##############ECHO OF PROBLEM################# ##############temp/sinh_sqrtpostode.ode################# diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=5.0 $array_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=10 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(20.0 * sqrt(0.1 * x + 0.2) * cosh( sqrt(0.1 * x + 0.2)) - 20.0 * sinh( sqrt(0.1 * x + 0.2))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 estimated_h 1.0e-06 estimated_answer 1.0 desired_abs_gbl_error 1.0e-10 range 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.652408880323209e-169 estimated_step_error 3.652408880323209e-169 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 2.4510895786941904e-161 estimated_step_error 2.4510895786941904e-161 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.6448976611669755e-153 estimated_step_error 1.6448976611669755e-153 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 1.1038711804646477e-145 estimated_step_error 1.1038711804646477e-145 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 7.40794128924138e-138 estimated_step_error 7.40794128924138e-138 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.971368061068723e-130 estimated_step_error 4.971368061068723e-130 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 3.3362055674041815e-122 estimated_step_error 3.3362055674041815e-122 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 2.238858702143324e-114 estimated_step_error 2.238858702143324e-114 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.502431096411705e-106 estimated_step_error 1.502431096411705e-106 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 1.008208684855444e-98 estimated_step_error 1.008208684855444e-98 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 6.76522572741286e-91 estimated_step_error 6.76522572741286e-91 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 4.539062217824613e-83 estimated_step_error 4.539062217824613e-83 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 3.0447665570008386e-75 estimated_step_error 3.0447665570008386e-75 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 2.0415033718383685e-67 estimated_step_error 2.0415033718383685e-67 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 1.3676137293130324e-59 estimated_step_error 1.3676137293130324e-59 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 9.145647199033368e-52 estimated_step_error 9.145647199033368e-52 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 6.094716781855117e-44 estimated_step_error 6.094716781855117e-44 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.033870702081652e-36 estimated_step_error 4.033870702081652e-36 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.6551348095261798 y[1] (numeric) 0.6551348095261798 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.099764966904804 Order of pole (three term test) 1.504081630494219 Radius of convergence (six term test) for eq 1 3.613954022639165 Order of pole (six term test) -0.7341600658628096 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.6598855024326582 y[1] (numeric) 0.6598794631283024 absolute error 6.039304355831554e-06 relative error 0.0009152048853274921% Correct digits 6 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1097627919424844 Order of pole (three term test) 1.5040999096887422 Radius of convergence (six term test) for eq 1 3.6313263932916913 Order of pole (six term test) -0.7340868693419402 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.6646482490656247 y[1] (numeric) 0.6646361819671613 absolute error 1.2067098463353076e-05 relative error 0.001815561611772428% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1197606076115183 Order of pole (three term test) 1.5041181781831456 Radius of convergence (six term test) for eq 1 3.6487002917028963 Order of pole (six term test) -0.7340136945998719 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.6694230265858057 y[1] (numeric) 0.6694049431148418 absolute error 1.8083470963881076e-05 relative error 0.00270135179784754% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1297584139206536 Order of pole (three term test) 1.5041364359816642 Radius of convergence (six term test) for eq 1 3.666075652365005 Order of pole (six term test) -0.7339405430439108 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.6742098123291171 y[1] (numeric) 0.6741857238196524 absolute error 2.408850946478136e-05 relative error 0.00357285062072376% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1397562108787325 Order of pole (three term test) 1.5041546830874644 Radius of convergence (six term test) for eq 1 3.6834528544353438 Order of pole (six term test) -0.7338674067054907 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.6790085838045616 y[1] (numeric) 0.6789785015040323 absolute error 3.0082300529366002e-05 relative error 0.0044303269865620075% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1497539984946052 Order of pole (three term test) 1.5041729195040987 Radius of convergence (six term test) for eq 1 3.7008314630673267 Order of pole (six term test) -0.7337942946719274 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.6838193186921799 y[1] (numeric) 0.6837832537624935 absolute error 3.606492968644126e-05 relative error 0.005274043698475244% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1597517767769423 Order of pole (three term test) 1.504191145236105 Radius of convergence (six term test) for eq 1 3.7182116583495133 Order of pole (six term test) -0.7337212032486473 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.6886419948410687 y[1] (numeric) 0.6885999583595956 absolute error 4.203648147305117e-05 relative error 0.006104257624130626% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1697495457346845 Order of pole (three term test) 1.5042093602859632 Radius of convergence (six term test) for eq 1 3.735593576585968 Order of pole (six term test) -0.7336481295531048 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.693476590267398 y[1] (numeric) 0.6934285932279548 absolute error 4.799703944324829e-05 relative error 0.006921219853252881% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.179747305376512 Order of pole (three term test) 1.5042275646581797 Radius of convergence (six term test) for eq 1 3.752976835730333 Order of pole (six term test) -0.7335750815354505 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.698323083152447 y[1] (numeric) 0.6982691364662839 absolute error 5.3946686163097723e-05 relative error 0.007725175848343098% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1897450557112474 Order of pole (three term test) 1.504245758356431 Radius of convergence (six term test) for eq 1 3.770361814960548 Order of pole (six term test) -0.733502051359606 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.703181451840722 y[1] (numeric) 0.7031215663374648 absolute error 5.988550325719544e-05 relative error 0.0085163655981586% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.1997427967476733 Order of pole (three term test) 1.5042639413837817 Radius of convergence (six term test) for eq 1 3.787748264070466 Order of pole (six term test) -0.7334290441807134 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.708051674838055 y[1] (numeric) 0.707985861266652 absolute error 6.581357140300614e-05 relative error 0.009295023759114611% Correct digits 5 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.209740528494554 Order of pole (three term test) 1.5042821137446964 Radius of convergence (six term test) for eq 1 3.805136335281485 Order of pole (six term test) -0.7333560568643307 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.7129337308097536 y[1] (numeric) 0.7128619998394056 absolute error 7.173097034807174e-05 relative error 0.010061379795650761% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.219738250960561 Order of pole (three term test) 1.5043002754430566 Radius of convergence (six term test) for eq 1 3.822526026652219 Order of pole (six term test) -0.7332830894609206 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.7178275985787987 y[1] (numeric) 0.717749960799855 absolute error 7.763777894376211e-05 relative error 0.010815658118672838% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2297359641546923 Order of pole (three term test) 1.5043184264809097 Radius of convergence (six term test) for eq 1 3.8399172145309133 Order of pole (six term test) -0.7332101445222676 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.7227332571240144 y[1] (numeric) 0.722649723048891 absolute error 8.353407512340372e-05 relative error 0.011558078212121079% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2397336680855324 Order of pole (three term test) 1.5043365668633062 Radius of convergence (six term test) for eq 1 3.8573100882711073 Order of pole (six term test) -0.7331372181137041 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.7276506855783413 y[1] (numeric) 0.7275612656423868 absolute error 8.94199359545711e-05 relative error 0.012288854766006243% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2497313627618953 Order of pole (three term test) 1.5043546965935164 Radius of convergence (six term test) for eq 1 3.874704321860099 Order of pole (six term test) -0.7330643170466349 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.7325798632270786 y[1] (numeric) 0.7324845677894467 absolute error 9.529543763187043e-05 relative error 0.013008197797313955% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.259729048192463 Order of pole (three term test) 1.504372815675718 Radius of convergence (six term test) for eq 1 3.8921002885897975 Order of pole (six term test) -0.732991433582443 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.7375207695061725 y[1] (numeric) 0.7374196088506824 absolute error 0.00010116065549015119 relative error 0.013716312770132034% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.269726724386088 Order of pole (three term test) 1.5043909241129763 Radius of convergence (six term test) for eq 1 3.909497822911686 Order of pole (six term test) -0.7329185711148654 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.7424733840005402 y[1] (numeric) 0.7423663683365157 absolute error 0.00010701566402449014 relative error 0.01441340071315099% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.2797243913514658 Order of pole (three term test) 1.504409021909188 Radius of convergence (six term test) for eq 1 3.9268969768130155 Order of pole (six term test) -0.732845728568595 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.7474376864424102 y[1] (numeric) 0.7473248259055085 absolute error 0.00011286053690162667 relative error 0.015099658332564228% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.28972204909741 Order of pole (three term test) 1.5044271090670964 Radius of convergence (six term test) for eq 1 3.9442975993965064 Order of pole (six term test) -0.7327729091238293 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.7524136567096953 y[1] (numeric) 0.7522949613627173 absolute error 0.00011869534697794837 relative error 0.015775278122542737% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.299719697632443 Order of pole (three term test) 1.5044451855928196 Radius of convergence (six term test) for eq 1 3.9616997986849527 Order of pole (six term test) -0.7327001104871655 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.7574012748243657 y[1] (numeric) 0.7572767546580738 absolute error 0.00012452016629194151 relative error 0.016440448469117852% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3097173369655275 Order of pole (three term test) 1.5044632514876586 Radius of convergence (six term test) for eq 1 3.9791036192101563 Order of pole (six term test) -0.7326273318063858 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.7624005209508926 y[1] (numeric) 0.7622701858847899 absolute error 0.00013033506610271584 relative error 0.017095353757124586% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3197149671053414 Order of pole (three term test) 1.5044813067557945 Radius of convergence (six term test) for eq 1 3.9965089867007504 Order of pole (six term test) -0.7325545745766426 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.7674113753946763 y[1] (numeric) 0.7672752352777875 absolute error 0.00013614011688878325 relative error 0.017740174468845602% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.329712588060513 Order of pole (three term test) 1.504499351401564 Radius of convergence (six term test) for eq 1 4.01391591246058 Order of pole (six term test) -0.7324818385887575 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.7724338186005077 y[1] (numeric) 0.7722918832121516 absolute error 0.00014193538835616248 relative error 0.018375087281046344% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.339710199839854 Order of pole (three term test) 1.5045173854280585 Radius of convergence (six term test) for eq 1 4.031324358027243 Order of pole (six term test) -0.732409124636348 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.7774678311510588 y[1] (numeric) 0.7773201102016066 absolute error 0.00014772094945214587 relative error 0.019000265159967025% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.349707802452097 Order of pole (three term test) 1.5045354088388472 Radius of convergence (six term test) for eq 1 4.048734528924788 Order of pole (six term test) -0.732336428484027 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.7825133937654165 y[1] (numeric) 0.7823598968970166 absolute error 0.00015349686839993826 relative error 0.019615877456271868% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3597053959058227 Order of pole (three term test) 1.5045534216384178 Radius of convergence (six term test) for eq 1 4.066146131569944 Order of pole (six term test) -0.7322637561863257 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.7875704872975682 y[1] (numeric) 0.7874112240849066 absolute error 0.00015926321266157561 relative error 0.020222089988169035% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.369702980209901 Order of pole (three term test) 1.5045714238291548 Radius of convergence (six term test) for eq 1 4.083559391091456 Order of pole (six term test) -0.7321911030781258 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.7926390927349942 y[1] (numeric) 0.7924740726860071 absolute error 0.00016502004898710787 relative error 0.020819065133124794% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3797005553730015 Order of pole (three term test) 1.504589415415075 Radius of convergence (six term test) for eq 1 4.100974367965229 Order of pole (six term test) -0.7321184679334518 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.7977191911972472 y[1] (numeric) 0.7975484237538196 absolute error 0.00017076744342758854 relative error 0.021406961912411093% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.3896981214036543 Order of pole (three term test) 1.5046073964013467 Radius of convergence (six term test) for eq 1 4.118390729872246 Order of pole (six term test) -0.7320458576814843 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.8028107639345183 y[1] (numeric) 0.8026342584732035 absolute error 0.00017650546131486866 relative error 0.021985936069146356% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.399695678310845 Order of pole (three term test) 1.5046253667889007 Radius of convergence (six term test) for eq 1 4.135808683003242 Order of pole (six term test) -0.731973267964797 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.8079137923262767 y[1] (numeric) 0.8077315581589836 absolute error 0.00018223416729312714 relative error 0.02255614015059811% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.409693226102939 Order of pole (three term test) 1.5046433265846013 Radius of convergence (six term test) for eq 1 4.153228235777866 Order of pole (six term test) -0.7319006986894507 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.813028257879914 y[1] (numeric) 0.8128403042545786 absolute error 0.00018795362533530202 relative error 0.023117723586313917% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.419690764788856 Order of pole (three term test) 1.504661275789681 Radius of convergence (six term test) for eq 1 4.170649414725815 Order of pole (six term test) -0.7318281492898304 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.8181541422293801 y[1] (numeric) 0.8179604783306493 absolute error 0.00019366389873076706 relative error 0.02367083276056688% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.429688294377263 Order of pole (three term test) 1.5046792144079089 Radius of convergence (six term test) for eq 1 4.188072181281468 Order of pole (six term test) -0.7317556205539724 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.8232914271338867 y[1] (numeric) 0.8230920620837657 absolute error 0.00019936505012096983 relative error 0.02421561108865383% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.439685814876816 Order of pole (three term test) 1.5046971424434494 Radius of convergence (six term test) for eq 1 4.205496486960683 Order of pole (six term test) -0.731683113497084 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.8284400944765746 y[1] (numeric) 0.8282350373350948 absolute error 0.00020505714147978082 relative error 0.02475219908439368% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4496833262960727 Order of pole (three term test) 1.5047150599006638 Radius of convergence (six term test) for eq 1 4.222922238727878 Order of pole (six term test) -0.7316106300461485 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.8336001262632582 y[1] (numeric) 0.8333893860291066 absolute error 0.00021074023415157406 relative error 0.025280734432736932% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4596808286438425 Order of pole (three term test) 1.504732966782099 Radius of convergence (six term test) for eq 1 4.240349820845133 Order of pole (six term test) -0.7315381622515069 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.8387715046211444 y[1] (numeric) 0.8385550902322985 absolute error 0.00021641438884589803 relative error 0.025801352055187892% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.469678321928684 Order of pole (three term test) 1.5047508630924742 Radius of convergence (six term test) for eq 1 4.257778942899734 Order of pole (six term test) -0.7314657161610452 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.8439542117975751 y[1] (numeric) 0.8437321321319382 absolute error 0.0002220796656369206 relative error 0.026314184174032782% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.479675806159383 Order of pole (three term test) 1.5047687488342232 Radius of convergence (six term test) for eq 1 4.275209408789825 Order of pole (six term test) -0.7313932957758116 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.8491482301588267 y[1] (numeric) 0.8489204940348247 absolute error 0.00022773612400195375 relative error 0.026819360379442523% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.4896732813445537 Order of pole (three term test) 1.50478662401126 Radius of convergence (six term test) for eq 1 4.292641793390854 Order of pole (six term test) -0.731320889278166 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.8543535421888588 y[1] (numeric) 0.8541201583660668 absolute error 0.00023338382279203262 relative error 0.02731700768678291% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.499670747492841 Order of pole (three term test) 1.5048044886274248 Radius of convergence (six term test) for eq 1 4.310075635672101 Order of pole (six term test) -0.7312485061281961 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.8595701304881604 y[1] (numeric) 0.8593311076678785 absolute error 0.00023902282028198663 relative error 0.02780725060167489% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.509668204612831 Order of pole (three term test) 1.5048223426868041 Radius of convergence (six term test) for eq 1 4.327510970523455 Order of pole (six term test) -0.7311761456844152 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.8647979777725272 y[1] (numeric) 0.8645533245983916 absolute error 0.0002446531741355784 relative error 0.02829021117345061% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5196656527133126 Order of pole (three term test) 1.5048401861922145 Radius of convergence (six term test) for eq 1 4.344947871008521 Order of pole (six term test) -0.7311038064090276 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.8700370668719284 y[1] (numeric) 0.8697867919304856 absolute error 0.0002502749414428074 relative error 0.0287660090555255% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5296630918027443 Order of pole (three term test) 1.5048580191480194 Radius of convergence (six term test) for eq 1 4.362386402725792 Order of pole (six term test) -0.7310314869368426 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.8752873807293646 y[1] (numeric) 0.8750314925506324 absolute error 0.00025588817873223313 relative error 0.029234761561283462% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5396605218899735 Order of pole (three term test) 1.5048758415569954 Radius of convergence (six term test) for eq 1 4.379826455019601 Order of pole (six term test) -0.7309591895597798 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.8805489023997115 y[1] (numeric) 0.880287409457759 absolute error 0.0002614929419525458 relative error 0.02969658371498885% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.549657942983515 Order of pole (three term test) 1.5048936534232173 Radius of convergence (six term test) for eq 1 4.397268257148314 Order of pole (six term test) -0.7308869095733996 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.8858216150486218 y[1] (numeric) 0.8855545257621242 absolute error 0.00026708928649754604 relative error 0.030151588306285098% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.559655355091945 Order of pole (three term test) 1.504911454750846 Radius of convergence (six term test) for eq 1 4.414711638344828 Order of pole (six term test) -0.730814650510446 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.8911055019514276 y[1] (numeric) 0.8908328246842123 absolute error 0.0002726772672152489 relative error 0.0305998859414642% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.569652758224027 Order of pole (three term test) 1.5049292455424734 Radius of convergence (six term test) for eq 1 4.432156590540396 Order of pole (six term test) -0.7307424124931376 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.896400546492055 y[1] (numeric) 0.8961222895536408 absolute error 0.00027825693841421195 relative error 0.031041585093085192% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.579650152388284 Order of pole (three term test) 1.5049470258023967 Radius of convergence (six term test) for eq 1 4.4496030222095575 Order of pole (six term test) -0.730670197483132 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.9017067321619461 y[1] (numeric) 0.9014229038080839 absolute error 0.0002838283538622033 relative error 0.031476792147452644% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.589647537593376 Order of pole (three term test) 1.5049647955340166 Radius of convergence (six term test) for eq 1 4.467051060092455 Order of pole (six term test) -0.7305980028290318 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.9070240425590015 y[1] (numeric) 0.9067346509922102 absolute error 0.0002893915667913083 relative error 0.03190561145158217% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.5996449138478703 Order of pole (three term test) 1.5049825547412337 Radius of convergence (six term test) for eq 1 4.484500677912743 Order of pole (six term test) -0.7305258290663534 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.9123524613865719 y[1] (numeric) 0.9120575147566352 absolute error 0.00029494662993667653 relative error 0.03232814536264018% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.609642281160482 Order of pole (three term test) 1.5050003034269308 Radius of convergence (six term test) for eq 1 4.501952052280027 Order of pole (six term test) -0.7304536725825397 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.9176919724523884 y[1] (numeric) 0.9173914788568878 absolute error 0.00030049359550066157 relative error 0.032744494287951474% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6196396395396726 Order of pole (three term test) 1.5050180415957262 Radius of convergence (six term test) for eq 1 4.519404763038299 Order of pole (six term test) -0.7303815420628901 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.9230425596675733 y[1] (numeric) 0.9227365271523904 absolute error 0.00030603251518290797 relative error 0.033154756731165594% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6296369889942603 Order of pole (three term test) 1.505035769249498 Radius of convergence (six term test) for eq 1 4.536859176006785 Order of pole (six term test) -0.7303094298974244 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.9284042070456469 y[1] (numeric) 0.928092643605454 absolute error 0.00031156344019289683 relative error 0.033559029335331114% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.639634329532593 Order of pole (three term test) 1.505053486394 Radius of convergence (six term test) for eq 1 4.554315069644426 Order of pole (six term test) -0.7302373407397695 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.9337768987015167 y[1] (numeric) 0.9334598122802847 absolute error 0.0003170864212319602 relative error 0.033957406921598876% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6496316611633457 Order of pole (three term test) 1.505071193032155 Radius of convergence (six term test) for eq 1 4.5717727430398885 Order of pole (six term test) -0.730165268382553 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.9391606188505364 y[1] (numeric) 0.9388380173420056 absolute error 0.0003226015085308065 relative error 0.03434998253287569% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6596289838952125 Order of pole (three term test) 1.5050888891663574 Radius of convergence (six term test) for eq 1 4.589231868310354 Order of pole (six term test) -0.7300932196151173 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.9445553518075123 y[1] (numeric) 0.9442272430556898 absolute error 0.00032810875182243127 relative error 0.03473684746950599% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.669626297736674 Order of pole (three term test) 1.505106574801879 Radius of convergence (six term test) for eq 1 4.606692684821425 Order of pole (six term test) -0.7300211894929589 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.949961081985796 y[1] (numeric) 0.9496274737854081 absolute error 0.0003336082003878582 relative error 0.03511809133175062% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6796236026963554 Order of pole (three term test) 1.5051242499411066 Radius of convergence (six term test) for eq 1 4.624154943193545 Order of pole (six term test) -0.7299491831407181 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.9553777938963126 y[1] (numeric) 0.9550386939932874 absolute error 0.000339099903025164 relative error 0.03549380205313487% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6896208987827444 Order of pole (three term test) 1.5051419145889775 Radius of convergence (six term test) for eq 1 4.641618996471037 Order of pole (six term test) -0.7298771933213075 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.9608054721466566 y[1] (numeric) 0.9604608882385828 absolute error 0.00034458390807379224 relative error 0.0358640659387497% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.6996181860046944 Order of pole (three term test) 1.5051595687464576 Radius of convergence (six term test) for eq 1 4.659084506936053 Order of pole (six term test) -0.7298052269932302 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.9662441014401857 y[1] (numeric) 0.9658940411767611 absolute error 0.0003500602634245453 relative error 0.036228967701099644% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7096154643704273 Order of pole (three term test) 1.505177212419945 Radius of convergence (six term test) for eq 1 4.676551666194913 Order of pole (six term test) -0.7297332802095582 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.9716936665751028 y[1] (numeric) 0.9713381375585972 absolute error 0.00035552901650559576 relative error 0.03658859049258985% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.719612733888753 Order of pole (three term test) 1.5051948456112545 Radius of convergence (six term test) for eq 1 4.694020341368695 Order of pole (six term test) -0.7296613557073552 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.977154152443596 y[1] (numeric) 0.9767931622292807 absolute error 0.0003609902143153487 relative error 0.03694301594202006% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7296099945680607 Order of pole (three term test) 1.505212468325315 Radius of convergence (six term test) for eq 1 4.711490584502713 Order of pole (six term test) -0.7295894523932578 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.982625544030947 y[1] (numeric) 0.9822591001275356 absolute error 0.00036644390341145083 relative error 0.03729232418569305% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7396072464169623 Order of pole (three term test) 1.5052300805653764 Radius of convergence (six term test) for eq 1 4.728962566493836 Order of pole (six term test) -0.7295175668331186 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.9881078264146677 y[1] (numeric) 0.9877359362847506 absolute error 0.00037189012991700743 relative error 0.03763659389951443% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.749604489444067 Order of pole (three term test) 1.5052476823341818 Radius of convergence (six term test) for eq 1 4.746436038330587 Order of pole (six term test) -0.7294457040831919 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.9936009847636473 y[1] (numeric) 0.9932236558241209 absolute error 0.00037732893952646673 relative error 0.03797590233027233% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.759601723657903 Order of pole (three term test) 1.5052652736361327 Radius of convergence (six term test) for eq 1 4.763911071823803 Order of pole (six term test) -0.7293738626773223 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.9991050043373182 y[1] (numeric) 0.9987222439598001 absolute error 0.00038276037751805436 relative error 0.03831032532680886% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7695989490670234 Order of pole (three term test) 1.5052828544742425 Radius of convergence (six term test) for eq 1 4.7813878758638175 Order of pole (six term test) -0.7293020383618654 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 1.0046198704848166 y[1] (numeric) 1.004231685996065 absolute error 0.0003881844887516639 relative error 0.038639937368980276% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7795961656798833 Order of pole (three term test) 1.5053004248527426 Radius of convergence (six term test) for eq 1 4.798866073647069 Order of pole (six term test) -0.7292302388556369 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 1.0101455686441678 y[1] (numeric) 1.0097519673264879 absolute error 0.0003936013176799591 relative error 0.03896481159722916% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.789593373505142 Order of pole (three term test) 1.5053179847746692 Radius of convergence (six term test) for eq 1 4.816346070653869 Order of pole (six term test) -0.7291584558544919 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 1.0156820843414636 y[1] (numeric) 1.0152830734331229 absolute error 0.0003990109083407134 relative error 0.039285019839590804% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.7995905725513075 Order of pole (three term test) 1.5053355342434664 Radius of convergence (six term test) for eq 1 4.833827501097317 Order of pole (six term test) -0.7290866968584488 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 1.021229403190091 y[1] (numeric) 1.0208249898856996 absolute error 0.00040441330439144885 relative error 0.03960063264220092% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8095877628268693 Order of pole (three term test) 1.5053530732631648 Radius of convergence (six term test) for eq 1 4.851310548974257 Order of pole (six term test) -0.7290149580886389 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 1.026787510889898 y[1] (numeric) 1.0263777023408287 absolute error 0.00040980854906935704 relative error 0.039911719291772785% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8195849443403924 Order of pole (three term test) 1.5053706018370716 Radius of convergence (six term test) for eq 1 4.868795134221402 Order of pole (six term test) -0.7289432412236465 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 1.0323563932264594 y[1] (numeric) 1.0319411965412164 absolute error 0.00041519668524303555 relative error 0.04021834784646481% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8295821171003737 Order of pole (three term test) 1.5053881199687686 Radius of convergence (six term test) for eq 1 4.8862814874369995 Order of pole (six term test) -0.7288715415147493 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 1.0379360360702705 y[1] (numeric) 1.0375154583148898 absolute error 0.0004205777553807355 relative error 0.040520585157933706% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8395792811153076 Order of pole (three term test) 1.5054056276621532 Radius of convergence (six term test) for eq 1 4.903769279700748 Order of pole (six term test) -0.7287998657363293 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 1.0435264253760117 y[1] (numeric) 1.0431004735744307 absolute error 0.00042595180158100376 relative error 0.04081849689887072% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8495764363937153 Order of pole (three term test) 1.5054231249206502 Radius of convergence (six term test) for eq 1 4.921258792409445 Order of pole (six term test) -0.7287282080855757 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 1.0491275471817794 y[1] (numeric) 1.0486962283162202 absolute error 0.00043131886555913823 relative error 0.04111214758565527% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8595735829441007 Order of pole (three term test) 1.505440611747955 Radius of convergence (six term test) for eq 1 4.938749804122721 Order of pole (six term test) -0.7286565731277417 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 1.054739387608354 y[1] (numeric) 1.0543027086196914 absolute error 0.00043667898866250887 relative error 0.04140160060322471% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8695707207751275 Order of pole (three term test) 1.5054580881465498 Radius of convergence (six term test) for eq 1 4.9562425185635 Order of pole (six term test) -0.7285849566862428 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 1.0603619328584681 y[1] (numeric) 1.0599199006465923 absolute error 0.0004420322118758868 relative error 0.041686918228409% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8795678498950963 Order of pole (three term test) 1.5054755541210891 Radius of convergence (six term test) for eq 1 4.973736725271308 Order of pole (six term test) -0.7285133630849181 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 1.0659951692160696 y[1] (numeric) 1.0655477906402566 absolute error 0.00044737857581300666 relative error 0.04196816165142735% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.8895649703125033 Order of pole (three term test) 1.5054930096756096 Radius of convergence (six term test) for eq 1 4.991232529713321 Order of pole (six term test) -0.7284417901482492 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 1.0716390830456284 y[1] (numeric) 1.0711863649248856 absolute error 0.00045271812074276774 relative error 0.04224539100012386% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.899562082036064 Order of pole (three term test) 1.5055104548118425 Radius of convergence (six term test) for eq 1 5.008730098169217 Order of pole (six term test) -0.7283702345334113 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 1.0772936607913959 y[1] (numeric) 1.0768356099048357 absolute error 0.00045805088656014625 relative error 0.042518665358492434% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.909559185073946 Order of pole (three term test) 1.5055278895357962 Radius of convergence (six term test) for eq 1 5.026229143912167 Order of pole (six term test) -0.728298702060119 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 1.0829588889767479 y[1] (numeric) 1.0824955120639175 absolute error 0.0004633769128303822 relative error 0.04278804279156079% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.919556279434925 Order of pole (three term test) 1.5055453138485486 Radius of convergence (six term test) for eq 1 5.04372961268278 Order of pole (six term test) -0.7282271938446332 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 1.0886347542034756 y[1] (numeric) 1.0881660579647017 absolute error 0.0004686962387738802 relative error 0.04305358036422533% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9295533651273535 Order of pole (three term test) 1.505562727755155 Radius of convergence (six term test) for eq 1 5.061232003651618 Order of pole (six term test) -0.7281556997276901 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 1.0943212431510876 y[1] (numeric) 1.093847234247834 absolute error 0.00047400890325355327 relative error 0.04331533415988976% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9395504421596983 Order of pole (three term test) 1.5055801312588615 Radius of convergence (six term test) for eq 1 5.078735780918276 Order of pole (six term test) -0.7280842306040238 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 1.1000183425761723 y[1] (numeric) 1.099539027631358 absolute error 0.00047931494481434633 relative error 0.04357335930342957% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.94954751054045 Order of pole (three term test) 1.5055975243633006 Radius of convergence (six term test) for eq 1 5.096241227591253 Order of pole (six term test) -0.7280127807344297 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 1.1057260393117048 y[1] (numeric) 1.105241424910046 absolute error 0.00048461440165881164 relative error 0.04382770997782377% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9595445702781267 Order of pole (three term test) 1.5056149070714508 Radius of convergence (six term test) for eq 1 5.113748235219478 Order of pole (six term test) -0.7279413523654483 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 1.111444320266397 y[1] (numeric) 1.110954412954739 absolute error 0.0004899073116579888 relative error 0.044078439443603006% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.969541621381083 Order of pole (three term test) 1.5056322793879138 Radius of convergence (six term test) for eq 1 5.131256938317638 Order of pole (six term test) -0.7278699426736477 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 1.1171731724240637 y[1] (numeric) 1.1166779787116932 absolute error 0.0004951937123705008 relative error 0.04432560005858537% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.979538663857904 Order of pole (three term test) 1.5056496413152216 Radius of convergence (six term test) for eq 1 5.148767235743504 Order of pole (six term test) -0.727798553817685 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 1.1229125828429556 y[1] (numeric) 1.122412109201934 absolute error 0.0005004736410216815 relative error 0.04456924329359616% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9895356977170153 Order of pole (three term test) 1.5056669928571151 Radius of convergence (six term test) for eq 1 5.166279266463849 Order of pole (six term test) -0.7277271829243599 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 1.1286625386551457 y[1] (numeric) 1.1281567915206192 absolute error 0.0005057471345264464 relative error 0.044809419751723825% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 2.9995327229668254 Order of pole (three term test) 1.5056843340176143 Radius of convergence (six term test) for eq 1 5.183792546404439 Order of pole (six term test) -0.7276558398566717 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 1.1344230270658944 y[1] (numeric) 1.1339120128364095 absolute error 0.0005110142294848519 relative error 0.04504617918472215% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.00952973961586 Order of pole (three term test) 1.5057016647995738 Radius of convergence (six term test) for eq 1 5.2013076269116825 Order of pole (six term test) -0.727584513395227 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 1.1401940353530353 y[1] (numeric) 1.1396777603908441 absolute error 0.0005162749621911988 relative error 0.045279570510237406% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0195267476724292 Order of pole (three term test) 1.5057189852076474 Radius of convergence (six term test) for eq 1 5.218824333033907 Order of pole (six term test) -0.7275132071386601 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 1.1459755508663516 y[1] (numeric) 1.145454021497727 absolute error 0.0005215293686247069 relative error 0.0455096418270384% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0295237471451246 Order of pole (three term test) 1.5057362952439899 Radius of convergence (six term test) for eq 1 5.236342689596387 Order of pole (six term test) -0.7274419205391638 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 1.1517675610269915 y[1] (numeric) 1.1512407835425171 absolute error 0.0005267774844743833 relative error 0.04573644043288335% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.039520738042279 Order of pole (three term test) 1.5057535949134684 Radius of convergence (six term test) for eq 1 5.2538626261715455 Order of pole (six term test) -0.7273706550823551 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 1.1575700533268467 y[1] (numeric) 1.157038033981729 absolute error 0.0005320193451177069 relative error 0.045960012837986584% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0495177203725095 Order of pole (three term test) 1.505770884217714 Radius of convergence (six term test) for eq 1 5.271383988239627 Order of pole (six term test) -0.7272994138650954 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 1.1633830153279838 y[1] (numeric) 1.1628457603423368 absolute error 0.000537254985647051 relative error 0.04618040478230523% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.059514694144051 Order of pole (three term test) 1.505788163162132 Radius of convergence (six term test) for eq 1 5.28890711814567 Order of pole (six term test) -0.7272281899652597 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 1.1692064346620459 y[1] (numeric) 1.1686639502211886 absolute error 0.0005424844408572493 relative error 0.04639766124910629% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0695116593653604 Order of pole (three term test) 1.5058054317496445 Radius of convergence (six term test) for eq 1 5.306431853968093 Order of pole (six term test) -0.7271569866852374 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 1.1750402990296855 y[1] (numeric) 1.1744925912844246 absolute error 0.0005477077452609169 relative error 0.046611826480606515% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.0795086160448206 Order of pole (three term test) 1.5058226899842806 Radius of convergence (six term test) for eq 1 5.323958137981048 Order of pole (six term test) -0.7270858051822504 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 1.1808845961999754 y[1] (numeric) 1.1803316712669043 absolute error 0.0005529249330711306 relative error 0.046822943990497794% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.089505564190986 Order of pole (three term test) 1.5058399378686775 Radius of convergence (six term test) for eq 1 5.341486090524379 Order of pole (six term test) -0.7270146430168847 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 1.1867393140098699 y[1] (numeric) 1.1861811779716382 absolute error 0.0005581360382316269 relative error 0.04703105658021413% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.099502503812247 Order of pole (three term test) 1.5058571754062708 Radius of convergence (six term test) for eq 1 5.359015688921148 Order of pole (six term test) -0.7269435006549738 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 1.1926044403636311 y[1] (numeric) 1.1920410992692279 absolute error 0.000563341094403258 relative error 0.04723620635115969% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1094994349170815 Order of pole (three term test) 1.5058744026004383 Radius of convergence (six term test) for eq 1 5.37654680473765 Order of pole (six term test) -0.7268723807256148 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 1.1984799632322929 y[1] (numeric) 1.197911423097311 absolute error 0.0005685401349819763 relative error 0.047438434719311216% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1194963575136003 Order of pole (three term test) 1.5058916194564123 Radius of convergence (six term test) for eq 1 5.394079605955786 Order of pole (six term test) -0.7268012798264536 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 1.2043658706530778 y[1] (numeric) 1.2037921374600133 absolute error 0.0005737331930644185 relative error 0.04763778242514517% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.129493271610509 Order of pole (three term test) 1.505908825975882 Radius of convergence (six term test) for eq 1 5.411613848703213 Order of pole (six term test) -0.7267302028912646 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 1.2102621507289086 y[1] (numeric) 1.2096832304274072 absolute error 0.0005789203015014177 relative error 0.04783428955063574% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1394901772159933 Order of pole (three term test) 1.5059260221637345 Radius of convergence (six term test) for eq 1 5.429150125113735 Order of pole (six term test) -0.7266591379236633 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 1.2161687916278527 y[1] (numeric) 1.215584690134975 absolute error 0.0005841014928777977 relative error 0.04802799552979588% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1494870743386603 Order of pole (three term test) 1.5059432080222155 Radius of convergence (six term test) for eq 1 5.446687636020766 Order of pole (six term test) -0.726588101150849 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 1.2220857815825727 y[1] (numeric) 1.2214965047830795 absolute error 0.0005892767994932768 relative error 0.048218939159097085% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.159483962986751 Order of pole (three term test) 1.50596038355551 Radius of convergence (six term test) for eq 1 5.4642267391039265 Order of pole (six term test) -0.7265170852720697 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 1.2280131088898543 y[1] (numeric) 1.2274186626364405 absolute error 0.0005944462534137607 relative error 0.0484071586134085% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1694808431687593 Order of pole (three term test) 1.5059775487667917 Radius of convergence (six term test) for eq 1 5.48176754599466 Order of pole (six term test) -0.7264460880934394 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 1.2339507619100463 y[1] (numeric) 1.233351152023616 absolute error 0.0005996098864302635 relative error 0.048592691454083674% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1794777148928923 Order of pole (three term test) 1.5059947036604815 Radius of convergence (six term test) for eq 1 5.499309883677507 Order of pole (six term test) -0.7263751130819678 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 1.2398987290665708 y[1] (numeric) 1.2392939613364908 absolute error 0.0006047677300800025 relative error 0.04877557464191353% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1894745781677 Order of pole (three term test) 1.5060118482390477 Radius of convergence (six term test) for eq 1 5.5168540217781015 Order of pole (six term test) -0.7263041548243869 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 1.2458569988454276 y[1] (numeric) 1.2452470790297692 absolute error 0.0006099198156583885 relative error 0.048955844549062946% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.1994714330016243 Order of pole (three term test) 1.5060289825055153 Radius of convergence (six term test) for eq 1 5.534399573042505 Order of pole (six term test) -0.7262332211255131 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 1.251825559794673 y[1] (numeric) 1.2512104936204742 absolute error 0.0006150661741988195 relative error 0.04913353696817821% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2094682794027416 Order of pole (three term test) 1.5060461064656525 Radius of convergence (six term test) for eq 1 5.551946947958847 Order of pole (six term test) -0.7261623037144851 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 1.2578044005239537 y[1] (numeric) 1.2571841936874524 absolute error 0.0006202068365013247 relative error 0.04930868712519768% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.219465117379709 Order of pole (three term test) 1.5060632201207158 Radius of convergence (six term test) for eq 1 5.56949587522467 Order of pole (six term test) -0.726091408074101 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 1.2637935097039943 y[1] (numeric) 1.2631681678708835 absolute error 0.000625341833110804 relative error 0.04948132968789115% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2294619469407815 Order of pole (three term test) 1.5060803234749924 Radius of convergence (six term test) for eq 1 5.58704644670961 Order of pole (six term test) -0.7260205323353617 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 1.269792876066136 y[1] (numeric) 1.269162404871796 absolute error 0.0006304711943398988 relative error 0.04965149877774723% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2394587680942784 Order of pole (three term test) 1.506097416532157 Radius of convergence (six term test) for eq 1 5.604598521256426 Order of pole (six term test) -0.7259496793707818 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 1.275802488401844 y[1] (numeric) 1.2751668934515876 absolute error 0.0006355949502563352 relative error 0.049819227978817014% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2494555808484593 Order of pole (three term test) 1.5061144992965727 Radius of convergence (six term test) for eq 1 5.622152196540126 Order of pole (six term test) -0.7258788472140303 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 1.2818223355622482 y[1] (numeric) 1.2811816224315513 absolute error 0.0006407131306969127 relative error 0.0499845503484596% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2594523852120894 Order of pole (three term test) 1.5061315717690922 Radius of convergence (six term test) for eq 1 5.639707580212704 Order of pole (six term test) -0.7258080336921768 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 1.287852406457663 y[1] (numeric) 1.2872065806924065 absolute error 0.0006458257652566246 relative error 0.05014749842592739% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.269449181192956 Order of pole (three term test) 1.5061486339563652 Radius of convergence (six term test) for eq 1 5.657264616268253 Order of pole (six term test) -0.7257372399334194 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 1.2938926900571524 y[1] (numeric) 1.2932417571738346 absolute error 0.0006509328833177452 relative error 0.0503081042438684% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2794459687998714 Order of pole (three term test) 1.5061656858594765 Radius of convergence (six term test) for eq 1 5.6748232085312305 Order of pole (six term test) -0.7256664679122213 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 1.299943175388032 y[1] (numeric) 1.2992871408740205 absolute error 0.0006560345140114165 relative error 0.050466399334385584% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.289442748041005 Order of pole (three term test) 1.5061827274826305 Radius of convergence (six term test) for eq 1 5.692383377623397 Order of pole (six term test) -0.7255957172111582 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 1.306003851535463 y[1] (numeric) 1.3053427208491988 absolute error 0.0006611306862642774 relative error 0.050622414741502406% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.2994395189246464 Order of pole (three term test) 1.506199758829726 Radius of convergence (six term test) for eq 1 5.709945216535874 Order of pole (six term test) -0.7255249858951469 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 1.3120747076419654 y[1] (numeric) 1.3114084862132043 absolute error 0.0006662214287611601 relative error 0.050776181026953866% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.309436281459169 Order of pole (three term test) 1.506216779904072 Radius of convergence (six term test) for eq 1 5.727508399161108 Order of pole (six term test) -0.7254542806193403 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 1.3181557329070017 y[1] (numeric) 1.317484426137028 absolute error 0.0006713067699737341 relative error 0.05092772828088105% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3194330356528443 Order of pole (three term test) 1.5062337907094534 Radius of convergence (six term test) for eq 1 5.745073666908264 Order of pole (six term test) -0.7253835864501621 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 1.3242469165865405 y[1] (numeric) 1.3235705298483773 absolute error 0.0006763867381631705 relative error 0.05107708613033181% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3294297815140395 Order of pole (three term test) 1.5062507912491945 Radius of convergence (six term test) for eq 1 5.7626404206377275 Order of pole (six term test) -0.7253129154034408 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 1.3303482479926014 y[1] (numeric) 1.3296667866312413 absolute error 0.0006814613613601583 relative error 0.051224283745886376% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3394265190512162 Order of pole (three term test) 1.5062677815257315 Radius of convergence (six term test) for eq 1 5.780208734338012 Order of pole (six term test) -0.7252422660397784 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 1.336459716492854 y[1] (numeric) 1.3357731858254607 absolute error 0.0006865306673933258 relative error 0.051369349851780335% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.349423248272479 Order of pole (three term test) 1.5062847615441024 Radius of convergence (six term test) for eq 1 5.797778511889138 Order of pole (six term test) -0.7251716403331532 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 1.3425813115101715 y[1] (numeric) 1.3418897168263018 absolute error 0.0006915946838697007 relative error 0.05151231273223791% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3594199691862836 Order of pole (three term test) 1.506301731306568 Radius of convergence (six term test) for eq 1 5.815350025254271 Order of pole (six term test) -0.7251010327372516 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 1.3487130225222277 y[1] (numeric) 1.3480163690840352 absolute error 0.0006966534381924738 relative error 0.05165320024045312% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.369416681800882 Order of pole (three term test) 1.5063186908172335 Radius of convergence (six term test) for eq 1 5.832923270604783 Order of pole (six term test) -0.7250304433392358 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 1.3548548390610815 y[1] (numeric) 1.3541531321035196 absolute error 0.0007017069575618873 relative error 0.05179203980613689% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.379413386124484 Order of pole (three term test) 1.5063356400800325 Radius of convergence (six term test) for eq 1 5.850498126785291 Order of pole (six term test) -0.7249598746467978 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 1.3610067507127468 y[1] (numeric) 1.3602999954437884 absolute error 0.0007067552689583589 relative error 0.051928858441608584% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.389410082165587 Order of pole (three term test) 1.5063525790974335 Radius of convergence (six term test) for eq 1 5.868074618266114 Order of pole (six term test) -0.7248893261148144 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 1.3671687471168124 y[1] (numeric) 1.3664569487176426 absolute error 0.000711798399169794 relative error 0.052063682751005515% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.3994067699324275 Order of pole (three term test) 1.5063695078731167 Radius of convergence (six term test) for eq 1 5.885652497251458 Order of pole (six term test) -0.7248188027947631 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 1.3733408179660316 y[1] (numeric) 1.372623981591246 absolute error 0.0007168363747855899 relative error 0.05219653893687155% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4094034494332206 Order of pole (three term test) 1.5063864264110782 Radius of convergence (six term test) for eq 1 5.903232247645205 Order of pole (six term test) -0.7247482948941162 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 1.379522953005921 y[1] (numeric) 1.3788010837837261 absolute error 0.0007218692221948597 relative error 0.05232745280692415% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.419400120676291 Order of pole (three term test) 1.5064033347147527 Radius of convergence (six term test) for eq 1 5.92081353350678 Order of pole (six term test) -0.7246778091831381 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 1.3857151420343552 y[1] (numeric) 1.3849882450667785 absolute error 0.0007268969675766623 relative error 0.05245644978011223% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4293967836701635 Order of pole (three term test) 1.5064202327857596 Radius of convergence (six term test) for eq 1 5.938396339071645 Order of pole (six term test) -0.7246073460319433 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 1.391917374901217 y[1] (numeric) 1.3911854552642753 absolute error 0.0007319196369417469 relative error 0.05258355489625887% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4393934384226332 Order of pole (three term test) 1.5064371206310392 Radius of convergence (six term test) for eq 1 5.955981019972264 Order of pole (six term test) -0.7245368982423717 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 1.3981296415079623 y[1] (numeric) 1.3973927042518772 absolute error 0.0007369372560850351 relative error 0.05270879281911271% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4493900849423396 Order of pole (three term test) 1.5064539982513485 Radius of convergence (six term test) for eq 1 5.973567190256492 Order of pole (six term test) -0.724466473616463 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 1.4043519318072626 y[1] (numeric) 1.4036099819566512 absolute error 0.0007419498506113786 relative error 0.05283218784457841% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.459386723237426 Order of pole (three term test) 1.5064708656513417 Radius of convergence (six term test) for eq 1 5.991154842802319 Order of pole (six term test) -0.7243960722971234 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 1.4105842358026432 y[1] (numeric) 1.4098372783566901 absolute error 0.0007469574459531003 relative error 0.05295376390819159% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4693833533163385 Order of pole (three term test) 1.5064877228333826 Radius of convergence (six term test) for eq 1 6.008744453488431 Order of pole (six term test) -0.7243256847193784 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 1.416826543548078 y[1] (numeric) 1.4160745834807371 absolute error 0.0007519600673409066 relative error 0.053073544589150326% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4793799751870083 Order of pole (three term test) 1.5065045698026929 Radius of convergence (six term test) for eq 1 6.026335344970406 Order of pole (six term test) -0.7242553244852346 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 1.423078845147641 y[1] (numeric) 1.422321887407814 absolute error 0.00075695773982698 relative error 0.053191553117947404% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4893765888580184 Order of pole (three term test) 1.5065214065610535 Radius of convergence (six term test) for eq 1 6.043928035245032 Order of pole (six term test) -0.7241849811990431 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 1.4293411307551356 y[1] (numeric) 1.4285791802668533 absolute error 0.0007619504882823147 relative error 0.05330781238204266% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.4993731943375543 Order of pole (three term test) 1.5065382331126083 Radius of convergence (six term test) for eq 1 6.061522554882759 Order of pole (six term test) -0.7241146542791128 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 1.4356133905737227 y[1] (numeric) 1.4348464522363331 absolute error 0.000766938337389611 relative error 0.0534223449311179% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5093697916337416 Order of pole (three term test) 1.5065550494609505 Radius of convergence (six term test) for eq 1 6.079118327613577 Order of pole (six term test) -0.7240443552998475 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 1.441895614855575 y[1] (numeric) 1.4411236935439178 absolute error 0.0007719213116572643 relative error 0.05353517298369636% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.519366380755004 Order of pole (three term test) 1.5065718556090157 Radius of convergence (six term test) for eq 1 6.0967160287523 Order of pole (six term test) -0.7239740706549487 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 1.4481877939015142 y[1] (numeric) 1.4474108944661 absolute error 0.0007768994354142578 relative error 0.05364631843231043% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5293629617094746 Order of pole (three term test) 1.5065886515609104 Radius of convergence (six term test) for eq 1 6.114315231907453 Order of pole (six term test) -0.7239038089555443 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 1.4544899180606627 y[1] (numeric) 1.453708045327847 absolute error 0.0007818727328157138 relative error 0.053755802849305416% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5393595345054774 Order of pole (three term test) 1.5066054373194184 Radius of convergence (six term test) for eq 1 6.131916026151156 Order of pole (six term test) -0.7238335684229433 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 1.460801977730089 y[1] (numeric) 1.4600151365022516 absolute error 0.0007868412278373427 relative error 0.05386364749177021% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5493560991512028 Order of pole (three term test) 1.5066222128882267 Radius of convergence (six term test) for eq 1 6.149518344532004 Order of pole (six term test) -0.723763350376446 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 1.4671239633544761 y[1] (numeric) 1.4663321584101852 absolute error 0.0007918049442909858 relative error 0.05396987330781369% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5593526556547634 Order of pole (three term test) 1.5066389782717982 Radius of convergence (six term test) for eq 1 6.16712266768649 Order of pole (six term test) -0.7236931452361404 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 1.4734558654257661 y[1] (numeric) 1.4726591015199548 absolute error 0.000796763905811293 relative error 0.05407450094075686% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.569349204024693 Order of pole (three term test) 1.5066557334716646 Radius of convergence (six term test) for eq 1 6.1847282968889985 Order of pole (six term test) -0.7236229669227221 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 1.4797976744828265 y[1] (numeric) 1.478995956346964 absolute error 0.0008017181358626058 relative error 0.05417755073461632% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.5793457442689043 Order of pole (three term test) 1.5066724784930996 Radius of convergence (six term test) for eq 1 6.202335532661647 Order of pole (six term test) -0.7235528095370949 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 1.486149381111126 y[1] (numeric) 1.4853427134533754 absolute error 0.0008066676577505039 relative error 0.054279042739794794% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.589342276395979 Order of pole (three term test) 1.506689213337626 Radius of convergence (six term test) for eq 1 6.219944676530305 Order of pole (six term test) -0.7234826669430472 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 1.4925109759423894 y[1] (numeric) 1.4916993634477795 absolute error 0.0008116124946098147 relative error 0.054378996717082954% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.599338800413722 Order of pole (three term test) 1.5067059380108832 Radius of convergence (six term test) for eq 1 6.237555254883273 Order of pole (six term test) -0.7234125486733767 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 1.498882449654264 y[1] (numeric) 1.498065896984864 absolute error 0.0008165526694001723 relative error 0.05447743214209496% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.609335316330724 Order of pole (three term test) 1.5067226525142003 Radius of convergence (six term test) for eq 1 6.25516758781286 Order of pole (six term test) -0.7233424483549786 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 1.5052637929700357 y[1] (numeric) 1.504442304765087 absolute error 0.0008214882049486505 relative error 0.05457436821274843% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.619331824155078 Order of pole (three term test) 1.5067393568520804 Radius of convergence (six term test) for eq 1 6.272781532186009 Order of pole (six term test) -0.7232723687974438 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 1.5116549966582369 y[1] (numeric) 1.5108285775343553 absolute error 0.0008264191238815943 relative error 0.05466982384925994% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.629328323894772 Order of pole (three term test) 1.506756051028697 Radius of convergence (six term test) for eq 1 6.290397122853634 Order of pole (six term test) -0.7232023093708246 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 1.5180560515324082 y[1] (numeric) 1.517224706083703 absolute error 0.000831345448705223 relative error 0.05476381770396539% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.63932481555831 Order of pole (three term test) 1.5067727350460152 Radius of convergence (six term test) for eq 1 6.3080142300551545 Order of pole (six term test) -0.7231322726114442 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 1.5244669484507156 y[1] (numeric) 1.5236306812489753 absolute error 0.0008362672017403483 relative error 0.05485636816135827% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6493212991538564 Order of pole (three term test) 1.506789408907869 Radius of convergence (six term test) for eq 1 6.325633047505211 Order of pole (six term test) -0.7230622546987036 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 1.530887678315672 y[1] (numeric) 1.530046493910514 absolute error 0.000841184405157902 relative error 0.05494749334473696% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6593177746893404 Order of pole (three term test) 1.5068060726188766 Radius of convergence (six term test) for eq 1 6.343253554545635 Order of pole (six term test) -0.722992256037136 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 1.5373182320738294 y[1] (numeric) 1.5364721349928474 absolute error 0.0008460970809820445 relative error 0.055037211120606215% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6693142421733302 Order of pole (three term test) 1.5068227261805363 Radius of convergence (six term test) for eq 1 6.360875621252407 Order of pole (six term test) -0.7229222792409509 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 1.5437586007154618 y[1] (numeric) 1.5429075954643823 absolute error 0.0008510052510795063 relative error 0.0551255391021047% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6793107016138227 Order of pole (three term test) 1.5068393695974136 Radius of convergence (six term test) for eq 1 6.378499362881265 Order of pole (six term test) -0.722852321976637 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 1.5502087752742657 y[1] (numeric) 1.5493528663370986 absolute error 0.000855908937167138 relative error 0.05521249465354814% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.6893071530190222 Order of pole (three term test) 1.5068560028728557 Radius of convergence (six term test) for eq 1 6.396124718624532 Order of pole (six term test) -0.7227823854954831 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 1.5566687468270537 y[1] (numeric) 1.5558079386662482 absolute error 0.0008608081608054707 relative error 0.055298094893987536% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.699303596397094 Order of pole (three term test) 1.5068726260104892 Radius of convergence (six term test) for eq 1 6.413751871180648 Order of pole (six term test) -0.7227124661871773 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 1.5631385064934662 y[1] (numeric) 1.5622728035500555 absolute error 0.0008657029434107066 relative error 0.05538235670188355% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.709300031756286 Order of pole (three term test) 1.5068892390129203 Radius of convergence (six term test) for eq 1 6.431380366174595 Order of pole (six term test) -0.7226425730435242 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 1.5696180454356679 y[1] (numeric) 1.5687474521294211 absolute error 0.0008705933062467253 relative error 0.05546529671841794% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7192964591046738 Order of pole (three term test) 1.5069058418845422 Radius of convergence (six term test) for eq 1 6.449010735808887 Order of pole (six term test) -0.722572695506102 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 1.5761073548580686 y[1] (numeric) 1.575231875587629 absolute error 0.0008754792704397385 relative error 0.055546931352184255% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7292928784504973 Order of pole (three term test) 1.5069224346283259 Radius of convergence (six term test) for eq 1 6.466642627018866 Order of pole (six term test) -0.722502840620507 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 1.582606426007029 y[1] (numeric) 1.5817260651500553 absolute error 0.0008803608569736276 relative error 0.055627276782567396% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.73928928980192 Order of pole (three term test) 1.5069390172475918 Radius of convergence (six term test) for eq 1 6.4842761896825145 Order of pole (six term test) -0.7224330053759882 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 1.5891152501705506 y[1] (numeric) 1.5882300120838813 absolute error 0.0008852380866692933 relative error 0.05570634896205834% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.749285693167244 Order of pole (three term test) 1.506955589745094 Radius of convergence (six term test) for eq 1 6.501911438310579 Order of pole (six term test) -0.7223631895549456 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 1.5956338186780368 y[1] (numeric) 1.5947437076978073 absolute error 0.0008901109802295082 relative error 0.05578416362263833% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.759282088554301 Order of pole (three term test) 1.5069721521260673 Radius of convergence (six term test) for eq 1 6.519548380338636 Order of pole (six term test) -0.7222933929744126 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 1.6021621228999745 y[1] (numeric) 1.6012671433417711 absolute error 0.0008949795582033904 relative error 0.05586073627701567% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7692784759714675 Order of pole (three term test) 1.5069887043926824 Radius of convergence (six term test) for eq 1 6.5371867345996275 Order of pole (six term test) -0.7222236211680926 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 1.6087001542476678 y[1] (numeric) 1.607800310406668 absolute error 0.0008998438409997256 relative error 0.0559360822228895% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.7792748554269653 Order of pole (three term test) 1.507005246548191 Radius of convergence (six term test) for eq 1 6.554827048433014 Order of pole (six term test) -0.7221538633923164 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 1.6152479041729713 y[1] (numeric) 1.6143432003240736 absolute error 0.0009047038488976256 relative error 0.0560102165469669% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.789271226928833 Order of pole (three term test) 1.5070217785960665 Radius of convergence (six term test) for eq 1 6.572468746091438 Order of pole (six term test) -0.7220841310045536 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 1.621805364167999 y[1] (numeric) 1.620895804565969 absolute error 0.0009095596020300967 relative error 0.05608315412723456% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.799267590485167 Order of pole (three term test) 1.5070383005407286 Radius of convergence (six term test) for eq 1 6.590112182551319 Order of pole (six term test) -0.7220144169551759 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 1.6283725257648776 y[1] (numeric) 1.627458114644469 absolute error 0.0009144111204084648 relative error 0.056154909637703976% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.809263946104381 Order of pole (three term test) 1.5070548123836094 Radius of convergence (six term test) for eq 1 6.607757321428616 Order of pole (six term test) -0.7219447220055351 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 1.6349493805354474 y[1] (numeric) 1.6340301221115536 absolute error 0.0009192584238937318 relative error 0.056225497549818565% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.819260293794254 Order of pole (three term test) 1.5070713141301815 Radius of convergence (six term test) for eq 1 6.62540406193441 Order of pole (six term test) -0.7218750481775729 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 1.6415359200910178 y[1] (numeric) 1.640611818558799 absolute error 0.0009241015322187796 relative error 0.05629493213694289% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.829256633563058 Order of pole (three term test) 1.507087805783135 Radius of convergence (six term test) for eq 1 6.6430523511753705 Order of pole (six term test) -0.7218053964779703 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 1.6481321360821095 y[1] (numeric) 1.6472031956171151 absolute error 0.0009289404649943656 relative error 0.0563632274777807% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.839252965419024 Order of pole (three term test) 1.5071042873453968 Radius of convergence (six term test) for eq 1 6.660702350583396 Order of pole (six term test) -0.7217357637369659 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 1.6547380201981792 y[1] (numeric) 1.6538042449564825 absolute error 0.0009337752416966882 relative error 0.056430397458617346% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8492492893701646 Order of pole (three term test) 1.5071207588207411 Radius of convergence (six term test) for eq 1 6.678354111595545 Order of pole (six term test) -0.7216661489537781 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 1.6613535641673494 y[1] (numeric) 1.6604149582856929 absolute error 0.0009386058816565068 relative error 0.05649645577562082% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.859245605424766 Order of pole (three term test) 1.5071372202119528 Radius of convergence (six term test) for eq 1 6.696007579653606 Order of pole (six term test) -0.7215965531789816 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 1.6679787597561955 y[1] (numeric) 1.667035327352092 absolute error 0.0009434324041035502 relative error 0.05656141594041938% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.869241913590723 Order of pole (three term test) 1.5071536715235736 Radius of convergence (six term test) for eq 1 6.713662415416809 Order of pole (six term test) -0.7215269832119535 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 1.6746135987694455 y[1] (numeric) 1.6736653439413247 absolute error 0.0009482548281207759 relative error 0.056625291280184335% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8792382138761994 Order of pole (three term test) 1.5071701127585364 Radius of convergence (six term test) for eq 1 6.731319181718111 Order of pole (six term test) -0.7214574278332009 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 1.6812580730497562 y[1] (numeric) 1.6803049998770825 absolute error 0.0009530731726736796 relative error 0.05668809494218999% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.889234506289433 Order of pole (three term test) 1.5071865439199703 Radius of convergence (six term test) for eq 1 6.748977390562553 Order of pole (six term test) -0.7213878967061085 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 1.6879121744774483 y[1] (numeric) 1.6869542870208531 absolute error 0.0009578874565951967 relative error 0.05674983989565357% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.8992307908385477 Order of pole (three term test) 1.5072029650109413 Radius of convergence (six term test) for eq 1 6.766637284254825 Order of pole (six term test) -0.7213183851432206 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 1.6945758949702867 y[1] (numeric) 1.693613197271673 absolute error 0.0009626976986136793 relative error 0.056810538936089346% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.90922706753151 Order of pole (three term test) 1.5072193760355446 Radius of convergence (six term test) for eq 1 6.784298879023258 Order of pole (six term test) -0.7212488927321807 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 1.701249226483192 y[1] (numeric) 1.7002817225658806 absolute error 0.0009675039173113742 relative error 0.056870204685493975% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.919223336376578 Order of pole (three term test) 1.5072357769963607 Radius of convergence (six term test) for eq 1 6.801962190370209 Order of pole (six term test) -0.7211794191930636 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 1.7079321610080385 y[1] (numeric) 1.7069598548768738 absolute error 0.0009723061311646131 relative error 0.05692884959732525% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9292195973815787 Order of pole (three term test) 1.5072521678983177 Radius of convergence (six term test) for eq 1 6.819627073954075 Order of pole (six term test) -0.7211099673991086 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 1.714624690573391 y[1] (numeric) 1.7136475862148681 absolute error 0.00097710435852294 relative error 0.05698648595782116% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.939215850554761 Order of pole (three term test) 1.5072685487437896 Radius of convergence (six term test) for eq 1 6.837293625495745 Order of pole (six term test) -0.721040535471257 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 1.721326807244285 y[1] (numeric) 1.7203449086266578 absolute error 0.0009818986176273192 relative error 0.05704312588957266% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.949212095904381 Order of pole (three term test) 1.5072849195356346 Radius of convergence (six term test) for eq 1 6.854961826102641 Order of pole (six term test) -0.720971123793781 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 1.7280385031219545 y[1] (numeric) 1.7270518141953786 absolute error 0.0009866889265759404 relative error 0.0570987813519978% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9592083334381862 Order of pole (three term test) 1.5073012802785695 Radius of convergence (six term test) for eq 1 6.872631692091504 Order of pole (six term test) -0.7209017320070821 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 1.7347597703436595 y[1] (numeric) 1.733768295040273 absolute error 0.000991475303386391 relative error 0.0571534641473717% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.96920456316469 Order of pole (three term test) 1.5073176309741676 Radius of convergence (six term test) for eq 1 6.89030323835786 Order of pole (six term test) -0.7208323598640032 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 1.7414906010823845 y[1] (numeric) 1.740494343316458 absolute error 0.0009962577659266003 relative error 0.057207185919200404% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.979200785091702 Order of pole (three term test) 1.5073339716268286 Radius of convergence (six term test) for eq 1 6.907976443886505 Order of pole (six term test) -0.7207630077592384 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 1.7482309875466608 y[1] (numeric) 1.747229951214693 absolute error 0.0010010363319679083 relative error 0.0572599581576282% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.9891969992272087 Order of pole (three term test) 1.5073503022405352 Radius of convergence (six term test) for eq 1 6.9256511757772605 Order of pole (six term test) -0.7206936783597531 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 1.7549809219803194 y[1] (numeric) 1.7539751109611526 absolute error 0.0010058110191668579 relative error 0.0573117922006754% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 3.999193205579501 Order of pole (three term test) 1.5073666228177296 Radius of convergence (six term test) for eq 1 6.94332774388422 Order of pole (six term test) -0.7206243655202655 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 1.76174039666226 y[1] (numeric) 1.7607298148171993 absolute error 0.001010581845060754 relative error 0.057362699236242286% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.009189404156593 Order of pole (three term test) 1.5073829333617323 Radius of convergence (six term test) for eq 1 6.9610058890003454 Order of pole (six term test) -0.7205550743833626 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 1.7685094039062363 y[1] (numeric) 1.767494055079159 absolute error 0.0010153488270774336 relative error 0.05741269030488377% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.019185594966368 Order of pole (three term test) 1.507399233877065 Radius of convergence (six term test) for eq 1 6.9786856759898415 Order of pole (six term test) -0.7204858036513659 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 1.775287936060634 y[1] (numeric) 1.774267824078098 absolute error 0.0010201119825359317 relative error 0.05746177630202126% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.029181778017276 Order of pole (three term test) 1.5074155243649943 Radius of convergence (six term test) for eq 1 6.996367155764532 Order of pole (six term test) -0.7204165523419075 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 1.78207598550825 y[1] (numeric) 1.7810511141796033 absolute error 0.0010248713286467037 relative error 0.05750996798009201% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.039177953316982 Order of pole (three term test) 1.507431804831075 Radius of convergence (six term test) for eq 1 7.014050259718413 Order of pole (six term test) -0.7203473218537884 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 1.788873544666071 y[1] (numeric) 1.7878439177835626 absolute error 0.0010296268825085164 relative error 0.057557275950476244% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.049174120873661 Order of pole (three term test) 1.5074480752777175 Radius of convergence (six term test) for eq 1 7.0317351233115994 Order of pole (six term test) -0.7202781094467543 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 1.795680605985055 y[1] (numeric) 1.794646227323948 absolute error 0.001034378661106894 relative error 0.05760371068547938% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.059170280695436 Order of pole (three term test) 1.5074643357082291 Radius of convergence (six term test) for eq 1 7.049421475783459 Order of pole (six term test) -0.7202089204964945 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 1.802497161949928 y[1] (numeric) 1.801458035268602 absolute error 0.001039126681325886 relative error 0.05764928252102025% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.0691664327903325 Order of pole (three term test) 1.507480586125931 Radius of convergence (six term test) for eq 1 7.067109574366277 Order of pole (six term test) -0.7201397499592019 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 1.8093232050789823 y[1] (numeric) 1.8082793341190226 absolute error 0.001043870959959614 relative error 0.05769400165925834% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.07916257716622 Order of pole (three term test) 1.507496826535192 Radius of convergence (six term test) for eq 1 7.084799476732867 Order of pole (six term test) -0.7200705966746099 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 1.8161587279238116 y[1] (numeric) 1.8151101164101535 absolute error 0.0010486115136580931 relative error 0.05773787816755643% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.089158713831431 Order of pole (three term test) 1.5075130569378212 Radius of convergence (six term test) for eq 1 7.102490847737141 Order of pole (six term test) -0.7200014672758144 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.823003723069176 y[1] (numeric) 1.8219503747101742 absolute error 0.0010533483590018378 relative error 0.05778092198453877% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.099154842793742 Order of pole (three term test) 1.5075292773381577 Radius of convergence (six term test) for eq 1 7.120183919443004 Order of pole (six term test) -0.7199323572001859 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.8298581831327514 y[1] (numeric) 1.8288001016202924 absolute error 0.0010580815124590082 relative error 0.05782314291960882% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.109150964061375 Order of pole (three term test) 1.5075454877391128 Radius of convergence (six term test) for eq 1 7.137878824960524 Order of pole (six term test) -0.7198632637998816 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.8367221007649217 y[1] (numeric) 1.8356592897745385 absolute error 0.0010628109903831895 relative error 0.05786455065470007% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.119147077642469 Order of pole (three term test) 1.5075616881432516 Radius of convergence (six term test) for eq 1 7.155575124256682 Order of pole (six term test) -0.7197941957761049 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.8435954686486067 y[1] (numeric) 1.8425279318395613 absolute error 0.0010675368090453663 relative error 0.057905154747852176% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.129143183544659 Order of pole (three term test) 1.507577878555842 Radius of convergence (six term test) for eq 1 7.173273382893706 Order of pole (six term test) -0.7197251419814208 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.850478279499022 y[1] (numeric) 1.849406020514426 absolute error 0.001072258984595953 relative error 0.05794496463294043% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.139139281776142 Order of pole (three term test) 1.5075940589793828 Radius of convergence (six term test) for eq 1 7.190972987351073 Order of pole (six term test) -0.7196561145167717 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.8573705260635194 y[1] (numeric) 1.8562935485304133 absolute error 0.0010769775331060938 relative error 0.05798398962368711% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.149135372344995 Order of pole (three term test) 1.5076102294170795 Radius of convergence (six term test) for eq 1 7.208674362090972 Order of pole (six term test) -0.7195871050252212 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.8642722011213486 y[1] (numeric) 1.863190508650821 absolute error 0.0010816924705276953 relative error 0.058022238913237226% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.1591314552592324 Order of pole (three term test) 1.5076263898719686 Radius of convergence (six term test) for eq 1 7.226377470707212 Order of pole (six term test) -0.7195181142250888 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.8711832974834977 y[1] (numeric) 1.8700968936707663 absolute error 0.0010864038127313957 relative error 0.0580597215779165% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.169127530526885 Order of pole (three term test) 1.5076425403476748 Radius of convergence (six term test) for eq 1 7.2440821796866 Order of pole (six term test) -0.7194491447737263 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.8781038079924723 y[1] (numeric) 1.8770126964169913 absolute error 0.0010911115754810297 relative error 0.05809644657753673% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.179123598155809 Order of pole (three term test) 1.50765868084776 Radius of convergence (six term test) for eq 1 7.261788639631552 Order of pole (six term test) -0.7193801936883943 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.8850337255221117 y[1] (numeric) 1.8839379097476685 absolute error 0.0010958157744431762 relative error 0.058132422757564195% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.189119658154153 Order of pole (three term test) 1.5076748113754088 Radius of convergence (six term test) for eq 1 7.279496754438574 Order of pole (six term test) -0.7193112628666078 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.8919730429774084 y[1] (numeric) 1.8908725265522086 absolute error 0.0011005164251998156 relative error 0.05816765885141402% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.199115710529861 Order of pole (three term test) 1.5076909319339666 Radius of convergence (six term test) for eq 1 7.297206613587905 Order of pole (six term test) -0.7192423505815775 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.8989217532942906 y[1] (numeric) 1.8978165397510707 absolute error 0.0011052135432199073 relative error 0.05820216348054146% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.209111755290941 Order of pole (three term test) 1.5077070425266357 Radius of convergence (six term test) for eq 1 7.314918023233514 Order of pole (six term test) -0.7191734605942859 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.9058798494394704 y[1] (numeric) 1.9047699422955724 absolute error 0.0011099071438980257 relative error 0.05823594515805681% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.219107792445414 Order of pole (three term test) 1.507723143156738 Radius of convergence (six term test) for eq 1 7.332630978331689 Order of pole (six term test) -0.7191045930816102 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.9128473244102189 y[1] (numeric) 1.9117327271677034 absolute error 0.0011145972425155026 relative error 0.05826901228822129% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.22910382200124 Order of pole (three term test) 1.5077392338275766 Radius of convergence (six term test) for eq 1 7.350345848109725 Order of pole (six term test) -0.719035740762564 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.9198241712342163 y[1] (numeric) 1.918704887379939 absolute error 0.0011192838542772865 relative error 0.05830137316990448% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.239099843966183 Order of pole (three term test) 1.5077553145438891 Radius of convergence (six term test) for eq 1 7.368062410360145 Order of pole (six term test) -0.7189669079906551 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.9268103829693537 y[1] (numeric) 1.9256864159750566 absolute error 0.0011239669942970654 relative error 0.05833303599729161% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.249095858348693 Order of pole (three term test) 1.5077713853063694 Radius of convergence (six term test) for eq 1 7.385780516542223 Order of pole (six term test) -0.7188980977305093 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.9338059527035334 y[1] (numeric) 1.9326773060259523 absolute error 0.0011286466775810577 relative error 0.05836400886051505% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.259091865156467 Order of pole (three term test) 1.5077874461198806 Radius of convergence (six term test) for eq 1 7.403500377405666 Order of pole (six term test) -0.7188293057971897 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.9408108735545238 y[1] (numeric) 1.9396775506354604 absolute error 0.0011333229190633176 relative error 0.058394299748933204% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.269087864397301 Order of pole (three term test) 1.5078034969885559 Radius of convergence (six term test) for eq 1 7.421221748587148 Order of pole (six term test) -0.7187605370379089 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.9478251386697512 y[1] (numeric) 1.9466871429361732 absolute error 0.001137995733577979 relative error 0.05842391655111107% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.279083856079623 Order of pole (three term test) 1.5078195379136707 Radius of convergence (six term test) for eq 1 7.438945009181895 Order of pole (six term test) -0.7186917840084046 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.954848741226133 y[1] (numeric) 1.9537060760902636 absolute error 0.0011426651358694695 relative error 0.05845286705675037% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.289079840210809 Order of pole (three term test) 1.5078355689010834 Radius of convergence (six term test) for eq 1 7.45666963313759 Order of pole (six term test) -0.7186230570101912 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.9618816744299146 y[1] (numeric) 1.9607343432893074 absolute error 0.0011473311406071662 relative error 0.05848115895881227% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.299075816799357 Order of pole (three term test) 1.507851589951916 Radius of convergence (six term test) for eq 1 7.474396413883369 Order of pole (six term test) -0.7185543405468842 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.9689239315164642 y[1] (numeric) 1.9677719377541092 absolute error 0.0011519937623549747 relative error 0.05850879985331428% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.3090717858530345 Order of pole (three term test) 1.5078676010701104 Radius of convergence (six term test) for eq 1 7.492124419245696 Order of pole (six term test) -0.7184856528412968 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.975975505750128 y[1] (numeric) 1.9748188527345278 absolute error 0.0011566530156001953 relative error 0.05853579724213746% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.319067747379807 Order of pole (three term test) 1.5078836022589552 Radius of convergence (six term test) for eq 1 7.509854350057201 Order of pole (six term test) -0.7184169802089855 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.9830363904240507 y[1] (numeric) 1.9818750815093042 absolute error 0.0011613089147464173 relative error 0.05856215853396841% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.329063701387503 Order of pole (three term test) 1.5078995935225468 Radius of convergence (six term test) for eq 1 7.5275860183426815 Order of pole (six term test) -0.7183483262984307 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.9901065788600025 y[1] (numeric) 1.9889406173858906 absolute error 0.001165961474111965 relative error 0.058587891045507% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.3390596478842784 Order of pole (three term test) 1.507915574863071 Radius of convergence (six term test) for eq 1 7.5453190243658 Order of pole (six term test) -0.718279698970484 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.9971860644082042 y[1] (numeric) 1.9960154537002808 absolute error 0.0011706107079234584 relative error 0.058613002002411214% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.349055586877879 Order of pole (three term test) 1.507931546284835 Radius of convergence (six term test) for eq 1 7.563053897063757 Order of pole (six term test) -0.7182110878723584 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 2.0042748404471666 y[1] (numeric) 2.003099583816842 absolute error 0.0011752566303244727 relative error 0.058637498540981804% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.359051518376425 Order of pole (three term test) 1.5079475077902693 Radius of convergence (six term test) for eq 1 7.580790663238962 Order of pole (six term test) -0.7181424924910971 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 2.011372900383538 y[1] (numeric) 2.010193001128149 absolute error 0.001179899255389305 relative error 0.05866138771007188% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.369047442387738 Order of pole (three term test) 1.5079634593833218 Radius of convergence (six term test) for eq 1 7.598528813351582 Order of pole (six term test) -0.7180739227902553 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 2.0184802376519144 y[1] (numeric) 2.017295699054816 absolute error 0.001184538597098328 relative error 0.05868467647106094% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.379043358919689 Order of pole (three term test) 1.507979401067486 Radius of convergence (six term test) for eq 1 7.616268723895989 Order of pole (six term test) -0.7180053714253507 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 2.025596845714677 y[1] (numeric) 2.0244076710453367 absolute error 0.0011891746693404315 relative error 0.05870737169917261% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.389039267980299 Order of pole (three term test) 1.5079953328456888 Radius of convergence (six term test) for eq 1 7.634010340561287 Order of pole (six term test) -0.7179368394589538 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 2.032722718061864 y[1] (numeric) 2.031528910575918 absolute error 0.0011938074859458858 relative error 0.05872948018626677% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.399035169577658 Order of pole (three term test) 1.5080112547203905 Radius of convergence (six term test) for eq 1 7.65175374038186 Order of pole (six term test) -0.7178683253748925 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 2.0398578482109677 y[1] (numeric) 2.0386594111503196 absolute error 0.0011984370606481498 relative error 0.05875100864009834% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4090310637194055 Order of pole (three term test) 1.5080271666964018 Radius of convergence (six term test) for eq 1 7.669498720368382 Order of pole (six term test) -0.7177998331806812 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 2.047002229706804 y[1] (numeric) 2.0457991662996946 absolute error 0.001203063407109184 relative error 0.05877196368669814% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.419026950413548 Order of pole (three term test) 1.5080430687765354 Radius of convergence (six term test) for eq 1 7.687245348448 Order of pole (six term test) -0.717731361542084 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 2.0541558561213336 y[1] (numeric) 2.0529481695824296 absolute error 0.001207686538903907 relative error 0.05879235187072252% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.429022829668096 Order of pole (three term test) 1.508058960963576 Radius of convergence (six term test) for eq 1 7.704993746029859 Order of pole (six term test) -0.7176629080775712 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 2.0613187210535227 y[1] (numeric) 2.060106414583988 absolute error 0.0012123064695348518 relative error 0.05881217965726582% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4390187014908875 Order of pole (three term test) 1.5080748432613174 Radius of convergence (six term test) for eq 1 7.722743751818738 Order of pole (six term test) -0.7175944759586592 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 2.068490818129181 y[1] (numeric) 2.067273894916753 absolute error 0.001216923212428167 relative error 0.05883145343273977% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.4490145658898435 Order of pole (three term test) 1.5080907156729133 Radius of convergence (six term test) for eq 1 7.740495649050177 Order of pole (six term test) -0.7175260596770716 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 2.0756721410008083 y[1] (numeric) 2.0744506042198725 absolute error 0.001221536780935839 relative error 0.05885017950603998% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.459010422872766 Order of pole (three term test) 1.5081065782018888 Radius of convergence (six term test) for eq 1 7.758248947305081 Order of pole (six term test) -0.7174576687893044 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 2.0828626833474164 y[1] (numeric) 2.0816365361591065 absolute error 0.001226147188309934 relative error 0.058868364108351334% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.469006272447768 Order of pole (three term test) 1.5081224308512065 Radius of convergence (six term test) for eq 1 7.776004063664612 Order of pole (six term test) -0.7173892951855692 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 2.0900624388744315 y[1] (numeric) 2.0888316844266726 absolute error 0.0012307544477589971 relative error 0.058886013396891604% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.479002114622525 Order of pole (three term test) 1.508138273624604 Radius of convergence (six term test) for eq 1 7.793760901762972 Order of pole (six term test) -0.7173209407074079 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 2.09727140131349 y[1] (numeric) 2.0960360427410953 absolute error 0.0012353585723947624 relative error 0.05890313345335638% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.488997949405156 Order of pole (three term test) 1.5081541065244077 Radius of convergence (six term test) for eq 1 7.811519286812374 Order of pole (six term test) -0.7172526088115774 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 2.104489564422325 y[1] (numeric) 2.1032496048470564 absolute error 0.0012399595752685677 relative error 0.05891973028666133% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.49899377680338 Order of pole (three term test) 1.5081699295549227 Radius of convergence (six term test) for eq 1 7.82927948537789 Order of pole (six term test) -0.7171842942868984 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 2.111716921984579 y[1] (numeric) 2.1104723645152457 absolute error 0.001244557469333163 relative error 0.05893580983210265% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.508989596825205 Order of pole (three term test) 1.5081857427186849 Radius of convergence (six term test) for eq 1 7.847041401821155 Order of pole (six term test) -0.7171159990422993 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 2.1189534678097104 y[1] (numeric) 2.117704315542212 absolute error 0.0012491522674982214 relative error 0.0589513779549594% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.518985409478274 Order of pole (three term test) 1.5082015460201308 Radius of convergence (six term test) for eq 1 7.864804860351775 Order of pole (six term test) -0.7170477264661592 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 2.1261991957328057 y[1] (numeric) 2.1249454517502184 absolute error 0.0012537439825872632 relative error 0.058966440449393254% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.528981214770663 Order of pole (three term test) 1.508217339461702 Radius of convergence (six term test) for eq 1 7.882570170183636 Order of pole (six term test) -0.7169794705327845 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 2.133454099614431 y[1] (numeric) 2.1321957669870946 absolute error 0.0012583326273363227 relative error 0.05898100303933116% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.538977012710497 Order of pole (three term test) 1.508233123045548 Radius of convergence (six term test) for eq 1 7.900336964434038 Order of pole (six term test) -0.7169112384367811 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 2.1407181733405256 y[1] (numeric) 2.1394552551260944 absolute error 0.0012629182144312523 relative error 0.058995071381138735% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.54897280330521 Order of pole (three term test) 1.508248896777153 Radius of convergence (six term test) for eq 1 7.918105776147481 Order of pole (six term test) -0.7168430198190272 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 2.147991410822234 y[1] (numeric) 2.146723910065751 absolute error 0.0012675007564832974 relative error 0.05900865106337218% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.5589685865625755 Order of pole (three term test) 1.5082646606597925 Radius of convergence (six term test) for eq 1 7.935876012812159 Order of pole (six term test) -0.7167748261416289 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 2.1552738059957584 y[1] (numeric) 2.154001725729736 absolute error 0.001272080266022435 relative error 0.05902174760736356% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.568964362491121 Order of pole (three term test) 1.5082804146939646 Radius of convergence (six term test) for eq 1 7.953648063514901 Order of pole (six term test) -0.7167066499105736 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 2.1625653528222273 y[1] (numeric) 2.1612886960667166 absolute error 0.0012766567555106967 relative error 0.05903436646872256% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.578960131098102 Order of pole (three term test) 1.508296158885962 Radius of convergence (six term test) for eq 1 7.971421919496667 Order of pole (six term test) -0.7166384912899222 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 2.1698660452875664 y[1] (numeric) 2.1685848150502176 absolute error 0.0012812302373488293 relative error 0.05904651303850563% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.588955892391527 Order of pole (three term test) 1.5083118932376987 Radius of convergence (six term test) for eq 1 7.989197137753365 Order of pole (six term test) -0.7165703588648338 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 2.177175877402341 y[1] (numeric) 2.1758900766784817 absolute error 0.0012858007238594205 relative error 0.059058192643285705% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.598951646379389 Order of pole (three term test) 1.5083276177523828 Radius of convergence (six term test) for eq 1 8.006974310142294 Order of pole (six term test) -0.7165022411856015 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 2.1844948432016373 y[1] (numeric) 2.183204474974331 absolute error 0.0012903682273064376 relative error 0.05906941054689099% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.608947393069535 Order of pole (three term test) 1.5083433324332745 Radius of convergence (six term test) for eq 1 8.024753281903102 Order of pole (six term test) -0.7164341412688966 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 2.1918229367449094 y[1] (numeric) 2.190528003985031 absolute error 0.0012949327598783533 relative error 0.05908017195045264% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.618943132469732 Order of pole (three term test) 1.5083590372838198 Radius of convergence (six term test) for eq 1 8.042533694438255 Order of pole (six term test) -0.7163660660124034 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 2.1991601521158444 y[1] (numeric) 2.1978606577821553 absolute error 0.001299494333689033 relative error 0.059090481993263215% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.628938864587628 Order of pole (three term test) 1.5083747323082242 Radius of convergence (six term test) for eq 1 8.060315765450179 Order of pole (six term test) -0.7162980112695543 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 2.2065064834222508 y[1] (numeric) 2.2052024304614495 absolute error 0.0013040529608012719 relative error 0.05910034575464786% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.638934589431361 Order of pole (three term test) 1.5083904175084752 Radius of convergence (six term test) for eq 1 8.078099756748102 Order of pole (six term test) -0.7162299719372776 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 2.2138619247959053 y[1] (numeric) 2.212553316142699 absolute error 0.0013086086532063668 relative error 0.05910976825381767% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.64893030700876 Order of pole (three term test) 1.508406092887702 Radius of convergence (six term test) for eq 1 8.095885201905975 Order of pole (six term test) -0.7161619570716535 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 2.221226470392409 y[1] (numeric) 2.2199133089695953 absolute error 0.0013131614228139021 relative error 0.05911875445018962% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.658926017327383 Order of pole (three term test) 1.50842175845083 Radius of convergence (six term test) for eq 1 8.113672639530437 Order of pole (six term test) -0.7160939562485567 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 2.228600114391096 y[1] (numeric) 2.2272824031096055 absolute error 0.0013177112814903857 relative error 0.059127309245894676% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.668921720395371 Order of pole (three term test) 1.5084374141993222 Radius of convergence (six term test) for eq 1 8.131461655543145 Order of pole (six term test) -0.7160259775020759 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 2.235982850994862 y[1] (numeric) 2.2346605927538405 absolute error 0.0013222582410215011 relative error 0.0591354374848262% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.678917416220354 Order of pole (three term test) 1.508453060137318 Radius of convergence (six term test) for eq 1 8.149252455096983 Order of pole (six term test) -0.715958016854433 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 2.2433746744300755 y[1] (numeric) 2.242047872116926 absolute error 0.001326802313149411 relative error 0.059143143955054336% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.688913104810323 Order of pole (three term test) 1.5084686962675917 Radius of convergence (six term test) for eq 1 8.167044729170339 Order of pole (six term test) -0.7158900802889967 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 2.2507755789463886 y[1] (numeric) 2.249444235436875 absolute error 0.0013313435095136938 relative error 0.05915043338691766% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.698908786172849 Order of pole (three term test) 1.508484322594351 Radius of convergence (six term test) for eq 1 8.184838836928575 Order of pole (six term test) -0.7158221609030697 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 2.2581855588166935 y[1] (numeric) 2.256849676974957 absolute error 0.001335881841736608 relative error 0.05915731045754364% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.708904460315743 Order of pole (three term test) 1.5084999391209275 Radius of convergence (six term test) for eq 1 8.202634743370938 Order of pole (six term test) -0.715754259310053 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 2.265604608336915 y[1] (numeric) 2.2642641910155743 absolute error 0.0013404173213404924 relative error 0.059163779787879074% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.718900127247287 Order of pole (three term test) 1.5085155458483135 Radius of convergence (six term test) for eq 1 8.220432126159267 Order of pole (six term test) -0.7156863818042609 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 2.273032721825931 y[1] (numeric) 2.2716877718661355 absolute error 0.001344949959795727 relative error 0.05916984594552279% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.728895786974949 Order of pole (three term test) 1.5085311427816532 Radius of convergence (six term test) for eq 1 8.238231468337029 Order of pole (six term test) -0.7156185190318549 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 2.2804698936254564 y[1] (numeric) 2.2791204138569303 absolute error 0.0013494797685260629 relative error 0.05917551344563819% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.738891439506358 Order of pole (three term test) 1.5085467299245254 Radius of convergence (six term test) for eq 1 8.256032355151453 Order of pole (six term test) -0.71555067902354 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 2.2879161180998757 y[1] (numeric) 2.2865621113410053 absolute error 0.0013540067588704296 relative error 0.05918078674995035% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.748887084849592 Order of pole (three term test) 1.5085623072792644 Radius of convergence (six term test) for eq 1 8.273835032553935 Order of pole (six term test) -0.7154828570405041 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 2.2953713896361716 y[1] (numeric) 2.294012858694041 absolute error 0.0013585309421304537 relative error 0.05918567026949778% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.758882723012358 Order of pole (three term test) 1.5085778748493663 Radius of convergence (six term test) for eq 1 8.291639412552282 Order of pole (six term test) -0.7154150547785019 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 2.302835702643751 y[1] (numeric) 2.301472650314232 absolute error 0.0013630523295189434 relative error 0.05919016836303617% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.768878354002486 Order of pole (three term test) 1.5085934326381 Radius of convergence (six term test) for eq 1 8.309445512213134 Order of pole (six term test) -0.7153472719437008 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 2.3103090515543805 y[1] (numeric) 2.308941480622163 absolute error 0.001367570932217621 relative error 0.05919428534020228% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.778873977827659 Order of pole (three term test) 1.508608980648967 Radius of convergence (six term test) for eq 1 8.327253061298176 Order of pole (six term test) -0.7152795136984054 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 2.317791430822007 y[1] (numeric) 2.316419344060689 absolute error 0.0013720867613180587 relative error 0.059198025459583595% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.78886959449584 Order of pole (three term test) 1.508624518884701 Radius of convergence (six term test) for eq 1 8.345062643312897 Order of pole (six term test) -0.7152117688681514 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 2.3252828349226995 y[1] (numeric) 2.3239062350948183 absolute error 0.0013765998278811864 relative error 0.059201392931924744% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.798865204014656 Order of pole (three term test) 1.5086400473488597 Radius of convergence (six term test) for eq 1 8.362873858609651 Order of pole (six term test) -0.7151440450789863 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 2.3327832583544836 y[1] (numeric) 2.3314021482115916 absolute error 0.0013811101428919947 relative error 0.05920439191878515% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.808860806392008 Order of pole (three term test) 1.5086555660444734 Radius of convergence (six term test) for eq 1 8.380686526482068 Order of pole (six term test) -0.7150763458965521 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 2.3402926956372454 y[1] (numeric) 2.338907077919965 absolute error 0.0013856177172804074 relative error 0.05920702653405126% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.818856401635555 Order of pole (three term test) 1.5086710749752763 Radius of convergence (six term test) for eq 1 8.39850127134283 Order of pole (six term test) -0.7150086592785918 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 2.3478111413126097 y[1] (numeric) 2.3464210187506946 absolute error 0.0013901225619150637 relative error 0.05920930084426964% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.8288519897531454 Order of pole (three term test) 1.5086865741441138 Radius of convergence (six term test) for eq 1 8.416317691502373 Order of pole (six term test) -0.7149409929566097 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 2.3553385899438393 y[1] (numeric) 2.353943965256219 absolute error 0.001394624687620194 relative error 0.059211218869956506% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.838847570752477 Order of pole (three term test) 1.5087020635544484 Radius of convergence (six term test) for eq 1 8.434135566527837 Order of pole (six term test) -0.7148733511744112 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 2.3628750361156854 y[1] (numeric) 2.361475912010545 absolute error 0.0013991241051405368 relative error 0.059212784584687456% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.848843144641439 Order of pole (three term test) 1.5087175432091189 Radius of convergence (six term test) for eq 1 8.451955535111244 Order of pole (six term test) -0.7148057216637707 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 2.370420474434315 y[1] (numeric) 2.369016853609133 absolute error 0.0014036208251821947 relative error 0.05921400191740916% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.8588387114275555 Order of pole (three term test) 1.5087330131123444 Radius of convergence (six term test) for eq 1 8.469776936910053 Order of pole (six term test) -0.7147381171628044 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 2.377974899527178 y[1] (numeric) 2.376566784668785 absolute error 0.0014081148583930947 relative error 0.059214874752171506% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.8688342711190264 Order of pole (three term test) 1.5087484732654888 Radius of convergence (six term test) for eq 1 8.487599959772242 Order of pole (six term test) -0.7146705340025807 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 2.3855383060428927 y[1] (numeric) 2.3841256998275306 absolute error 0.0014126062153621 relative error 0.05921540692864904% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.878829823723121 Order of pole (three term test) 1.508763923673617 Radius of convergence (six term test) for eq 1 8.5054249773819 Order of pole (six term test) -0.714602965049643 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 2.3931106886511273 y[1] (numeric) 2.3916935937445163 absolute error 0.0014170949066110161 relative error 0.059215602242358424% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.888825369247855 Order of pole (three term test) 1.508779364339221 Radius of convergence (six term test) for eq 1 8.523251538519586 Order of pole (six term test) -0.7145354189763484 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 2.4006920420425217 y[1] (numeric) 2.3992704610998943 absolute error 0.001421580942627454 relative error 0.05921546444657538% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.898820907701042 Order of pole (three term test) 1.5087947952651708 Radius of convergence (six term test) for eq 1 8.541079978538393 Order of pole (six term test) -0.7144678893376213 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 2.4082823609285384 y[1] (numeric) 2.406856296594712 absolute error 0.0014260643338266377 relative error 0.05921499725126931% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.908816439090258 Order of pole (three term test) 1.5088102164551038 Radius of convergence (six term test) for eq 1 8.558909937840893 Order of pole (six term test) -0.7144003830432801 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 2.415881640041377 y[1] (numeric) 2.414451094950803 absolute error 0.0014305450905740535 relative error 0.05921420432457745% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.918811963423147 Order of pole (three term test) 1.5088256279131445 Radius of convergence (six term test) for eq 1 8.576741679906354 Order of pole (six term test) -0.7143328950529657 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 2.4234898741338746 y[1] (numeric) 2.4220548509106794 absolute error 0.0014350232231952198 relative error 0.05921308929372273% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.928807480707749 Order of pole (three term test) 1.508841029640682 Radius of convergence (six term test) for eq 1 8.594575218888153 Order of pole (six term test) -0.7142654251246157 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 2.431107057979366 y[1] (numeric) 2.4296675592374233 absolute error 0.001439498741942824 relative error 0.059211655744164336% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.938802990951488 Order of pole (three term test) 1.5088564216427351 Radius of convergence (six term test) for eq 1 8.612410434497724 Order of pole (six term test) -0.7141979755412731 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 2.438733186371607 y[1] (numeric) 2.43728921471458 absolute error 0.0014439716570269212 relative error 0.059209907221350826% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.9487984941624035 Order of pole (three term test) 1.5088718039209752 Radius of convergence (six term test) for eq 1 8.630247449473286 Order of pole (six term test) -0.71413054395933 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 2.4463682541246428 y[1] (numeric) 2.4449198121460527 absolute error 0.0014484419785900648 relative error 0.059207847230193275% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.958793990348052 Order of pole (three term test) 1.5088871764794634 Radius of convergence (six term test) for eq 1 8.648086022941103 Order of pole (six term test) -0.7140631350140421 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 2.4540122560727387 y[1] (numeric) 2.452559346355995 absolute error 0.0014529097167437222 relative error 0.05920547923704652% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.968789479516135 Order of pole (three term test) 1.5089025393215365 Radius of convergence (six term test) for eq 1 8.665926419345933 Order of pole (six term test) -0.7139957436245101 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 2.4616651870702526 y[1] (numeric) 2.4602078121887083 absolute error 0.0014573748815442933 relative error 0.0592028066692037% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.978784961674384 Order of pole (three term test) 1.5089178924501099 Radius of convergence (six term test) for eq 1 8.683768721335493 Order of pole (six term test) -0.7139283682442805 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 2.4693270419915123 y[1] (numeric) 2.4678652045085374 absolute error 0.0014618374829749037 relative error 0.059199832914636194% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.988780436830586 Order of pole (three term test) 1.508933235868247 Radius of convergence (six term test) for eq 1 8.701612300407891 Order of pole (six term test) -0.7138610209130292 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 2.4769978157307513 y[1] (numeric) 2.4755315181997672 absolute error 0.0014662975309840398 relative error 0.05919656132403412% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 4.998775904992506 Order of pole (three term test) 1.5089485695792264 Radius of convergence (six term test) for eq 1 8.719457798149934 Order of pole (six term test) -0.7137936893329098 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 2.4846775032019917 y[1] (numeric) 2.48320674816652 absolute error 0.0014707550354717824 relative error 0.05919299521070351% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.008771366167654 Order of pole (three term test) 1.508963893586604 Radius of convergence (six term test) for eq 1 8.737305115605407 Order of pole (six term test) -0.7137263754169219 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 2.492366099338936 y[1] (numeric) 2.490890889332654 absolute error 0.001475210006281813 relative error 0.05918913785069903% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.018766820363739 Order of pole (three term test) 1.5089792078939337 Radius of convergence (six term test) for eq 1 8.755154299015173 Order of pole (six term test) -0.7136590782962866 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 2.500063599094867 y[1] (numeric) 2.498583936641663 absolute error 0.001479662453204078 relative error 0.059184992483382465% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.028762267588805 Order of pole (three term test) 1.5089945125028017 Radius of convergence (six term test) for eq 1 8.773004864234064 Order of pole (six term test) -0.7135918072265941 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 2.5077699974425602 y[1] (numeric) 2.506285885056575 absolute error 0.0014841123859854477 relative error 0.059180562312291594% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.038757707850176 Order of pole (three term test) 1.5090098074182938 Radius of convergence (six term test) for eq 1 8.790857381143681 Order of pole (six term test) -0.7135245513201696 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 2.5154852893741744 y[1] (numeric) 2.5139967295598535 absolute error 0.0014885598143208334 relative error 0.059175850505218855% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.048753141155803 Order of pole (three term test) 1.5090250926421813 Radius of convergence (six term test) for eq 1 8.808711536094059 Order of pole (six term test) -0.7134573166108638 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 2.523209469901161 y[1] (numeric) 2.5217164651532986 absolute error 0.0014930047478625141 relative error 0.05917086019501179% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.058748567513068 Order of pole (three term test) 1.5090403681790439 Radius of convergence (six term test) for eq 1 8.826567462954387 Order of pole (six term test) -0.7133901005019503 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 2.530942534054141 y[1] (numeric) 2.5294450868579483 absolute error 0.0014974471961926028 relative error 0.059165594478905306% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.068743986930028 Order of pole (three term test) 1.5090556340307342 Radius of convergence (six term test) for eq 1 8.844425102728744 Order of pole (six term test) -0.7133229041407638 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 2.538684476882846 y[1] (numeric) 2.5371825897139817 absolute error 0.0015018871688643465 relative error 0.05916005642057797% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.078739399414074 Order of pole (three term test) 1.509070890201598 Radius of convergence (six term test) for eq 1 8.862284662343944 Order of pole (six term test) -0.7132557236023835 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 2.5464352934559997 y[1] (numeric) 2.544928968780621 absolute error 0.0015063246753785897 relative error 0.05915424904962808% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.088734804973182 Order of pole (three term test) 1.5090861366934833 Radius of convergence (six term test) for eq 1 8.880145633714381 Order of pole (six term test) -0.7131885686049291 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 2.554194978861231 y[1] (numeric) 2.552684219136038 absolute error 0.0015107597251931004 relative error 0.05914817536234691% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.098730203614707 Order of pole (three term test) 1.5091013735111651 Radius of convergence (six term test) for eq 1 8.898008653654886 Order of pole (six term test) -0.7131214269457313 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 2.561963528204952 y[1] (numeric) 2.560448335877255 absolute error 0.0015151923276972568 relative error 0.05914183832112868% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.108725595346469 Order of pole (three term test) 1.5091166006570875 Radius of convergence (six term test) for eq 1 8.915873216971184 Order of pole (six term test) -0.7130543083023824 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 2.5697409366123125 y[1] (numeric) 2.5682213141200534 absolute error 0.0015196224922591206 relative error 0.05913524085670822% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.118720980176226 Order of pole (three term test) 1.509131818133928 Radius of convergence (six term test) for eq 1 8.93373936910609 Order of pole (six term test) -0.7129872118300611 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 2.5775271992270667 y[1] (numeric) 2.5760031489988773 absolute error 0.0015240502281894663 relative error 0.05912838586714% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.128716358111608 Order of pole (three term test) 1.5091470259454747 Radius of convergence (six term test) for eq 1 8.951607469615551 Order of pole (six term test) -0.7129201306483797 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 2.5853223112114847 y[1] (numeric) 2.5837938356667416 absolute error 0.001528475544743113 relative error 0.05912127621823941% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.138711729160058 Order of pole (three term test) 1.5091622240955342 Radius of convergence (six term test) for eq 1 8.969477230780695 Order of pole (six term test) -0.7128530703081495 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 2.5931262677462854 y[1] (numeric) 2.591593369295138 absolute error 0.0015328984511473465 relative error 0.05911391474506197% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.148707093329558 Order of pole (three term test) 1.50917741258612 Radius of convergence (six term test) for eq 1 8.987348881353055 Order of pole (six term test) -0.7127860263843768 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) 2.6009390640305057 y[1] (numeric) 2.5994017450739437 absolute error 0.0015373189565619505 relative error 0.059106304250729644% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.158702450627538 Order of pole (three term test) 1.5091925914210236 Radius of convergence (six term test) for eq 1 9.005222073316192 Order of pole (six term test) -0.7127190055620556 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 2.6087606952814504 y[1] (numeric) 2.607218958211329 absolute error 0.0015417370701213962 relative error 0.0590984475084275% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.168697801061975 Order of pole (three term test) 1.5092077606024725 Radius of convergence (six term test) for eq 1 9.023097013256548 Order of pole (six term test) -0.712652003912126 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 2.6165911567345628 y[1] (numeric) 2.6150450039336675 absolute error 0.0015461528008953174 relative error 0.059090347260245105% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.178693144640161 Order of pole (three term test) 1.5092229201351999 Radius of convergence (six term test) for eq 1 9.040973832299434 Order of pole (six term test) -0.7125850189199827 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 2.624430443643382 y[1] (numeric) 2.622879877485444 absolute error 0.001550566157937805 relative error 0.059082006219422674% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.188688481369719 Order of pole (three term test) 1.509238070022186 Radius of convergence (six term test) for eq 1 9.058852302139682 Order of pole (six term test) -0.7125180549683332 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 2.6322785512793914 y[1] (numeric) 2.6307235741291675 absolute error 0.0015549771502239018 relative error 0.059073427068275945% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.198683811258674 Order of pole (three term test) 1.509253210265084 Radius of convergence (six term test) for eq 1 9.076732587276913 Order of pole (six term test) -0.7124511088994865 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 2.640135474931988 y[1] (numeric) 2.63857608914528 absolute error 0.0015593857867077787 relative error 0.05906461246076586% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.208679134314109 Order of pole (three term test) 1.5092683408695737 Radius of convergence (six term test) for eq 1 9.094614597881261 Order of pole (six term test) -0.712384182466522 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 2.648001209908351 y[1] (numeric) 2.6464374178320687 absolute error 0.001563792076282322 relative error 0.059055565021303214% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.218674450544393 Order of pole (three term test) 1.509283461835974 Radius of convergence (six term test) for eq 1 9.112498093239582 Order of pole (six term test) -0.7123172802658324 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) 2.655875751533392 y[1] (numeric) 2.6543075555055777 absolute error 0.001568196027814217 relative error 0.05904628734641694% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.228669759956566 Order of pole (three term test) 1.509298573169196 Radius of convergence (six term test) for eq 1 9.130383662485738 Order of pole (six term test) -0.7122503910573545 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) 2.6637590951496346 y[1] (numeric) 2.662186497499522 absolute error 0.0015725976501124173 relative error 0.059036782003895054% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.238665062558525 Order of pole (three term test) 1.509313674871936 Radius of convergence (six term test) for eq 1 9.148271009321487 Order of pole (six term test) -0.7121835204724203 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) 2.6716512361171603 y[1] (numeric) 2.6700742391652 absolute error 0.001576996951960119 relative error 0.05902705153431796% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.248660358357722 Order of pole (three term test) 1.509328766948083 Radius of convergence (six term test) for eq 1 9.16615981038434 Order of pole (six term test) -0.7121166747319094 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) 2.67955216981348 y[1] (numeric) 2.677970775871407 absolute error 0.0015813939420730172 relative error 0.059017098449816556% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.258655647361994 Order of pole (three term test) 1.5093438493994642 Radius of convergence (six term test) for eq 1 9.184050561145387 Order of pole (six term test) -0.7120498443741159 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) 2.6874618916334896 y[1] (numeric) 2.68587610300435 absolute error 0.0015857886291397172 relative error 0.05900692523590893% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.268650929578649 Order of pole (three term test) 1.5093589222312012 Radius of convergence (six term test) for eq 1 9.201943030914753 Order of pole (six term test) -0.7119830338188802 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) 2.6953803969893695 y[1] (numeric) 2.6937902159675637 absolute error 0.0015901810218057477 relative error 0.05899653435121497% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.278646205015585 Order of pole (three term test) 1.5093739854446995 Radius of convergence (six term test) for eq 1 9.219837265131885 Order of pole (six term test) -0.7119162421788285 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) 2.7033076813105 y[1] (numeric) 2.7017131101818257 absolute error 0.001594571128674449 relative error 0.05898592822780122% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.28864147368041 Order of pole (three term test) 1.5093890390435503 Radius of convergence (six term test) for eq 1 9.237733061372639 Order of pole (six term test) -0.71184947335143 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) 2.7112437400433773 y[1] (numeric) 2.709644781085072 absolute error 0.0015989589583051966 relative error 0.058975109271422965% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.298636735580807 Order of pole (three term test) 1.5094040830306295 Radius of convergence (six term test) for eq 1 9.255630854927695 Order of pole (six term test) -0.7117827190266279 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) 2.7191885686515302 y[1] (numeric) 2.717585224132314 absolute error 0.0016033445192160656 relative error 0.05896407986192655% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.30863199072404 Order of pole (three term test) 1.5094191174100609 Radius of convergence (six term test) for eq 1 9.273530222321664 Order of pole (six term test) -0.7117159873246859 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y[1] (analytic) 2.7271421626154453 y[1] (numeric) 2.725534434795557 absolute error 0.0016077278198882716 relative error 0.05895284235371112% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.3186272391178955 Order of pole (three term test) 1.509434142184651 Radius of convergence (six term test) for eq 1 9.29143134608954 Order of pole (six term test) -0.711649274698777 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y[1] (analytic) 2.7351045174324593 y[1] (numeric) 2.733492408563716 absolute error 0.0016121088687435225 relative error 0.05894139907519391% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.328622480770012 Order of pole (three term test) 1.5094491573575617 Radius of convergence (six term test) for eq 1 9.309334319144508 Order of pole (six term test) -0.711582579439682 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) 2.7430756286167366 y[1] (numeric) 2.741459140942536 absolute error 0.0016164876742004175 relative error 0.05892975233116599% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.338617715687812 Order of pole (three term test) 1.5094641629322638 Radius of convergence (six term test) for eq 1 9.32723900115738 Order of pole (six term test) -0.7115159042414376 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) 2.7510554916991126 y[1] (numeric) 2.7494346274545114 absolute error 0.0016208642446011723 relative error 0.05891790440039764% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.348612943879097 Order of pole (three term test) 1.509479158911309 Radius of convergence (six term test) for eq 1 9.34514544536502 Order of pole (six term test) -0.7114492480748833 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) 2.75904410222706 y[1] (numeric) 2.7574188636388026 absolute error 0.0016252385882573606 relative error 0.0589058575375976% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.358608165351623 Order of pole (three term test) 1.5094941452969453 Radius of convergence (six term test) for eq 1 9.363053583186943 Order of pole (six term test) -0.7113826122434475 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y[1] (analytic) 2.7670414557646126 y[1] (numeric) 2.7654118450511596 absolute error 0.0016296107134530224 relative error 0.058893613973799844% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.368603380112663 Order of pole (three term test) 1.509509122093886 Radius of convergence (six term test) for eq 1 9.380963671127777 Order of pole (six term test) -0.7113159918941694 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y[1] (analytic) 2.7750475478922603 y[1] (numeric) 2.77341356726384 absolute error 0.0016339806284202396 relative error 0.05888117591575329% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.378598588169754 Order of pole (three term test) 1.509524089305438 Radius of convergence (six term test) for eq 1 9.39887530887811 Order of pole (six term test) -0.7112493946448488 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) 2.783062374206885 y[1] (numeric) 2.7814240258655314 absolute error 0.0016383483413537903 relative error 0.058868545546726575% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.3885937895307565 Order of pole (three term test) 1.5095390469332841 Radius of convergence (six term test) for eq 1 9.416788999117944 Order of pole (six term test) -0.7111828109330816 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) 2.791085930321689 y[1] (numeric) 2.789443216461273 absolute error 0.001642713860416034 relative error 0.05885572502695042% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.398588984202721 Order of pole (three term test) 1.5095539949830594 Radius of convergence (six term test) for eq 1 9.434703853392215 Order of pole (six term test) -0.711116257637114 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) 2.799118211866098 y[1] (numeric) 2.7974711346723766 absolute error 0.001647077193721369 relative error 0.05884271649332403% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.408584172194139 Order of pole (three term test) 1.5095689334542088 Radius of convergence (six term test) for eq 1 9.452621022474043 Order of pole (six term test) -0.7110497129725051 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y[1] (analytic) 2.807159214485708 y[1] (numeric) 2.8055077761363516 absolute error 0.0016514383493562157 relative error 0.05882952206039269% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.418579353511829 Order of pole (three term test) 1.509583862352877 Radius of convergence (six term test) for eq 1 9.470539815079404 Order of pole (six term test) -0.710983190023498 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y[1] (analytic) 2.8152089338421824 y[1] (numeric) 2.8135531365068256 absolute error 0.0016557973353568123 relative error 0.058816143819811935% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.4285745281634235 Order of pole (three term test) 1.5095987816815992 Radius of convergence (six term test) for eq 1 9.488460168602815 Order of pole (six term test) -0.7109166899915245 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) 2.8232673656131944 y[1] (numeric) 2.821607211453469 absolute error 0.0016601541597252023 relative error 0.05880258384117397% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.438569696156808 Order of pole (three term test) 1.5096136914425575 Radius of convergence (six term test) for eq 1 9.50638247314184 Order of pole (six term test) -0.7108502054787529 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) 2.8313345054923538 y[1] (numeric) 2.829669996661921 absolute error 0.001664508830432787 relative error 0.05878884417238217% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.448564857499196 Order of pole (three term test) 1.5096285916403445 Radius of convergence (six term test) for eq 1 9.524306703442742 Order of pole (six term test) -0.7107837369770156 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y[1] (analytic) 2.8394103491891123 y[1] (numeric) 2.8377414878337106 absolute error 0.001668861355401674 relative error 0.05877492683923874% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.45856001219838 Order of pole (three term test) 1.5096434822768487 Radius of convergence (six term test) for eq 1 9.54223226916707 Order of pole (six term test) -0.710717295673641 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y[1] (analytic) 2.8474948924287204 y[1] (numeric) 2.845821680686185 absolute error 0.0016732117425353188 relative error 0.05876083384677057% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.468555160261735 Order of pole (three term test) 1.5096583633561251 Radius of convergence (six term test) for eq 1 9.560159947296034 Order of pole (six term test) -0.7106508669061764 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y[1] (analytic) 2.855588130952107 y[1] (numeric) 2.853910570952434 absolute error 0.0016775599996727841 relative error 0.058746567177860275% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.478550301697033 Order of pole (three term test) 1.5096732348806385 Radius of convergence (six term test) for eq 1 9.578089171306761 Order of pole (six term test) -0.7105844613343208 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) 2.8636900605158573 y[1] (numeric) 2.8620081543812166 absolute error 0.0016819061346406983 relative error 0.05873212879531119% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.4885454365115836 Order of pole (three term test) 1.509688096854028 Radius of convergence (six term test) for eq 1 9.596020214657099 Order of pole (six term test) -0.7105180738479557 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) 2.871800676892107 y[1] (numeric) 2.870114426736886 absolute error 0.0016862501552212805 relative error 0.05871752064095751% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.498540564713173 Order of pole (three term test) 1.5097029492786955 Radius of convergence (six term test) for eq 1 9.613953035339247 Order of pole (six term test) -0.7104517052393398 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y[1] (analytic) 2.879919975868468 y[1] (numeric) 2.8782293837993187 absolute error 0.0016905920691492327 relative error 0.058702744635792115% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.5085356863090835 Order of pole (three term test) 1.5097177921588616 Radius of convergence (six term test) for eq 1 9.631887605734898 Order of pole (six term test) -0.7103853560188931 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y[1] (analytic) 2.888047953247984 y[1] (numeric) 2.886353021363841 absolute error 0.0016949318841428251 relative error 0.05868780268127663% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.518530801307107 Order of pole (three term test) 1.5097326254965016 Radius of convergence (six term test) for eq 1 9.649824036642665 Order of pole (six term test) -0.7103190241250665 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) 2.8961846048490294 y[1] (numeric) 2.894485335241158 absolute error 0.0016992696078714786 relative error 0.05867269665843891% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.528525909714695 Order of pole (three term test) 1.5097474492949787 Radius of convergence (six term test) for eq 1 9.667762263076112 Order of pole (six term test) -0.7102527107662677 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) 2.9043299265052482 y[1] (numeric) 2.90262632125728 absolute error 0.0017036052479681985 relative error 0.05865742842853015% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.538521011539176 Order of pole (three term test) 1.5097622635587062 Radius of convergence (six term test) for eq 1 9.685702075600043 Order of pole (six term test) -0.7101864199390224 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) 2.9124839140654935 y[1] (numeric) 2.9107759752534546 absolute error 0.0017079388120389005 relative error 0.058641999833565224% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.54851610678816 Order of pole (three term test) 1.509777068289816 Radius of convergence (six term test) for eq 1 9.703643748506282 Order of pole (six term test) -0.7101201464334341 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) 2.920646563393735 y[1] (numeric) 2.9189342930860924 absolute error 0.0017122703076424273 relative error 0.058626412695851914% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.558511195469388 Order of pole (three term test) 1.5097918634910186 Radius of convergence (six term test) for eq 1 9.72158727527718 Order of pole (six term test) -0.7100538904217295 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) 2.9288178703690235 y[1] (numeric) 2.9271012706267006 absolute error 0.0017165997423229662 relative error 0.05861066881931716% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.568506277590296 Order of pole (three term test) 1.5098066491656021 Radius of convergence (six term test) for eq 1 9.739532394302675 Order of pole (six term test) -0.7099876568418235 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) 2.936997830885371 y[1] (numeric) 2.93527690376181 absolute error 0.0017209271235612 relative error 0.058594769988046566% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.578501353158173 Order of pole (three term test) 1.5098214253175934 Radius of convergence (six term test) for eq 1 9.757479504375443 Order of pole (six term test) -0.709921438137938 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) 2.945186440851753 y[1] (numeric) 2.9434611883929076 absolute error 0.001725252458845361 relative error 0.058578717968917955% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.588496422180779 Order of pole (three term test) 1.5098361919493337 Radius of convergence (six term test) for eq 1 9.775428295719845 Order of pole (six term test) -0.7098552402275402 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) 2.9533836961919384 y[1] (numeric) 2.9516541204363684 absolute error 0.0017295757555699787 relative error 0.05856251450836122% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.598491484665565 Order of pole (three term test) 1.5098509490638448 Radius of convergence (six term test) for eq 1 9.793378793390074 Order of pole (six term test) -0.7097890625682322 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) 2.961589592844536 y[1] (numeric) 2.9598556958233853 absolute error 0.0017338970211508986 relative error 0.058546161336471066% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.608486540619965 Order of pole (three term test) 1.5098656966649147 Radius of convergence (six term test) for eq 1 9.811331088437516 Order of pole (six term test) -0.7097229035161146 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) 2.969804126762835 y[1] (numeric) 2.9680659104999014 absolute error 0.0017382162629333564 relative error 0.05852966016408827% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.618481590051412 Order of pole (three term test) 1.5098804347555796 Radius of convergence (six term test) for eq 1 9.829285065435295 Order of pole (six term test) -0.7096567652398349 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) 2.978027293914799 y[1] (numeric) 2.9762847604265437 absolute error 0.0017425334882554822 relative error 0.058513012685146186% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.6284766329675024 Order of pole (three term test) 1.5098951633385447 Radius of convergence (six term test) for eq 1 9.847241201166014 Order of pole (six term test) -0.7095906387511199 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) 2.98625909028296 y[1] (numeric) 2.984512241578555 absolute error 0.0017468487044052239 relative error 0.05849622057541239% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.6384716693758214 Order of pole (three term test) 1.509909882416921 Radius of convergence (six term test) for eq 1 9.865198607015017 Order of pole (six term test) -0.7095245407959077 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) 2.994499511864369 y[1] (numeric) 2.9927483499457277 absolute error 0.0017511619186412197 relative error 0.05847928549338618% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.648466699283775 Order of pole (three term test) 1.5099245919941344 Radius of convergence (six term test) for eq 1 9.883158246256768 Order of pole (six term test) -0.7094584532549852 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) 3.002748554670532 y[1] (numeric) 3.000993081532337 absolute error 0.0017554731381950184 relative error 0.05846220908056128% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.65846172269875 Order of pole (three term test) 1.509939292073356 Radius of convergence (six term test) for eq 1 9.901119334253938 Order of pole (six term test) -0.7093923909079596 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 3.0110062147273204 y[1] (numeric) 3.0092464323570765 absolute error 0.0017597823702439896 relative error 0.05844499296071221% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.6684567396284455 Order of pole (three term test) 1.5099539826569404 Radius of convergence (six term test) for eq 1 9.9190822560574 Order of pole (six term test) -0.7093263464964288 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) 3.0192724880749644 y[1] (numeric) 3.0175083984529905 absolute error 0.001764089621973941 relative error 0.05842763874216248% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.678451750080392 Order of pole (three term test) 1.5099686637480583 Radius of convergence (six term test) for eq 1 9.937047183974675 Order of pole (six term test) -0.7092603168016094 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 3.0275473707679055 y[1] (numeric) 3.025778975867411 absolute error 0.0017683949004942967 relative error 0.05841014801514937% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.688446754061766 Order of pole (three term test) 1.509983335350942 Radius of convergence (six term test) for eq 1 9.955013645793121 Order of pole (six term test) -0.70919431072695 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 3.035830858874796 y[1] (numeric) 3.0340581606618926 absolute error 0.0017726982129033786 relative error 0.058392522354174026% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.698441751580067 Order of pole (three term test) 1.5099979974683722 Radius of convergence (six term test) for eq 1 9.972982111494796 Order of pole (six term test) -0.7091283194494817 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 3.044122948478428 y[1] (numeric) 3.0423459489121476 absolute error 0.0017769995662804128 relative error 0.05837476331790826% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.708436742643066 Order of pole (three term test) 1.5100126501025846 Radius of convergence (six term test) for eq 1 9.990952211053616 Order of pole (six term test) -0.7090623498930686 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 3.05242363567562 y[1] (numeric) 3.0506423367079822 absolute error 0.001781298967637568 relative error 0.05835687244779499% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.718431727258195 Order of pole (three term test) 1.5100272932566348 Radius of convergence (six term test) for eq 1 10.008924147617542 Order of pole (six term test) -0.7089963982790835 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 3.060732916577223 y[1] (numeric) 3.058947320153235 absolute error 0.0017855964239879007 relative error 0.05833885127045681% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.728426705432156 Order of pole (three term test) 1.5100419269365675 Radius of convergence (six term test) for eq 1 10.026897735985855 Order of pole (six term test) -0.7089304680741559 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 3.069050787308008 y[1] (numeric) 3.067260895365711 absolute error 0.0017898919422969506 relative error 0.05832070129627732% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.738421677173492 Order of pole (three term test) 1.5100565511415383 Radius of convergence (six term test) for eq 1 10.04487322969295 Order of pole (six term test) -0.7088645545657855 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 3.0773772440066267 y[1] (numeric) 3.0755830584771218 absolute error 0.0017941855295049436 relative error 0.05830242402029928% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.748416642489304 Order of pole (three term test) 1.510071165875839 Radius of convergence (six term test) for eq 1 10.062850416345388 Order of pole (six term test) -0.708798661699106 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 3.085712282825547 y[1] (numeric) 3.0839138056330215 absolute error 0.0017984771925254606 relative error 0.058284020922346594% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.7584116013866575 Order of pole (three term test) 1.510085771143903 Radius of convergence (six term test) for eq 1 10.08082957934132 Order of pole (six term test) -0.7087327842089639 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 3.094055899930961 y[1] (numeric) 3.092253132992746 absolute error 0.0018027669382147948 relative error 0.05826549346619823% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.768406553873426 Order of pole (three term test) 1.510100366947615 Radius of convergence (six term test) for eq 1 10.098810373649332 Order of pole (six term test) -0.7086669285403921 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 3.102408091502795 y[1] (numeric) 3.100601036729351 absolute error 0.0018070547734443387 relative error 0.058246843102095186% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.77840149995702 Order of pole (three term test) 1.5101149532899192 Radius of convergence (six term test) for eq 1 10.116792998764717 Order of pole (six term test) -0.7086010909894362 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 3.1107688537345517 y[1] (numeric) 3.10895751302955 absolute error 0.0018113407050015518 relative error 0.05822807126370043% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.78839643964441 Order of pole (three term test) 1.5101295301757922 Radius of convergence (six term test) for eq 1 10.134777649737549 Order of pole (six term test) -0.708535267892973 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 3.1191381828333533 y[1] (numeric) 3.1173225580936568 absolute error 0.001815624739696542 relative error 0.05820917937169652% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.798391372943812 Order of pole (three term test) 1.510144097605424 Radius of convergence (six term test) for eq 1 10.152763622761523 Order of pole (six term test) -0.7084694724356186 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 3.127516075019795 y[1] (numeric) 3.12569616813552 absolute error 0.0018199068842745802 relative error 0.05819016883112461% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.80838629986206 Order of pole (three term test) 1.5101586555841573 Radius of convergence (six term test) for eq 1 10.170751672491168 Order of pole (six term test) -0.7084036905174376 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 3.135902526527932 y[1] (numeric) 3.134078339382469 absolute error 0.0018241871454631742 relative error 0.05817104103305507% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.818381220406754 Order of pole (three term test) 1.5101732041146352 Radius of convergence (six term test) for eq 1 10.188741441945153 Order of pole (six term test) -0.7083379288024965 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 3.144297533605201 y[1] (numeric) 3.142469068075249 absolute error 0.0018284655299516395 relative error 0.058151797354086605% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.828376134585529 Order of pole (three term test) 1.5101877431987583 Radius of convergence (six term test) for eq 1 10.206733230413155 Order of pole (six term test) -0.7082721817377209 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 3.152701092512377 y[1] (numeric) 3.150868350467966 absolute error 0.0018327420444106401 relative error 0.0581324391571208% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.838371042405673 Order of pole (three term test) 1.5102022728406357 Radius of convergence (six term test) for eq 1 10.224726476168259 Order of pole (six term test) -0.7082064598086699 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 3.1611131995234985 y[1] (numeric) 3.159276182828025 absolute error 0.0018370166954735367 relative error 0.05811296779091764% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.848365943874496 Order of pole (three term test) 1.5102167930434538 Radius of convergence (six term test) for eq 1 10.242721614291845 Order of pole (six term test) -0.708140754890719 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 3.1695338509258235 y[1] (numeric) 3.1676925614360725 absolute error 0.0018412894897510412 relative error 0.058093384590708785% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.858360838999547 Order of pole (three term test) 1.5102313038099227 Radius of convergence (six term test) for eq 1 10.260718835664887 Order of pole (six term test) -0.7080750634536006 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 3.1779630430197585 y[1] (numeric) 3.1761174825859393 absolute error 0.0018455604338192266 relative error 0.05807369087796381% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.868355727788086 Order of pole (three term test) 1.5102458051438585 Radius of convergence (six term test) for eq 1 10.278717513653955 Order of pole (six term test) -0.7080093971867711 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 3.1864007721188123 y[1] (numeric) 3.1845509425845817 absolute error 0.0018498295342306292 relative error 0.05805388796088498% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.878350610248001 Order of pole (three term test) 1.5102602970462702 Radius of convergence (six term test) for eq 1 10.296717929306062 Order of pole (six term test) -0.7079437508436879 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 3.1948470345495323 y[1] (numeric) 3.192992937752024 absolute error 0.0018540967975084754 relative error 0.05803397713436693% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.888345486385985 Order of pole (three term test) 1.5102747795233933 Radius of convergence (six term test) for eq 1 10.314720333610952 Order of pole (six term test) -0.7078781197555326 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 3.203301826651437 y[1] (numeric) 3.201443464421301 absolute error 0.0018583622301360236 relative error 0.05801395967980506% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.898340356210117 Order of pole (three term test) 1.5102892525753617 Radius of convergence (six term test) for eq 1 10.33272469249893 Order of pole (six term test) -0.7078125045876096 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 3.211765144776983 y[1] (numeric) 3.2099025189384025 absolute error 0.001862625838580545 relative error 0.05799383686598545% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.908335219727089 Order of pole (three term test) 1.5103037162079958 Radius of convergence (six term test) for eq 1 10.350730562959189 Order of pole (six term test) -0.7077469135972265 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 3.2202369852915 y[1] (numeric) 3.2183700976622163 absolute error 0.0018668876292835535 relative error 0.05797360994891376% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.918330076945136 Order of pole (three term test) 1.510318170421349 Radius of convergence (six term test) for eq 1 10.368738343683455 Order of pole (six term test) -0.7076813393324048 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 3.22871734457312 y[1] (numeric) 3.226846196964472 absolute error 0.0018711476086479273 relative error 0.057953280171551165% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.928324927871008 Order of pole (three term test) 1.5103326152209666 Radius of convergence (six term test) for eq 1 10.386747824342763 Order of pole (six term test) -0.7076157857777527 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 3.2372062190127444 y[1] (numeric) 3.235330813229685 absolute error 0.0018754057830592252 relative error 0.057932848764610696% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.938319772512302 Order of pole (three term test) 1.5103470506093168 Radius of convergence (six term test) for eq 1 10.404759440209782 Order of pole (six term test) -0.7075502447779627 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 3.2457036050139614 y[1] (numeric) 3.2438239428551023 absolute error 0.0018796621588590412 relative error 0.057912316945864684% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.948314610876573 Order of pole (three term test) 1.5103614765883606 Radius of convergence (six term test) for eq 1 10.4227726934951 Order of pole (six term test) -0.707484725640823 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 3.254209498993035 y[1] (numeric) 3.2523255822506454 absolute error 0.0018839167423894132 relative error 0.05789168592164587% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.95830944297117 Order of pole (three term test) 1.5103758931619422 Radius of convergence (six term test) for eq 1 10.44078766248368 Order of pole (six term test) -0.7074192269125739 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 3.2627238973787875 y[1] (numeric) 3.260835727838857 absolute error 0.0018881695399306508 relative error 0.05787095688506072% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.968304268803278 Order of pole (three term test) 1.5103903003333568 Radius of convergence (six term test) for eq 1 10.458804377849972 Order of pole (six term test) -0.7073537480473302 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 3.271246796612612 y[1] (numeric) 3.2693543760548462 absolute error 0.0018924205577657283 relative error 0.05785013101809795% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.9782990883804565 Order of pole (three term test) 1.5104046981052925 Radius of convergence (six term test) for eq 1 10.47682314441443 Order of pole (six term test) -0.7072882833644627 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 3.2797781931483705 y[1] (numeric) 3.2778815233462355 absolute error 0.001896669802134987 relative error 0.05782920949036219% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.988293901709917 Order of pole (three term test) 1.5104190864812752 Radius of convergence (six term test) for eq 1 10.494843583390386 Order of pole (six term test) -0.707222839927967 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 3.288318083452353 y[1] (numeric) 3.2864171661731048 absolute error 0.0019009172792481266 relative error 0.05780819345956897% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 5.998288708799211 Order of pole (three term test) 1.5104334654639384 Radius of convergence (six term test) for eq 1 10.512865872366508 Order of pole (six term test) -0.7071574144356578 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 3.296866464003255 y[1] (numeric) 3.2949613010079393 absolute error 0.0019051629953157345 relative error 0.05778708407262483% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.008283509655537 Order of pole (three term test) 1.510447835056701 Radius of convergence (six term test) for eq 1 10.530889810970319 Order of pole (six term test) -0.7070920106078322 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 3.3054233312920474 y[1] (numeric) 3.303513924335577 absolute error 0.0019094069564702387 relative error 0.05776588246334778% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.018278304286553 Order of pole (three term test) 1.510462195262023 Radius of convergence (six term test) for eq 1 10.54891573709197 Order of pole (six term test) -0.7070266222164641 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 3.313988681822032 y[1] (numeric) 3.3120750326531545 absolute error 0.0019136491688773738 relative error 0.0577445897559689% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.028273092699128 Order of pole (three term test) 1.510476546084329 Radius of convergence (six term test) for eq 1 10.56694345008249 Order of pole (six term test) -0.7069612529589584 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 3.3225625121086964 y[1] (numeric) 3.3206446224700548 absolute error 0.00191788963864159 relative error 0.05772320706238219% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.038267874901186 Order of pole (three term test) 1.5104908875247487 Radius of convergence (six term test) for eq 1 10.584972872930067 Order of pole (six term test) -0.7068959042669274 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) 3.331144818679693 y[1] (numeric) 3.329222690307856 absolute error 0.0019221283718371396 relative error 0.05770173548320783% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.048262650899541 Order of pole (three term test) 1.5105052195883768 Radius of convergence (six term test) for eq 1 10.603004295569812 Order of pole (six term test) -0.7068305708090747 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) 3.339735598074814 y[1] (numeric) 3.3378092327002786 absolute error 0.001926365374535166 relative error 0.05768017610872001% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.0582574207022635 Order of pole (three term test) 1.5105195422758197 Radius of convergence (six term test) for eq 1 10.621037439876547 Order of pole (six term test) -0.7067652577463139 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) 3.3483348468458907 y[1] (numeric) 3.346404246193134 absolute error 0.001930600652756631 relative error 0.057658530017547206% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.068252184316002 Order of pole (three term test) 1.5105338555923524 Radius of convergence (six term test) for eq 1 10.639072228808631 Order of pole (six term test) -0.7066999665143605 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) 3.356942561556803 y[1] (numeric) 3.3550077273442738 absolute error 0.0019348342125291573 relative error 0.05763679827848666% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.078246941748494 Order of pole (three term test) 1.510548159539912 Radius of convergence (six term test) for eq 1 10.657109193451557 Order of pole (six term test) -0.706634687230137 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) 3.3655587387833563 y[1] (numeric) 3.3636196727235372 absolute error 0.0019390660598190834 relative error 0.057614981948585824% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.088241693007027 Order of pole (three term test) 1.5105624541217904 Radius of convergence (six term test) for eq 1 10.675147742093875 Order of pole (six term test) -0.7065694309242581 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) 3.3741833751132937 y[1] (numeric) 3.3722400789127027 absolute error 0.0019432962005909715 relative error 0.05759308207502866% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.098236438098761 Order of pole (three term test) 1.5105767393415264 Radius of convergence (six term test) for eq 1 10.693188160055218 Order of pole (six term test) -0.7065041923095965 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) 3.382816467146206 y[1] (numeric) 3.380868942505436 absolute error 0.001947524640770304 relative error 0.057571099694133404% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.108231177031239 Order of pole (three term test) 1.5105910152013364 Radius of convergence (six term test) for eq 1 10.71123035984339 Order of pole (six term test) -0.7064389730235856 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) 3.3914580114935156 y[1] (numeric) 3.38950626010724 absolute error 0.0019517513862754576 relative error 0.05754903583240749% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.118225909811743 Order of pole (three term test) 1.510605281704703 Radius of convergence (six term test) for eq 1 10.729274516707044 Order of pole (six term test) -0.7063737697662162 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) 3.4001080047783923 y[1] (numeric) 3.398152028335406 absolute error 0.0019559764429861737 relative error 0.057526891505720205% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.128220636447291 Order of pole (three term test) 1.5106195388556187 Radius of convergence (six term test) for eq 1 10.747320546427398 Order of pole (six term test) -0.706308584177938 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) 3.408766443635713 y[1] (numeric) 3.4068062438189632 absolute error 0.0019601998167497747 relative error 0.057504667719595066% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.138215356945854 Order of pole (three term test) 1.510633786655137 Radius of convergence (six term test) for eq 1 10.765368066325848 Order of pole (six term test) -0.7062434233426504 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) 3.4174333247120394 y[1] (numeric) 3.41546890319863 absolute error 0.0019644215134095866 relative error 0.057482365470147484% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.148210071314407 Order of pole (three term test) 1.51064802510719 Radius of convergence (six term test) for eq 1 10.783417633667087 Order of pole (six term test) -0.7061782769143683 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) 3.4261086446655327 y[1] (numeric) 3.424140003126764 absolute error 0.001968641538768523 relative error 0.05745998574311726% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.158204779560307 Order of pole (three term test) 1.5106622542149972 Radius of convergence (six term test) for eq 1 10.801468807462916 Order of pole (six term test) -0.7061131531093086 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) 3.4347924001659287 y[1] (numeric) 3.4328195402673156 absolute error 0.0019728598986130663 relative error 0.057437529514673465% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.168199481690864 Order of pole (three term test) 1.510676473981402 Radius of convergence (six term test) for eq 1 10.819522166511426 Order of pole (six term test) -0.7060480411958281 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) 3.4434845878944884 y[1] (numeric) 3.4415075112957774 absolute error 0.0019770765987110472 relative error 0.05741499775144708% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.178194177713364 Order of pole (three term test) 1.5106906844098675 Radius of convergence (six term test) for eq 1 10.837577137279846 Order of pole (six term test) -0.7059829518149208 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) 3.452185204543923 y[1] (numeric) 3.4502039128991373 absolute error 0.0019812916447858875 relative error 0.0573923914098821% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.188188867635122 Order of pole (three term test) 1.5107048855031024 Radius of convergence (six term test) for eq 1 10.855633970844716 Order of pole (six term test) -0.705917880338804 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) 3.460894246818391 y[1] (numeric) 3.45890874177583 absolute error 0.001985505042561009 relative error 0.05736971143762305% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.198183551463523 Order of pole (three term test) 1.5107190772639556 Radius of convergence (six term test) for eq 1 10.873692594408551 Order of pole (six term test) -0.7058528280700802 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) 3.469611711433412 y[1] (numeric) 3.4676219946356905 absolute error 0.0019897167977216412 relative error 0.057346958772502614% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.20817822920584 Order of pole (three term test) 1.5107332596957643 Radius of convergence (six term test) for eq 1 10.891753295395036 Order of pole (six term test) -0.705787789776382 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) 3.478337595115839 y[1] (numeric) 3.476343668199905 absolute error 0.001993926915933919 relative error 0.0573241343431909% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.218172900869094 Order of pole (three term test) 1.5107474328023922 Radius of convergence (six term test) for eq 1 10.909815410221075 Order of pole (six term test) -0.7057227776456063 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) 3.4870718946037975 y[1] (numeric) 3.485073759200966 absolute error 0.001998135402831558 relative error 0.05730123906890617% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.228167566461243 Order of pole (three term test) 1.51076159658467 Radius of convergence (six term test) for eq 1 10.927879513524964 Order of pole (six term test) -0.7056577811586102 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) 3.4958146066466718 y[1] (numeric) 3.4938122643826235 absolute error 0.0020023422640482735 relative error 0.05727827386043798% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.238162225988715 Order of pole (three term test) 1.5107757510484696 Radius of convergence (six term test) for eq 1 10.94594564399054 Order of pole (six term test) -0.7055927995855722 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) 3.504565728005005 y[1] (numeric) 3.5025591804998406 absolute error 0.002006547505164491 relative error 0.05725523961871105% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.248156879459874 Order of pole (three term test) 1.5107898961932174 Radius of convergence (six term test) for eq 1 10.964013401051844 Order of pole (six term test) -0.7055278402997338 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) 3.513325255450514 y[1] (numeric) 3.511314504318746 absolute error 0.0020107511317681848 relative error 0.05723213723661762% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.258151526881178 Order of pole (three term test) 1.5108040320250606 Radius of convergence (six term test) for eq 1 10.982082983892742 Order of pole (six term test) -0.7054628996522094 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) 3.5220931857659785 y[1] (numeric) 3.520078232616588 absolute error 0.002014953149390486 relative error 0.05720896759726923% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.268146168259952 Order of pole (three term test) 1.5108181585466358 Radius of convergence (six term test) for eq 1 11.000154533865755 Order of pole (six term test) -0.7053979750228585 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) 3.530869515745266 y[1] (numeric) 3.52885036218169 absolute error 0.0020191535635762925 relative error 0.05718573157609611% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.278140803603696 Order of pole (three term test) 1.5108322757601254 Radius of convergence (six term test) for eq 1 11.018228082106228 Order of pole (six term test) -0.705333065899513 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) 3.5396542421932224 y[1] (numeric) 3.537630889813403 absolute error 0.002023352379819432 relative error 0.05716243003909141% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.2881354329200905 Order of pole (three term test) 1.510846383667403 Radius of convergence (six term test) for eq 1 11.036303145454225 Order of pole (six term test) -0.7052681811542669 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) 3.5484473619256676 y[1] (numeric) 3.546419812322063 absolute error 0.002027549603604406 relative error 0.057139063844083564% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.2981300562156886 Order of pole (three term test) 1.510860482274113 Radius of convergence (six term test) for eq 1 11.05438020261715 Order of pole (six term test) -0.7052033119839969 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) 3.5572488717693282 y[1] (numeric) 3.5552171265289445 absolute error 0.002031745240383742 relative error 0.05711563384018108% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.308124673498076 Order of pole (three term test) 1.5108745715816942 Radius of convergence (six term test) for eq 1 11.072459153784193 Order of pole (six term test) -0.7051384602817041 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) 3.5660587685618204 y[1] (numeric) 3.5640228292662153 absolute error 0.0020359392956050826 relative error 0.05709214086861979% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.318119284774544 Order of pole (three term test) 1.5108886515937932 Radius of convergence (six term test) for eq 1 11.090539744673807 Order of pole (six term test) -0.7050736306500145 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) 3.574877049151567 y[1] (numeric) 3.5728369173768937 absolute error 0.002040131774673437 relative error 0.05706858576178517% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.328113890052585 Order of pole (three term test) 1.5109027223121398 Radius of convergence (six term test) for eq 1 11.108622385654437 Order of pole (six term test) -0.7050088156318779 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) 3.583703710397799 y[1] (numeric) 3.5816593877148035 absolute error 0.002044322682995592 relative error 0.05704496934454069% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.338108489339124 Order of pole (three term test) 1.5109167837410242 Radius of convergence (six term test) for eq 1 11.126706797017585 Order of pole (six term test) -0.7049440203264883 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) 3.592538749170455 y[1] (numeric) 3.59049023714453 absolute error 0.002048512025924598 relative error 0.057021292432757074% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.348103082641459 Order of pole (three term test) 1.5109308358834639 Radius of convergence (six term test) for eq 1 11.144793066328726 Order of pole (six term test) -0.704879243161459 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) 3.6013821623501983 y[1] (numeric) 3.599329462541377 absolute error 0.002052699808821057 relative error 0.05699755583510475% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.358097669966936 Order of pole (three term test) 1.510944878742194 Radius of convergence (six term test) for eq 1 11.16288115184102 Order of pole (six term test) -0.7048144849042366 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) 3.610233946828327 y[1] (numeric) 3.6081770607913226 absolute error 0.0020568860370042685 relative error 0.05697376035177139% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.368092251322914 Order of pole (three term test) 1.5109589123196026 Radius of convergence (six term test) for eq 1 11.180970946126097 Order of pole (six term test) -0.7047497475284885 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) 3.619094099506764 y[1] (numeric) 3.6170330287909755 absolute error 0.0020610707157886488 relative error 0.0569499067755532% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.378086826716228 Order of pole (three term test) 1.5109729366204767 Radius of convergence (six term test) for eq 1 11.199062767585554 Order of pole (six term test) -0.7046850252377279 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 3.627962617297989 y[1] (numeric) 3.6258973634475344 absolute error 0.0020652538504544182 relative error 0.05692599589111987% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.388081396154641 Order of pole (three term test) 1.5109869516457206 Radius of convergence (six term test) for eq 1 11.217156473186257 Order of pole (six term test) -0.7046203205888446 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 3.6368394971250098 y[1] (numeric) 3.6347700616787435 absolute error 0.0020694354462662545 relative error 0.05690202847560862% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.39807595964552 Order of pole (three term test) 1.5110009573983587 Radius of convergence (six term test) for eq 1 11.235251720040267 Order of pole (six term test) -0.7045556399637469 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 3.6457247359213163 y[1] (numeric) 3.6436511204128497 absolute error 0.002073615508466631 relative error 0.056878005298515895% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.408070517195373 Order of pole (three term test) 1.5110149538835802 Radius of convergence (six term test) for eq 1 11.253349169424373 Order of pole (six term test) -0.7044909711949803 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 3.6546183306308357 y[1] (numeric) 3.6525405365885617 absolute error 0.0020777940422740393 relative error 0.05685392712172448% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.4180650688119565 Order of pole (three term test) 1.511028941102657 Radius of convergence (six term test) for eq 1 11.271448421940777 Order of pole (six term test) -0.7044263216164488 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 3.663520278207894 y[1] (numeric) 3.661438307155007 absolute error 0.0020819710528869884 relative error 0.056829794699688095% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.428059614502298 Order of pole (three term test) 1.5110429190595127 Radius of convergence (six term test) for eq 1 11.289549427785888 Order of pole (six term test) -0.7043616921859073 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 3.6724305756171773 y[1] (numeric) 3.670344429071691 absolute error 0.0020861465454862227 relative error 0.05680560877956505% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.438054154273614 Order of pole (three term test) 1.511056887756842 Radius of convergence (six term test) for eq 1 11.307652299412032 Order of pole (six term test) -0.7042970808376499 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 3.681349219833699 y[1] (numeric) 3.6792588993084547 absolute error 0.0020903205252440493 relative error 0.0567813701015433% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.448048688133592 Order of pole (three term test) 1.51107084719663 Radius of convergence (six term test) for eq 1 11.325757197169665 Order of pole (six term test) -0.7042324846221071 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 3.690276207842704 y[1] (numeric) 3.688181714845434 absolute error 0.0020944929972697146 relative error 0.05675707939742898% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.458043216088914 Order of pole (three term test) 1.5110847973831916 Radius of convergence (six term test) for eq 1 11.343863749917986 Order of pole (six term test) -0.7041679103842124 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 3.699211536639716 y[1] (numeric) 3.6971128726730185 absolute error 0.002098663966697334 relative error 0.056732737393107156% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.468037738147068 Order of pole (three term test) 1.5110987383189456 Radius of convergence (six term test) for eq 1 11.361972166092963 Order of pole (six term test) -0.704103354237068 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 3.7081552032304437 y[1] (numeric) 3.7060523697918097 absolute error 0.002102833438633933 relative error 0.05670834480719691% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.4780322543154005 Order of pole (three term test) 1.5111126700065123 Radius of convergence (six term test) for eq 1 11.380082600751921 Order of pole (six term test) -0.7040388134739501 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 3.717107204630725 y[1] (numeric) 3.7150002032125826 absolute error 0.0021070014181425734 relative error 0.056683902350669294% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.488026764600646 Order of pole (three term test) 1.5111265924501063 Radius of convergence (six term test) for eq 1 11.398194730469825 Order of pole (six term test) -0.70397429393919 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 3.726067537866527 y[1] (numeric) 3.7239563699562432 absolute error 0.002111167910283651 relative error 0.056659410728031635% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.498021269010407 Order of pole (three term test) 1.5111405056519776 Radius of convergence (six term test) for eq 1 11.41630868670564 Order of pole (six term test) -0.7039097932313059 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 3.7350361999738766 y[1] (numeric) 3.7329208670537892 absolute error 0.002115332920087365 relative error 0.056634870636653% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.50801576755173 Order of pole (three term test) 1.5111544096151772 Radius of convergence (six term test) for eq 1 11.434424729802865 Order of pole (six term test) -0.7038453066461923 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 3.7440131879988563 y[1] (numeric) 3.74189369154627 absolute error 0.0021194964525861337 relative error 0.05661028276770005% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.518010260231975 Order of pole (three term test) 1.511168304342654 Radius of convergence (six term test) for eq 1 11.45254241692733 Order of pole (six term test) -0.7037808422903069 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 3.7529984989975027 y[1] (numeric) 3.750874840484747 absolute error 0.002123658512755533 relative error 0.05658564780462349% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.5280047470584455 Order of pole (three term test) 1.5111821898367395 Radius of convergence (six term test) for eq 1 11.470662052110242 Order of pole (six term test) -0.7037163945471043 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 3.7619921300358463 y[1] (numeric) 3.7598643109302547 absolute error 0.0021278191055915663 relative error 0.056560966425288385% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.537999228037897 Order of pole (three term test) 1.5111960661018546 Radius of convergence (six term test) for eq 1 11.488783600081218 Order of pole (six term test) -0.7036519641962169 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 3.7709940781898013 y[1] (numeric) 3.7688620999537594 absolute error 0.0021319782360418316 relative error 0.056536239300201976% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.547993703177913 Order of pole (three term test) 1.5112099331399724 Radius of convergence (six term test) for eq 1 11.50690711050702 Order of pole (six term test) -0.703587550177561 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 3.7800043405451795 y[1] (numeric) 3.777868204636123 absolute error 0.0021361359090565912 relative error 0.05651146709393731% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.55798817248588 Order of pole (three term test) 1.5112237909533486 Radius of convergence (six term test) for eq 1 11.525032090650383 Order of pole (six term test) -0.7035231616390227 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 3.7890229141975986 y[1] (numeric) 3.7868826220680614 absolute error 0.002140292129537258 relative error 0.056486650463830924% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.567982635968156 Order of pole (three term test) 1.5112376395475275 Radius of convergence (six term test) for eq 1 11.54315928216631 Order of pole (six term test) -0.7034587849788867 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 3.798049796252503 y[1] (numeric) 3.7959053493501074 absolute error 0.002144446902395458 relative error 0.05646179006160904% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.5779770936326605 Order of pole (three term test) 1.5112514789235312 Radius of convergence (six term test) for eq 1 11.561288226292266 Order of pole (six term test) -0.703394428612329 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 3.807084983825078 y[1] (numeric) 3.8049363835925725 absolute error 0.0021486002325055154 relative error 0.05643688653219294% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.587971545486423 Order of pole (three term test) 1.5112653090843222 Radius of convergence (six term test) for eq 1 11.579419049987825 Order of pole (six term test) -0.7033300901854069 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 3.816128474040241 y[1] (numeric) 3.8139757219155075 absolute error 0.002152752124733315 relative error 0.05641194051452195% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.597965991536838 Order of pole (three term test) 1.51127913003269 Radius of convergence (six term test) for eq 1 11.597551843490692 Order of pole (six term test) -0.7032657681006622 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 3.825180264032582 y[1] (numeric) 3.8230233614486657 absolute error 0.0021569025839163203 relative error 0.05638695264108861% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.60796043179052 Order of pole (three term test) 1.5112929417731398 Radius of convergence (six term test) for eq 1 11.615686444973631 Order of pole (six term test) -0.7032014653520928 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 3.8342403509463487 y[1] (numeric) 3.832079299331464 absolute error 0.00216105161488489 relative error 0.05636192353855725% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.617954866254848 Order of pole (three term test) 1.5113067443080532 Radius of convergence (six term test) for eq 1 11.633822913219431 Order of pole (six term test) -0.7031371808063778 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 3.8433087319353803 y[1] (numeric) 3.841143532712945 absolute error 0.002165199222435188 relative error 0.056336853827115146% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.627949294937209 Order of pole (three term test) 1.5113205376398051 Radius of convergence (six term test) for eq 1 11.651961066948216 Order of pole (six term test) -0.7030729178001849 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) 3.852385404163101 y[1] (numeric) 3.850216058751742 absolute error 0.002169345411358936 relative error 0.056311744121307836% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.6379437178449505 Order of pole (three term test) 1.5113343217706354 Radius of convergence (six term test) for eq 1 11.67010118053829 Order of pole (six term test) -0.7030086713723858 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) 3.8614703648024573 y[1] (numeric) 3.859296874616039 absolute error 0.0021734901864181033 relative error 0.05628659502943753% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.64793813498483 Order of pole (three term test) 1.5113480967049637 Radius of convergence (six term test) for eq 1 11.68824346872668 Order of pole (six term test) -0.702944437594466 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) 3.8705636110359087 y[1] (numeric) 3.868385977483535 absolute error 0.00217763355237377 relative error 0.05626140715436926% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.657932546363946 Order of pole (three term test) 1.5113618624458873 Radius of convergence (six term test) for eq 1 11.706387355448248 Order of pole (six term test) -0.702880226985279 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) 3.879665140055348 y[1] (numeric) 3.8774833645414066 absolute error 0.0021817755139412753 relative error 0.0562361810924267% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.667926951989938 Order of pole (three term test) 1.5113756189951197 Radius of convergence (six term test) for eq 1 11.724533286817552 Order of pole (six term test) -0.7028160314312011 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) 3.8887749490621104 y[1] (numeric) 3.8865890329862727 absolute error 0.002185916075837735 relative error 0.05621091743467776% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.677921351869499 Order of pole (three term test) 1.5113893663567641 Radius of convergence (six term test) for eq 1 11.742680986790088 Order of pole (six term test) -0.7027518559422905 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) 3.897893035266925 y[1] (numeric) 3.8957029800241565 absolute error 0.002190055242768718 relative error 0.056185616766642354% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.687915746009901 Order of pole (three term test) 1.5114031045336107 Radius of convergence (six term test) for eq 1 11.760830560055567 Order of pole (six term test) -0.702687698668564 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) 3.907019395889847 y[1] (numeric) 3.9048252028704495 absolute error 0.0021941930193976056 relative error 0.05616027966756139% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.697910134418599 Order of pole (three term test) 1.5114168335275338 Radius of convergence (six term test) for eq 1 11.778982012098139 Order of pole (six term test) -0.7026235594597026 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) 3.916154028160264 y[1] (numeric) 3.9139556987498767 absolute error 0.002198329410387334 relative error 0.056134906711523505% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.707904517102437 Order of pole (three term test) 1.5114305533424839 Radius of convergence (six term test) for eq 1 11.797135451597672 Order of pole (six term test) -0.7025594363882188 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) 3.9252969293168327 y[1] (numeric) 3.9230944648964594 absolute error 0.002202464420373307 relative error 0.05610949846682372% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.717898894068441 Order of pole (three term test) 1.5114442639817471 Radius of convergence (six term test) for eq 1 11.815290749132194 Order of pole (six term test) -0.7024953318248315 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 3.934448096607465 y[1] (numeric) 3.93224149855348 absolute error 0.0022065980539847097 relative error 0.05608405549656077% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.727893265324316 Order of pole (three term test) 1.5114579654469904 Radius of convergence (six term test) for eq 1 11.833447796222485 Order of pole (six term test) -0.7024312477377936 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 3.9436075272892737 y[1] (numeric) 3.941396796973447 absolute error 0.0022107303158267477 relative error 0.056058578358235925% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.737887630876414 Order of pole (three term test) 1.5114716577428862 Radius of convergence (six term test) for eq 1 11.851606859094275 Order of pole (six term test) -0.702367179308446 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 3.9527752186285348 y[1] (numeric) 3.9505603574180586 absolute error 0.0022148612104762044 relative error 0.05603306760369436% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.747881990732188 Order of pole (three term test) 1.5114853408720132 Radius of convergence (six term test) for eq 1 11.869767668385318 Order of pole (six term test) -0.7023031314247543 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 3.961951167900679 y[1] (numeric) 3.9597321771581693 absolute error 0.002218990742509863 relative error 0.05600752377989658% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.757876344899404 Order of pole (three term test) 1.511499014835146 Radius of convergence (six term test) for eq 1 11.887930799725144 Order of pole (six term test) -0.7022390936359333 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 3.9711353723902363 y[1] (numeric) 3.9689122534737535 absolute error 0.002223118916482747 relative error 0.05598194742841633% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.767870693384508 Order of pole (three term test) 1.5115126796371978 Radius of convergence (six term test) for eq 1 11.906095238122806 Order of pole (six term test) -0.702175084398732 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 3.980327829390802 y[1] (numeric) 3.9781005836538714 absolute error 0.002227245736930783 relative error 0.05595633908555889% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.777865036194537 Order of pole (three term test) 1.5115263352816626 Radius of convergence (six term test) for eq 1 11.924261816730171 Order of pole (six term test) -0.7021110886235302 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 3.989528536204997 y[1] (numeric) 3.987297164996634 absolute error 0.002231371208362809 relative error 0.05593069928221094% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.7878593733371195 Order of pole (three term test) 1.5115399817698538 Radius of convergence (six term test) for eq 1 11.942430195102215 Order of pole (six term test) -0.7020471124242071 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 3.998737490144457 y[1] (numeric) 3.996501994809169 absolute error 0.0022354953352876628 relative error 0.05590502854456955% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.797853704818771 Order of pole (three term test) 1.51155361910652 Radius of convergence (six term test) for eq 1 11.960600723090788 Order of pole (six term test) -0.7019831495772575 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 4.007954688529779 y[1] (numeric) 4.005715070407588 absolute error 0.0022396181221910894 relative error 0.05587932739360981% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.807848030647355 Order of pole (three term test) 1.5115672472923805 Radius of convergence (six term test) for eq 1 11.978773100976223 Order of pole (six term test) -0.7019192053958463 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 4.017180128690477 y[1] (numeric) 4.014936389116949 absolute error 0.0022437395735277477 relative error 0.05585359634493571% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.817842350829232 Order of pole (three term test) 1.5115808663326973 Radius of convergence (six term test) for eq 1 11.996947173566499 Order of pole (six term test) -0.7018552828156732 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 4.026413807964982 y[1] (numeric) 4.024165948271228 absolute error 0.002247859693754073 relative error 0.055827835909647336% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.827836665371917 Order of pole (three term test) 1.5115944762290368 Radius of convergence (six term test) for eq 1 12.015123149378855 Order of pole (six term test) -0.7017913780277585 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 4.035655723700586 y[1] (numeric) 4.0334037452132785 absolute error 0.0022519784873074045 relative error 0.05580204659386559% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.837830974282489 Order of pole (three term test) 1.5116080769846305 Radius of convergence (six term test) for eq 1 12.033301214339065 Order of pole (six term test) -0.7017274876246908 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 4.044905873253395 y[1] (numeric) 4.042649777294804 absolute error 0.002256095958591331 relative error 0.05577622889841711% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.847825277568202 Order of pole (three term test) 1.511621668601967 Radius of convergence (six term test) for eq 1 12.05148114938209 Order of pole (six term test) -0.7016636156844704 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 4.054164253988343 y[1] (numeric) 4.0519040418763215 absolute error 0.0022602121120218754 relative error 0.05575038332002357% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.857819575235736 Order of pole (three term test) 1.5116352510851052 Radius of convergence (six term test) for eq 1 12.069662643801394 Order of pole (six term test) -0.7015997677575267 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 4.063430863279105 y[1] (numeric) 4.06116653632713 absolute error 0.002264326951975093 relative error 0.05572451035005005% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.8678138672925035 Order of pole (three term test) 1.5116488244363961 Radius of convergence (six term test) for eq 1 12.087846377228233 Order of pole (six term test) -0.7015359316074168 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 4.072705698508084 y[1] (numeric) 4.070437258025277 absolute error 0.002268440482807499 relative error 0.05569861047505778% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.87780815374531 Order of pole (three term test) 1.5116623886591563 Radius of convergence (six term test) for eq 1 12.106031812983288 Order of pole (six term test) -0.7014721169080396 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 4.081988757066416 y[1] (numeric) 4.079716204357523 absolute error 0.0022725527088924835 relative error 0.055672684177741065% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.8878024346020466 Order of pole (three term test) 1.5116759437541964 Radius of convergence (six term test) for eq 1 12.124219436449167 Order of pole (six term test) -0.7014083149145609 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 4.091280036353854 y[1] (numeric) 4.089003372719316 absolute error 0.0022766636345386004 relative error 0.0556467319349658% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.897796709868642 Order of pole (three term test) 1.5116894897278454 Radius of convergence (six term test) for eq 1 12.142408777052196 Order of pole (six term test) -0.7013445341462923 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 4.100579533778834 y[1] (numeric) 4.09829876051475 absolute error 0.0022807732640846012 relative error 0.05562075422014276% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.907790979553353 Order of pole (three term test) 1.511703026579747 Radius of convergence (six term test) for eq 1 12.160600027365998 Order of pole (six term test) -0.7012807711587019 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 4.109887246758362 y[1] (numeric) 4.107602365156539 absolute error 0.0022848816018230522 relative error 0.05559475150140026% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.917785243662201 Order of pole (three term test) 1.5117165543159066 Radius of convergence (six term test) for eq 1 12.178793207840524 Order of pole (six term test) -0.7012170255713261 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 4.1192031727180165 y[1] (numeric) 4.116914184065984 absolute error 0.002288988652032309 relative error 0.055568724242410744% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.9277795022027755 Order of pole (three term test) 1.5117300729374161 Radius of convergence (six term test) for eq 1 12.196988213797853 Order of pole (six term test) -0.7011532992527858 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 4.128527309091936 y[1] (numeric) 4.126234214672939 absolute error 0.0022930944189969438 relative error 0.055542672902926894% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.937773755182346 Order of pole (three term test) 1.5117435824472305 Radius of convergence (six term test) for eq 1 12.215185423107346 Order of pole (six term test) -0.7010895854164723 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 4.137859653322739 y[1] (numeric) 4.135562454415782 absolute error 0.002297198906957121 relative error 0.055516597937594364% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.947768002607406 Order of pole (three term test) 1.5117570828494618 Radius of convergence (six term test) for eq 1 12.23338421322388 Order of pole (six term test) -0.7010258953314814 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 4.147200202861544 y[1] (numeric) 4.144898900741379 absolute error 0.0023013021201654382 relative error 0.0554904997973706% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.9577622444853775 Order of pole (three term test) 1.5117705741464003 Radius of convergence (six term test) for eq 1 12.251584974228917 Order of pole (six term test) -0.7009622219475773 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 4.156548955167892 y[1] (numeric) 4.154243551105058 absolute error 0.0023054040628345263 relative error 0.055464378928297885% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.967756480823791 Order of pole (three term test) 1.5117840563392881 Radius of convergence (six term test) for eq 1 12.269787747661688 Order of pole (six term test) -0.7008985645407808 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 4.16590590770975 y[1] (numeric) 4.1635964029705725 absolute error 0.002309504739177015 relative error 0.05543823577250907% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.977750711628716 Order of pole (three term test) 1.511797529434129 Radius of convergence (six term test) for eq 1 12.287992395140733 Order of pole (six term test) -0.7008349256067437 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 4.175271057963453 y[1] (numeric) 4.172957453810076 absolute error 0.0023136041533771134 relative error 0.055412070767582845% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.9877449369082925 Order of pole (three term test) 1.5118109934309274 Radius of convergence (six term test) for eq 1 12.306198905542402 Order of pole (six term test) -0.7007713053316866 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 4.184644403413699 y[1] (numeric) 4.182326701104086 absolute error 0.0023177023096137006 relative error 0.05538588434713815% Correct digits 4 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 6.997739156668737 Order of pole (three term test) 1.5118244483345284 Radius of convergence (six term test) for eq 1 12.324407351680641 Order of pole (six term test) -0.7007077024574144 Finished! diff ( y , x , 1 ) = sinh(sqrt(0.1 * x + 0.2)); Iterations 491 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 10 Minutes 0.0 Seconds Percent Done 100.40816326530484%