797 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 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 85.94410795558532 y[1] (numeric) 85.94410795558328 absolute error 2.0463630789890885e-12 relative error 2.3810394076655253e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499839235417275 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 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 87.68032319405788 y[1] (numeric) 87.68032319405575 absolute error 2.1316282072803006e-12 relative error 2.431136348074914e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499845539035482 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 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 89.45161173089461 y[1] (numeric) 89.4516117308924 absolute error 2.2168933355715126e-12 relative error 2.478315697922575e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499851595489227 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 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 91.25868210512769 y[1] (numeric) 91.25868210512547 absolute error 2.2168933355715126e-12 relative error 2.429241015137286e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499857414469654 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 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 93.10225716900148 y[1] (numeric) 93.10225716899924 absolute error 2.2311041902867146e-12 relative error 2.396401825400173e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49986300528796 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 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 94.98307437712292 y[1] (numeric) 94.9830743771206 absolute error 2.3163693185779266e-12 relative error 2.438717986091882e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499868376890241 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 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 96.9018860814531 y[1] (numeric) 96.90188608145068 absolute error 2.4158453015843406e-12 relative error 2.4930838802803554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49987353787184 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 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 98.85945983225814 y[1] (numeric) 98.85945983225572 absolute error 2.4158453015843406e-12 relative error 2.44371687411956e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499878496491101 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 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 100.8565786851398 y[1] (numeric) 100.85657868513736 absolute error 2.4300561562995426e-12 relative error 2.40941759871296e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499883260682555 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 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 102.8940415142679 y[1] (numeric) 102.89404151426538 absolute error 2.5153212845907547e-12 relative error 2.4445742897969125e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499887838069647 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 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 104.97266333194057 y[1] (numeric) 104.97266333193795 absolute error 2.6147972675971687e-12 relative error 2.4909316241017492e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.4998922359769 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 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 107.09327561460009 y[1] (numeric) 107.09327561459746 absolute error 2.6290081223123707e-12 relative error 2.4548769352928042e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499896461441661 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 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 109.25672663543483 y[1] (numeric) 109.25672663543219 absolute error 2.6432189770275727e-12 relative error 2.419273447434867e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499900521225337 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 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 111.46388180369962 y[1] (numeric) 111.46388180369686 absolute error 2.7569058147491887e-12 relative error 2.47336246516554e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499904421824269 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 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 113.71562401089079 y[1] (numeric) 113.71562401088794 absolute error 2.8563817977556027e-12 relative error 2.5118639787634113e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499908169480022 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 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 116.01285398391477 y[1] (numeric) 116.0128539839119 absolute error 2.8705926524708048e-12 relative error 2.4743746523715498e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499911770189494 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 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 118.35649064539098 y[1] (numeric) 118.35649064538809 absolute error 2.8848035071860068e-12 relative error 2.437385133215207e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49991522971442 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 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 120.74747148123303 y[1] (numeric) 120.74747148123004 absolute error 2.9984903449076228e-12 relative error 2.4832738177657473e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499918553590616 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 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 123.18675291565533 y[1] (numeric) 123.18675291565222 absolute error 3.112177182629239e-12 relative error 2.5263894931625592e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499921747136849 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 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 125.67531069375573 y[1] (numeric) 125.6753106937526 absolute error 3.126388037344441e-12 relative error 2.487670824194571e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499924815463356 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 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 128.21414027182678 y[1] (numeric) 128.21414027182365 absolute error 3.126388037344441e-12 relative error 2.4384112631541155e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499927763479999 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 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 130.80425721555133 y[1] (numeric) 130.8042572155481 absolute error 3.240074875066057e-12 relative error 2.4770408425826406e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499930595904114 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 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 133.44669760624214 y[1] (numeric) 133.44669760623876 absolute error 3.382183422218077e-12 relative error 2.5344826682768887e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49993331726809 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 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 136.14251845528835 y[1] (numeric) 136.14251845528494 absolute error 3.410605131648481e-12 relative error 2.505172645802483e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49993593192659 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 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 138.89279812697444 y[1] (numeric) 138.89279812697103 absolute error 3.410605131648481e-12 relative error 2.455566579147278e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499938444063542 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 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 141.6986367698401 y[1] (numeric) 141.69863676983658 absolute error 3.524291969370097e-12 relative error 2.4871742239091364e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499940857698823 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 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 144.5611567567541 y[1] (numeric) 144.56115675675042 absolute error 3.666400516522117e-12 relative error 2.5362279873641215e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499943176694687 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 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 147.4815031338784 y[1] (numeric) 147.48150313387472 absolute error 3.666400516522117e-12 relative error 2.4860070168893593e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499945404761943 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 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 150.46084407870254 y[1] (numeric) 150.46084407869884 absolute error 3.694822225952521e-12 relative error 2.4556702765935876e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499947545465945 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 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 153.50037136732962 y[1] (numeric) 153.50037136732578 absolute error 3.836930773104541e-12 relative error 2.4996231207302326e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499949602232194 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 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 156.60130085120255 y[1] (numeric) 156.60130085119857 absolute error 3.979039320256561e-12 relative error 2.540872456760314e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499951578351894 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 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 159.76487294346103 y[1] (numeric) 159.76487294345702 absolute error 4.007461029686965e-12 relative error 2.5083492734383233e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499953476987228 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 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 162.99235311512356 y[1] (numeric) 162.99235311511956 absolute error 4.007461029686965e-12 relative error 2.4586803939547056e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499955301176353 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 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 166.28503240129265 y[1] (numeric) 166.2850324012885 absolute error 4.149569576838985e-12 relative error 2.4954558548750822e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499957053838342 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 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 169.6442279175856 y[1] (numeric) 169.64422791758128 absolute error 4.320099833421409e-12 relative error 2.5465645878150038e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499958737777767 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 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 173.07128338699863 y[1] (numeric) 173.07128338699428 absolute error 4.348521542851813e-12 relative error 2.5125609851336436e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49996035568927 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 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 176.56756967741433 y[1] (numeric) 176.56756967740998 absolute error 4.348521542851813e-12 relative error 2.4628087427359856e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499961910161812 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 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 180.1344853499668 y[1] (numeric) 180.1344853499623 absolute error 4.519051799434237e-12 relative error 2.508709973359396e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499963403682846 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 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 183.77345721848442 y[1] (numeric) 183.77345721847973 absolute error 4.689582056016661e-12 relative error 2.55182773780074e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499964838642317 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 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 187.48594092023473 y[1] (numeric) 187.48594092023 absolute error 4.718003765447065e-12 relative error 2.5164573633040168e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49996621733642 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 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 191.27342149819899 y[1] (numeric) 191.27342149819424 absolute error 4.746425474877469e-12 relative error 2.4814872017763124e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49996754197135 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 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 195.13741399510897 y[1] (numeric) 195.13741399510405 absolute error 4.916955731459893e-12 relative error 2.5197401312201126e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499968814666762 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 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 199.0794640594839 y[1] (numeric) 199.0794640594788 absolute error 5.115907697472721e-12 relative error 2.569781730949464e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499970037459242 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 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 203.1011485639107 y[1] (numeric) 203.10114856390555 absolute error 5.144329406903125e-12 relative error 2.5328903569860107e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49997121230549 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 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 207.20407623581445 y[1] (numeric) 207.2040762358093 absolute error 5.144329406903125e-12 relative error 2.482735620050484e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499972341085494 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 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 211.3898883009706 y[1] (numeric) 211.38988830096525 absolute error 5.343281372915953e-12 relative error 2.527690144435078e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49997342560553 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 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 215.66025914001654 y[1] (numeric) 215.660259140011 absolute error 5.5422333389287814e-12 relative error 2.569890883480071e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499974467601035 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 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 220.01689695822677 y[1] (numeric) 220.0168969582212 absolute error 5.5706550483591855e-12 relative error 2.5319214684756012e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499975468739429 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 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 224.46154446881803 y[1] (numeric) 224.46154446881243 absolute error 5.5990767577895895e-12 relative error 2.4944481118312037e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499976430622722 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 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 228.9959795900575 y[1] (numeric) 228.9959795900517 absolute error 5.7980287238024175e-12 relative error 2.5319347239990388e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49997735479012 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 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 233.62201615645344 y[1] (numeric) 233.62201615644742 absolute error 6.0254023992456496e-12 relative error 2.579124390061988e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499978242720484 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 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 238.34150464431352 y[1] (numeric) 238.34150464430746 absolute error 6.0538241086760536e-12 relative error 2.5399789758441003e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.49997909583468 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 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 243.1563329119604 y[1] (numeric) 243.15633291195434 absolute error 6.0538241086760536e-12 relative error 2.489683914943709e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499979915497859 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 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 248.06842695489996 y[1] (numeric) 248.06842695489365 absolute error 6.30961949354969e-12 relative error 2.54349961863418e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499980703021658 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 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 253.0797516762446 y[1] (numeric) 253.07975167623806 absolute error 6.536993168992922e-12 relative error 2.582977549841858e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499981459666255 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 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 258.1923116727012 y[1] (numeric) 258.19231167269464 absolute error 6.536993168992922e-12 relative error 2.531831070663163e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499982186642452 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 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 263.40815203643695 y[1] (numeric) 263.40815203643035 absolute error 6.59383658785373e-12 relative error 2.503277342358642e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499982885113571 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 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 268.729359173143 y[1] (numeric) 268.7293591731362 absolute error 6.821210263296962e-12 relative error 2.5383196998962957e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 9.499983556197288 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 Finished! diff ( y , x , 1 ) = cosh (2.0 * x + 3.0) ; Iterations 190 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.52631578947374%