##############ECHO OF PROBLEM################# ##############temp/expt_sin_linpostode.ode################# diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ; ! #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=3.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(0.0) 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 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 2.9 estimated_steps 2900000.0 step_error 3.448275862068966e-17 est_needed_step_err 3.448275862068966e-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 1.1483916146355002e-137 estimated_step_error 1.1483916146355002e-137 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 6.598389669015201e-130 estimated_step_error 6.598389669015201e-130 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 4.428063340634194e-122 estimated_step_error 4.428063340634194e-122 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 2.9715679659092402e-114 estimated_step_error 2.9715679659092402e-114 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 1.9941116366743738e-106 estimated_step_error 1.9941116366743738e-106 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 1.3381265330448507e-98 estimated_step_error 1.3381265330448507e-98 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 8.97868490503329e-91 estimated_step_error 8.97868490503329e-91 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 6.0237088099936546e-83 estimated_step_error 6.0237088099936546e-83 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 4.040049393720842e-75 estimated_step_error 4.040049393720842e-75 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 2.708024923037729e-67 estimated_step_error 2.708024923037729e-67 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 1.8130365732724793e-59 estimated_step_error 1.8130365732724793e-59 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 1.2109933937763048e-51 estimated_step_error 1.2109933937763048e-51 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 8.051208448329741e-44 estimated_step_error 8.051208448329741e-44 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 5.304345214403527e-36 estimated_step_error 5.304345214403527e-36 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 3.4341034062986197e-28 estimated_step_error 3.4341034062986197e-28 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 2.1517701643386244e-20 estimated_step_error 2.1517701643386244e-20 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 1.2657756920438798e-12 estimated_step_error 1.2657756920438798e-12 best_h 0.032768 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.0 y[1] (numeric) 0.0 absolute error 0.0 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 0.005310153153712957 absolute error 0.005310153153712957 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11007477471942832 Order of pole (three term test) 0.9728439830258352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.0 y[1] (numeric) 0.010281333734624476 absolute error 0.010281333734624476 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1200820349673249 Order of pole (three term test) 0.9730129118830056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.0 y[1] (numeric) 0.015366061245616455 absolute error 0.015366061245616455 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13008942633182952 Order of pole (three term test) 0.9731949173035898 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.0 y[1] (numeric) 0.020557749023779395 absolute error 0.020557749023779395 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14009695740682612 Order of pole (three term test) 0.9733911752793529 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.025850667575702962 absolute error 0.025850667575702962 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1501046362999135 Order of pole (three term test) 0.9736026823523486 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.03123978720098411 absolute error 0.03123978720098411 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16011247070692977 Order of pole (three term test) 0.9738302909689968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.03672065720595734 absolute error 0.03672065720595734 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17012046797203964 Order of pole (three term test) 0.9740747359879474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.04228931158576163 absolute error 0.04228931158576163 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1801286351369053 Order of pole (three term test) 0.9743366549513487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.04794219424998419 absolute error 0.04794219424998419 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19013697898136156 Order of pole (three term test) 0.9746166038620568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.05367609894239924 absolute error 0.05367609894239924 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2001455060575023 Order of pole (three term test) 0.9749150696460037 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.0594881203876372 absolute error 0.0594881203876372 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21015422271843212 Order of pole (three term test) 0.9752324801347959 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.06537561413976277 absolute error 0.06537561413976277 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22016313514287458 Order of pole (three term test) 0.9755692121477139 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.07133616326321102 absolute error 0.07133616326321102 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2301722493561017 Order of pole (three term test) 0.9759255981318755 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.0773675504410633 absolute error 0.0773675504410633 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2401815712482032 Order of pole (three term test) 0.9763019316391283 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.08346773444040664 absolute error 0.08346773444040664 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25019110658983423 Order of pole (three term test) 0.9766984719100833 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.0896348301094493 absolute error 0.0896348301094493 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2602008610459967 Order of pole (three term test) 0.9771154477312222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.0 y[1] (numeric) 0.09586709126276402 absolute error 0.09586709126276402 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27021084018814556 Order of pole (three term test) 0.9775530607041081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.0 y[1] (numeric) 0.10216289594753869 absolute error 0.10216289594753869 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2802210495048184 Order of pole (three term test) 0.9780114880404231 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.0 y[1] (numeric) 0.10852073368747067 absolute error 0.10852073368747067 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2902314944110863 Order of pole (three term test) 0.9784908849609802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.0 y[1] (numeric) 0.11493919438065403 absolute error 0.11493919438065403 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30024218025678506 Order of pole (three term test) 0.9789913867807104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.0 y[1] (numeric) 0.12141695858965898 absolute error 0.12141695858965898 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31025311233404823 Order of pole (three term test) 0.9795131107054671 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.1279527890104366 absolute error 0.1279527890104366 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3202642958838064 Order of pole (three term test) 0.9800561574189951 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.13454552294493483 absolute error 0.13454552294493483 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3302757361016979 Order of pole (three term test) 0.9806206124682049 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.14119406563276526 absolute error 0.14119406563276526 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3402874381433674 Order of pole (three term test) 0.9812065474850228 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.14789738432168578 absolute error 0.14789738432168578 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35029940712913143 Order of pole (three term test) 0.9818140212751214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.15465450297639194 absolute error 0.15465450297639194 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3603116481481842 Order of pole (three term test) 0.9824430807831471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.16146449754114803 absolute error 0.16146449754114803 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3703241662625052 Order of pole (three term test) 0.9830937619496053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.16832649168490724 absolute error 0.16832649168490724 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.380336966510047 Order of pole (three term test) 0.9837660904948844 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.0 y[1] (numeric) 0.17523965296836394 absolute error 0.17523965296836394 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39035005390801586 Order of pole (three term test) 0.9844600826023053 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.0 y[1] (numeric) 0.1822031893813093 absolute error 0.1822031893813093 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40036343345545683 Order of pole (three term test) 0.9851757455553899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.0 y[1] (numeric) 0.189216346206086 absolute error 0.189216346206086 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41037711013571476 Order of pole (three term test) 0.9859130783039178 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.0 y[1] (numeric) 0.19627840316914086 absolute error 0.19627840316914086 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4203910889188213 Order of pole (three term test) 0.9866720719715291 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.0 y[1] (numeric) 0.20338867184788303 absolute error 0.20338867184788303 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4304053747632608 Order of pole (three term test) 0.9874527103366371 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.2105464933044454 absolute error 0.2105464933044454 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.440419972617896 Order of pole (three term test) 0.9882549702519098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.2177512359216653 absolute error 0.2177512359216653 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4504348874234785 Order of pole (three term test) 0.9890788220423854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.2250022934197615 absolute error 0.2250022934197615 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4604501241141825 Order of pole (three term test) 0.9899242298571699 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.23229908303488087 absolute error 0.23229908303488087 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47046568761880686 Order of pole (three term test) 0.9907911520051006 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.23964104384299764 absolute error 0.23964104384299764 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4804815828619971 Order of pole (three term test) 0.9916795412544077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.247027635214634 absolute error 0.247027635214634 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4904978147652433 Order of pole (three term test) 0.9925893451138977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.25445833538758084 absolute error 0.25445833538758084 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5005143882477556 Order of pole (three term test) 0.9935205060940472 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.26193264014627843 absolute error 0.26193264014627843 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5105313082274444 Order of pole (three term test) 0.9944729619396483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.26945006159780105 absolute error 0.26945006159780105 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5205485796215333 Order of pole (three term test) 0.9954466458565274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.2770101270355062 absolute error 0.2770101270355062 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5305662073472672 Order of pole (three term test) 0.9964414867163642 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.28461237788238436 absolute error 0.28461237788238436 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5405841963225277 Order of pole (three term test) 0.9974574092463206 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.29225636870699834 absolute error 0.29225636870699834 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5506025514664702 Order of pole (three term test) 0.9984943342036251 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.29994166630564845 absolute error 0.29994166630564845 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5606212776997631 Order of pole (three term test) 0.9995521785503466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3076678488450583 absolute error 0.3076678488450583 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.570640379945355 Order of pole (three term test) 1.000630855594911 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.31543450506045506 absolute error 0.31543450506045506 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5806598631287007 Order of pole (three term test) 1.0017302751447383 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3232412335044302 absolute error 0.3232412335044302 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5906797321782585 Order of pole (three term test) 1.002850343633445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.33108764184242045 absolute error 0.33108764184242045 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6006999920257039 Order of pole (three term test) 1.003990964253453 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3389733461910504 absolute error 0.3389733461910504 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6107206476065228 Order of pole (three term test) 1.005152037062589 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.34689797049593596 absolute error 0.34689797049593596 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6207417038599905 Order of pole (three term test) 1.0063334591059476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.35486114594586643 absolute error 0.35486114594586643 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6307631657299179 Order of pole (three term test) 1.0075351245031123 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3628625104205674 absolute error 0.3628625104205674 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6407850381645817 Order of pole (three term test) 1.0087569245565267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3709017079695005 absolute error 0.3709017079695005 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6508073261172892 Order of pole (three term test) 1.0099987478319485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3789783883193846 absolute error 0.3789783883193846 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6608300345463984 Order of pole (three term test) 1.0112604802510878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3870922064083256 absolute error 0.3870922064083256 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6708531684158923 Order of pole (three term test) 1.0125420051615186 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3952428219446287 absolute error 0.3952428219446287 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6808767326953697 Order of pole (three term test) 1.0138432034200577 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4034298989885287 absolute error 0.4034298989885287 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6909007323604004 Order of pole (three term test) 1.0151639534581518 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4116531055552269 absolute error 0.4116531055552269 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7009251723924685 Order of pole (three term test) 1.0165041313590542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4199121132377536 absolute error 0.4199121132377536 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.710950057779374 Order of pole (three term test) 1.017863610913493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4282065968483022 absolute error 0.4282065968483022 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7209753935145482 Order of pole (three term test) 1.019242263705017 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4365362340767856 absolute error 0.4365362340767856 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7310011845975202 Order of pole (three term test) 1.0206399591575834 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.44490070516547103 absolute error 0.44490070516547103 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7410274360326935 Order of pole (three term test) 1.02205656462657 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.453299692598636 absolute error 0.453299692598636 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7510541528286563 Order of pole (three term test) 1.0234919454711862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.4617328808062744 absolute error 0.4617328808062744 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7610813399966394 Order of pole (three term test) 1.0249459651443051 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.470199955880954 absolute error 0.470199955880954 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7711090025482363 Order of pole (three term test) 1.0264184852977942 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.478700605306998 absolute error 0.478700605306998 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7811371454917118 Order of pole (three term test) 1.027909365918666 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.48723451770122406 absolute error 0.48723451770122406 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7911657738278794 Order of pole (three term test) 1.029418465468389 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.49580138256453277 absolute error 0.49580138256453277 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8011948925421348 Order of pole (three term test) 1.0309456411147897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5044008900436892 absolute error 0.5044008900436892 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8112245065960187 Order of pole (three term test) 1.0324907489604738 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5130327307026903 absolute error 0.5130327307026903 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8212546209130726 Order of pole (three term test) 1.034053644403997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.521696595303154 absolute error 0.521696595303154 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8312852403609778 Order of pole (three term test) 1.0356341825736621 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5303921745932066 absolute error 0.5303921745932066 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.84131636972623 Order of pole (three term test) 1.0372322189195717 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5391191591043836 absolute error 0.5391191591043836 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8513480136800703 Order of pole (three term test) 1.0388476099872292 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5478772389560903 absolute error 0.5478772389560903 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8613801767321947 Order of pole (three term test) 1.0404802144429774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5566661036672055 absolute error 0.5566661036672055 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8714128631681208 Order of pole (three term test) 1.042129894433733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5654854419744332 absolute error 0.5654854419744332 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8814460769643442 Order of pole (three term test) 1.0437965173968733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5743349416570418 absolute error 0.5743349416570418 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8914798216748984 Order of pole (three term test) 1.04547995844001 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5832142893676502 absolute error 0.5832142893676502 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9015141002790199 Order of pole (three term test) 1.0471801034929302 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5921231704687441 absolute error 0.5921231704687441 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9115489149765483 Order of pole (three term test) 1.048896853487724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6010612688746289 absolute error 0.6010612688746289 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9215842669155431 Order of pole (three term test) 1.0506301298488823 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.610028266898543 absolute error 0.610028266898543 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9316201558288086 Order of pole (three term test) 1.052379881740925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6190238451046755 absolute error 0.6190238451046755 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9416565795496438 Order of pole (three term test) 1.0541460956121267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6280476821648475 absolute error 0.6280476821648475 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9516935333696279 Order of pole (three term test) 1.0559288077122317 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6370994547196335 absolute error 0.6370994547196335 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9617310091849289 Order of pole (three term test) 1.0577281205628455 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.6461788372437128 absolute error 0.6461788372437128 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9717689943685244 Order of pole (three term test) 1.0595442244808704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.6552855019152566 absolute error 0.6552855019152566 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.981807470275994 Order of pole (three term test) 1.0613774258160014 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.6644191184891651 absolute error 0.6644191184891651 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9918464102763314 Order of pole (three term test) 1.0632281837835988 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6735793541739865 absolute error 0.6735793541739865 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0018857771540672 Order of pole (three term test) 1.0650971585829931 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6827658735123545 absolute error 0.6827658735123545 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0119255196921975 Order of pole (three term test) 1.066985274069493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6919783382647974 absolute error 0.6919783382647974 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0219655681816346 Order of pole (three term test) 1.0688937993234613 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.701216407296776 absolute error 0.701216407296776 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0320058285315745 Order of pole (three term test) 1.0708244546056842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7104797364688218 absolute error 0.7104797364688218 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0420461745537553 Order of pole (three term test) 1.0727795488588214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7197679785296492 absolute error 0.7197679785296492 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.05208643787466 Order of pole (three term test) 1.0747621577823663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7290807830121312 absolute error 0.7290807830121312 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0621263947642752 Order of pole (three term test) 1.0767763541758473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.738417796132027 absolute error 0.738417796132027 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0721657489694287 Order of pole (three term test) 1.0788275053701155 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7477786606893645 absolute error 0.7477786606893645 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.08220410937956 Order of pole (three term test) 1.080922656620825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7571630159723811 absolute error 0.7571630159723811 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0922409610161092 Order of pole (three term test) 1.083071024550883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7665704976639367 absolute error 0.7665704976639367 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1022756274250614 Order of pole (three term test) 1.0852846309676272 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7760007377503162 absolute error 0.7760007377503162 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1123072220147499 Order of pole (three term test) 1.0875791155296077 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7854533644323448 absolute error 0.7854533644323448 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1223345852165107 Order of pole (three term test) 1.0899747756521614 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7949280020387453 absolute error 0.7949280020387453 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1323562035130958 Order of pole (three term test) 1.0924978943270411 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8044242709416695 absolute error 0.8044242709416695 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1423701053372446 Order of pole (three term test) 1.0951824317748862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8139417874743431 absolute error 0.8139417874743431 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1523737275561006 Order of pole (three term test) 1.0980721754059646 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8234801638507647 absolute error 0.8234801638507647 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1623637446803134 Order of pole (three term test) 1.1012234650044999 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8330390080874064 absolute error 0.8330390080874064 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1723358510107846 Order of pole (three term test) 1.1047086370914674 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8426179239268647 absolute error 0.8426179239268647 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1822844836199435 Order of pole (three term test) 1.108620364424924 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8522165107634173 absolute error 0.8522165107634173 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.192202471315648 Order of pole (three term test) 1.1130771038659992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8618343635704399 absolute error 0.8618343635704399 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2020805915268928 Order of pole (three term test) 1.1182299084307765 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.8714710728296461 absolute error 0.8714710728296461 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2119070134017358 Order of pole (three term test) 1.1242709064210028 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.8811262244621124 absolute error 0.8811262244621124 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2216666013875213 Order of pole (three term test) 1.131443800498856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.8907993997610542 absolute error 0.8907993997610542 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2313400493735598 Order of pole (three term test) 1.1400567886622648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.9004901753263227 absolute error 0.9004901753263227 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2409028114607197 Order of pole (three term test) 1.150498351408012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.910198123000594 absolute error 0.910198123000594 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2503237922250308 Order of pole (three term test) 1.1632563744352078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9199228098072237 absolute error 0.9199228098072237 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2595637579751944 Order of pole (three term test) 1.178941068253957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9296637978897451 absolute error 0.9296637978897451 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2685734325980345 Order of pole (three term test) 1.1983120801856568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9394206444529876 absolute error 0.9394206444529876 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.2772912495615363 Order of pole (three term test) 1.2223100346564992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9491929017057983 absolute error 0.9491929017057983 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 0.958980116805348 absolute error 0.958980116805348 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 0.9687818318030074 absolute error 0.9687818318030074 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 0.978597583591779 absolute error 0.978597583591779 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 0.988426903855275 absolute error 0.988426903855275 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 0.9982693190182295 absolute error 0.9982693190182295 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.008124350198537 absolute error 1.008124350198537 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0179915131608126 absolute error 1.0179915131608126 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0278703182714637 absolute error 1.0278703182714637 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0377602704552757 absolute error 1.0377602704552757 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.047660869153504 absolute error 1.047660869153504 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0575716082834732 absolute error 1.0575716082834732 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0674919761996828 absolute error 1.0674919761996828 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0774214556564228 absolute error 1.0774214556564228 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0873595237718965 absolute error 1.0873595237718965 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.0973056519938595 absolute error 1.0973056519938595 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1072593060667753 absolute error 1.1072593060667753 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1172199460004943 absolute error 1.1172199460004943 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1271870260404642 absolute error 1.1271870260404642 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1371599946394746 absolute error 1.1371599946394746 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.147138294430949 absolute error 1.147138294430949 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1571213622037897 absolute error 1.1571213622037897 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1671086288787877 absolute error 1.1671086288787877 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.1770995194866054 absolute error 1.1770995194866054 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.187093453147347 absolute error 1.187093453147347 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.197089843051725 absolute error 1.197089843051725 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2070880964438393 absolute error 1.2070880964438393 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2170876146055785 absolute error 1.2170876146055785 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.22708779284266 absolute error 1.22708779284266 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2370880204723236 absolute error 1.2370880204723236 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.247087680812692 absolute error 1.247087680812692 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2570861511738163 absolute error 1.2570861511738163 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2670828028504197 absolute error 1.2670828028504197 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2770770011163615 absolute error 1.2770770011163615 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.2870681052208324 absolute error 1.2870681052208324 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.297055468386305 absolute error 1.297055468386305 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3070384378082527 absolute error 1.3070384378082527 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.31701635465666 absolute error 1.31701635465666 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3269885540793402 absolute error 1.3269885540793402 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.336954365207082 absolute error 1.336954365207082 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3469131111606454 absolute error 1.3469131111606454 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3568641090596234 absolute error 1.3568641090596234 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.366806670033197 absolute error 1.366806670033197 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3767400992327974 absolute error 1.3767400992327974 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3866636958467018 absolute error 1.3866636958467018 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.3965767531165816 absolute error 1.3965767531165816 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.4064785583560264 absolute error 1.4064785583560264 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.416368392971066 absolute error 1.416368392971066 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.426245532482711 absolute error 1.426245532482711 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.4361092465515377 absolute error 1.4361092465515377 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.4459587990043372 absolute error 1.4459587990043372 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.455793447862854 absolute error 1.455793447862854 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.465612445374636 absolute error 1.465612445374636 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.4754150380460194 absolute error 1.4754150380460194 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.485200466677274 absolute error 1.485200466677274 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.4949679663999293 absolute error 1.4949679663999293 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5047167667163086 absolute error 1.5047167667163086 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5144460915412925 absolute error 1.5144460915412925 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5241551592463376 absolute error 1.5241551592463376 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5338431827057735 absolute error 1.5338431827057735 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.543509369345402 absolute error 1.543509369345402 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5531529211934254 absolute error 1.5531529211934254 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.562773034933723 absolute error 1.562773034933723 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5723689019615057 absolute error 1.5723689019615057 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.5819397084413696 absolute error 1.5819397084413696 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.591484635367773 absolute error 1.591484635367773 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.601002858627963 absolute error 1.601002858627963 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0 y[1] (numeric) 1.610493549067373 absolute error 1.610493549067373 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1906542899035413 Order of pole (three term test) 1.344696635599398 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.6199558725575178 absolute error 1.6199558725575178 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1791545555925838 Order of pole (three term test) 1.3627603223584266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.629388990066409 absolute error 1.629388990066409 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.168044538116074 Order of pole (three term test) 1.3741732093055494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.6387920577315143 absolute error 1.6387920577315143 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1572183038245811 Order of pole (three term test) 1.3807021644573227 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.6481642269352856 absolute error 1.6481642269352856 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1465991139975018 Order of pole (three term test) 1.3836384573071536 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.6575046443832788 absolute error 1.6575046443832788 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1361312609481793 Order of pole (three term test) 1.3839280879891802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.6668124521848886 absolute error 1.6668124521848886 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1257742347654949 Order of pole (three term test) 1.3822655512536772 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 0.0 y[1] (numeric) 1.6760867879367216 absolute error 1.6760867879367216 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1154985346967619 Order of pole (three term test) 1.3791616514304876 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 0.0 y[1] (numeric) 1.6853267848086328 absolute error 1.6853267848086328 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.1052826500569186 Order of pole (three term test) 1.374992750219945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 0.0 y[1] (numeric) 1.6945315716324443 absolute error 1.6945315716324443 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0951108777535168 Order of pole (three term test) 1.370036644238203 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 0.0 y[1] (numeric) 1.7037002729933735 absolute error 1.7037002729933735 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.084971741036498 Order of pole (three term test) 1.364498766743461 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 0.0 y[1] (numeric) 1.7128320093241898 absolute error 1.7128320093241898 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0748568418414666 Order of pole (three term test) 1.3585313601784086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.7219258970021238 absolute error 1.7219258970021238 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.064760026688925 Order of pole (three term test) 1.3522475269456888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 0.0 y[1] (numeric) 1.7309810484485497 absolute error 1.7309810484485497 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.054676779818212 Order of pole (three term test) 1.3457315394188514 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 0.0 y[1] (numeric) 1.739996572231464 absolute error 1.739996572231464 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.044603781268422 Order of pole (three term test) 1.3390464128356299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 0.0 y[1] (numeric) 1.74897157317078 absolute error 1.74897157317078 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.03453858484647 Order of pole (three term test) 1.3322394725229454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 0.0 y[1] (numeric) 1.7579051524464602 absolute error 1.7579051524464602 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.024479383324262 Order of pole (three term test) 1.325346449626374 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 0.0 y[1] (numeric) 1.7667964077095062 absolute error 1.7667964077095062 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0144248371486004 Order of pole (three term test) 1.3183944963369454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 0.0 y[1] (numeric) 1.775644433195828 absolute error 1.775644433195828 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 1.0043739494281256 Order of pole (three term test) 1.3114044070383253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 0.0 y[1] (numeric) 1.7844483198430097 absolute error 1.7844483198430097 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9943259746574 Order of pole (three term test) 1.3043922554618494 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 0.0 y[1] (numeric) 1.793207155409992 absolute error 1.793207155409992 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9842803520394009 Order of pole (three term test) 1.297370602267593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 0.0 y[1] (numeric) 1.801920024599693 absolute error 1.801920024599693 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9742366567586344 Order of pole (three term test) 1.290349386288686 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 0.0 y[1] (numeric) 1.81058600918458 absolute error 1.81058600918458 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9641945643503083 Order of pole (three term test) 1.2833365828785164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 0.0 y[1] (numeric) 1.819204188135215 absolute error 1.819204188135215 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9541538246294108 Order of pole (three term test) 1.2763386906502934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 0.0 y[1] (numeric) 1.827773637751789 absolute error 1.827773637751789 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9441142425965894 Order of pole (three term test) 1.2693610918044576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 0.0 y[1] (numeric) 1.8362934317986612 absolute error 1.8362934317986612 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9340756644444909 Order of pole (three term test) 1.2624083191203501 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 0.0 y[1] (numeric) 1.8447626416419203 absolute error 1.8447626416419203 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9240379672827623 Order of pole (three term test) 1.2554842542601088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 0.0 y[1] (numeric) 1.8531803363899828 absolute error 1.8531803363899828 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9140010515853692 Order of pole (three term test) 1.2485922752578622 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.861545583037243 absolute error 1.861545583037243 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.9039648356251332 Order of pole (three term test) 1.2417353665506226 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.8698574466107876 absolute error 1.8698574466107876 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8939292513619403 Order of pole (three term test) 1.2349162013175474 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.8781149903201901 absolute error 1.8781149903201901 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8838942413952955 Order of pole (three term test) 1.2281372033253868 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 0.0 y[1] (numeric) 1.8863172757103959 absolute error 1.8863172757103959 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8738597566945538 Order of pole (three term test) 1.2214005936421815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 0.0 y[1] (numeric) 1.8944633628177083 absolute error 1.8944633628177083 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8638257549025967 Order of pole (three term test) 1.2147084260561303 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 0.0 y[1] (numeric) 1.9025523103288904 absolute error 1.9025523103288904 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8537921990562678 Order of pole (three term test) 1.2080626142059412 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 0.0 y[1] (numeric) 1.9105831757433873 absolute error 1.9105831757433873 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8437590566171909 Order of pole (three term test) 1.2014649524534806 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 0.0 y[1] (numeric) 1.9185550155386815 absolute error 1.9185550155386815 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8337262987281063 Order of pole (three term test) 1.1949171321638088 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 0.0 y[1] (numeric) 1.9264668853387854 absolute error 1.9264668853387854 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8236938996390308 Order of pole (three term test) 1.1884207544752265 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 0.0 y[1] (numeric) 1.9343178400858814 absolute error 1.9343178400858814 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8136618362562344 Order of pole (three term test) 1.1819773405091665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 0.0 y[1] (numeric) 1.942106934215111 absolute error 1.942106934215111 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.8036300877864743 Order of pole (three term test) 1.1755883395550655 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 0.0 y[1] (numeric) 1.94983322183252 absolute error 1.94983322183252 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7935986354484437 Order of pole (three term test) 1.1692551358246452 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 0.0 y[1] (numeric) 1.9574957568961604 absolute error 1.9574957568961604 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.783567462238821 Order of pole (three term test) 1.1629790540125218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 0.0 y[1] (numeric) 1.965093593400351 absolute error 1.965093593400351 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7735365527368948 Order of pole (three term test) 1.1567613640160728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 0.0 y[1] (numeric) 1.9726257855630975 absolute error 1.9726257855630975 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7635058929418236 Order of pole (three term test) 1.1506032849182513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 0.0 y[1] (numeric) 1.980091388016668 absolute error 1.980091388016668 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.753475470131688 Order of pole (three term test) 1.1445059884927766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 0.0 y[1] (numeric) 1.9874894560013223 absolute error 1.9874894560013223 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.743445272742793 Order of pole (three term test) 1.138470602240768 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 0.0 y[1] (numeric) 1.994819045562189 absolute error 1.994819045562189 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7334152902639988 Order of pole (three term test) 1.132498212082773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 0.0 y[1] (numeric) 2.002079213749282 absolute error 2.002079213749282 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7233855131422082 Order of pole (three term test) 1.1265898647983168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 0.0 y[1] (numeric) 2.009269018820648 absolute error 2.009269018820648 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7133559326988586 Order of pole (three term test) 1.1207465702052137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 0.0 y[1] (numeric) 2.0163875204486326 absolute error 2.0163875204486326 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.7033265410548424 Order of pole (three term test) 1.1149693031402448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 0.0 y[1] (numeric) 2.0234337799292503 absolute error 2.0234337799292503 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6932973310612996 Order of pole (three term test) 1.1092590053114533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 0.0 y[1] (numeric) 2.030406860394642 absolute error 2.030406860394642 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6832682962381551 Order of pole (three term test) 1.1036165869585841 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 0.0 y[1] (numeric) 2.0373058270285993 absolute error 2.0373058270285993 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.673239430716634 Order of pole (three term test) 1.0980429284301156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 0.0 y[1] (numeric) 2.0441297472851336 absolute error 2.0441297472851336 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6632107291871968 Order of pole (three term test) 1.0925388816276078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 0.0 y[1] (numeric) 2.050877691110061 absolute error 2.050877691110061 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6531821868512776 Order of pole (three term test) 1.0871052713676965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 0.0 y[1] (numeric) 2.0575487311655754 absolute error 2.0575487311655754 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6431537993767555 Order of pole (three term test) 1.08174289665682 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 0.0 y[1] (numeric) 2.0641419430577725 absolute error 2.0641419430577725 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6331255628572552 Order of pole (three term test) 1.0764525318755886 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 0.0 y[1] (numeric) 2.070656405567089 absolute error 2.070656405567089 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6230974737736416 Order of pole (three term test) 1.071234927922515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 0.0 y[1] (numeric) 2.077091200881607 absolute error 2.077091200881607 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6130695289594067 Order of pole (three term test) 1.0660908132606566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 0.0 y[1] (numeric) 2.0834454148331836 absolute error 2.0834454148331836 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.6030417255675655 Order of pole (three term test) 1.0610208949435436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 0.0 y[1] (numeric) 2.0897181371363382 absolute error 2.0897181371363382 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5930140610410342 Order of pole (three term test) 1.0560258595526382 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 0.0 y[1] (numeric) 2.0959084616298456 absolute error 2.0959084616298456 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5829865330841664 Order of pole (three term test) 1.0511063741256432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 0.0 y[1] (numeric) 2.102015486520958 absolute error 2.102015486520958 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5729591396370715 Order of pole (three term test) 1.0462630870160246 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 0.0 y[1] (numeric) 2.108038314632182 absolute error 2.108038314632182 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5629318788518517 Order of pole (three term test) 1.0414966287163632 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 0.0 y[1] (numeric) 2.113976053650521 absolute error 2.113976053650521 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5529047490697409 Order of pole (three term test) 1.0368076126768802 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 0.0 y[1] (numeric) 2.1198278163790834 absolute error 2.1198278163790834 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5428777488011379 Order of pole (three term test) 1.0321966360516637 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 0.0 y[1] (numeric) 2.125592720990953 absolute error 2.125592720990953 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5328508767065271 Order of pole (three term test) 1.0276642804385976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 0.0 y[1] (numeric) 2.131269891285193 absolute error 2.131269891285193 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5228241315789314 Order of pole (three term test) 1.0232111125964227 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 0.0 y[1] (numeric) 2.1368584569448488 absolute error 2.1368584569448488 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5127975123277714 Order of pole (three term test) 1.0188376851366188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 0.0 y[1] (numeric) 2.142357553796797 absolute error 2.142357553796797 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.5027710179640474 Order of pole (three term test) 1.0145445371991069 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 0.0 y[1] (numeric) 2.1477663240732627 absolute error 2.1477663240732627 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.49274464758694025 Order of pole (three term test) 1.0103321951023156 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 0.0 y[1] (numeric) 2.153083916674819 absolute error 2.153083916674819 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4827184003711858 Order of pole (three term test) 1.0062011729987694 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 0.0 y[1] (numeric) 2.1583094874346407 absolute error 2.1583094874346407 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.472692275556008 Order of pole (three term test) 1.0021519735005706 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 0.0 y[1] (numeric) 2.163442199383775 absolute error 2.163442199383775 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4626662724346465 Order of pole (three term test) 0.9981850883198122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 0.0 y[1] (numeric) 2.1684812230171424 absolute error 2.1684812230171424 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45264039034525644 Order of pole (three term test) 0.9943009988859218 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 0.0 y[1] (numeric) 2.1734257365599574 absolute error 2.1734257365599574 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44261462866261786 Order of pole (three term test) 0.9905001769730961 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 0.0 y[1] (numeric) 2.1782749262342125 absolute error 2.1782749262342125 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43258898679066476 Order of pole (three term test) 0.9867830853311325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 0.0 y[1] (numeric) 2.1830279865248157 absolute error 2.1830279865248157 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4225634641560778 Order of pole (three term test) 0.9831501783166817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 0.0 y[1] (numeric) 2.187684120444924 absolute error 2.187684120444924 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4125380602026694 Order of pole (three term test) 0.9796019025358327 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 0.0 y[1] (numeric) 2.1922425397999428 absolute error 2.1922425397999428 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40251277438631733 Order of pole (three term test) 0.9761386975153273 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 0.0 y[1] (numeric) 2.1967024654495853 absolute error 2.1967024654495853 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3924876061712072 Order of pole (three term test) 0.9727609963667582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 0.0 y[1] (numeric) 2.201063127567308 absolute error 2.201063127567308 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3824625550265068 Order of pole (three term test) 0.9694692264919101 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 0.0 y[1] (numeric) 2.205323765896313 absolute error 2.205323765896313 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37243762042378337 Order of pole (three term test) 0.9662638103181493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 0.0 y[1] (numeric) 2.2094836300012086 absolute error 2.2094836300012086 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3624128018352954 Order of pole (three term test) 0.9631451660656778 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 0.0 y[1] (numeric) 2.213541979514256 absolute error 2.213541979514256 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35238809873313315 Order of pole (three term test) 0.9601137085491338 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 0.0 y[1] (numeric) 2.2174980843749705 absolute error 2.2174980843749705 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34236351058876 Order of pole (three term test) 0.9571698500512797 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 0.0 y[1] (numeric) 2.2213512250616327 absolute error 2.2213512250616327 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33233903687368016 Order of pole (three term test) 0.9543140012375849 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 0.0 y[1] (numeric) 2.2251006928130286 absolute error 2.2251006928130286 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32231467706071526 Order of pole (three term test) 0.951546572148511 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 0.0 y[1] (numeric) 2.2287457898384364 absolute error 2.2287457898384364 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31229043062604356 Order of pole (three term test) 0.9488679732807089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 0.0 y[1] (numeric) 2.2322858295135335 absolute error 2.2322858295135335 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3022662970521145 Order of pole (three term test) 0.946278616762615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 0.0 y[1] (numeric) 2.235720136559462 absolute error 2.235720136559462 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29224227583124057 Order of pole (three term test) 0.9437789176608773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 0.0 y[1] (numeric) 2.2390480472017744 absolute error 2.2390480472017744 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28221836647042736 Order of pole (three term test) 0.941369295400896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 0.0 y[1] (numeric) 2.2422689093053436 absolute error 2.2422689093053436 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2721945684968221 Order of pole (three term test) 0.9390501753800754 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 0.0 y[1] (numeric) 2.2453820824805413 absolute error 2.2453820824805413 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2621708814643066 Order of pole (three term test) 0.9368219907667182 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 0.0 y[1] (numeric) 2.2483869381550075 absolute error 2.2483869381550075 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25214730496123144 Order of pole (three term test) 0.9346851845372321 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 0.0 y[1] (numeric) 2.2512828596041428 absolute error 2.2512828596041428 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24212383861927853 Order of pole (three term test) 0.9326402118035635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 0.0 y[1] (numeric) 2.254069241931924 absolute error 2.254069241931924 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23210048212387027 Order of pole (three term test) 0.9306875424729917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 0.0 y[1] (numeric) 2.2567454919917376 absolute error 2.2567454919917376 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2220772352257793 Order of pole (three term test) 0.9288276643531856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 0.0 y[1] (numeric) 2.2593110282344857 absolute error 2.2593110282344857 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21205409775480016 Order of pole (three term test) 0.9270610867493818 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 0.0 y[1] (numeric) 2.261765280468097 absolute error 2.261765280468097 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20203106963516154 Order of pole (three term test) 0.925388344720266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 0.0 y[1] (numeric) 2.2641076895085117 absolute error 2.2641076895085117 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1920081509034188 Order of pole (three term test) 0.9238100041194067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 0.0 y[1] (numeric) 2.2663377066969255 absolute error 2.2663377066969255 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18198534172884803 Order of pole (three term test) 0.9223266676655363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 0.0 y[1] (numeric) 2.268454793251089 absolute error 2.268454793251089 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17196264243740852 Order of pole (three term test) 0.9209389822631432 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 0.0 y[1] (numeric) 2.270458419409105 absolute error 2.270458419409105 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1619400535391379 Order of pole (three term test) 0.9196476480380033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 0.0 y[1] (numeric) 2.272348063311573 absolute error 2.272348063311573 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15191757576075507 Order of pole (three term test) 0.9184534294963856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 0.0 y[1] (numeric) 2.2741232095506736 absolute error 2.2741232095506736 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14189521008382136 Order of pole (three term test) 0.9173571696231858 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ; Iterations 291 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 30 Minutes 0.0 Seconds Percent Done 100.6896551724131%