##############ECHO OF PROBLEM################# ##############temp/mtest6postode.ode################# diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; ! // BEGIN FIRST INPUT BLOCK Digits=64; max_terms=40; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK t_start=c(1.5); t_end=c(8.0); array_x1_init[0 + 1] = exact_soln_x1(t_start); array_x2_init[0 + 1] = exact_soln_x2(t_start); array_x2_init[1 + 1] = exact_soln_x2p(t_start); glob_look_poles=true; glob_max_h=c(0.0001); glob_type_given_pole=0; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=false; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_x1 (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return(c(2.0) * c1 + c(6.0) * c3 * exp(neg(c(t)))); } double exact_soln_x1p (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return( c(-6.0) * c3 * exp(neg( c(t)))); } double exact_soln_x2 (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return(c1 + c2 * exp(c(2.0) * c(t)) + c3 * exp(neg( c(t)))); } double exact_soln_x2p (double t) { double c1,c2,c3; c1 = c(1.0); c2 = c(0.0002); c3 = c(0.0003); return( c(2.0) * c2 * exp(c(2.0) * c(t)) - c3 * exp(neg(c(t)))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop t[1] = 1.5 x1[1] (closed_form) = 2.000401634288267 x1[1] (numeric) = 2.000401634288267 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 x2[1] (closed_form) = 1.004084046432682 x2[1] (numeric) = 1.004084046432682 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.509999999999999 x1[1] (closed_form) = 2.000397637960327 x1[1] (numeric) = 2.000397597796564 absolute error = 4.016376298210389e-08 relative error = 2.007788962551277e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = 0.001 x2[1] (closed_form) = 1.004164531330226 x2[1] (numeric) = 1.00416455168121 absolute error = 2.035098378705413e-08 relative error = 2.026658296733006e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.519999999999998 x1[1] (closed_form) = 2.000393681396514 x1[1] (numeric) = 2.000393520737445 absolute error = 1.606590696034971e-07 relative error = 8.031372579188403e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = 0.001 x2[1] (closed_form) = 1.004246662213104 x2[1] (numeric) = 1.004246744706325 absolute error = 8.249322092090949e-08 relative error = 8.21443814800593e-06 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 8 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.529999999999997 x1[1] (closed_form) = 2.000389764201169 x1[1] (numeric) = 2.000389402703199 absolute error = 3.614979697807996e-07 relative error = 1.8071376701188e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 x2[1] (closed_form) = 1.0043304721326 x2[1] (numeric) = 1.004330660221087 absolute error = 1.880884870075761e-07 relative error = 1.872774870687615e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.539999999999996 x1[1] (closed_form) = 2.000385885982569 x1[1] (numeric) = 2.000385243282021 absolute error = 6.42700547448527e-07 relative error = 3.212882834017994e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 x2[1] (closed_form) = 1.004415994809668 x2[1] (numeric) = 1.004416333646013 absolute error = 3.388363454259746e-07 relative error = 3.37346624483198e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.549999999999994 x1[1] (closed_form) = 2.000382046352888 x1[1] (numeric) = 2.000381042057966 absolute error = 1.004294921891358e-06 relative error = 5.020515574624337e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 x2[1] (closed_form) = 1.004503264648436 x2[1] (numeric) = 1.004503801123433 absolute error = 5.364749962044613e-07 relative error = 5.340699379331742e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.559999999999993 x1[1] (closed_form) = 2.000378244928161 x1[1] (numeric) = 2.000376798610908 absolute error = 1.446317253517293e-06 relative error = 7.230218870777781e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 x2[1] (closed_form) = 1.004592316749995 x2[1] (numeric) = 1.004593099532133 absolute error = 7.827821375538946e-07 relative error = 7.792037869514179e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.569999999999992 x1[1] (closed_form) = 2.000374481328242 x1[1] (numeric) = 2.000372512516496 absolute error = 1.968811746078103e-06 relative error = 9.842215867355086e-05 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 7 h = 0.001 x2[1] (closed_form) = 1.004683186926451 x2[1] (numeric) = 1.004684266502299 absolute error = 1.079575847162673e-06 relative error = 0.0001074543558816122 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.579999999999991 x1[1] (closed_form) = 2.000370755176769 x1[1] (numeric) = 2.00036818334612 absolute error = 2.571830648445683e-06 relative error = 0.0001285676988523268 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.004775911715275 x2[1] (numeric) = 1.004777340430756 absolute error = 1.428715481255338e-06 relative error = 0.0001421924495399523 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.58999999999999 x1[1] (closed_form) = 2.000367066101122 x1[1] (numeric) = 2.000363810666859 absolute error = 3.25543426304975e-06 relative error = 0.0001627418446452859 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.004870528393933 x2[1] (numeric) = 1.004872360496526 absolute error = 1.832102592969065e-06 relative error = 0.0001823222535839799 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.599999999999989 x1[1] (closed_form) = 2.00036341373239 x1[1] (numeric) = 2.000359394041439 absolute error = 4.019690950762822e-06 relative error = 0.000200948033900633 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.00496707499482 x2[1] (numeric) = 1.004969366676689 absolute error = 2.291681868715756e-06 relative error = 0.0002280355173553888 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.609999999999988 x1[1] (closed_form) = 2.000359797705335 x1[1] (numeric) = 2.000354933028198 absolute error = 4.864677137561557e-06 relative error = 0.0002431901072568023 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.00506559032049 x2[1] (numeric) = 1.005068399762574 absolute error = 2.809442084306113e-06 relative error = 0.00027952823291963 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.619999999999987 x1[1] (closed_form) = 2.00035621765835 x1[1] (numeric) = 2.000350427181027 absolute error = 5.790477323852627e-06 relative error = 0.0002894723086186646 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005166113959195 x2[1] (numeric) = 1.005169501376277 absolute error = 3.387417081945898e-06 relative error = 0.0003370007240498172 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.629999999999986 x1[1] (closed_form) = 2.000352673233428 x1[1] (numeric) = 2.000345876049339 absolute error = 6.7971840893577e-06 relative error = 0.0003397992854115336 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005268686300742 x2[1] (numeric) = 1.005272713987507 absolute error = 4.027686764995764e-06 relative error = 0.0004006577365716153 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.639999999999985 x1[1] (closed_form) = 2.000349164076124 x1[1] (numeric) = 2.000341279178018 absolute error = 7.884898105547933e-06 relative error = 0.0003941760892123867 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005373348552662 x2[1] (numeric) = 1.005378080930778 absolute error = 4.732378116045766e-06 relative error = 0.0004707085306029357 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.649999999999983 x1[1] (closed_form) = 2.000345689835517 x1[1] (numeric) = 2.000336636107372 absolute error = 9.053728145413942e-06 relative error = 0.0004526081762476966 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005480142756717 x2[1] (numeric) = 1.005485646422951 absolute error = 5.503666233641624e-06 relative error = 0.0005473669742052054 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.659999999999982 x1[1] (closed_form) = 2.000342250164183 x1[1] (numeric) = 2.000331946373089 absolute error = 1.030379109323576e-05 relative error = 0.0005151014078910773 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005589111805734 x2[1] (numeric) = 1.005595455581126 absolute error = 6.343775392769757e-06 relative error = 0.0006308516389341424 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.669999999999981 x1[1] (closed_form) = 2.00033884471815 x1[1] (numeric) = 2.000327209506194 absolute error = 1.163521195568507e-05 relative error = 0.00058166205122735 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005700299460773 x2[1] (numeric) = 1.0057075544409 absolute error = 7.254980126880639e-06 relative error = 0.0007213858970481112 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.67999999999998 x1[1] (closed_form) = 2.000335473156871 x1[1] (numeric) = 2.000322425032996 absolute error = 1.304812387514787e-05 relative error = 0.0006522967797274374 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.00581375036866 x2[1] (numeric) = 1.005821989974989 absolute error = 8.239606328785953e-06 relative error = 0.0008191980200873071 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.689999999999979 x1[1] (closed_form) = 2.000332135143188 x1[1] (numeric) = 2.000317592475041 absolute error = 1.454266814615579e-05 relative error = 0.0007270126740784874 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.005929510079856 x2[1] (numeric) = 1.005938810112235 absolute error = 9.300032379755407e-06 relative error = 0.0009245212797283506 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.699999999999978 x1[1] (closed_form) = 2.000328830343295 x1[1] (numeric) = 2.000312711349073 absolute error = 1.611899422204743e-05 relative error = 0.0008058172225254136 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.006047625066695 x2[1] (numeric) = 1.006058063756994 absolute error = 1.043869029904165e-05 relative error = 0.00103759405011762 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.709999999999977 x1[1] (closed_form) = 2.000325558426711 x1[1] (numeric) = 2.000307781166972 absolute error = 1.777725973850508e-05 relative error = 0.0008887183220558952 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.006168142741995 x2[1] (numeric) = 1.00617980080891 absolute error = 1.165806691560967e-05 relative error = 0.001158659911835339 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.719999999999976 x1[1] (closed_form) = 2.000322319066241 x1[1] (numeric) = 2.000302801435718 absolute error = 1.951763052288058e-05 relative error = 0.0009757242788747914 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 6 h = 0.001 x2[1] (closed_form) = 1.006291111478035 x2[1] (numeric) = 1.006304072183103 absolute error = 1.296070506806579e-05 relative error = 0.001287967758060506 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.729999999999975 x1[1] (closed_form) = 2.000319111937946 x1[1] (numeric) = 2.000297771657332 absolute error = 2.134028061329118e-05 relative error = 0.001066843809366813 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.006416580625924 x2[1] (numeric) = 1.006430929830751 absolute error = 1.434920482679125e-05 relative error = 0.001425771902313752 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.739999999999974 x1[1] (closed_form) = 2.000315936721111 x1[1] (numeric) = 2.000292691328834 absolute error = 2.324539227638311e-05 relative error = 0.001162086040992436 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.006544600535357 x2[1] (numeric) = 1.0065604267601 absolute error = 1.582622474227691e-05 relative error = 0.001572332188147382 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.749999999999972 x1[1] (closed_form) = 2.000312793098211 x1[1] (numeric) = 2.000287559942186 absolute error = 2.523315602509513e-05 relative error = 0.001261460513183662 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.006675222574773 x2[1] (numeric) = 1.00669261705789 absolute error = 1.739448311699476e-05 relative error = 0.001727914100488626 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.759999999999971 x1[1] (closed_form) = 2.000309680754881 x1[1] (numeric) = 2.000282376984244 absolute error = 2.730377063775435e-05 relative error = 0.001364977178306231 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.006808499151916 x2[1] (numeric) = 1.006827555911225 absolute error = 1.905675930835571e-05 relative error = 0.001892788879355721 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.76999999999997 x1[1] (closed_form) = 2.000306599379886 x1[1] (numeric) = 2.000277141936708 absolute error = 2.945744317761623e-05 relative error = 0.00147264640264389 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.006944483734819 x2[1] (numeric) = 1.006965299629872 absolute error = 2.081589505298354e-05 relative error = 0.002067233634944412 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.779999999999969 x1[1] (closed_form) = 2.000303548665083 x1[1] (numeric) = 2.000271854276071 absolute error = 3.16943890124044e-05 relative error = 0.001584478967382519 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.007083230873202 x2[1] (numeric) = 1.007105905669025 absolute error = 2.267479582340748e-05 relative error = 0.002251531465154779 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.789999999999968 x1[1] (closed_form) = 2.000300528305401 x1[1] (numeric) = 2.00026651347356 absolute error = 3.401483184095611e-05 relative error = 0.001700486069949326 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.007224796220312 x2[1] (numeric) = 1.007249432652521 absolute error = 2.46364322094017e-05 relative error = 0.002445971574751912 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.799999999999967 x1[1] (closed_form) = 2.000297537998799 x1[1] (numeric) = 2.000261118995092 absolute error = 3.641900370743301e-05 relative error = 0.001820679324730283 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.007369236555202 x2[1] (numeric) = 1.00739594039653 absolute error = 2.670384132796855e-05 relative error = 0.002650849396521673 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.809999999999966 x1[1] (closed_form) = 2.000294577446245 x1[1] (numeric) = 2.000255670301214 absolute error = 3.890714503063109e-05 relative error = 0.001945070764542262 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.007516609805451 x2[1] (numeric) = 1.007545489933717 absolute error = 2.888012826574027e-05 relative error = 0.002866466714758871 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.819999999999965 x1[1] (closed_form) = 2.000291646351681 x1[1] (numeric) = 2.000250166847052 absolute error = 4.147950462840555e-05 relative error = 0.002073672841860823 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.00766697507036 x2[1] (numeric) = 1.007698143537906 absolute error = 3.116846754669389e-05 relative error = 0.003093131790343489 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.829999999999964 x1[1] (closed_form) = 2.000288744421995 x1[1] (numeric) = 2.000244608082256 absolute error = 4.413633973898712e-05 relative error = 0.002206498429892469 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.007820392644598 x2[1] (numeric) = 1.007853964749233 absolute error = 3.3572104634505e-05 relative error = 0.00333115948829029 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.839999999999963 x1[1] (closed_form) = 2.000285871366993 x1[1] (numeric) = 2.000238993450946 absolute error = 4.68779160462951e-05 relative error = 0.002343560823846583 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.007976924042346 x2[1] (numeric) = 1.008013018399807 absolute error = 3.60943574606587e-05 relative error = 0.003580871406848034 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.849999999999961 x1[1] (closed_form) = 2.000283026899365 x1[1] (numeric) = 2.000233322391653 absolute error = 4.970450771146773e-05 relative error = 0.002484873742518058 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.008136632021907 x2[1] (numeric) = 1.008175370639899 absolute error = 3.873861799186251e-05 relative error = 0.00384259600944852 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.85999999999996 x1[1] (closed_form) = 2.000280210734662 x1[1] (numeric) = 2.000227594337266 absolute error = 5.261639739595481e-05 relative error = 0.002630451329447981 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.008299580610832 x2[1] (numeric) = 1.008341088964653 absolute error = 4.150835382077389e-05 relative error = 0.004116668757873326 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.869999999999959 x1[1] (closed_form) = 2.000277422591267 x1[1] (numeric) = 2.000221808714976 absolute error = 5.561387629171577e-05 relative error = 0.002780308154439425 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.008465835131543 x2[1] (numeric) = 1.008510242241339 absolute error = 4.440710979625173e-05 relative error = 0.004403432248199 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.879999999999958 x1[1] (closed_form) = 2.000274662190362 x1[1] (numeric) = 2.000215964946214 absolute error = 5.869724414786504e-05 relative error = 0.002934459214895506 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.008635462227479 x2[1] (numeric) = 1.008682900737164 absolute error = 4.743850968513819e-05 relative error = 0.004703236348677905 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.889999999999957 x1[1] (closed_form) = 2.000271929255906 x1[1] (numeric) = 2.000210062446601 absolute error = 6.186680930486688e-05 relative error = 0.003092919937534749 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.008808529889765 x2[1] (numeric) = 1.008859136147632 absolute error = 5.060625786668105e-05 relative error = 0.005016438339613456 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.899999999999956 x1[1] (closed_form) = 2.000269223514601 x1[1] (numeric) = 2.00020410062588 absolute error = 6.512288872073668e-05 relative error = 0.00325570617970673 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.008985107484426 x2[1] (numeric) = 1.009039021625493 absolute error = 5.39141410671462e-05 relative error = 0.005343403055924528 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.909999999999955 x1[1] (closed_form) = 2.000266544695872 x1[1] (numeric) = 2.000198078887864 absolute error = 6.846580800745627e-05 relative error = 0.003422834231218224 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.009165265780148 x2[1] (numeric) = 1.009222631810268 absolute error = 5.736603012063135e-05 relative error = 0.005684503030956366 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.919999999999954 x1[1] (closed_form) = 2.000263892531835 x1[1] (numeric) = 2.000191996630377 absolute error = 7.189590145806335e-05 relative error = 0.003594320815693028 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.009349076976596 x2[1] (numeric) = 1.009410042858374 absolute error = 6.096588177828544e-05 relative error = 0.006040118643680997 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.929999999999953 x1[1] (closed_form) = 2.000261266757271 x1[1] (numeric) = 2.000185853245183 absolute error = 7.541351208706359e-05 relative error = 0.00377018309259772 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.009536614733315 x2[1] (numeric) = 1.00960133247386 absolute error = 6.471774054483959e-05 relative error = 0.006410638267135641 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.939999999999952 x1[1] (closed_form) = 2.0002586671096 x1[1] (numeric) = 2.000179648117943 absolute error = 7.901899165707604e-05 relative error = 0.003950438658579069 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.009727954199201 x2[1] (numeric) = 1.009796579939759 absolute error = 6.86257405577706e-05 relative error = 0.006796458419554853 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.94999999999995 x1[1] (closed_form) = 2.000256093328856 x1[1] (numeric) = 2.000173380628137 absolute error = 8.271270071835701e-05 relative error = 0.004135105549445187 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.009923172042581 x2[1] (numeric) = 1.009995866150087 absolute error = 7.269410750576633e-05 relative error = 0.007197983917800566 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.959999999999949 x1[1] (closed_form) = 2.000253545157658 x1[1] (numeric) = 2.000167050149012 absolute error = 8.64950086461036e-05 relative error = 0.004324202242035579 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.010122346481888 x2[1] (numeric) = 1.010199273642471 absolute error = 7.692716058227411e-05 relative error = 0.007615628032604209 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.969999999999948 x1[1] (closed_form) = 2.000251022341187 x1[1] (numeric) = 2.000160656047513 absolute error = 9.036629367376037e-05 relative error = 0.004517747655891281 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.010325557316969 x2[1] (numeric) = 1.010406886631455 absolute error = 8.132931448656677e-05 relative error = 0.008049812646781476 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.979999999999947 x1[1] (closed_form) = 2.00024852462716 x1[1] (numeric) = 2.000154197684227 absolute error = 9.432694293298738e-05 relative error = 0.004715761155257927 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.010532885961012 x2[1] (numeric) = 1.010618791042469 absolute error = 8.590508145744913e-05 relative error = 0.008500968414872892 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.989999999999946 x1[1] (closed_form) = 2.000246051765802 x1[1] (numeric) = 2.000147674413309 absolute error = 9.837735249274004e-05 relative error = 0.004918262551044321 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.010744415473131 x2[1] (numeric) = 1.010835074546488 absolute error = 9.065907335692458e-05 relative error = 0.008969534925848387 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 1.999999999999945 x1[1] (closed_form) = 2.000243603509826 x1[1] (numeric) = 2.00014108558243 absolute error = 0.0001025179273961285 relative error = 0.005125272102669915 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.010960230591599 x2[1] (numeric) = 1.011055826595389 absolute error = 9.559600379049904e-05 relative error = 0.009455960867477221 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.009999999999944 x1[1] (closed_form) = 2.000241179614404 x1[1] (numeric) = 2.000134430532699 absolute error = 0.0001067490817048267 relative error = 0.005336810520289619 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.011180417767759 x2[1] (numeric) = 1.011281138458035 absolute error = 0.0001007206902761126 relative error = 0.009960704193467234 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.019999999999943 x1[1] (closed_form) = 2.000238779837144 x1[1] (numeric) = 2.000127708598606 absolute error = 0.0001110712385381518 relative error = 0.005552898966752111 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.011405065200617 x2[1] (numeric) = 1.011511103257071 absolute error = 0.0001060380564541497 relative error = 0.01048423229254014 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.029999999999942 x1[1] (closed_form) = 2.000236403938067 x1[1] (numeric) = 2.000120919107952 absolute error = 0.0001154848301148093 relative error = 0.005773559059691276 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.011634262872135 x2[1] (numeric) = 1.01174581600648 absolute error = 0.000111553134344744 relative error = 0.01102702215996847 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.039999999999941 x1[1] (closed_form) = 2.000234051679581 x1[1] (numeric) = 2.000114061381784 absolute error = 0.0001199902977977452 relative error = 0.005998812873772959 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.011868102583239 x2[1] (numeric) = 1.011985373649888 absolute error = 0.0001172710666499377 relative error = 0.01158956057123964 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.049999999999939 x1[1] (closed_form) = 2.000231722826458 x1[1] (numeric) = 2.00010713473432 absolute error = 0.0001245880921376674 relative error = 0.006228682942875053 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.012106677990547 x2[1] (numeric) = 1.012229875099655 absolute error = 0.0001231971091073536 relative error = 0.01217234425840872 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.059999999999938 x1[1] (closed_form) = 2.000229417145811 x1[1] (numeric) = 2.000100138472894 absolute error = 0.0001292786729170103 relative error = 0.006463192262289696 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.012350084643853 x2[1] (numeric) = 1.012479421276739 absolute error = 0.0001293366328862788 relative error = 0.01277588008813965 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.069999999999937 x1[1] (closed_form) = 2.000227134407069 x1[1] (numeric) = 2.000093071897871 absolute error = 0.0001340625091983405 relative error = 0.00670236429114741 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.01259842002435 x2[1] (numeric) = 1.012734115151389 absolute error = 0.0001356951270383711 relative error = 0.0134006852425375 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.079999999999936 x1[1] (closed_form) = 2.000224874381957 x1[1] (numeric) = 2.000085934302588 absolute error = 0.0001389400793692097 relative error = 0.006946222954663551 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.012851783583645 x2[1] (numeric) = 1.012994061784641 absolute error = 0.0001422782009954382 relative error = 0.01404728740191711 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.089999999999935 x1[1] (closed_form) = 2.000222636844471 x1[1] (numeric) = 2.000078724973279 absolute error = 0.000143911871191893 relative error = 0.007194792646628913 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.013110276783545 x2[1] (numeric) = 1.013259368370666 absolute error = 0.0001490915871202869 relative error = 0.01471622492998764 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.099999999999934 x1[1] (closed_form) = 2.000220421570855 x1[1] (numeric) = 2.000071443189007 absolute error = 0.0001489783818486856 relative error = 0.007448098231678225 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.013374003136659 x2[1] (numeric) = 1.01353014427997 absolute error = 0.0001561411433104176 relative error = 0.01540804706131396 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.109999999999933 x1[1] (closed_form) = 2.00021822833958 x1[1] (numeric) = 2.000064088221586 absolute error = 0.0001541401179938617 relative error = 0.007706165047891621 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.013643068247812 x2[1] (numeric) = 1.013806501103466 absolute error = 0.0001634328556534559 relative error = 0.01612331409082357 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.119999999999932 x1[1] (closed_form) = 2.000216056931321 x1[1] (numeric) = 2.000056659335514 absolute error = 0.0001593975958069649 relative error = 0.007969018909462637 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.013917579856302 x2[1] (numeric) = 1.014088552697441 absolute error = 0.0001709728411385392 relative error = 0.0168625975656493 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.129999999999931 x1[1] (closed_form) = 2.000213907128934 x1[1] (numeric) = 2.000049155787895 absolute error = 0.0001647513410389934 relative error = 0.008236686109010913 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.014197647879009 x2[1] (numeric) = 1.014376415229432 absolute error = 0.0001787673504234366 relative error = 0.0176264804791544 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.13999999999993 x1[1] (closed_form) = 2.000211778717439 x1[1] (numeric) = 2.000041576828369 absolute error = 0.0001702018890705759 relative error = 0.008509193420494277 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.014483384454369 x2[1] (numeric) = 1.014670207225028 absolute error = 0.0001868227706580683 relative error = 0.01841555746706973 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.149999999999928 x1[1] (closed_form) = 2.000209671483992 x1[1] (numeric) = 2.000033921699033 absolute error = 0.0001757497849594891 relative error = 0.008786568101587925 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.014774903987249 x2[1] (numeric) = 1.014970049615616 absolute error = 0.0001951456283673103 relative error = 0.01923043500588603 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.159999999999927 x1[1] (closed_form) = 2.000207585217868 x1[1] (numeric) = 2.000026189634369 absolute error = 0.0001813955834997216 relative error = 0.009068837896640787 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.015072323194714 x2[1] (numeric) = 1.015276065787105 absolute error = 0.0002037425923910874 relative error = 0.02007173161315767 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.169999999999926 x1[1] (closed_form) = 2.000205519710439 x1[1] (numeric) = 2.000018379861163 absolute error = 0.0001871398492765408 relative error = 0.009356031039431998 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.01537576115273 x2[1] (numeric) = 1.015588381629616 absolute error = 0.0002126204768855278 relative error = 0.02094007804993741 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.179999999999925 x1[1] (closed_form) = 2.000203474755153 x1[1] (numeric) = 2.000010491598431 absolute error = 0.0001929831567215601 relative error = 0.009648176255927331 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.015685339343807 x2[1] (numeric) = 1.015907125588194 absolute error = 0.0002217862443878449 relative error = 0.02183611752544662 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.189999999999924 x1[1] (closed_form) = 2.000201450147511 x1[1] (numeric) = 2.000002524057341 absolute error = 0.0001989260901700263 relative error = 0.00994530276714657 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 5 h = 0.001 x2[1] (closed_form) = 1.0160011817056 x2[1] (numeric) = 1.016232428714541 absolute error = 0.0002312470089411711 relative error = 0.02276050590344472 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.199999999999923 x1[1] (closed_form) = 2.000199445685052 x1[1] (numeric) = 1.999994476441132 absolute error = 0.0002049692439203277 relative error = 0.01024744029214184 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.0163234146805 x2[1] (numeric) = 1.016564424719785 absolute error = 0.0002410100392855608 relative error = 0.02371391191074022 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.209999999999922 x1[1] (closed_form) = 2.000197461167328 x1[1] (numeric) = 1.999986347945035 absolute error = 0.0002111132222928358 relative error = 0.01055461905094254 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.016652167266221 x2[1] (numeric) = 1.016903250028335 absolute error = 0.0002510827621144962 relative error = 0.02469701734760062 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.219999999999921 x1[1] (closed_form) = 2.000195496395885 x1[1] (numeric) = 1.999978137756194 absolute error = 0.0002173586396911897 relative error = 0.01086686976762243 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.01698757106741 x2[1] (numeric) = 1.017249043832807 absolute error = 0.0002614727653968973 relative error = 0.02571051729987817 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.22999999999992 x1[1] (closed_form) = 2.000193551174244 x1[1] (numeric) = 1.999969845053583 absolute error = 0.0002237061206611379 relative error = 0.01118422367324441 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.017329760348304 x2[1] (numeric) = 1.017601948150073 absolute error = 0.0002721878017688528 relative error = 0.02675512035307644 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.239999999999919 x1[1] (closed_form) = 2.000191625307883 x1[1] (numeric) = 1.999961469007926 absolute error = 0.0002301562999569295 relative error = 0.01150671250918283 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.017678872086441 x2[1] (numeric) = 1.017962107878436 absolute error = 0.0002832357919950734 relative error = 0.02783154880816033 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.249999999999917 x1[1] (closed_form) = 2.000189718604211 x1[1] (numeric) = 1.99995300878161 absolute error = 0.0002367098226017106 relative error = 0.0118343685301459 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.01803504602747 x2[1] (numeric) = 1.018329670855968 absolute error = 0.000294624828497847 relative error = 0.02894053889868709 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.259999999999916 x1[1] (closed_form) = 2.000187830872559 x1[1] (numeric) = 1.999944463528606 absolute error = 0.0002433673439530271 relative error = 0.01216722450745343 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.018398424741055 x2[1] (numeric) = 1.018704787920021 absolute error = 0.0003063631789661514 relative error = 0.0300828410102902 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.269999999999915 x1[1] (closed_form) = 2.00018596192415 x1[1] (numeric) = 1.999935832394381 absolute error = 0.0002501295297685502 relative error = 0.01250531373232563 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.018769153677917 x2[1] (numeric) = 1.019087612967946 absolute error = 0.0003184592900293826 relative error = 0.03125921990076894 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.279999999999914 x1[1] (closed_form) = 2.000184111572088 x1[1] (numeric) = 1.999927114515816 absolute error = 0.0002569970562720236 relative error = 0.01284867001918295 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.019147381228025 x2[1] (numeric) = 1.019478303019039 absolute error = 0.0003309217910145712 relative error = 0.03247045492241034 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.289999999999913 x1[1] (closed_form) = 2.000182279631337 x1[1] (numeric) = 1.999918309021114 absolute error = 0.0002639706102225414 relative error = 0.01319732770911235 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.019533258779963 x2[1] (numeric) = 1.019877018277739 absolute error = 0.0003437594977759861 relative error = 0.03371734024521672 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.299999999999912 x1[1] (closed_form) = 2.000180465918701 x1[1] (numeric) = 1.999909415029719 absolute error = 0.0002710508889818275 relative error = 0.01355132167323369 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.0199269407815 x2[1] (numeric) = 1.020283922198104 absolute error = 0.0003569814166040075 relative error = 0.03500068508147035 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.309999999999911 x1[1] (closed_form) = 2.000178670252807 x1[1] (numeric) = 1.999900431652225 absolute error = 0.0002782386005821813 relative error = 0.01391068731609932 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.020328584801373 x2[1] (numeric) = 1.020699181549589 absolute error = 0.0003705967482154904 relative error = 0.03632131391159978 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.31999999999991 x1[1] (closed_form) = 2.000176892454088 x1[1] (numeric) = 1.999891357990286 absolute error = 0.0002855344638015289 relative error = 0.01427546057944888 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.020738351592334 x2[1] (numeric) = 1.02112296648416 absolute error = 0.0003846148918267289 relative error = 0.03768006671119357 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.329999999999909 x1[1] (closed_form) = 2.000175132344761 x1[1] (numeric) = 1.999882193136528 absolute error = 0.0002929392082324789 relative error = 0.01464567794566432 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.021156405155455 x2[1] (numeric) = 1.021555450604761 absolute error = 0.0003990454493059126 relative error = 0.03907779917858559 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.339999999999907 x1[1] (closed_form) = 2.000173389748815 x1[1] (numeric) = 1.999872936174459 absolute error = 0.0003004535743553749 relative error = 0.01502137644142473 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.021582912805745 x2[1] (numeric) = 1.021996811035161 absolute error = 0.0004138982294155102 relative error = 0.04051538296375297 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.349999999999906 x1[1] (closed_form) = 2.000171664491988 x1[1] (numeric) = 1.999863586178375 absolute error = 0.0003080783136133469 relative error = 0.01540259364146097 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.022018045239085 x2[1] (numeric) = 1.022447228491224 absolute error = 0.0004291832521385874 relative error = 0.0419937058976475 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.359999999999905 x1[1] (closed_form) = 2.000169956401753 x1[1] (numeric) = 1.999854142213267 absolute error = 0.0003158141884860299 relative error = 0.01578936767224373 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.022461976600517 x2[1] (numeric) = 1.022906887353612 absolute error = 0.0004449107530954954 relative error = 0.04351367222228992 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.369999999999904 x1[1] (closed_form) = 2.000168265307301 x1[1] (numeric) = 1.999844603334733 absolute error = 0.0003236619725675016 relative error = 0.01618173721588244 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.022914884553911 x2[1] (numeric) = 1.02337597574196 absolute error = 0.0004610911880489343 relative error = 0.04507620282111882 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.379999999999903 x1[1] (closed_form) = 2.000166591039519 x1[1] (numeric) = 1.999834968588876 absolute error = 0.0003316224506431098 relative error = 0.01657974151396861 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.023376950353047 x2[1] (numeric) = 1.023854685590552 absolute error = 0.0004777352375053834 relative error = 0.04668223545005321 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.389999999999902 x1[1] (closed_form) = 2.000164933430979 x1[1] (numeric) = 1.999825237012212 absolute error = 0.000339696418766966 relative error = 0.01698342037145249 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.023848358914121 x2[1] (numeric) = 1.024343212725527 absolute error = 0.0004948538114060153 relative error = 0.04833272496826092 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.399999999999901 x1[1] (closed_form) = 2.000163292315921 x1[1] (numeric) = 1.999815407631578 absolute error = 0.0003478846843434358 relative error = 0.01739281416071944 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.024329298889729 x2[1] (numeric) = 1.024841756943645 absolute error = 0.0005124580539157542 relative error = 0.05002864356913423 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.4099999999999 x1[1] (closed_form) = 2.00016166753023 x1[1] (numeric) = 1.999805479464025 absolute error = 0.0003561880662052985 relative error = 0.01780796382549988 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.024819962744332 x2[1] (numeric) = 1.025350522092645 absolute error = 0.0005305593483131421 relative error = 0.0517709810113744 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.419999999999899 x1[1] (closed_form) = 2.000160058911427 x1[1] (numeric) = 1.999795451516729 absolute error = 0.0003646073946976802 relative error = 0.01822891088506763 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.025320546831256 x2[1] (numeric) = 1.025869716153232 absolute error = 0.0005491693219759064 relative error = 0.05356074484931658 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.429999999999898 x1[1] (closed_form) = 2.000158466298648 x1[1] (numeric) = 1.999785322786888 absolute error = 0.00037314351176021 relative error = 0.01865569743834962 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.025831251471245 x2[1] (numeric) = 1.026399551322718 absolute error = 0.0005682998514726645 relative error = 0.05539896066313148 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.439999999999896 x1[1] (closed_form) = 2.000156889532632 x1[1] (numeric) = 1.99977509226162 absolute error = 0.0003817972710116191 relative error = 0.01908836616815754 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.026352281032599 x2[1] (numeric) = 1.026940244100353 absolute error = 0.0005879630677541048 relative error = 0.05728667228785841 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.449999999999895 x1[1] (closed_form) = 2.000155328455699 x1[1] (numeric) = 1.999764758917863 absolute error = 0.0003905695378358942 relative error = 0.01952696034549723 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.026883844012931 x2[1] (numeric) = 1.027492015374387 absolute error = 0.0006081713614556339 relative error = 0.05922494204203054 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.459999999999894 x1[1] (closed_form) = 2.000153782911741 x1[1] (numeric) = 1.999754321722275 absolute error = 0.0003994611894662103 relative error = 0.01997152383376698 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.027426153122578 x2[1] (numeric) = 1.028055090510884 absolute error = 0.000628937388305717 relative error = 0.06121485095490663 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.469999999999893 x1[1] (closed_form) = 2.000152252746203 x1[1] (numeric) = 1.999743779631127 absolute error = 0.000408473115075525 relative error = 0.02042210109328891 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.027979425369695 x2[1] (numeric) = 1.02862969944434 absolute error = 0.0006502740746445745 relative error = 0.06325749899232805 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.479999999999892 x1[1] (closed_form) = 2.000150737806066 x1[1] (numeric) = 1.999733131590202 absolute error = 0.0004176062158636196 relative error = 0.02087873718566258 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.028543882147069 x2[1] (numeric) = 1.029216076770128 absolute error = 0.0006721946230590081 relative error = 0.06535400528131209 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.489999999999891 x1[1] (closed_form) = 2.000149237939835 x1[1] (numeric) = 1.999722376534687 absolute error = 0.0004268614051483599 relative error = 0.02134147777832966 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.029119749320688 x2[1] (numeric) = 1.029814461838817 absolute error = 0.0006947125181284708 relative error = 0.06750550833244078 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.49999999999989 x1[1] (closed_form) = 2.000147752997523 x1[1] (numeric) = 1.999711513389066 absolute error = 0.0004362396084567344 relative error = 0.02181036914912728 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.029707257320096 x2[1] (numeric) = 1.030425098852387 absolute error = 0.0007178415322908194 relative error = 0.06971316626038601 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.509999999999889 x1[1] (closed_form) = 2.000146282830634 x1[1] (numeric) = 1.999700541067017 absolute error = 0.0004457417636161143 relative error = 0.02228545819085265 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.030306641230576 x2[1] (numeric) = 1.031048236962406 absolute error = 0.0007415957318299693 relative error = 0.07197815700229043 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.519999999999888 x1[1] (closed_form) = 2.000144827292149 x1[1] (numeric) = 1.999689458471298 absolute error = 0.0004553688208508433 relative error = 0.02276679241609389 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.030918140887196 x2[1] (numeric) = 1.031684130370178 absolute error = 0.0007659894829818992 relative error = 0.07430167853314693 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.529999999999887 x1[1] (closed_form) = 2.000143386236515 x1[1] (numeric) = 1.999678264493641 absolute error = 0.0004651217428737198 relative error = 0.02325441996180566 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.031542000970752 x2[1] (numeric) = 1.032333038428919 absolute error = 0.0007910374581672208 relative error = 0.07668494907844761 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.539999999999885 x1[1] (closed_form) = 2.000141959519623 x1[1] (numeric) = 1.999666958014638 absolute error = 0.0004750015049852507 relative error = 0.02374838959427323 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.032178471105651 x2[1] (numeric) = 1.032995225748006 absolute error = 0.0008167546423549776 relative error = 0.07912920732400903 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.549999999999884 x1[1] (closed_form) = 2.000140546998802 x1[1] (numeric) = 1.999655537903631 absolute error = 0.0004850090951709074 relative error = 0.02424875071397659 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.032827805959773 x2[1] (numeric) = 1.033670962299323 absolute error = 0.0008431563395498998 relative error = 0.08163571262165838 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.559999999999883 x1[1] (closed_form) = 2.000139148532798 x1[1] (numeric) = 1.999644003018601 absolute error = 0.0004951455141968264 relative error = 0.02475555336037697 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.033490265346346 x2[1] (numeric) = 1.034360523525764 absolute error = 0.0008702581794177711 relative error = 0.08420574519162285 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.569999999999882 x1[1] (closed_form) = 2.000137763981763 x1[1] (numeric) = 1.999632352206049 absolute error = 0.0005054117757141707 relative error = 0.02526884821713606 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.034166114327884 x2[1] (numeric) = 1.035064190451929 absolute error = 0.0008980761240451329 relative error = 0.08684060632065892 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.579999999999881 x1[1] (closed_form) = 2.000136393207241 x1[1] (numeric) = 1.999620584300885 absolute error = 0.0005158089063568294 relative error = 0.02578868661700235 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.034855623322221 x2[1] (numeric) = 1.035782249797055 absolute error = 0.0009266264748339914 relative error = 0.08954161855537114 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.58999999999988 x1[1] (closed_form) = 2.000135036072153 x1[1] (numeric) = 1.999608698126307 absolute error = 0.0005263379458464446 relative error = 0.02631512054706377 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.03555906821069 x2[1] (numeric) = 1.036514994090231 absolute error = 0.0009559258795415193 relative error = 0.09231012589105456 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.599999999999879 x1[1] (closed_form) = 2.000133692440786 x1[1] (numeric) = 1.999596692493689 absolute error = 0.0005369999470974385 relative error = 0.02684820265400016 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.036276730448486 x2[1] (numeric) = 1.037262721787948 absolute error = 0.000985991339462311 relative error = 0.09514749395517044 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.609999999999878 x1[1] (closed_form) = 2.000132362178773 x1[1] (numeric) = 1.999584566202457 absolute error = 0.0005477959763169338 relative error = 0.02738798624908062 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.037008897177257 x2[1] (numeric) = 1.038025737394013 absolute error = 0.001016840216756743 relative error = 0.09805511018512827 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.619999999999877 x1[1] (closed_form) = 2.000131045153089 x1[1] (numeric) = 1.999572318039972 absolute error = 0.000558727113117774 relative error = 0.02793452531381559 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.037755861339972 x2[1] (numeric) = 1.038804351581901 absolute error = 0.001048490241929434 relative error = 0.1010343840000674 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.629999999999876 x1[1] (closed_form) = 2.00012974123203 x1[1] (numeric) = 1.999559946781407 absolute error = 0.0005697944506231067 relative error = 0.02848787450518723 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.038517921798111 x2[1] (numeric) = 1.039598881319572 absolute error = 0.001080959521461367 relative error = 0.1040867469662701 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.639999999999874 x1[1] (closed_form) = 2.000128450285202 x1[1] (numeric) = 1.999547451189627 absolute error = 0.0005809990955751854 relative error = 0.02904808916109062 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.039295383451217 x2[1] (numeric) = 1.040409649996813 absolute error = 0.001114266545596099 relative error = 0.1072136529555171 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.649999999999873 x1[1] (closed_form) = 2.000127172183509 x1[1] (numeric) = 1.999534830015061 absolute error = 0.0005923421684477237 relative error = 0.02961522530595255 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.040088557358866 x2[1] (numeric) = 1.041236987555155 absolute error = 0.001148430196288963 relative error = 0.1104165782964878 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.659999999999872 x1[1] (closed_form) = 2.00012590679914 x1[1] (numeric) = 1.999522081995582 absolute error = 0.0006038248035582505 relative error = 0.03018933965635038 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.040897760865106 x2[1] (numeric) = 1.042081230620419 absolute error = 0.001183469755312583 relative error = 0.1136970219177898 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.669999999999871 x1[1] (closed_form) = 2.000124654005557 x1[1] (numeric) = 1.999509205856378 absolute error = 0.0006154481491791319 relative error = 0.03077048962656415 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.041723317725401 x2[1] (numeric) = 1.042942722637935 absolute error = 0.001219404912533806 relative error = 0.1170565054832766 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.67999999999987 x1[1] (closed_form) = 2.000123413677478 x1[1] (numeric) = 1.999496200309823 absolute error = 0.0006272133676552549 relative error = 0.03135873333446182 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.042565558236145 x2[1] (numeric) = 1.043821814010501 absolute error = 0.001256255774356285 relative error = 0.1204965735182803 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.689999999999869 x1[1] (closed_form) = 2.000122185690869 x1[1] (numeric) = 1.999483064055352 absolute error = 0.0006391216355170481 relative error = 0.03195412960715132 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.04342481936679 x2[1] (numeric) = 1.044718862239127 absolute error = 0.001294042872337808 relative error = 0.1240187935267927 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.699999999999868 x1[1] (closed_form) = 2.000120969922932 x1[1] (numeric) = 1.999469795779329 absolute error = 0.0006511741436023843 relative error = 0.03255673798707662 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.044301444894648 x2[1] (numeric) = 1.045634232066627 absolute error = 0.001332787171979488 relative error = 0.12762475609846 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.709999999999867 x1[1] (closed_form) = 2.000119766252087 x1[1] (numeric) = 1.999456394154915 absolute error = 0.0006633720971713775 relative error = 0.03316661873775856 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.045195785542409 x2[1] (numeric) = 1.046568295624109 absolute error = 0.00137251008170014 relative error = 0.1313160750057818 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.719999999999866 x1[1] (closed_form) = 2.000118574557967 x1[1] (numeric) = 1.999442857841937 absolute error = 0.0006757167160307276 relative error = 0.03378383285001306 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.046108199118444 x2[1] (numeric) = 1.047521432580433 absolute error = 0.001413233461989405 relative error = 0.1350943872899895 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.729999999999865 x1[1] (closed_form) = 2.000117394721403 x1[1] (numeric) = 1.999429185486751 absolute error = 0.0006882092346514046 relative error = 0.03440844204783618 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.047039050659935 x2[1] (numeric) = 1.048494030294685 absolute error = 0.001454979634749831 relative error = 0.1389613533356541 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.739999999999863 x1[1] (closed_form) = 2.000116226624408 x1[1] (numeric) = 1.999415375722111 absolute error = 0.0007008509022965459 relative error = 0.03504050879479992 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.047988712578906 x2[1] (numeric) = 1.049486483971735 absolute error = 0.001497771392828806 relative error = 0.1429186569331523 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.749999999999862 x1[1] (closed_form) = 2.000115070150172 x1[1] (numeric) = 1.99940142716703 absolute error = 0.0007136429831424707 relative error = 0.03568009630010383 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.048957564811193 x2[1] (numeric) = 1.050499196820939 absolute error = 0.001541632009746552 relative error = 0.1469680053286082 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.759999999999861 x1[1] (closed_form) = 2.000113925183047 x1[1] (numeric) = 1.999387338426639 absolute error = 0.000726586756408798 relative error = 0.03632726852508174 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.049945994968433 x2[1] (numeric) = 1.051532580218052 absolute error = 0.001586585249619299 relative error = 0.1511111292602245 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.76999999999986 x1[1] (closed_form) = 2.000112791608536 x1[1] (numeric) = 1.999373108092053 absolute error = 0.000739683516483014 relative error = 0.03698209018943096 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.050954398493119 x2[1] (numeric) = 1.052587053870409 absolute error = 0.001632655377289849 relative error = 0.1553497829811441 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.779999999999859 x1[1] (closed_form) = 2.000111669313279 x1[1] (numeric) = 1.999358734740227 absolute error = 0.0007529345730528103 relative error = 0.03764462677783004 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.051983178816789 x2[1] (numeric) = 1.053663045985447 absolute error = 0.001679867168658644 relative error = 0.159685744267134 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.789999999999858 x1[1] (closed_form) = 2.000110558185047 x1[1] (numeric) = 1.999344216933813 absolute error = 0.0007663412512339818 relative error = 0.03831494454633448 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.053032747521405 x2[1] (numeric) = 1.054760993442637 absolute error = 0.001728245921232663 relative error = 0.1641208144096709 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.799999999999857 x1[1] (closed_form) = 2.000109458112725 x1[1] (numeric) = 1.999329553221019 absolute error = 0.0007799048917058737 relative error = 0.03899311052914978 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.054103524504003 x2[1] (numeric) = 1.055881341968887 absolute error = 0.001777817464884812 relative error = 0.1686568181926292 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.809999999999856 x1[1] (closed_form) = 2.000108368986306 x1[1] (numeric) = 1.999314742135462 absolute error = 0.0007936268508441646 relative error = 0.03967919254527143 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.055195938144658 x2[1] (numeric) = 1.057024546317492 absolute error = 0.00182860817283359 relative error = 0.1732956038523817 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.819999999999855 x1[1] (closed_form) = 2.000107290696876 x1[1] (numeric) = 1.999299782196021 absolute error = 0.0008075085008556471 relative error = 0.04037325920522471 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.056310425477852 x2[1] (numeric) = 1.058191070450698 absolute error = 0.001880644972846124 relative error = 0.1780390430204606 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.829999999999854 x1[1] (closed_form) = 2.000106223136605 x1[1] (numeric) = 1.999284671906688 absolute error = 0.0008215512299170058 relative error = 0.04107537991800422 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.057447432367295 x2[1] (numeric) = 1.059381387725969 absolute error = 0.001933955358673689 relative error = 0.1828890306484708 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.839999999999852 x1[1] (closed_form) = 2.000105166198736 x1[1] (numeric) = 1.999269409756422 absolute error = 0.0008357564423138175 relative error = 0.0417856248980247 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.058607413684282 x2[1] (numeric) = 1.060595981085996 absolute error = 0.001988567401713714 relative error = 0.1878474849134943 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.849999999999851 x1[1] (closed_form) = 2.000104119777575 x1[1] (numeric) = 1.999253994218997 absolute error = 0.0008501255585779965 relative error = 0.04250406517199396 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.059790833489657 x2[1] (numeric) = 1.061835343252574 absolute error = 0.002044509762916924 relative error = 0.1929163471045325 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.85999999999985 x1[1] (closed_form) = 2.000103083768478 x1[1] (numeric) = 1.999238423752844 absolute error = 0.0008646600156334561 relative error = 0.04323077258619661 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.060998165219443 x2[1] (numeric) = 1.063099976924374 absolute error = 0.0021018117049314 relative error = 0.1980975814879651 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.869999999999849 x1[1] (closed_form) = 2.000102058067844 x1[1] (numeric) = 1.999222696800906 absolute error = 0.0008793612669382167 relative error = 0.04396581981360016 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.062229891874234 x2[1] (numeric) = 1.06439039497873 absolute error = 0.002160503104496447 relative error = 0.2033931751519799 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.879999999999848 x1[1] (closed_form) = 2.000101042573101 x1[1] (numeric) = 1.999206811790472 absolute error = 0.0008942307826294016 relative error = 0.04470928036110548 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.063486506212401 x2[1] (numeric) = 1.065707120677493 absolute error = 0.002220614465091586 relative error = 0.2088051378291848 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.889999999999847 x1[1] (closed_form) = 2.000100037182701 x1[1] (numeric) = 1.999190767133029 absolute error = 0.0009092700496713402 relative error = 0.04546122857695253 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.064768510947212 x2[1] (numeric) = 1.06705068787705 absolute error = 0.002282176929837787 relative error = 0.214335501695817 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.899999999999846 x1[1] (closed_form) = 2.000099041796102 x1[1] (numeric) = 1.999174561224099 absolute error = 0.0009244805720032279 relative error = 0.04622173965810405 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.066076418947926 x2[1] (numeric) = 1.068421641242594 absolute error = 0.00234522229466716 relative error = 0.2199863211477445 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.909999999999845 x1[1] (closed_form) = 2.000098056313765 x1[1] (numeric) = 1.999158192443075 absolute error = 0.0009398638706892282 relative error = 0.04699088965775123 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.067410753444954 x2[1] (numeric) = 1.069820536466711 absolute error = 0.002409783021757095 relative error = 0.225759672551525 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.919999999999844 x1[1] (closed_form) = 2.000097080637141 x1[1] (numeric) = 1.999141659153068 absolute error = 0.0009554214840725717 relative error = 0.04776875549301924 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.068772048239162 x2[1] (numeric) = 1.071247940492404 absolute error = 0.002475892253241518 relative error = 0.231657653970333 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.929999999999843 x1[1] (closed_form) = 2.000096114668661 x1[1] (numeric) = 1.999124959700734 absolute error = 0.0009711549679274345 relative error = 0.04855541495256178 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.070160847915404 x2[1] (numeric) = 1.072704431740603 absolute error = 0.002543583825199258 relative error = 0.2376823848633573 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.939999999999841 x1[1] (closed_form) = 2.000095158311729 x1[1] (numeric) = 1.999108092416114 absolute error = 0.0009870658956152578 relative error = 0.04935094670437758 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.071577708060369 x2[1] (numeric) = 1.074190600342298 absolute error = 0.002612892281928625 relative error = 0.2438360057581025 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.94999999999984 x1[1] (closed_form) = 2.000094211470707 x1[1] (numeric) = 1.999091055612465 absolute error = 0.001003155858242177 relative error = 0.05015543030368244 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.073023195484827 x2[1] (numeric) = 1.075707048375337 absolute error = 0.002683852890509542 relative error = 0.2501206778942825 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.959999999999839 x1[1] (closed_form) = 2.000093274050911 x1[1] (numeric) = 1.999073847586092 absolute error = 0.001019426464818896 relative error = 0.05096894620090336 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.074497888450364 x2[1] (numeric) = 1.077254390106034 absolute error = 0.002756501655669652 relative error = 0.2565385828393823 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.969999999999838 x1[1] (closed_form) = 2.000092345958597 x1[1] (numeric) = 1.999056466616179 absolute error = 0.001035879342418111 relative error = 0.05179157574955063 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.076002376900703 x2[1] (numeric) = 1.078833252235649 absolute error = 0.002830875334945526 relative error = 0.2630919220735855 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.979999999999837 x1[1] (closed_form) = 2.000091427100957 x1[1] (numeric) = 1.999038910964615 absolute error = 0.001052516136342163 relative error = 0.05262340121460039 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.077537262697691 x2[1] (numeric) = 1.080444274151847 absolute error = 0.002907011454155617 relative error = 0.2697829165441302 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.989999999999836 x1[1] (closed_form) = 2.000090517386103 x1[1] (numeric) = 1.999021178875819 absolute error = 0.00106933851028379 relative error = 0.05346450578053327 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.079103159862056 x2[1] (numeric) = 1.082088108185246 absolute error = 0.002984948323190517 relative error = 0.2766138061881025 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 2.999999999999835 x1[1] (closed_form) = 2.000089616723062 x1[1] (numeric) = 1.999003268576568 absolute error = 0.00108634814649422 relative error = 0.05431497355973921 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.080700694819031 x2[1] (numeric) = 1.083765419871153 absolute error = 0.003064725052122297 relative error = 0.2835868494223094 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.009999999999834 x1[1] (closed_form) = 2.000088725021769 x1[1] (numeric) = 1.998985178275816 absolute error = 0.001103546745952366 relative error = 0.05517488960097785 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.082330506648934 x2[1] (numeric) = 1.085476888216575 absolute error = 0.00314638156764091 relative error = 0.2907043225994437 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.019999999999833 x1[1] (closed_form) = 2.000087842193051 x1[1] (numeric) = 1.99896690616452 absolute error = 0.001120936028531361 relative error = 0.05604433989770567 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.083993247342815 x2[1] (numeric) = 1.087223205972645 absolute error = 0.003229958629829222 relative error = 0.2979685194300606 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.029999999999831 x1[1] (closed_form) = 2.000086968148627 x1[1] (numeric) = 1.998948450415452 absolute error = 0.00113851773317486 relative error = 0.05692341139689162 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.085689582063266 x2[1] (numeric) = 1.089005079912543 absolute error = 0.003315497849276205 relative error = 0.3053817503687717 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.03999999999983 x1[1] (closed_form) = 2.000086102801089 x1[1] (numeric) = 1.998929809183023 absolute error = 0.001156293618066906 relative error = 0.05781219200751081 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.087420189410497 x2[1] (numeric) = 1.090823231115036 absolute error = 0.0034030417045392 relative error = 0.3129463419640966 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.049999999999829 x1[1] (closed_form) = 2.000085246063904 x1[1] (numeric) = 1.998910980603092 absolute error = 0.001174265460811785 relative error = 0.05871077060953764 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.08918576169379 x2[1] (numeric) = 1.092678395253752 absolute error = 0.003492633559961877 relative error = 0.3206646361710137 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.059999999999828 x1[1] (closed_form) = 2.000084397851396 x1[1] (numeric) = 1.998891962792788 absolute error = 0.001192435058607666 relative error = 0.05961923706262832 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.09098700520844 x2[1] (numeric) = 1.094571322892297 absolute error = 0.003584317683857474 relative error = 0.3285389896255152 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.069999999999827 x1[1] (closed_form) = 2.000083558078743 x1[1] (numeric) = 1.998872753850313 absolute error = 0.001210804228430451 relative error = 0.06053768221531381 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.09282464051828 x2[1] (numeric) = 1.096502779785336 absolute error = 0.00367813926705618 relative error = 0.33657177287948 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.079999999999826 x1[1] (closed_form) = 2.000082726661968 x1[1] (numeric) = 1.998853351854756 absolute error = 0.001229374807212524 relative error = 0.06146619791393756 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.094699402743929 x2[1] (numeric) = 1.098473547185765 absolute error = 0.003774144441836214 relative error = 0.3447653695960825 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.089999999999825 x1[1] (closed_form) = 2.000081903517928 x1[1] (numeric) = 1.998833754865902 absolute error = 0.001248148652026604 relative error = 0.06240487701184862 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.096612041856845 x2[1] (numeric) = 1.100484422158082 absolute error = 0.003872380301237044 relative error = 0.3531221757040087 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.099999999999824 x1[1] (closed_form) = 2.000081088564309 x1[1] (numeric) = 1.998813960924035 absolute error = 0.001267127640273369 relative error = 0.06335381337878326 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.098563322979335 x2[1] (numeric) = 1.1025362178981 absolute error = 0.00397289491876518 relative error = 0.361644598509859 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.109999999999823 x1[1] (closed_form) = 2.000080281719613 x1[1] (numeric) = 1.998793968049746 absolute error = 0.00128631366986709 relative error = 0.064313101910147 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.100554026690614 x2[1] (numeric) = 1.104629764059118 absolute error = 0.004075737368503862 relative error = 0.3703350557682005 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.119999999999822 x1[1] (closed_form) = 2.000079482903156 x1[1] (numeric) = 1.998773774243729 absolute error = 0.001305708659426585 relative error = 0.06528283853656271 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.102584949339055 x2[1] (numeric) = 1.106765907084683 absolute error = 0.004180957745627989 relative error = 0.3791959747078232 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.12999999999982 x1[1] (closed_form) = 2.000078692035055 x1[1] (numeric) = 1.998753377486588 absolute error = 0.001325314548466849 relative error = 0.06626312023345234 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.104656903360738 x2[1] (numeric) = 1.108945510548079 absolute error = 0.00428860718734092 relative error = 0.3882297910141632 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.139999999999819 x1[1] (closed_form) = 2.000077909036224 x1[1] (numeric) = 1.99873277573863 absolute error = 0.001345133297594003 relative error = 0.06725404503078491 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.106770717604444 x2[1] (numeric) = 1.111169455498677 absolute error = 0.004398737894232951 relative error = 0.3974389477663289 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.149999999999818 x1[1] (closed_form) = 2.00007713382836 x1[1] (numeric) = 1.998711966939662 absolute error = 0.001365166888698255 relative error = 0.06825571202272485 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.108927237663206 x2[1] (numeric) = 1.113438640815283 absolute error = 0.004511403152076543 relative error = 0.4068258943285788 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.159999999999817 x1[1] (closed_form) = 2.000076366333945 x1[1] (numeric) = 1.998690949008789 absolute error = 0.001385417325156402 relative error = 0.06926822137775733 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.111127326212564 x2[1] (numeric) = 1.115753983566628 absolute error = 0.004626657354063868 relative error = 0.4163930851952394 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.169999999999816 x1[1] (closed_form) = 2.000075606476226 x1[1] (numeric) = 1.998669719844197 absolute error = 0.001405886632029008 relative error = 0.07029167434854761 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.113371863355649 x2[1] (numeric) = 1.118116419379148 absolute error = 0.004744556023499769 relative error = 0.4261429787887676 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.179999999999815 x1[1] (closed_form) = 2.000074854179218 x1[1] (numeric) = 1.998648277322955 absolute error = 0.001426576856262907 relative error = 0.07132617328206643 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.115661746975239 x2[1] (numeric) = 1.120526902812191 absolute error = 0.004865155836951907 relative error = 0.436078036209651 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.189999999999814 x1[1] (closed_form) = 2.00007410936769 x1[1] (numeric) = 1.998626619300792 absolute error = 0.001447490066898149 relative error = 0.07237182162993767 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.117997893092932 x2[1] (numeric) = 1.122986407740805 absolute error = 0.004988514647873865 relative error = 0.4462007199381371 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.199999999999813 x1[1] (closed_form) = 2.000073371967161 x1[1] (numeric) = 1.998604743611887 absolute error = 0.001468628355273838 relative error = 0.0734287239587304 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.120381236235565 x2[1] (numeric) = 1.125495927746273 absolute error = 0.005114691510708314 relative error = 0.4565134924870278 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.209999999999812 x1[1] (closed_form) = 2.000072641903889 x1[1] (numeric) = 1.998582648068654 absolute error = 0.001489993835235737 relative error = 0.07449698596033974 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.122812729809046 x2[1] (numeric) = 1.128056476514527 absolute error = 0.005243746705481334 relative error = 0.4670188150051636 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.219999999999811 x1[1] (closed_form) = 2.000071919104869 x1[1] (numeric) = 1.998560330461519 absolute error = 0.001511588643350104 relative error = 0.07557671446267862 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.125293346479729 x2[1] (numeric) = 1.130669088242624 absolute error = 0.005375741762895458 relative error = 0.4777191458309488 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.229999999999809 x1[1] (closed_form) = 2.000071203497819 x1[1] (numeric) = 1.998537788558703 absolute error = 0.00153341493911574 relative error = 0.07666801744028071 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.127824078563498 x2[1] (numeric) = 1.133334818053434 absolute error = 0.00551073948993519 relative error = 0.4886169389958566 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.239999999999808 x1[1] (closed_form) = 2.000070495011178 x1[1] (numeric) = 1.998515020105999 absolute error = 0.001555474905179599 relative error = 0.0777710040250809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.130405938422714 x2[1] (numeric) = 1.136054742418701 absolute error = 0.005648803995987217 relative error = 0.4997146426768729 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.249999999999807 x1[1] (closed_form) = 2.000069793574097 x1[1] (numeric) = 1.99849202282654 absolute error = 0.00157777074755705 relative error = 0.07888578451742904 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.133039958871171 x2[1] (numeric) = 1.138829959590671 absolute error = 0.005790000719499977 relative error = 0.5110146975988792 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.259999999999806 x1[1] (closed_form) = 2.000069099116432 x1[1] (numeric) = 1.99846879442058 absolute error = 0.001600304695851706 relative error = 0.08001247039708134 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.135727193587241 x2[1] (numeric) = 1.14166159004242 absolute error = 0.005934396455179014 relative error = 0.5225195353855162 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.269999999999805 x1[1] (closed_form) = 2.000068411568735 x1[1] (numeric) = 1.998445332565259 absolute error = 0.001623079003476358 relative error = 0.08115117433424743 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.138468717535367 x2[1] (numeric) = 1.144550776917105 absolute error = 0.006082059381738336 relative error = 0.5342315768592381 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.279999999999804 x1[1] (closed_form) = 2.000067730862253 x1[1] (numeric) = 1.998421634914372 absolute error = 0.00164609594788101 relative error = 0.08230201020099247 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.14126562739606 x2[1] (numeric) = 1.147498686486273 absolute error = 0.006233059090212878 relative error = 0.5461532302899879 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.289999999999803 x1[1] (closed_form) = 2.000067056928913 x1[1] (numeric) = 1.998397699098134 absolute error = 0.00166935783077915 relative error = 0.08346509308255072 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.144119042004594 x2[1] (numeric) = 1.150506508617444 absolute error = 0.006387466612849391 relative error = 0.5582868895930623 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.299999999999802 x1[1] (closed_form) = 2.000066389701322 x1[1] (numeric) = 1.998373522722944 absolute error = 0.001692866978378671 relative error = 0.08464053928887198 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.147030102798557 x2[1] (numeric) = 1.153575457251142 absolute error = 0.006545354452585084 relative error = 0.5706349324761 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.309999999999801 x1[1] (closed_form) = 2.000065729112757 x1[1] (numeric) = 1.998349103371143 absolute error = 0.001716625741613464 relative error = 0.08582846636620146 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.149999974274443 x2[1] (numeric) = 1.156706770887562 absolute error = 0.006706796613119348 relative error = 0.5831997185348456 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.3199999999998 x1[1] (closed_form) = 2.000065075097157 x1[1] (numeric) = 1.998324438600777 absolute error = 0.001740636496380121 relative error = 0.08702899310891504 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.153029844453473 x2[1] (numeric) = 1.159901713083078 absolute error = 0.006871868629604982 relative error = 0.5959835872992686 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.329999999999798 x1[1] (closed_form) = 2.000064427589122 x1[1] (numeric) = 1.998299525945348 absolute error = 0.001764901643774186 relative error = 0.08824223957133215 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.156120925356818 x2[1] (numeric) = 1.163161572956775 absolute error = 0.007040647599956262 relative error = 0.6089888562291421 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.339999999999797 x1[1] (closed_form) = 2.000063786523899 x1[1] (numeric) = 1.998274362913568 absolute error = 0.001789423610330632 relative error = 0.08946832707973985 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.159274453490433 x2[1] (numeric) = 1.166487665707231 absolute error = 0.007213212216797382 relative error = 0.622217818660567 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.349999999999796 x1[1] (closed_form) = 2.000063151837382 x1[1] (numeric) = 1.998248946989116 absolute error = 0.001814204848265888 relative error = 0.09070737824449429 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.162491690339673 x2[1] (numeric) = 1.16988133313973 absolute error = 0.00738964280005705 relative error = 0.6356727417034562 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.359999999999795 x1[1] (closed_form) = 2.0000625234661 x1[1] (numeric) = 1.998223275630375 absolute error = 0.001839247835724978 relative error = 0.09195951697237785 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.165773922873909 x2[1] (numeric) = 1.173343944204137 absolute error = 0.007570021330227883 relative error = 0.649355864091211 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.369999999999794 x1[1] (closed_form) = 2.000061901347218 x1[1] (numeric) = 1.998197346270191 absolute error = 0.001864555077027763 relative error = 0.09322486847891161 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.169122464061341 x2[1] (numeric) = 1.176876895543641 absolute error = 0.007754431482300372 relative error = 0.663269393983137 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.379999999999793 x1[1] (closed_form) = 2.000061285418522 x1[1] (numeric) = 1.998171156315603 absolute error = 0.001890129102918969 relative error = 0.09450355930085667 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.172538653394196 x2[1] (numeric) = 1.180481612054582 absolute error = 0.007942958660385191 relative error = 0.6774155067205997 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.389999999999792 x1[1] (closed_form) = 2.000060675618419 x1[1] (numeric) = 1.998144703147596 absolute error = 0.001915972470823091 relative error = 0.09579571730895971 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.176023857424557 x2[1] (numeric) = 1.184159547457597 absolute error = 0.008135690033040044 relative error = 0.6917963425382256 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.399999999999791 x1[1] (closed_form) = 2.000060071885929 x1[1] (numeric) = 1.998117984120831 absolute error = 0.0019420877650973 relative error = 0.09710147172059864 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.179579470310997 x2[1] (numeric) = 1.18791218488031 absolute error = 0.008332714569313726 relative error = 0.706414004231254 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.40999999999979 x1[1] (closed_form) = 2.000059474160677 x1[1] (numeric) = 1.998090996563383 absolute error = 0.001968477597293461 relative error = 0.09842095311288335 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.183206914376266 x2[1] (numeric) = 1.191741037451789 absolute error = 0.008534123075523148 relative error = 0.7212705547805187 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.419999999999789 x1[1] (closed_form) = 2.00005888238289 x1[1] (numeric) = 1.998063737776473 absolute error = 0.001995144606417254 relative error = 0.09975429343561218 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 4 h = 0.001 x2[1] (closed_form) = 1.186907640676245 x2[1] (numeric) = 1.195647648909021 absolute error = 0.008740008232775764 relative error = 0.7363680149363697 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.429999999999787 x1[1] (closed_form) = 2.000058296493391 x1[1] (numeric) = 1.9980362050342 absolute error = 0.0020220914591913 relative error = 0.1011016260244283 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.190683129580387 x2[1] (numeric) = 1.199633594215643 absolute error = 0.008950464635255617 relative error = 0.751708360763445 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.439999999999786 x1[1] (closed_form) = 2.00005771643359 x1[1] (numeric) = 1.998008395583267 absolute error = 0.002049320850323388 relative error = 0.1024630856142313 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.194534891363892 x2[1] (numeric) = 1.203700480193175 absolute error = 0.009165588829283422 relative error = 0.7672935211476634 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.449999999999785 x1[1] (closed_form) = 2.000057142145481 x1[1] (numeric) = 1.997980306642706 absolute error = 0.00207683550277471 relative error = 0.1038388083525888 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.198464466811833 x2[1] (numeric) = 1.207849946165009 absolute error = 0.00938547935317513 relative error = 0.7831253752681105 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.459999999999784 x1[1] (closed_form) = 2.000056573571633 x1[1] (numeric) = 1.997951935403599 absolute error = 0.002104638168034301 relative error = 0.1052289318134591 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.202473427835501 x2[1] (numeric) = 1.212083664613408 absolute error = 0.009610236777906733 relative error = 0.7992057500352031 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.469999999999783 x1[1] (closed_form) = 2.00005601065519 x1[1] (numeric) = 1.997923279028799 absolute error = 0.002132731626391271 relative error = 0.1066335950108026 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.206563378101188 x2[1] (numeric) = 1.216403341849793 absolute error = 0.009839963748604852 relative error = 0.8155364174976329 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.479999999999782 x1[1] (closed_form) = 2.000055453339859 x1[1] (numeric) = 1.997894334652643 absolute error = 0.002161118687215913 relative error = 0.1080529384126374 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.210735953671682 x2[1] (numeric) = 1.220810718698562 absolute error = 0.01007476502687976 relative error = 0.8321190922204794 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.489999999999781 x1[1] (closed_form) = 2.000054901569908 x1[1] (numeric) = 1.997865099380671 absolute error = 0.002189802189237255 relative error = 0.1094871039549169 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.214992823660711 x2[1] (numeric) = 1.22530757119473 absolute error = 0.01031474753401818 relative error = 0.8489554286370489 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.49999999999978 x1[1] (closed_form) = 2.00005435529016 x1[1] (numeric) = 1.997835570289331 absolute error = 0.002218785000829504 relative error = 0.1109362350558523 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.219335690900622 x2[1] (numeric) = 1.229895711295676 absolute error = 0.01056002039505421 relative error = 0.8660470183772285 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.509999999999779 x1[1] (closed_form) = 2.000053814445987 x1[1] (numeric) = 1.997805744425689 absolute error = 0.002248070020297366 relative error = 0.112400476630179 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.223766292623529 x2[1] (numeric) = 1.234576987607261 absolute error = 0.01081069498373188 relative error = 0.8833953875748405 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.519999999999778 x1[1] (closed_form) = 2.000053278983302 x1[1] (numeric) = 1.997775618807134 absolute error = 0.002277660176167817 relative error = 0.1138799751037449 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.228286401156242 x2[1] (numeric) = 1.239353286124626 absolute error = 0.01106688496838371 relative error = 0.9010019941575464 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.529999999999776 x1[1] (closed_form) = 2.000052748848561 x1[1] (numeric) = 1.997745190421079 absolute error = 0.002307558427481204 relative error = 0.1153748784280653 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.232897824629217 x2[1] (numeric) = 1.244226530987955 absolute error = 0.01132870635873817 relative error = 0.918868225121995 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.539999999999775 x1[1] (closed_form) = 2.000052223988748 x1[1] (numeric) = 1.997714456224661 absolute error = 0.002337767764087451 relative error = 0.116885336095134 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.237602407699837 x2[1] (numeric) = 1.249198685253516 absolute error = 0.01159627755367909 relative error = 0.9369953937978769 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.549999999999774 x1[1] (closed_form) = 2.000051704351378 x1[1] (numeric) = 1.997683413144433 absolute error = 0.002368291206944928 relative error = 0.1184114991523667 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.242402032290302 x2[1] (numeric) = 1.254271751680275 absolute error = 0.01186971938997328 relative error = 0.9553847371041465 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.559999999999773 x1[1] (closed_form) = 2.000051189884485 x1[1] (numeric) = 1.997652058076062 absolute error = 0.002399131808423549 relative error = 0.1199535202177557 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.247298618340429 x2[1] (numeric) = 1.259447773532415 absolute error = 0.01214915519198589 relative error = 0.974037412801013 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.569999999999772 x1[1] (closed_form) = 2.000050680536625 x1[1] (numeric) = 1.997620387884015 absolute error = 0.002430292652610078 relative error = 0.1215115534951353 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.25229412457565 x2[1] (numeric) = 1.264728835398058 absolute error = 0.0124347108224081 relative error = 0.9929544967418663 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.579999999999771 x1[1] (closed_form) = 2.00005017625686 x1[1] (numeric) = 1.997588399401246 absolute error = 0.002461776855614106 relative error = 0.1230857547894813 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.257390549290535 x2[1] (numeric) = 1.270117064024545 absolute error = 0.01272651473401054 relative error = 1.012136980128513 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.58999999999977 x1[1] (closed_form) = 2.000049676994762 x1[1] (numeric) = 1.99755608942888 absolute error = 0.002493587565881361 relative error = 0.124676281522576 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.262589931148138 x2[1] (numeric) = 1.27561462917059 absolute error = 0.01302469802245132 relative error = 1.031585766774434 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.599999999999769 x1[1] (closed_form) = 2.000049182700405 x1[1] (numeric) = 1.997523454735894 absolute error = 0.002525727964510782 relative error = 0.1262832927488624 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.267894349995494 x2[1] (numeric) = 1.281223744475644 absolute error = 0.01332939448015025 relative error = 1.051301670379525 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.609999999999768 x1[1] (closed_form) = 2.000048693324359 x1[1] (numeric) = 1.997490492058791 absolute error = 0.00255820126556805 relative error = 0.1279069491711206 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.273305927695582 x2[1] (numeric) = 1.286946668346844 absolute error = 0.0136407406512622 relative error = 1.071285411821579 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.619999999999767 x1[1] (closed_form) = 2.000048208817687 x1[1] (numeric) = 1.997457198101275 absolute error = 0.002591010716411324 relative error = 0.1295474131567549 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.278826828976109 x2[1] (numeric) = 1.292785704863868 absolute error = 0.01395887588775913 relative error = 1.091537616468 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.629999999999765 x1[1] (closed_form) = 2.000047729131936 x1[1] (numeric) = 1.997423569533924 absolute error = 0.002624159598012321 relative error = 0.1312048487538476 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.284459262295425 x2[1] (numeric) = 1.298743204702082 absolute error = 0.01428394240665654 relative error = 1.112058811513419 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.639999999999764 x1[1] (closed_form) = 2.000047254219138 x1[1] (numeric) = 1.997389602993852 absolute error = 0.002657651225286495 relative error = 0.1328794217076686 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.290205480725944 x2[1] (numeric) = 1.304821566074341 absolute error = 0.01461608534839631 relative error = 1.132849423347082 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.649999999999763 x1[1] (closed_form) = 2.000046784031802 x1[1] (numeric) = 1.997355295084376 absolute error = 0.00269148894742588 relative error = 0.1345712994773168 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.296067782855403 x2[1] (numeric) = 1.311023235691819 absolute error = 0.01495545283641686 relative error = 1.153909774955449 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.659999999999762 x1[1] (closed_form) = 2.000046318522907 x1[1] (numeric) = 1.997320642374678 absolute error = 0.00272567614822905 relative error = 0.1362806512522191 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.302048513706327 x2[1] (numeric) = 1.317350709744258 absolute error = 0.01530219603793159 relative error = 1.17524008336474 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.669999999999761 x1[1] (closed_form) = 2.000045857645904 x1[1] (numeric) = 1.997285641399458 absolute error = 0.002760216246446179 relative error = 0.1380076479693826 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.308150065674078 x2[1] (numeric) = 1.323806534900015 absolute error = 0.01565646922593689 relative error = 1.196840457128231 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.67999999999976 x1[1] (closed_form) = 2.000045401354703 x1[1] (numeric) = 1.997250288658589 absolute error = 0.002795112696114543 relative error = 0.1397524623301707 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.314374879483844 x2[1] (numeric) = 1.330393309326325 absolute error = 0.0160184298424817 relative error = 1.218710893864021 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.689999999999759 x1[1] (closed_form) = 2.000044949603676 x1[1] (numeric) = 1.997214580616767 absolute error = 0.002830368986909138 relative error = 0.1415152688178331 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.320725445166961 x2[1] (numeric) = 1.337113683730181 absolute error = 0.01638823856321947 relative error = 1.240851277848117 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.699999999999758 x1[1] (closed_form) = 2.000044502347647 x1[1] (numeric) = 1.997178513703158 absolute error = 0.002865988644488171 relative error = 0.1432962437147814 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.327204303056968 x2[1] (numeric) = 1.343970362420237 absolute error = 0.01676605936326947 relative error = 1.263261377668229 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.709999999999757 x1[1] (closed_form) = 2.000044059541889 x1[1] (numeric) = 1.997142084311042 absolute error = 0.002901975230847231 relative error = 0.1450955651202969 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.33381404480577 x2[1] (numeric) = 1.350966104390183 absolute error = 0.01715205958441302 relative error = 1.285940843943558 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.719999999999756 x1[1] (closed_form) = 2.000043621142122 x1[1] (numeric) = 1.997105288797447 absolute error = 0.002938332344674999 relative error = 0.1469134129683165 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.340557314420338 x2[1] (numeric) = 1.358103724423992 absolute error = 0.01754641000365376 relative error = 1.308889207116138 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.729999999999754 x1[1] (closed_form) = 2.000043187104506 x1[1] (numeric) = 1.997068123482794 absolute error = 0.002975063621712293 relative error = 0.1487499690453854 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.347436809320351 x2[1] (numeric) = 1.365386094223518 absolute error = 0.01794928490316705 relative error = 1.332105875318984 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.739999999999753 x1[1] (closed_form) = 2.000042757385637 x1[1] (numeric) = 1.997030584650518 absolute error = 0.003012172735118224 relative error = 0.1506054170089642 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.3544552814172 x2[1] (numeric) = 1.37281614355887 absolute error = 0.01836086214167065 relative error = 1.355590132326793 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.749999999999752 x1[1] (closed_form) = 2.000042331942541 x1[1] (numeric) = 1.996992668546706 absolute error = 0.003049663395834346 relative error = 0.152479942405637 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.36161553821479 x2[1] (numeric) = 1.380396861442029 absolute error = 0.01878132322723913 relative error = 1.379341135594212 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.759999999999751 x1[1] (closed_form) = 2.000041910732675 x1[1] (numeric) = 1.996954371379716 absolute error = 0.003087539352959467 relative error = 0.154373732689852 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.368920443932586 x2[1] (numeric) = 1.388131297324183 absolute error = 0.01921085339159734 relative error = 1.403357914387565 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.76999999999975 x1[1] (closed_form) = 2.000041493713917 x1[1] (numeric) = 1.996915689319798 absolute error = 0.003125804394118914 relative error = 0.1562869772423844 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.376372920651336 x2[1] (numeric) = 1.396022562317256 absolute error = 0.01964964166591998 relative error = 1.427639368015265 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.779999999999749 x1[1] (closed_form) = 2.000041080844565 x1[1] (numeric) = 1.996876618498715 absolute error = 0.003164462345850438 relative error = 0.1582198673896322 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.383975949481947 x2[1] (numeric) = 1.404073830440115 absolute error = 0.02009788095816822 relative error = 1.452184264162344 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.789999999999748 x1[1] (closed_form) = 2.000040672083332 x1[1] (numeric) = 1.996837155009352 absolute error = 0.003203517073980144 relative error = 0.1601725964224126 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.39173257175797 x2[1] (numeric) = 1.412288339889963 absolute error = 0.02055576813199322 relative error = 1.476991237334351 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.799999999999747 x1[1] (closed_form) = 2.000040267389341 x1[1] (numeric) = 1.996797294905327 absolute error = 0.003242972484014617 relative error = 0.1621453596155681 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.399645890252178 x2[1] (numeric) = 1.420669394339419 absolute error = 0.02102350408724107 relative error = 1.502058787416095 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.809999999999746 x1[1] (closed_form) = 2.000039866722123 x1[1] (numeric) = 1.996757034200596 absolute error = 0.003282832521526391 relative error = 0.1641383542472403 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.407719070417716 x2[1] (numeric) = 1.429220364259805 absolute error = 0.02150129384208888 relative error = 1.527385278350228 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.819999999999744 x1[1] (closed_form) = 2.00003947004161 x1[1] (numeric) = 1.996716368869056 absolute error = 0.003323101172553411 relative error = 0.166151779618843 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.41595534165433 x2[1] (numeric) = 1.437944688271177 absolute error = 0.02198934661684726 relative error = 1.552968936940909 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.829999999999743 x1[1] (closed_form) = 2.000039077308134 x1[1] (numeric) = 1.99667529484414 absolute error = 0.003363782463993603 relative error = 0.1681858370747906 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.424357998600165 x2[1] (numeric) = 1.446845874519625 absolute error = 0.02248787591945978 relative error = 1.578807851787295 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.839999999999742 x1[1] (closed_form) = 2.000038688482421 x1[1] (numeric) = 1.996633808018411 absolute error = 0.003404880464010551 relative error = 0.1702407300227821 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.432930402449676 x2[1] (numeric) = 1.455927502082415 absolute error = 0.02299709963273888 relative error = 1.604899972352044 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.849999999999741 x1[1] (closed_form) = 2.000038303525589 x1[1] (numeric) = 1.996591904243151 absolute error = 0.003446399282438506 relative error = 0.1723166639540517 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.441675982298145 x2[1] (numeric) = 1.465193222401512 absolute error = 0.02351724010336764 relative error = 1.631243108169099 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.85999999999974 x1[1] (closed_form) = 2.000037922399141 x1[1] (numeric) = 1.996549579327948 absolute error = 0.003488343071193611 relative error = 0.1744138464639299 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.450598236513368 x2[1] (numeric) = 1.474646760746072 absolute error = 0.02404852423270465 relative error = 1.657834928195367 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.869999999999739 x1[1] (closed_form) = 2.000037545064965 x1[1] (numeric) = 1.996506829040275 absolute error = 0.003530716024690683 relative error = 0.1765324872726826 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.459700734135054 x2[1] (numeric) = 1.484291917704488 absolute error = 0.02459118356943413 relative error = 1.68467296031098 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.879999999999738 x1[1] (closed_form) = 2.000037171485327 x1[1] (numeric) = 1.996463649105068 absolute error = 0.003573522380258876 relative error = 0.1786727982462946 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.468987116302487 x2[1] (numeric) = 1.494132570706577 absolute error = 0.02514545440408988 relative error = 1.71175459097165 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.889999999999737 x1[1] (closed_form) = 2.000036801622868 x1[1] (numeric) = 1.996420035204298 absolute error = 0.003616766418569783 relative error = 0.1808349934178746 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.478461097711035 x2[1] (numeric) = 1.504172675576532 absolute error = 0.02571157786549705 relative error = 1.739077065017397 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.899999999999736 x1[1] (closed_form) = 2.000036435440602 x1[1] (numeric) = 1.996375982976538 absolute error = 0.00366045246406399 relative error = 0.1830192890089826 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.488126468098075 x2[1] (numeric) = 1.514416268117243 absolute error = 0.02628980001916736 relative error = 1.766637485641088 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.909999999999735 x1[1] (closed_form) = 2.000036072901911 x1[1] (numeric) = 1.996331488016529 absolute error = 0.003704584885381834 relative error = 0.1852259034511684 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.497987093758947 x2[1] (numeric) = 1.524867465726638 absolute error = 0.02688037196769111 relative error = 1.794432814520406 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.919999999999733 x1[1] (closed_form) = 2.00003571397054 x1[1] (numeric) = 1.996286545874737 absolute error = 0.003749168095802835 relative error = 0.1874550574079428 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.508046919093518 x2[1] (numeric) = 1.535530469046679 absolute error = 0.02748354995316071 relative error = 1.82245987211598 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.929999999999732 x1[1] (closed_form) = 2.000035358610595 x1[1] (numeric) = 1.996241152056911 absolute error = 0.00379420655368401 relative error = 0.1897069737966936 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.518309968184003 x2[1] (numeric) = 1.546409563645675 absolute error = 0.02809959546167162 relative error = 1.850715338138796 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.939999999999731 x1[1] (closed_form) = 2.000035006786542 x1[1] (numeric) = 1.996195302023632 absolute error = 0.003839704762909513 relative error = 0.1919818778111674 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.528780346404649 x2[1] (numeric) = 1.557509121734591 absolute error = 0.02872877532994189 relative error = 1.879195752189356 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.94999999999973 x1[1] (closed_form) = 2.000034658463196 x1[1] (numeric) = 1.996148991189858 absolute error = 0.003885667273338278 relative error = 0.194279996943852 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.539462242063943 x2[1] (numeric) = 1.568833603918034 absolute error = 0.02937136185409095 relative error = 1.907897514570609 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.959999999999729 x1[1] (closed_form) = 2.000034313605725 x1[1] (numeric) = 1.996102214924465 absolute error = 0.003932098681259433 relative error = 0.196601561008747 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.550359928079993 x2[1] (numeric) = 1.580387560980616 absolute error = 0.0300276329006226 relative error = 1.936816887276596 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.969999999999728 x1[1] (closed_form) = 2.000033972179643 x1[1] (numeric) = 1.996054968549791 absolute error = 0.003979003629852373 relative error = 0.1989468021643674 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.561477763689754 x2[1] (numeric) = 1.592175635709413 absolute error = 0.03069787201965934 relative error = 1.965949995158473 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.979999999999727 x1[1] (closed_form) = 2.000033634150808 x1[1] (numeric) = 1.996007247341156 absolute error = 0.004026386809651727 relative error = 0.2013159549369922 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.572820196192781 x2[1] (numeric) = 1.604202564753248 absolute error = 0.03138236856046683 relative error = 1.995292827268623 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.989999999999726 x1[1] (closed_form) = 2.000033299485416 x1[1] (numeric) = 1.995959046526402 absolute error = 0.004074252959014091 relative error = 0.2037092562440009 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.584391762730211 x2[1] (numeric) = 1.616473180519537 absolute error = 0.03208141778932605 relative error = 2.024841238384351 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 3.999999999999725 x1[1] (closed_form) = 2.00003296815 x1[1] (numeric) = 1.995910361285405 absolute error = 0.004122606864594758 relative error = 0.2061269454177101 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.596197092099684 x2[1] (numeric) = 1.628992413109469 absolute error = 0.03279532100978511 relative error = 2.054590950710554 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.009999999999728 x1[1] (closed_form) = 2.000032640111426 x1[1] (numeric) = 1.995861186749602 absolute error = 0.004171453361824007 relative error = 0.2085692642291881 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.608240906606927 x2[1] (numeric) = 1.641765292292276 absolute error = 0.03352438568534932 relative error = 2.084537555762041 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.019999999999731 x1[1] (closed_form) = 2.000032315336891 x1[1] (numeric) = 1.995811518001497 absolute error = 0.004220797335393822 relative error = 0.2110364569125904 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.620528023954726 x2[1] (numeric) = 1.654796949519401 absolute error = 0.03426892556467576 relative error = 2.114676516426177 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.029999999999735 x1[1] (closed_form) = 2.000031993793916 x1[1] (numeric) = 1.995761350074176 absolute error = 0.004270643719740397 relative error = 0.2135287701892855 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.633063359170089 x2[1] (numeric) = 1.668092619979361 absolute error = 0.03502926080927193 relative error = 2.145003169201809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.039999999999738 x1[1] (closed_form) = 2.000031675450348 x1[1] (numeric) = 1.995710677950802 absolute error = 0.004320997499545509 relative error = 0.2160464532929234 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.645851926570323 x2[1] (numeric) = 1.681657644694127 absolute error = 0.03580571812380429 relative error = 2.175512726616747 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.049999999999741 x1[1] (closed_form) = 2.000031360274351 x1[1] (numeric) = 1.995659496564123 absolute error = 0.004371863710228352 relative error = 0.2185897579940271 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.658898841768819 x2[1] (numeric) = 1.695497472657858 absolute error = 0.0365986308890387 relative error = 2.206200279820257 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.059999999999745 x1[1] (closed_form) = 2.000031048234407 x1[1] (numeric) = 1.995607800795955 absolute error = 0.004423247438452238 relative error = 0.221158938625328 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.67220932372138 x2[1] (numeric) = 1.709617663018858 absolute error = 0.03740833929747844 relative error = 2.237060801349254 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.069999999999748 x1[1] (closed_form) = 2.000030739299314 x1[1] (numeric) = 1.99555558547668 absolute error = 0.004475153822633526 relative error = 0.2237542521072122 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.685788696813863 x2[1] (numeric) = 1.724023887305608 absolute error = 0.03823519049174462 relative error = 2.268089148065178 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.079999999999751 x1[1] (closed_form) = 2.000030433438175 x1[1] (numeric) = 1.995502845384721 absolute error = 0.004527588053453435 relative error = 0.2263759579733111 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.699642392992014 x2[1] (numeric) = 1.73872193169778 absolute error = 0.03907953870576519 relative error = 2.299280064259306 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.089999999999755 x1[1] (closed_form) = 2.000030130620405 x1[1] (numeric) = 1.995449575246027 absolute error = 0.004580555374378514 relative error = 0.2290243183965251 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.713775953934317 x2[1] (numeric) = 1.753717699343138 absolute error = 0.03994174540882134 relative error = 2.330628184922716 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.099999999999758 x1[1] (closed_form) = 2.000029830815723 x1[1] (numeric) = 1.995395769733538 absolute error = 0.004634061082185559 relative error = 0.2316995982152692 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.728195033268739 x2[1] (numeric) = 1.769017212721249 absolute error = 0.04082217945250965 relative error = 2.362128039177259 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.109999999999761 x1[1] (closed_form) = 2.000029533994147 x1[1] (numeric) = 1.995341423466659 absolute error = 0.00468811052748852 relative error = 0.2344020649598187 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.742905398834263 x2[1] (numeric) = 1.784626616054948 absolute error = 0.04172121722068556 relative error = 2.393774053863777 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.119999999999765 x1[1] (closed_form) = 2.000029240125996 x1[1] (numeric) = 1.995286531010717 absolute error = 0.004742709115278965 relative error = 0.237131988879332 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.757912934988096 x2[1] (numeric) = 1.800552177770538 absolute error = 0.04263924278244113 relative error = 2.425560557282654 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.129999999999768 x1[1] (closed_form) = 2.000028949181881 x1[1] (numeric) = 1.995231086876421 absolute error = 0.004797862305459866 relative error = 0.2398896429685405 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.773223644959499 x2[1] (numeric) = 1.816800293007681 absolute error = 0.04357664804818162 relative error = 2.45748178308196 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.139999999999771 x1[1] (closed_form) = 2.000028661132708 x1[1] (numeric) = 1.995175085519311 absolute error = 0.004853575613396721 relative error = 0.242675302995304 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.788843653251152 x2[1] (numeric) = 1.833377486180017 absolute error = 0.04453383292886515 relative error = 2.489531874287989 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.149999999999775 x1[1] (closed_form) = 2.000028375949673 x1[1] (numeric) = 1.995118521339206 absolute error = 0.004909854610466668 relative error = 0.2454892475280669 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.804779208089045 x2[1] (numeric) = 1.850290413587509 absolute error = 0.04551120549846366 relative error = 2.521704887472208 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.159999999999778 x1[1] (closed_form) = 2.000028093604256 x1[1] (numeric) = 1.995061388679639 absolute error = 0.004966704924616483 relative error = 0.2483317579637579 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.82103668392185 x2[1] (numeric) = 1.867545866081568 absolute error = 0.04650918215971855 relative error = 2.553994797049048 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.169999999999781 x1[1] (closed_form) = 2.000027814068223 x1[1] (numeric) = 1.995003681827298 absolute error = 0.005024132240924351 relative error = 0.2512031185558789 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.837622583970786 x2[1] (numeric) = 1.885150771784038 absolute error = 0.04752818781325185 relative error = 2.586395499697855 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.179999999999785 x1[1] (closed_form) = 2.00002753731362 x1[1] (numeric) = 1.99494539501145 absolute error = 0.0050821423021703 relative error = 0.254103616443026 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.854543542831 x2[1] (numeric) = 1.9031121988611 absolute error = 0.04856865603009952 relative error = 2.618900818902231 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.189999999999788 x1[1] (closed_form) = 2.000027263312771 x1[1] (numeric) = 1.994886522403363 absolute error = 0.005140740909408859 relative error = 0.2570335416775232 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.87180632912549 x2[1] (numeric) = 1.921437358353233 absolute error = 0.04963102922774287 relative error = 2.651504509600123 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.199999999999791 x1[1] (closed_form) = 2.000026992038277 x1[1] (numeric) = 1.994827058115727 absolute error = 0.005199933922549693 relative error = 0.2599931872544536 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.889417848212646 x2[1] (numeric) = 1.94013360706235 absolute error = 0.05071575884970358 relative error = 2.684200262937059 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.209999999999795 x1[1] (closed_form) = 2.000026723463009 x1[1] (numeric) = 1.994766996202066 absolute error = 0.005259727260942482 relative error = 0.2629828491409036 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.907385144948493 x2[1] (numeric) = 1.959208450497267 absolute error = 0.05182330554877379 relative error = 2.716981711114942 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.219999999999798 x1[1] (closed_form) = 2.000026457560109 x1[1] (numeric) = 1.994706330656137 absolute error = 0.005320126903971767 relative error = 0.2660028263057053 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.925715406504721 x2[1] (numeric) = 1.978669545878679 absolute error = 0.0529541393739581 relative error = 2.749842432328709 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.229999999999801 x1[1] (closed_form) = 2.000026194302987 x1[1] (numeric) = 1.994645055411336 absolute error = 0.005381138891651371 relative error = 0.2690534207491572 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.944415965243653 x2[1] (numeric) = 1.998524705204856 absolute error = 0.05410873996120302 relative error = 2.78277595578283 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.239999999999805 x1[1] (closed_form) = 2.000025933665317 x1[1] (numeric) = 1.994583164340086 absolute error = 0.005442769325231911 relative error = 0.2721349375334 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.963494301651295 x2[1] (numeric) = 2.018781898379278 absolute error = 0.05528759672798267 relative error = 2.815775766778946 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.249999999999808 x1[1] (closed_form) = 2.000025675621036 x1[1] (numeric) = 1.994520651253228 absolute error = 0.005505024367808087 relative error = 0.2752476848127812 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 1.982958047329623 x2[1] (numeric) = 2.039449256401455 absolute error = 0.05649120907183236 relative error = 2.848835311866885 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.259999999999811 x1[1] (closed_form) = 2.000025420144338 x1[1] (numeric) = 1.994457509899403 absolute error = 0.005567910244935304 relative error = 0.2783919738646861 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.00281498804933 x2[1] (numeric) = 2.060535074622227 absolute error = 0.05772008657289707 relative error = 2.881948004049758 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.269999999999815 x1[1] (closed_form) = 2.000025167209676 x1[1] (numeric) = 1.994393733964422 absolute error = 0.005631433245253614 relative error = 0.2815681191207348 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.023073066864241 x2[1] (numeric) = 2.082047816064822 absolute error = 0.05897474920058121 relative error = 2.915107228034623 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.279999999999818 x1[1] (closed_form) = 2.000024916791756 x1[1] (numeric) = 1.994329317070639 absolute error = 0.005695599721116551 relative error = 0.2847764381982238 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.043740387288641 x2[1] (numeric) = 2.103996114813027 absolute error = 0.06025572752438535 relative error = 2.948306345519967 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.289999999999822 x1[1] (closed_form) = 2.000024668865535 x1[1] (numeric) = 1.99426425277631 absolute error = 0.005760416089225284 relative error = 0.2880172519318344 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.06482521653879 x2[1] (numeric) = 2.126388779467795 absolute error = 0.06156356292900478 relative error = 2.981538700510549 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.299999999999825 x1[1] (closed_form) = 2.000024423406222 x1[1] (numeric) = 1.994198534574952 absolute error = 0.005825888831270332 relative error = 0.2912908844057173 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.086335988839919 x2[1] (numeric) = 2.149234796673716 absolute error = 0.06289880783379687 relative error = 3.014797624651576 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.309999999999828 x1[1] (closed_form) = 2.00002418038927 x1[1] (numeric) = 1.994132155894689 absolute error = 0.005892024494580816 relative error = 0.2945976629859564 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.108281308800036 x2[1] (numeric) = 2.172543334716712 absolute error = 0.06426202591667618 relative error = 3.048076442571698 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.319999999999832 x1[1] (closed_form) = 2.000023939790376 x1[1] (numeric) = 1.994065110097599 absolute error = 0.005958829692777279 relative error = 0.2979379183532087 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.130669954851885 x2[1] (numeric) = 2.196323747194436 absolute error = 0.06565379234255131 relative error = 3.081368477226933 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.329999999999835 x1[1] (closed_form) = 2.000023701585482 x1[1] (numeric) = 1.993997390479046 absolute error = 0.006026311106436255 relative error = 0.3013119845359336 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.153510882764435 x2[1] (numeric) = 2.220585576760821 absolute error = 0.06707469399638555 relative error = 3.114667055235987 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.339999999999838 x1[1] (closed_form) = 2.000023465750766 x1[1] (numeric) = 1.993928990267012 absolute error = 0.006094475483754414 relative error = 0.3047201989435998 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.176813229225314 x2[1] (numeric) = 2.245338558946287 absolute error = 0.06852532972097336 relative error = 3.147965512197858 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.349999999999842 x1[1] (closed_form) = 2.000023232262645 x1[1] (numeric) = 1.993859902621418 absolute error = 0.0061633296412269 relative error = 0.308162902400602 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.200586315495598 x2[1] (numeric) = 2.27059262605513 absolute error = 0.0700063105595321 relative error = 3.181257197982978 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.359999999999845 x1[1] (closed_form) = 2.000023001097769 x1[1] (numeric) = 1.993790120633443 absolute error = 0.006232880464326573 relative error = 0.3116404391802235 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.224839651138451 x2[1] (numeric) = 2.296357911141656 absolute error = 0.07151826000320494 relative error = 3.214535481988962 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.369999999999848 x1[1] (closed_form) = 2.000022772233022 x1[1] (numeric) = 1.993719637324828 absolute error = 0.006303134908194119 relative error = 0.315153157039141 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.249582937823069 x2[1] (numeric) = 2.322644752066644 absolute error = 0.07306181424357439 relative error = 3.247793758352231 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.379999999999852 x1[1] (closed_form) = 2.000022545645518 x1[1] (numeric) = 1.993648445647186 absolute error = 0.006374099998331939 relative error = 0.3187014072521199 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.274826073205487 x2[1] (numeric) = 2.349463695635769 absolute error = 0.07463762243028249 relative error = 3.281025451106671 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.389999999999855 x1[1] (closed_form) = 2.000022321312597 x1[1] (numeric) = 1.993576538481289 absolute error = 0.006445782831308255 relative error = 0.322285544647219 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.300579154887764 x2[1] (numeric) = 2.37682550182164 absolute error = 0.07624634693387566 relative error = 3.314224019281589 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.399999999999858 x1[1] (closed_form) = 2.000022099211825 x1[1] (numeric) = 1.993503908636359 absolute error = 0.006518190575466098 relative error = 0.3259059276412399 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.326852484457172 x2[1] (numeric) = 2.404741148071134 absolute error = 0.07788866361396174 relative error = 3.347382961929891 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.409999999999862 x1[1] (closed_form) = 2.000021879320994 x1[1] (numeric) = 1.993430548849353 absolute error = 0.006591330471641177 relative error = 0.3295629182756205 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.353656571606959 x2[1] (numeric) = 2.433221833699754 absolute error = 0.07956526209279513 relative error = 3.380495823078893 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.419999999999865 x1[1] (closed_form) = 2.000021661618113 x1[1] (numeric) = 1.99335645178423 absolute error = 0.006665209833882413 relative error = 0.3332568822524622 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.381002138340372 x2[1] (numeric) = 2.462278984374782 absolute error = 0.08127684603440999 relative error = 3.413556196596376 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.429999999999868 x1[1] (closed_form) = 2.000021446081411 x1[1] (numeric) = 1.993281610031222 absolute error = 0.00673983605018913 relative error = 0.3369881889713888 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.408900123259603 x2[1] (numeric) = 2.491924256688988 absolute error = 0.08302413342938486 relative error = 3.446557730963157 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.439999999999872 x1[1] (closed_form) = 2.000021232689336 x1[1] (numeric) = 1.993206016106092 absolute error = 0.006815216583243799 relative error = 0.3407572115661839 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.437361685941375 x2[1] (numeric) = 2.522169542826767 absolute error = 0.0848078568853925 relative error = 3.479494133946617 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.449999999999875 x1[1] (closed_form) = 2.000021021420546 x1[1] (numeric) = 1.993129662449383 absolute error = 0.006891358971163219 relative error = 0.34456432694235 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.466398211400923 x2[1] (numeric) = 2.553026975324533 absolute error = 0.0866287639236103 relative error = 3.512359177166482 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.459999999999878 x1[1] (closed_form) = 2.000020812253918 x1[1] (numeric) = 1.993052541425667 absolute error = 0.006968270828250578 relative error = 0.3484099158147112 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.496021314646154 x2[1] (numeric) = 2.584508931927299 absolute error = 0.08848761728114551 relative error = 3.545146700547702 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.469999999999882 x1[1] (closed_form) = 2.000020605168531 x1[1] (numeric) = 1.992974645322777 absolute error = 0.007045959845754179 relative error = 0.3522943627453505 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.526242845323805 x2[1] (numeric) = 2.61662804054338 absolute error = 0.09038519521957555 relative error = 3.577850616653218 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.479999999999885 x1[1] (closed_form) = 2.000020400143678 x1[1] (numeric) = 1.992895966351037 absolute error = 0.007124433792641272 relative error = 0.3562180561823001 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.55707489245946 x2[1] (numeric) = 2.649397184299188 absolute error = 0.09232229183972818 relative error = 3.610464914890711 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.489999999999888 x1[1] (closed_form) = 2.000020197158857 x1[1] (numeric) = 1.992816496642486 absolute error = 0.007203700516371647 relative error = 0.3601813884982219 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.588529789293325 x2[1] (numeric) = 2.682829506696166 absolute error = 0.09429971740284149 relative error = 3.642983665588239 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.499999999999892 x1[1] (closed_form) = 2.000019996193769 x1[1] (numeric) = 1.992736228250085 absolute error = 0.007283767943683683 relative error = 0.3641847560297096 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.620620118213687 x2[1] (numeric) = 2.716938416871903 absolute error = 0.09631829865821562 relative error = 3.67540102393283 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.509999999999895 x1[1] (closed_form) = 2.000019797228316 x1[1] (numeric) = 1.992655153146929 absolute error = 0.00736464408138704 relative error = 0.3682285591169233 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.65335871579004 x2[1] (numeric) = 2.751737594967542 absolute error = 0.09837887917750221 relative error = 3.70771123376772 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.519999999999898 x1[1] (closed_form) = 2.000019600242604 x1[1] (numeric) = 1.99257326322544 absolute error = 0.007446337017163351 relative error = 0.3723132021436243 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.686758677907884 x2[1] (numeric) = 2.787240997603632 absolute error = 0.1004823196957481 relative error = 3.739908631243029 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.529999999999902 x1[1] (closed_form) = 2.000019405216931 x1[1] (numeric) = 1.992490550296558 absolute error = 0.00752885492037314 relative error = 0.3764390935775209 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.720833365007254 x2[1] (numeric) = 2.823462863466614 absolute error = 0.1026294984593594 relative error = 3.771987648316926 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.539999999999905 x1[1] (closed_form) = 2.000019212131797 x1[1] (numeric) = 1.99240700608892 absolute error = 0.007612206042876268 relative error = 0.3806066460112905 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.755596407427077 x2[1] (numeric) = 2.860417719008166 absolute error = 0.1048213115810888 relative error = 3.80394281610206 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.549999999999908 x1[1] (closed_form) = 2.000019020967891 x1[1] (numeric) = 1.992322622248037 absolute error = 0.007696398719853947 relative error = 0.3848162762036806 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.79106171085749 x2[1] (numeric) = 2.898120384259702 absolute error = 0.1070586734022125 relative error = 3.835768768054978 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.559999999999912 x1[1] (closed_form) = 2.000018831706098 x1[1] (numeric) = 1.992237390335454 absolute error = 0.007781441370644293 relative error = 0.389068405121286 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.827243461902298 x2[1] (numeric) = 2.936585978764344 absolute error = 0.1093425168620463 relative error = 3.867460243005592 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.569999999999915 x1[1] (closed_form) = 2.000018644327492 x1[1] (numeric) = 1.992151301827908 absolute error = 0.007867342499583874 relative error = 0.3933634579806268 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.864156133753814 x2[1] (numeric) = 2.975829927628733 absolute error = 0.1116737938749188 relative error = 3.899012088023189 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.579999999999918 x1[1] (closed_form) = 2.000018458813333 x1[1] (numeric) = 1.992064348116477 absolute error = 0.007954110696855921 relative error = 0.3977018642905584 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.901814491982324 x2[1] (numeric) = 3.015867967697115 absolute error = 0.1140534757147913 relative error = 3.930419261118158 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.589999999999922 x1[1] (closed_form) = 2.000018275145072 x1[1] (numeric) = 1.991976520505718 absolute error = 0.008041754639353638 relative error = 0.4020840578954373 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.940233600442513 x2[1] (numeric) = 3.056716153850169 absolute error = 0.1164825534076561 relative error = 3.961676833776921 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.599999999999925 x1[1] (closed_form) = 2.000018093304341 x1[1] (numeric) = 1.991887810212797 absolute error = 0.008130283091543955 relative error = 0.4065104770183086 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 2.97942882729921 x2[1] (numeric) = 3.098390865431075 absolute error = 0.118962038131865 relative error = 3.992779993328508 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.609999999999928 x1[1] (closed_form) = 2.000017913272954 x1[1] (numeric) = 1.991798208366609 absolute error = 0.008219704906345271 relative error = 0.4109815643047933 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.019415851174861 x2[1] (numeric) = 3.140908812801432 absolute error = 0.1214929616265708 relative error = 4.023724045142625 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.619999999999932 x1[1] (closed_form) = 2.00001773503291 x1[1] (numeric) = 1.991707706006896 absolute error = 0.008310029026014076 relative error = 0.4154977668674191 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.060210667421184 x2[1] (numeric) = 3.184287044029611 absolute error = 0.1240763766084267 relative error = 4.054504414657993 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.629999999999935 x1[1] (closed_form) = 2.000017558566384 x1[1] (numeric) = 1.991616294083347 absolute error = 0.008401264483037574 relative error = 0.4200595363302517 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.101829594517531 x2[1] (numeric) = 3.228542951714248 absolute error = 0.1267133571967176 relative error = 4.085116649240915 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.639999999999938 x1[1] (closed_form) = 2.00001738385573 x1[1] (numeric) = 1.991523963454692 absolute error = 0.008493420401037843 relative error = 0.4246673288741031 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.144289280598488 x2[1] (numeric) = 3.273694279945584 absolute error = 0.1294049993470967 relative error = 4.115556419874498 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.649999999999942 x1[1] (closed_form) = 2.000017210883475 x1[1] (numeric) = 1.991430704887792 absolute error = 0.008586505995682669 relative error = 0.4293216052820726 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.187606710113361 x2[1] (numeric) = 3.31975913140745 absolute error = 0.1321524212940886 relative error = 4.145819522678467 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.659999999999945 x1[1] (closed_form) = 2.000017039632323 x1[1] (numeric) = 1.991336509056713 absolute error = 0.008680530575609691 relative error = 0.4340228309857547 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.231799210620179 x2[1] (numeric) = 3.36675597462274 absolute error = 0.1349567640025611 relative error = 4.175901880261399 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.669999999999948 x1[1] (closed_form) = 2.000016870085148 x1[1] (numeric) = 1.991241366541793 absolute error = 0.00877550354335499 relative error = 0.4387714761116682 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.276884459716947 x2[1] (numeric) = 3.414703651345263 absolute error = 0.1378191916283162 relative error = 4.205799542905485 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.679999999999952 x1[1] (closed_form) = 2.000016702224997 x1[1] (numeric) = 1.991145267828702 absolute error = 0.00887143439629523 relative error = 0.4435680155283631 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.322880492112928 x2[1] (numeric) = 3.463621384100936 absolute error = 0.140740891988008 relative error = 4.235508689586207 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.689999999999955 x1[1] (closed_form) = 2.000016536035081 x1[1] (numeric) = 1.991048203307487 absolute error = 0.008968332727594674 relative error = 0.4484129288937722 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.369805706842761 x2[1] (numeric) = 3.513528783881329 absolute error = 0.143723077038568 relative error = 4.265025628828466 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.699999999999958 x1[1] (closed_form) = 2.000016371498783 x1[1] (numeric) = 1.990950163271616 absolute error = 0.009066208227167305 relative error = 0.4533067007033159 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.417678874626327 x2[1] (numeric) = 3.564445857992649 absolute error = 0.1467669833663225 relative error = 4.29434679940108 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.709999999999962 x1[1] (closed_form) = 2.000016208599648 x1[1] (numeric) = 1.990851137917003 absolute error = 0.00916507068264516 relative error = 0.4582498203383196 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.466519145377283 x2[1] (numeric) = 3.616393018063298 absolute error = 0.1498738726860154 relative error = 4.323468770852661 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.719999999999965 x1[1] (closed_form) = 2.000016047321387 x1[1] (numeric) = 1.990751117341031 absolute error = 0.009264929980356218 relative error = 0.4632427821149084 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.516346055863286 x2[1] (numeric) = 3.669391088213209 absolute error = 0.1530450323499228 relative error = 4.352388243891123 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.729999999999968 x1[1] (closed_form) = 2.000015887647872 x1[1] (numeric) = 1.990650091541559 absolute error = 0.009365796106312496 relative error = 0.4682860853334114 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.567179537520965 x2[1] (numeric) = 3.723461313388228 absolute error = 0.1562817758672628 relative error = 4.381102050609761 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.739999999999972 x1[1] (closed_form) = 2.000015729563134 x1[1] (numeric) = 1.990548050415922 absolute error = 0.009467679147211472 relative error = 0.4733802343284325 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.619039924428754 x2[1] (numeric) = 3.778625367862873 absolute error = 0.1595854434341182 relative error = 4.409607154563454 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.749999999999975 x1[1] (closed_form) = 2.000015573051366 x1[1] (numeric) = 1.990444983759923 absolute error = 0.009570589291442388 relative error = 0.4785257385191665 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.671947961440802 x2[1] (numeric) = 3.834905363914884 absolute error = 0.1629574024740821 relative error = 4.437900650698238 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.759999999999978 x1[1] (closed_form) = 2.000015418096916 x1[1] (numeric) = 1.990340881266811 absolute error = 0.009674536830104774 relative error = 0.4837231124603246 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.725924812485191 x2[1] (numeric) = 3.892323860675022 absolute error = 0.1663990481898314 relative error = 4.465979765137646 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.769999999999982 x1[1] (closed_form) = 2.000015264684288 x1[1] (numeric) = 1.990235732526249 absolute error = 0.009779532158039173 relative error = 0.4889728758936707 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.780992069029786 x2[1] (numeric) = 3.950903873155654 absolute error = 0.1699118041258685 relative error = 4.493841854830137 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.779999999999985 x1[1] (closed_form) = 2.000015112798141 x1[1] (numeric) = 1.990129527023275 absolute error = 0.00988558577486609 relative error = 0.4942755537999691 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.837171758719116 x2[1] (numeric) = 4.010668881461754 absolute error = 0.1734971227426385 relative error = 4.52148440706114 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.789999999999988 x1[1] (closed_form) = 2.000014962423287 x1[1] (numeric) = 1.990022254137252 absolute error = 0.009992708286035823 relative error = 0.4996316764514757 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.894486354185724 x2[1] (numeric) = 4.071642840187991 absolute error = 0.177156486002267 relative error = 4.548905038834257 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.799999999999992 x1[1] (closed_form) = 2.000014813544688 x1[1] (numeric) = 1.9899139031408 absolute error = 0.01010091040388827 relative error = 0.505041779464929 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 3.952958782039521 x2[1] (numeric) = 4.13385018800566 absolute error = 0.1808914059661388 relative error = 4.576101496125601 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.809999999999995 x1[1] (closed_form) = 2.000014666147456 x1[1] (numeric) = 1.98980446319873 absolute error = 0.01021020294872588 relative error = 0.5105064038551957 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.012612432038734 x2[1] (numeric) = 4.19731585744331 absolute error = 0.1847034254045754 relative error = 4.603071653016112 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.819999999999999 x1[1] (closed_form) = 2.00001452021685 x1[1] (numeric) = 1.989693923366957 absolute error = 0.01032059684989339 relative error = 0.5160260960892619 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.07347116644613 x2[1] (numeric) = 4.262065284864965 absolute error = 0.1885941184188349 relative error = 4.629813510705967 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.830000000000002 x1[1] (closed_form) = 2.000014375738279 x1[1] (numeric) = 1.989582272591405 absolute error = 0.01043210314687437 relative error = 0.5216014081410539 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.135559329574224 x2[1] (numeric) = 4.328124420649927 absolute error = 0.1925650910757035 relative error = 4.656325196416153 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.840000000000005 x1[1] (closed_form) = 2.000014232697293 x1[1] (numeric) = 1.989469499706903 absolute error = 0.0105447329903896 relative error = 0.5272328975463635 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.198901757523346 x2[1] (numeric) = 4.395519739578252 absolute error = 0.1966179820549057 relative error = 4.682604962181291 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.850000000000009 x1[1] (closed_form) = 2.000014091079588 x1[1] (numeric) = 1.989355593436069 absolute error = 0.01065849764351912 relative error = 0.532921127458945 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.263523788116407 x2[1] (numeric) = 4.46427825142604 absolute error = 0.2007544633096332 relative error = 4.708651183539544 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.860000000000012 x1[1] (closed_form) = 2.000013950871004 x1[1] (numeric) = 1.989240542388182 absolute error = 0.01077340848282193 relative error = 0.538666666706506 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.329451271034363 x2[1] (numeric) = 4.534427511774782 absolute error = 0.204976240740419 relative error = 4.734462358123445 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.870000000000015 x1[1] (closed_form) = 2.000013812057518 x1[1] (numeric) = 1.989124335058041 absolute error = 0.0108894769994774 relative error = 0.544470089847771 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.396710578156436 x2[1] (numeric) = 4.60599563303908 absolute error = 0.2092850548826437 relative error = 4.760037104157036 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.880000000000019 x1[1] (closed_form) = 2.000013674625249 x1[1] (numeric) = 1.989006959824815 absolute error = 0.01100671480043447 relative error = 0.5503319772299478 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.465328614109219 x2[1] (numeric) = 4.679011295717173 absolute error = 0.2136826816079544 relative error = 4.785374158864267 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.890000000000022 x1[1] (closed_form) = 2.000013538560455 x1[1] (numeric) = 1.988888404950883 absolute error = 0.01112513360957146 relative error = 0.5562529150467136 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.535332827028884 x2[1] (numeric) = 4.753503759868742 absolute error = 0.2181709328398584 relative error = 4.810472376793197 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.900000000000025 x1[1] (closed_form) = 2.000013403849528 x1[1] (numeric) = 1.988768658580661 absolute error = 0.0112447452688671 relative error = 0.5622334953967689 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.606751219540806 x2[1] (numeric) = 4.829502876824611 absolute error = 0.2227516572838049 relative error = 4.835330728061508 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.910000000000029 x1[1] (closed_form) = 2.000013270478997 x1[1] (numeric) = 1.988647708739409 absolute error = 0.01136556173958736 relative error = 0.5682743163431784 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.679612359960982 x2[1] (numeric) = 4.907039101133007 absolute error = 0.2274267411720254 relative error = 4.859948296527743 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.920000000000032 x1[1] (closed_form) = 2.000013138435524 x1[1] (numeric) = 1.988525543332044 absolute error = 0.0114875951034803 relative error = 0.5743759819731119 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.753945393723743 x2[1] (numeric) = 4.986143502747182 absolute error = 0.2321981090234386 relative error = 4.884324277893292 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.930000000000035 x1[1] (closed_form) = 2.000013007705907 x1[1] (numeric) = 1.988402150141923 absolute error = 0.0116108575639835 relative error = 0.580539102458219 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.829780055040318 x2[1] (numeric) = 5.066847779459246 absolute error = 0.2370677244189272 relative error = 4.908457977740111 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.940000000000039 x1[1] (closed_form) = 2.00001287827707 x1[1] (numeric) = 1.988277516829625 absolute error = 0.01173536144744558 relative error = 0.5867642941157017 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.907146678792914 x2[1] (numeric) = 5.149184269585202 absolute error = 0.2420375907922878 relative error = 4.932348809508696 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.950000000000042 x1[1] (closed_form) = 2.000012750136072 x1[1] (numeric) = 1.988151630931713 absolute error = 0.01186111920435962 relative error = 0.5930521794699877 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 4.986076212669071 x2[1] (numeric) = 5.233185964906263 absolute error = 0.2471097522371926 relative error = 4.955996292421561 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.960000000000045 x1[1] (closed_form) = 2.000012623270099 x1[1] (numeric) = 1.988024479859493 absolute error = 0.01198814341060528 relative error = 0.5994033873148359 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.066600229541154 x2[1] (numeric) = 5.318886523871611 absolute error = 0.2522862943304567 relative error = 4.979400049356261 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.970000000000049 x1[1] (closed_form) = 2.000012497666463 x1[1] (numeric) = 1.987896050897754 absolute error = 0.01211644676870893 relative error = 0.6058185527763419 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.148750940095925 x2[1] (numeric) = 5.406320285067888 absolute error = 0.2575693449719623 relative error = 5.002559804673005 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.980000000000052 x1[1] (closed_form) = 2.000012373312603 x1[1] (numeric) = 1.98776633120349 absolute error = 0.01224604210911329 relative error = 0.6122983173764206 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.232561205719242 x2[1] (numeric) = 5.495522280960808 absolute error = 0.2629610752415656 relative error = 5.0254753820012 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 4.990000000000055 x1[1] (closed_form) = 2.000012250196086 x1[1] (numeric) = 1.987635307804625 absolute error = 0.01237694239146081 relative error = 0.6188433290969766 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.318064551641059 x2[1] (numeric) = 5.586528251914403 absolute error = 0.2684637002733448 relative error = 5.048146701989575 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.000000000000059 x1[1] (closed_form) = 2.000012128304598 x1[1] (numeric) = 1.987502967598709 absolute error = 0.01250916070588892 relative error = 0.6254542424446637 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.40529518034596 x2[1] (numeric) = 5.679374660493471 absolute error = 0.2740794801475106 relative error = 5.070573780023766 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.010000000000062 x1[1] (closed_form) = 2.000012007625951 x1[1] (numeric) = 1.987369297351612 absolute error = 0.01264271027433894 relative error = 0.6321317185163331 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.494287985254611 x2[1] (numeric) = 5.774098706054982 absolute error = 0.2798107208003708 relative error = 5.09275672391614 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.020000000000065 x1[1] (closed_form) = 2.000011888148077 x1[1] (numeric) = 1.987234283696198 absolute error = 0.01277760445187859 relative error = 0.6388764250651575 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.585078564681599 x2[1] (numeric) = 5.870738339634284 absolute error = 0.2856597749526841 relative error = 5.114695731571492 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.030000000000069 x1[1] (closed_form) = 2.000011769859027 x1[1] (numeric) = 1.987097913130988 absolute error = 0.01291385672803891 relative error = 0.6456890365674776 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.677703236075224 x2[1] (numeric) = 5.969332279132032 absolute error = 0.2916290430568074 relative error = 5.136391088633212 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.040000000000072 x1[1] (closed_form) = 2.000011652746973 x1[1] (numeric) = 1.986960172018812 absolute error = 0.01305148072816098 relative error = 0.6525702342901378 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.772199050544971 x2[1] (numeric) = 6.069920024807939 absolute error = 0.2977209742629681 relative error = 5.15784316611291 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.050000000000075 x1[1] (closed_form) = 2.000011536800203 x1[1] (numeric) = 1.986821046585445 absolute error = 0.01319049021475815 relative error = 0.6595207063585982 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.868603807682446 x2[1] (numeric) = 6.172541875087546 absolute error = 0.3039380674051007 relative error = 5.179052418008228 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.060000000000079 x1[1] (closed_form) = 2.000011422007123 x1[1] (numeric) = 1.986680522918227 absolute error = 0.01333089908889651 relative error = 0.6665411478259562 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 5.966956070681713 x2[1] (numeric) = 6.277238942688328 absolute error = 0.3102828720066153 relative error = 5.200019378912004 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.070000000000082 x1[1] (closed_form) = 2.000011308356254 x1[1] (numeric) = 1.986538586964673 absolute error = 0.0134727213915804 relative error = 0.6736322607422258 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.067295181765092 x2[1] (numeric) = 6.384053171071592 absolute error = 0.3167579893064998 relative error = 5.22074466161623 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.080000000000085 x1[1] (closed_form) = 2.000011195836229 x1[1] (numeric) = 1.986395224531072 absolute error = 0.01361597130515713 relative error = 0.6807947542245695 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.169661277920576 x2[1] (numeric) = 6.493027351226738 absolute error = 0.3233660733061621 relative error = 5.241228954714178 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.090000000000089 x1[1] (closed_form) = 2.000011084435797 x1[1] (numeric) = 1.986250421281058 absolute error = 0.01376066315473845 relative error = 0.6880293445283747 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.27409530695715 x2[1] (numeric) = 6.604205138794621 absolute error = 0.3301098318374702 relative error = 5.261473020204549 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.100000000000092 x1[1] (closed_form) = 2.000010974143818 x1[1] (numeric) = 1.986104162734188 absolute error = 0.01390681140963013 relative error = 0.6953367551187299 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.380639043884472 x2[1] (numeric) = 6.717631071536835 absolute error = 0.3369920276523626 relative error = 5.281477691099809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.110000000000095 x1[1] (closed_form) = 2.000010864949263 x1[1] (numeric) = 1.985956434264484 absolute error = 0.0140544306847783 relative error = 0.7027177167427456 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.489335107623429 x2[1] (numeric) = 6.833350587157932 absolute error = 0.3440154795345034 relative error = 5.301243869042406 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.120000000000099 x1[1] (closed_form) = 2.000010756841211 x1[1] (numeric) = 1.985807221098977 absolute error = 0.0142035357422341 relative error = 0.7101729675027829 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.600226978054278 x2[1] (numeric) = 6.951410041487691 absolute error = 0.351183063433413 relative error = 5.320772521931366 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.130000000000102 x1[1] (closed_form) = 2.000010649808853 x1[1] (numeric) = 1.985656508316225 absolute error = 0.01435414149262759 relative error = 0.7177032529301514 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.713359013409176 x2[1] (numeric) = 7.07185672703071 absolute error = 0.3584977136215342 relative error = 5.340064681562174 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.140000000000105 x1[1] (closed_form) = 2.000010543841484 x1[1] (numeric) = 1.985504280844825 absolute error = 0.01450626299665903 relative error = 0.7253093260596709 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.82877646801606 x2[1] (numeric) = 7.194738891890761 absolute error = 0.3659624238747012 relative error = 5.359121441282483 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.150000000000109 x1[1] (closed_form) = 2.000010438928508 x1[1] (numeric) = 1.985350523461902 absolute error = 0.01465991546660605 relative error = 0.7329919475050342 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 6.946525510400995 x2[1] (numeric) = 7.320105759077457 absolute error = 0.3735802486764621 relative error = 5.377943953665792 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.160000000000112 x1[1] (closed_form) = 2.000010335059434 x1[1] (numeric) = 1.985195220791591 absolute error = 0.01481511426784277 relative error = 0.7407518855347569 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.066653241756185 x2[1] (numeric) = 7.44800754620296 absolute error = 0.3813543044467744 relative error = 5.396533428205984 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.170000000000115 x1[1] (closed_form) = 2.000010232223874 x1[1] (numeric) = 1.985038357303494 absolute error = 0.01497187492037999 relative error = 0.7485899161491935 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.189207714781096 x2[1] (numeric) = 7.57849548557661 absolute error = 0.389287770795514 relative error = 5.414891129034062 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.180000000000119 x1[1] (closed_form) = 2.000010130411546 x1[1] (numeric) = 1.984879917311133 absolute error = 0.01513021310041296 relative error = 0.7565068231579199 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.314237952904159 x2[1] (numeric) = 7.711621844705532 absolute error = 0.3973838918013737 relative error = 5.433018372660275 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.190000000000122 x1[1] (closed_form) = 2.000010029612267 x1[1] (numeric) = 1.984719884970376 absolute error = 0.01529014464189116 relative error = 0.7645033982582272 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.441793969892803 x2[1] (numeric) = 7.847439947209388 absolute error = 0.4056459773165848 relative error = 5.450916525742354 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.200000000000125 x1[1] (closed_form) = 2.000009929815957 x1[1] (numeric) = 1.984558244277854 absolute error = 0.01545168553810305 relative error = 0.7725804411143564 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.571926789859638 x2[1] (numeric) = 7.986004194157664 absolute error = 0.4140774042980269 relative error = 5.468587002882296 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.210000000000129 x1[1] (closed_form) = 2.000009831012638 x1[1] (numeric) = 1.984394979069366 absolute error = 0.01561485194327195 relative error = 0.7807387594372919 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.704688467672764 x2[1] (numeric) = 8.127370085838029 absolute error = 0.4226816181652646 relative error = 5.486031264453414 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.220000000000132 x1[1] (closed_form) = 2.000009733192428 x1[1] (numeric) = 1.984230073018253 absolute error = 0.01577966017417465 relative error = 0.7889791690656954 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.84013210977843 x2[1] (numeric) = 8.271594243964465 absolute error = 0.4314621341860354 relative error = 5.503250814458903 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.230000000000135 x1[1] (closed_form) = 2.000009636345545 x1[1] (numeric) = 1.984063509633774 absolute error = 0.01594612671177109 relative error = 0.7973024940473864 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 7.978311895444305 x2[1] (numeric) = 8.418734434334052 absolute error = 0.4404225388897469 relative error = 5.520247198423423 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.240000000000139 x1[1] (closed_form) = 2.000009540462305 x1[1] (numeric) = 1.98389527225945 absolute error = 0.01611426820285478 relative error = 0.8057095667218639 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 8.119283098431923 x2[1] (numeric) = 8.568849589941484 absolute error = 0.449566491509561 relative error = 5.537022001319127 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.250000000000142 x1[1] (closed_form) = 2.000009445533118 x1[1] (numeric) = 1.983725344071404 absolute error = 0.01628410146171433 relative error = 0.8142012278033853 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 8.263102109106914 x2[1] (numeric) = 8.721999834560528 absolute error = 0.458897725453614 relative error = 5.55357684552699 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.260000000000145 x1[1] (closed_form) = 2.000009351548494 x1[1] (numeric) = 1.983553708076676 absolute error = 0.01645564347181749 relative error = 0.8227783264651649 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 8.409826456995903 x2[1] (numeric) = 8.878246506801942 absolute error = 0.4684200498060385 relative error = 5.569913388835422 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.270000000000149 x1[1] (closed_form) = 2.000009258499031 x1[1] (numeric) = 1.983380347111524 absolute error = 0.01662891138750755 relative error = 0.8314417204241958 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 8.559514833799099 x2[1] (numeric) = 9.03765218465735 absolute error = 0.4781373508582512 relative error = 5.586033322475501 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.280000000000152 x1[1] (closed_form) = 2.000009166375427 x1[1] (numeric) = 1.983205243839706 absolute error = 0.01680392253572083 relative error = 0.8401922760271251 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 8.71222711686775 x2[1] (numeric) = 9.200280710539021 absolute error = 0.4880535936712711 relative error = 5.60193836919552 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.290000000000155 x1[1] (closed_form) = 2.000009075168467 x1[1] (numeric) = 1.983028380750749 absolute error = 0.01698069441771821 relative error = 0.8490308683368285 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 8.868024393155876 x2[1] (numeric) = 9.366197216825471 absolute error = 0.498172823669595 relative error = 5.617630281374424 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.300000000000159 x1[1] (closed_form) = 2.000008984869032 x1[1] (numeric) = 1.982849740158197 absolute error = 0.0171592447108353 relative error = 0.8579583812199196 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 9.02696898365588 x2[1] (numeric) = 9.535468151923169 absolute error = 0.5084991682672886 relative error = 5.633110839175043 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.310000000000162 x1[1] (closed_form) = 2.000008895468092 x1[1] (numeric) = 1.982669304197842 absolute error = 0.01733959127024987 relative error = 0.8669757074351223 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 9.189124468327767 x2[1] (numeric) = 9.708161306854748 absolute error = 0.519036838526981 relative error = 5.648381848738143 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.320000000000165 x1[1] (closed_form) = 2.000008806956705 x1[1] (numeric) = 1.982487054825937 absolute error = 0.01752175213076779 relative error = 0.8760837487225668 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 9.354555711531978 x2[1] (numeric) = 9.88434584238435 absolute error = 0.5297901308523727 relative error = 5.663445140417149 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.330000000000169 x1[1] (closed_form) = 2.000008719326022 x1[1] (numeric) = 1.982302973817394 absolute error = 0.0177057455086278 relative error = 0.8852834158940275 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 9.523328887975998 x2[1] (numeric) = 10.06409231669098 absolute error = 0.5407634287149818 relative error = 5.678302567054478 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.340000000000172 x1[1] (closed_form) = 2.000008632567278 x1[1] (numeric) = 1.982117042763958 absolute error = 0.01789158980332051 relative error = 0.8945756289238742 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 9.695511509185129 x2[1] (numeric) = 10.24747271360091 absolute error = 0.5519612044157842 relative error = 5.692956002299403 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.350000000000176 x1[1] (closed_form) = 2.000008546671799 x1[1] (numeric) = 1.981929243072368 absolute error = 0.01807930359943044 relative error = 0.9039613170411743 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 9.871172450507988 x2[1] (numeric) = 10.43456047139049 absolute error = 0.5633880208825044 relative error = 5.707407338968244 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.360000000000179 x1[1] (closed_form) = 2.000008461630994 x1[1] (numeric) = 1.9817395559625 absolute error = 0.01826890566849371 relative error = 0.9134414188225751 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 10.05038197866758 x2[1] (numeric) = 10.62543051217074 absolute error = 0.5750485335031659 relative error = 5.721658487445893 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.370000000000182 x1[1] (closed_form) = 2.000008377436358 x1[1] (numeric) = 1.981547962465483 absolute error = 0.01846041497087492 relative error = 0.9230168822861513 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 10.2332117798689 x2[1] (numeric) = 10.8201592718657 absolute error = 0.5869474919967956 relative error = 5.735711374130429 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.380000000000186 x1[1] (closed_form) = 2.000008294079474 x1[1] (numeric) = 1.98135444342181 absolute error = 0.01865385065766367 relative error = 0.9326886649862277 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 10.41973498847443 x2[1] (numeric) = 11.01882473079633 absolute error = 0.5990897423219046 relative error = 5.74956793991954 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.390000000000189 x1[1] (closed_form) = 2.000008211552004 x1[1] (numeric) = 1.981158979479414 absolute error = 0.01884923207259037 relative error = 0.9424577341091709 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 10.61002621625876 x2[1] (numeric) = 11.22150644488231 absolute error = 0.6114802286235488 relative error = 5.763230138739139 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.400000000000192 x1[1] (closed_form) = 2.000008129845697 x1[1] (numeric) = 1.980961551091738 absolute error = 0.01904657875395888 relative error = 0.9523250665700217 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 10.8041615822544 x2[1] (numeric) = 11.42828557747417 absolute error = 0.6241239952197706 relative error = 5.776699936114255 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.410000000000196 x1[1] (closed_form) = 2.000008048952381 x1[1] (numeric) = 1.980762138515778 absolute error = 0.01924591043660295 relative error = 0.9622916491103177 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 11.00221874320033 x2[1] (numeric) = 11.63924493182851 absolute error = 0.6370261886281874 relative error = 5.789979307781779 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.420000000000199 x1[1] (closed_form) = 2.000007968863966 x1[1] (numeric) = 1.980560721810111 absolute error = 0.01944724705385492 relative error = 0.9723584783965258 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 11.20427692460577 x2[1] (numeric) = 11.85446898423931 absolute error = 0.6501920596335431 relative error = 5.803070238344906 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.430000000000202 x1[1] (closed_form) = 2.000007889572445 x1[1] (numeric) = 1.980357280832899 absolute error = 0.01965060873954538 relative error = 0.9825265611200278 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 11.41041695244143 x2[1] (numeric) = 12.07404391783852 absolute error = 0.6636269653970839 relative error = 5.81597471996929 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.440000000000206 x1[1] (closed_form) = 2.000007811069887 x1[1] (numeric) = 1.980151795239874 absolute error = 0.01985601583001317 relative error = 0.9927969140976187 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 11.62072128547099 x2[1] (numeric) = 12.29805765707953 absolute error = 0.677336371608531 relative error = 5.828694751119988 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.450000000000209 x1[1] (closed_form) = 2.000007733348443 x1[1] (numeric) = 1.979944244482306 absolute error = 0.02006348886613729 relative error = 1.003170564373103 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 11.83527404823568 x2[1] (numeric) = 12.5265999029173 absolute error = 0.691325854681617 relative error = 5.841232335339754 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.460000000000212 x1[1] (closed_form) = 2.000007656400341 x1[1] (numeric) = 1.979734607804946 absolute error = 0.02027304859539503 relative error = 1.013648549320202 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 12.05416106470523 x2[1] (numeric) = 12.75976216869917 absolute error = 0.7056011039939385 relative error = 5.853589480067173 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.470000000000216 x1[1] (closed_form) = 2.000007580217884 x1[1] (numeric) = 1.979522864243951 absolute error = 0.02048471597393364 relative error = 1.024231916746136 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 12.27746989260861 x2[1] (numeric) = 12.99763781678076 absolute error = 0.7201679241721521 relative error = 5.865768195495345 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.480000000000219 x1[1] (closed_form) = 2.000007504793456 x1[1] (numeric) = 1.979308992624789 absolute error = 0.02069851216866669 relative error = 1.03492172499644 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 12.50528985845827 x2[1] (numeric) = 13.24032209588159 absolute error = 0.7350322374233116 relative error = 5.877770493469638 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.490000000000222 x1[1] (closed_form) = 2.000007430119514 x1[1] (numeric) = 1.979092971560121 absolute error = 0.020914458559393 relative error = 1.045719043060916 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 12.73771209328198 x2[1] (numeric) = 13.48791217919537 absolute error = 0.7502000859133915 relative error = 5.889598386424952 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.500000000000226 x1[1] (closed_form) = 2.000007356188589 x1[1] (numeric) = 1.978874779447659 absolute error = 0.02113257674093072 relative error = 1.056624950680333 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 12.9748295690764 x2[1] (numeric) = 13.74050720327021 absolute error = 0.7656776341938141 relative error = 5.901253886360823 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.510000000000229 x1[1] (closed_form) = 2.00000728299329 x1[1] (numeric) = 1.97865439446801 absolute error = 0.02135288852527983 relative error = 1.067640538454553 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 13.21673713599715 x2[1] (numeric) = 13.99820830767426 absolute error = 0.7814711716771097 relative error = 5.912739003855137 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.520000000000232 x1[1] (closed_form) = 2.000007210526296 x1[1] (numeric) = 1.978431794582493 absolute error = 0.02157541594380308 relative error = 1.078766907951576 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 13.46353156030013 x2[1] (numeric) = 14.2611186754627 absolute error = 0.7975871151625675 relative error = 5.924055747114744 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.530000000000236 x1[1] (closed_form) = 2.00000713878036 x1[1] (numeric) = 1.978206957530932 absolute error = 0.02180018124942773 relative error = 1.09000517181763 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 13.71531156304934 x2[1] (numeric) = 14.5293435744623 absolute error = 0.8140320114129604 relative error = 5.935206121062961 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.540000000000239 x1[1] (closed_form) = 2.000007067748309 x1[1] (numeric) = 1.977979860829438 absolute error = 0.02202720691887095 relative error = 1.10135645388844 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 13.97217785960656 x2[1] (numeric) = 14.80299039938993 absolute error = 0.8308125397833663 relative error = 5.946192126463246 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.550000000000242 x1[1] (closed_form) = 2.000006997423038 x1[1] (numeric) = 1.977750481768149 absolute error = 0.02225651565488884 relative error = 1.112821889301679 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 14.23423319991891 x2[1] (numeric) = 15.082168714822 absolute error = 0.8479355149030923 relative error = 5.957015759078073 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.560000000000246 x1[1] (closed_form) = 2.000006927797516 x1[1] (numeric) = 1.977518797408969 absolute error = 0.02248813038854647 relative error = 1.124402624610469 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 14.50158240962013 x2[1] (numeric) = 15.36699029903199 absolute error = 0.8654078894118591 relative error = 5.967679008862926 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.570000000000249 x1[1] (closed_form) = 2.000006858864779 x1[1] (numeric) = 1.977284784583269 absolute error = 0.02272207428150996 relative error = 1.136099817897985 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 14.77433243196231 x2[1] (numeric) = 15.65756918871356 absolute error = 0.8832367567512591 relative error = 5.978183859194164 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.580000000000252 x1[1] (closed_form) = 2.000006790617934 x1[1] (numeric) = 1.97704841988957 absolute error = 0.02295837072836382 relative error = 1.147914638893324 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 15.05259237059452 x2[1] (numeric) = 15.95402172460719 absolute error = 0.9014293540126648 relative error = 5.988532286130469 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.590000000000256 x1[1] (closed_form) = 2.000006723050157 x1[1] (numeric) = 1.976809679691206 absolute error = 0.02319704335895034 relative error = 1.159848269088473 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 15.33647353320583 x2[1] (numeric) = 16.25646659804851 absolute error = 0.9199930648426786 relative error = 5.998726257706842 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.600000000000259 x1[1] (closed_form) = 2.00000665615469 x1[1] (numeric) = 1.976568540113959 absolute error = 0.02343811604073043 relative error = 1.171901901856351 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 15.62608947604979 x2[1] (numeric) = 16.56502489845714 absolute error = 0.9389354224073472 relative error = 6.008767733260837 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.610000000000262 x1[1] (closed_form) = 2.000006589924844 x1[1] (numeric) = 1.97632497704367 absolute error = 0.02368161288117387 relative error = 1.184076742570322 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 15.92155604936848 x2[1] (numeric) = 16.87982016178472 absolute error = 0.9582641124162432 relative error = 6.018658662789762 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.620000000000266 x1[1] (closed_form) = 2.000006524353996 x1[1] (numeric) = 1.976078966123829 absolute error = 0.02392755823016723 relative error = 1.196374008724589 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 16.22299144373414 x2[1] (numeric) = 17.20097841994188 absolute error = 0.9779869762077347 relative error = 6.028400986338839 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.630000000000269 x1[1] (closed_form) = 2.000006459435589 x1[1] (numeric) = 1.975830482753139 absolute error = 0.02417597668245031 relative error = 1.20879493005602 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 16.530516237327 x2[1] (numeric) = 17.52862825122356 absolute error = 0.9981120138965665 relative error = 6.037996633418887 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.640000000000272 x1[1] (closed_form) = 2.000006395163131 x1[1] (numeric) = 1.975579502083056 absolute error = 0.02442689308007551 relative error = 1.221340748667112 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 16.84425344416811 x2[1] (numeric) = 17.86290083175317 absolute error = 1.018647387585062 relative error = 6.047447522453082 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.650000000000276 x1[1] (closed_form) = 2.000006331530195 x1[1] (numeric) = 1.975325999015303 absolute error = 0.02468033251489143 relative error = 1.234012719150176 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 17.16432856332666 x2[1] (numeric) = 18.20392998796597 absolute error = 1.039601424639311 relative error = 6.056755560252594 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.660000000000279 x1[1] (closed_form) = 2.000006268530417 x1[1] (numeric) = 1.975069948199364 absolute error = 0.02493632033105309 relative error = 1.246812108712841 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 17.4908696291212 x2[1] (numeric) = 18.55185225015268 absolute error = 1.060982621031478 relative error = 6.065922641519254 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.670000000000282 x1[1] (closed_form) = 2.000006206157497 x1[1] (numeric) = 1.974811324029942 absolute error = 0.0251948821275545 relative error = 1.25974019730469 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 17.82400726233515 x2[1] (numeric) = 18.90680690708488 absolute error = 1.082799644749727 relative error = 6.074950648375509 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.680000000000286 x1[1] (closed_form) = 2.000006144405198 x1[1] (numeric) = 1.974550100644406 absolute error = 0.0254560437607918 relative error = 1.272798277745413 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 18.16387472246681 x2[1] (numeric) = 19.26893606174385 absolute error = 1.105061339277039 relative error = 6.083841449920343 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.690000000000289 x1[1] (closed_form) = 2.000006083267345 x1[1] (numeric) = 1.974286251920199 absolute error = 0.02571983134714562 relative error = 1.285987655853924 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 18.51060796103494 x2[1] (numeric) = 19.63838468817533 absolute error = 1.127776727140386 relative error = 6.092596901810952 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.700000000000292 x1[1] (closed_form) = 2.000006022737824 x1[1] (numeric) = 1.974019751472229 absolute error = 0.02598627126559472 relative error = 1.299309650579047 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 18.8643456759612 x2[1] (numeric) = 20.01530068949281 absolute error = 1.150955013531615 relative error = 6.10121884586898 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.710000000000296 x1[1] (closed_form) = 2.000005962810581 x1[1] (numeric) = 1.973750572650229 absolute error = 0.02625539016035217 relative error = 1.312765594131321 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 19.22522936705115 x2[1] (numeric) = 20.39983495705264 absolute error = 1.174605590001498 relative error = 6.109709109710686 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.720000000000299 x1[1] (closed_form) = 2.000005903479624 x1[1] (numeric) = 1.973478688536091 absolute error = 0.02652721494353294 relative error = 1.326356832116381 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 19.59340339259607 x2[1] (numeric) = 20.79214143082455 absolute error = 1.198738038228484 relative error = 6.118069506400618 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.730000000000302 x1[1] (closed_form) = 2.00000584473902 x1[1] (numeric) = 1.97320407194118 absolute error = 0.02680177279784068 relative error = 1.340084723669297 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 19.96901502711819 x2[1] (numeric) = 21.19237716098181 absolute error = 1.223362133863617 relative error = 6.126301834127895 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.740000000000306 x1[1] (closed_form) = 2.000005786582896 x1[1] (numeric) = 1.972926695403605 absolute error = 0.02707909117929042 relative error = 1.353950641590709 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 20.3522145202825 x2[1] (numeric) = 21.60070237073566 absolute error = 1.248487850453163 relative error = 6.134407875904373 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.750000000000309 x1[1] (closed_form) = 2.000005729005434 x1[1] (numeric) = 1.972646531185482 absolute error = 0.02735919781995144 relative error = 1.367955972483972 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 20.74315515699854 x2[1] (numeric) = 22.01728052043905 absolute error = 1.274125363440508 relative error = 6.142389399283984 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.760000000000312 x1[1] (closed_form) = 2.000005672000877 x1[1] (numeric) = 1.972363551270156 absolute error = 0.0276421207307207 relative error = 1.382102116893825 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 21.14199331873651 x2[1] (numeric) = 22.44227837298546 absolute error = 1.300285054248949 relative error = 6.150248156102702 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.770000000000316 x1[1] (closed_form) = 2.000005615563525 x1[1] (numeric) = 1.9720777273594 absolute error = 0.02792788820412517 relative error = 1.396390489446509 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 21.54888854608186 x2[1] (numeric) = 22.8758660605289 absolute error = 1.326977514447034 relative error = 6.157985882238517 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.780000000000319 x1[1] (closed_form) = 2.000005559687735 x1[1] (numeric) = 1.971789030870584 absolute error = 0.02821652881715075 relative error = 1.41082251899121 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 21.96400360255369 x2[1] (numeric) = 23.31821715255173 absolute error = 1.35421354999804 relative error = 6.165604297390431 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.790000000000322 x1[1] (closed_form) = 2.000005504367917 x1[1] (numeric) = 1.971497432933819 absolute error = 0.02850807143409861 relative error = 1.425399648742883 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 22.38750453971233 x2[1] (numeric) = 23.76950872530771 absolute error = 1.382004185595374 relative error = 6.173105104876205 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.800000000000326 x1[1] (closed_form) = 2.000005449598542 x1[1] (numeric) = 1.971202904389068 absolute error = 0.02880254520947356 relative error = 1.440123336426661 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 22.81956076358216 x2[1] (numeric) = 24.22992143266777 absolute error = 1.410360669085609 relative error = 6.180489991448082 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.810000000000329 x1[1] (closed_form) = 2.00000539537413 x1[1] (numeric) = 1.970905415783232 absolute error = 0.02909997959089816 relative error = 1.45499505442357 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 23.26034510241629 x2[1] (numeric) = 24.69963957839713 absolute error = 1.439294475980844 relative error = 6.187760627125563 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.820000000000332 x1[1] (closed_form) = 2.000005341689261 x1[1] (numeric) = 1.970604937367201 absolute error = 0.02940040432205926 relative error = 1.470016289917849 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 23.71003387583017 x2[1] (numeric) = 25.17885118989254 absolute error = 1.468817314062374 relative error = 6.19491866504533 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.830000000000336 x1[1] (closed_form) = 2.000005288538564 x1[1] (numeric) = 1.970301439092884 absolute error = 0.02970384944568005 relative error = 1.485188545045555 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 24.16880696533179 x2[1] (numeric) = 25.6677480934091 absolute error = 1.498941128077309 relative error = 6.201965741326908 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.840000000000339 x1[1] (closed_form) = 2.000005235916726 x1[1] (numeric) = 1.969994890610201 absolute error = 0.03001034530652524 relative error = 1.500513337044822 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 24.63684788627664 x2[1] (numeric) = 26.16652599080682 absolute error = 1.529678104530173 relative error = 6.208903474954049 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.850000000000342 x1[1] (closed_form) = 2.000005183818485 x1[1] (numeric) = 1.969685261264047 absolute error = 0.03031992255443772 relative error = 1.515992198407695 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 25.11434386127639 x2[1] (numeric) = 26.6753845378477 absolute error = 1.561040676571309 relative error = 6.215733467670903 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.860000000000346 x1[1] (closed_form) = 2.000005132238629 x1[1] (numeric) = 1.96937252009123 absolute error = 0.03063261214739876 relative error = 1.53162667703314 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 25.60148589509032 x2[1] (numeric) = 27.19452742407443 absolute error = 1.593041528984113 relative error = 6.222457303892724 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.870000000000349 x1[1] (closed_form) = 2.000005081172001 x1[1] (numeric) = 1.969056635817373 absolute error = 0.03094844535462871 relative error = 1.547418336382073 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 26.09846885102986 x2[1] (numeric) = 27.7241624543029 absolute error = 1.625693603273042 relative error = 6.229076550630255 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.880000000000353 x1[1] (closed_form) = 2.000005030613495 x1[1] (numeric) = 1.968737576853784 absolute error = 0.03126745375971152 relative error = 1.563368755633596 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 26.60549152890646 x2[1] (numeric) = 28.26450163176093 absolute error = 1.659010102854477 relative error = 6.235592757427498 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.890000000000356 x1[1] (closed_form) = 2.000004980558054 x1[1] (numeric) = 1.968415311294301 absolute error = 0.03158966926375362 relative error = 1.579479529842934 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 27.12275674455419 x2[1] (numeric) = 28.81576124290665 absolute error = 1.693004498352465 relative error = 6.242007456312099 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.900000000000359 x1[1] (closed_form) = 2.000004931000674 x1[1] (numeric) = 1.9680898069121 absolute error = 0.03191512408857422 relative error = 1.595752270100951 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 27.65047141095878 x2[1] (numeric) = 29.37816194396029 absolute error = 1.727690533001507 relative error = 6.248322161758034 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.910000000000363 x1[1] (closed_form) = 2.000004881936397 x1[1] (numeric) = 1.967761031156471 absolute error = 0.03224385077992675 relative error = 1.612188603695226 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 28.18884662102556 x2[1] (numeric) = 29.9519288491841 absolute error = 1.763082228158545 relative error = 6.254538370660024 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.920000000000366 x1[1] (closed_form) = 2.000004833360319 x1[1] (numeric) = 1.967428951149564 absolute error = 0.03257588221075447 relative error = 1.628790174272826 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 28.73809773201943 x2[1] (numeric) = 30.53729162094578 absolute error = 1.799193888926347 relative error = 6.260657562319163 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.930000000000369 x1[1] (closed_form) = 2.00000478526758 x1[1] (numeric) = 1.967093533683103 absolute error = 0.03291125158447694 relative error = 1.645558642004637 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 29.29844445171069 x2[1] (numeric) = 31.13448456160119 absolute error = 1.836040109890508 relative error = 6.266681198439204 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.940000000000373 x1[1] (closed_form) = 2.000004737653372 x1[1] (numeric) = 1.966754745215061 absolute error = 0.03324999243831073 relative error = 1.662495683751396 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 29.87011092626097 x2[1] (numeric) = 31.74374670723342 absolute error = 1.87363578097245 relative error = 6.272610723133274 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.950000000000376 x1[1] (closed_form) = 2.000004690512933 x1[1] (numeric) = 1.966412551866309 absolute error = 0.03359213864662425 relative error = 1.679602993231431 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 30.45332582988483 x2[1] (numeric) = 32.3653219232855 absolute error = 1.911996093400671 relative error = 6.278447562940292 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.960000000000379 x1[1] (closed_form) = 2.00000464384155 x1[1] (numeric) = 1.966066919417227 absolute error = 0.03393772442432264 relative error = 1.696882281189911 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 31.04832245632236 x2[1] (numeric) = 32.99945900212504 absolute error = 1.951136545802676 relative error = 6.284193126850776 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.970000000000383 x1[1] (closed_form) = 2.000004597634554 x1[1] (numeric) = 1.965717813304282 absolute error = 0.03428678433027232 relative error = 1.714335275570066 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 31.65533881215987 x2[1] (numeric) = 33.64641176257994 absolute error = 1.991072950420072 relative error = 6.289848806341745 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.980000000000386 x1[1] (closed_form) = 2.000004551887326 x1[1] (numeric) = 1.965365198616572 absolute error = 0.03463935327075385 relative error = 1.731963721685835 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 32.27461771203565 x2[1] (numeric) = 34.30643915148482 absolute error = 2.031821439449175 relative error = 6.295415975419844 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 5.990000000000389 x1[1] (closed_form) = 2.00000450659529 x1[1] (numeric) = 1.965009040092334 absolute error = 0.03499546650295593 relative error = 1.749769382396568 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 32.90640687576911 x2[1] (numeric) = 34.97980534727898 absolute error = 2.073398471509861 relative error = 6.300895990672942 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.000000000000393 x1[1] (closed_form) = 2.000004461753918 x1[1] (numeric) = 1.96464930211542 absolute error = 0.03535515963849822 relative error = 1.767754038283158 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 33.550959027452 x2[1] (numeric) = 35.66677986569704 absolute error = 2.115820838245035 relative error = 6.306290191329054 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.010000000000396 x1[1] (closed_form) = 2.000004417358725 x1[1] (numeric) = 1.96428594871173 absolute error = 0.03571846864699424 relative error = 1.785919487826197 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 34.20853199654134 x2[1] (numeric) = 36.36763766759501 absolute error = 2.159105671053666 relative error = 6.311599899323254 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.020000000000399 x1[1] (closed_form) = 2.000004373405271 x1[1] (numeric) = 1.963918943545623 absolute error = 0.0360854298596478 relative error = 1.804267547585788 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 34.87938882099476 x2[1] (numeric) = 37.08265926895438 absolute error = 2.203270447959618 relative error = 6.316826419370671 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.030000000000403 x1[1] (closed_form) = 2.000004329889161 x1[1] (numeric) = 1.963548249916277 absolute error = 0.0364560799728848 relative error = 1.822800052383145 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 35.56379785248912 x2[1] (numeric) = 37.81213085310867 absolute error = 2.248333000619553 relative error = 6.321971039046922 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.040000000000406 x1[1] (closed_form) = 2.000004286806044 x1[1] (numeric) = 1.963173830754017 absolute error = 0.03683045605202717 relative error = 1.841518855484278 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 36.26203286376476 x2[1] (numeric) = 38.55634438523701 absolute error = 2.294311521472252 relative error = 6.327035028874151 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.050000000000409 x1[1] (closed_form) = 2.000004244151611 x1[1] (numeric) = 1.962795648616618 absolute error = 0.03720859553499389 relative error = 1.860425828785055 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 36.97437315813827 x2[1] (numeric) = 39.3155977291709 absolute error = 2.341224571032626 relative error = 6.332019642413624 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.060000000000413 x1[1] (closed_form) = 2.000004201921597 x1[1] (numeric) = 1.962413665685549 absolute error = 0.03759053623604847 relative error = 1.879522862998568 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 37.70110368122754 x2[1] (numeric) = 40.09019476656047 absolute error = 2.389091085332929 relative error = 6.336926116363341 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.070000000000416 x1[1] (closed_form) = 2.000004160111779 x1[1] (numeric) = 1.962027843762199 absolute error = 0.03797631634958032 relative error = 1.898811867844207 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 38.44251513493378 x2[1] (numeric) = 40.88044551844825 absolute error = 2.43793038351447 relative error = 6.341755670661244 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.080000000000419 x1[1] (closed_form) = 2.000004118717975 x1[1] (numeric) = 1.961638144264054 absolute error = 0.03836597445392087 relative error = 1.918294772238464 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 39.19890409372618 x2[1] (numeric) = 41.68666626929893 absolute error = 2.487762175572755 relative error = 6.346509508593439 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.090000000000423 x1[1] (closed_form) = 2.000004077736047 x1[1] (numeric) = 1.96124452822084 absolute error = 0.03875954951520622 relative error = 1.937973524488062 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 39.97057312327563 x2[1] (numeric) = 42.50917969353468 absolute error = 2.538606570259056 relative error = 6.351188816906848 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.100000000000426 x1[1] (closed_form) = 2.000004037161895 x1[1] (numeric) = 1.960846956270625 absolute error = 0.03915708089126957 relative error = 1.957850092484584 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 40.7578309014851 x2[1] (numeric) = 43.34831498462678 absolute error = 2.590484083141675 relative error = 6.355794765926282 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.110000000000429 x1[1] (closed_form) = 2.000003996991463 x1[1] (numeric) = 1.960445388655883 absolute error = 0.03955860833558056 relative error = 1.977926463901432 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 41.56099234196477 x2[1] (numeric) = 44.2044079867951 absolute error = 2.643415644830334 relative error = 6.360328509676215 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.120000000000433 x1[1] (closed_form) = 2.000003957220733 x1[1] (numeric) = 1.960039785219516 absolute error = 0.0399641720012176 relative error = 1.998204646392452 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 42.38037872000184 x2[1] (numeric) = 45.07780132936821 absolute error = 2.697422609366377 relative error = 6.364791186005383 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.130000000000436 x1[1] (closed_form) = 2.000003917845729 x1[1] (numeric) = 1.959630105400844 absolute error = 0.04037381244488536 relative error = 2.018686667792798 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 43.21631780107477 x2[1] (numeric) = 45.96884456385769 absolute error = 2.752526762782921 relative error = 6.369183916715983 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.140000000000439 x1[1] (closed_form) = 2.000003878862513 x1[1] (numeric) = 1.959216308231543 absolute error = 0.04078757063097016 relative error = 2.039374576321711 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 44.069143971964 x2[1] (numeric) = 46.87789430380167 absolute error = 2.808750331837672 relative error = 6.373507807695445 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.150000000000443 x1[1] (closed_form) = 2.000003840267186 x1[1] (numeric) = 1.958798352331552 absolute error = 0.04120548793563428 relative error = 2.06027044078723 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 44.93919837451098 x2[1] (numeric) = 47.80531436743344 absolute error = 2.86611599292246 relative error = 6.377763949051857 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.160000000000446 x1[1] (closed_form) = 2.000003802055889 x1[1] (numeric) = 1.958376195904932 absolute error = 0.04162760615095706 relative error = 2.081376350793247 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 45.82682904207955 x2[1] (numeric) = 48.75147592323221 absolute error = 2.924646881152661 relative error = 6.381953415251934 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.170000000000449 x1[1] (closed_form) = 2.000003764224801 x1[1] (numeric) = 1.95794979673569 absolute error = 0.04205396748911072 relative error = 2.1026944169483 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 46.73239103877387 x2[1] (numeric) = 49.71675763841425 absolute error = 2.984366599640381 relative error = 6.386077265261801 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.180000000000453 x1[1] (closed_form) = 2.000003726770138 x1[1] (numeric) = 1.957519112183553 absolute error = 0.04248461458658515 relative error = 2.124226771076809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 47.65624660146884 x2[1] (numeric) = 50.70154583042385 absolute error = 3.045299228955017 relative error = 6.3901365426902 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.190000000000456 x1[1] (closed_form) = 2.000003689688156 x1[1] (numeric) = 1.957084099179706 absolute error = 0.0429195905084494 relative error = 2.145975566432155 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 48.59876528470964 x2[1] (numeric) = 51.70623462148464 absolute error = 3.107469336774997 relative error = 6.394132275933938 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.200000000000459 x1[1] (closed_form) = 2.000003652975145 x1[1] (numeric) = 1.956644714222487 absolute error = 0.04335893875265806 relative error = 2.167942977911995 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 49.56032410853852 x2[1] (numeric) = 52.73122609627306 absolute error = 3.170901987734545 relative error = 6.398065478325323 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.210000000000463 x1[1] (closed_form) = 2.000003616627435 x1[1] (numeric) = 1.956200913373034 absolute error = 0.04380270325440128 relative error = 2.190131202275767 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 50.54130770930778 x2[1] (numeric) = 53.77693046277725 absolute error = 3.235622753469471 relative error = 6.401937148281569 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.220000000000466 x1[1] (closed_form) = 2.000003580641391 x1[1] (numeric) = 1.955752652250892 absolute error = 0.04425092839049904 relative error = 2.212542458364399 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 51.54210849353952 x2[1] (numeric) = 54.84376621640541 absolute error = 3.30165772286589 relative error = 6.405748269455705 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.230000000000469 x1[1] (closed_form) = 2.000003545013414 x1[1] (numeric) = 1.955299886029575 absolute error = 0.04470365898383899 relative error = 2.235178987322203 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 52.56312679489342 x2[1] (numeric) = 55.93216030740957 absolute error = 3.369033512516154 relative error = 6.409499810889218 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.240000000000473 x1[1] (closed_form) = 2.000003509739941 x1[1] (numeric) = 1.954842569432084 absolute error = 0.045160940307857 relative error = 2.258043052820905 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 53.60477103430556 x2[1] (numeric) = 57.04254831169157 absolute error = 3.437777277386004 relative error = 6.413192727165876 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.250000000000476 x1[1] (closed_form) = 2.000003474817445 x1[1] (numeric) = 1.954380656726377 absolute error = 0.04562281809106805 relative error = 2.281136941286183 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 54.66745788336223 x2[1] (numeric) = 58.17537460505949 absolute error = 3.507916721697256 relative error = 6.416827958566688 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.260000000000479 x1[1] (closed_form) = 2.000003440242434 x1[1] (numeric) = 1.953914101720801 absolute error = 0.04608933852163277 relative error = 2.304462962126004 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 55.75161243097417 x2[1] (numeric) = 59.33109254100463 absolute error = 3.57948011003046 relative error = 6.420406431226 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.270000000000483 x1[1] (closed_form) = 2.00000340601145 x1[1] (numeric) = 1.953442857759466 absolute error = 0.04656054825198419 relative error = 2.32802344796195 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 56.85766835341771 x2[1] (numeric) = 60.51016463206963 absolute error = 3.652496278651917 relative error = 6.423929057288479 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.280000000000486 x1[1] (closed_form) = 2.000003372121069 x1[1] (numeric) = 1.952966877717581 absolute error = 0.04703649440348801 relative error = 2.351820754862241 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 57.98606808781118 x2[1] (numeric) = 61.71306273488072 absolute error = 3.726994647069532 relative error = 6.427396735066703 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.290000000000489 x1[1] (closed_form) = 2.000003338567904 x1[1] (numeric) = 1.952486113996748 absolute error = 0.04751722457115659 relative error = 2.375857262577429 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 59.13726300909556 x2[1] (numeric) = 62.9402682389178 absolute error = 3.803005229822247 relative error = 6.430810349199504 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.300000000000493 x1[1] (closed_form) = 2.000003305348599 x1[1] (numeric) = 1.952000518520191 absolute error = 0.04800278682840808 relative error = 2.400135374778355 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 60.31171361059047 x2[1] (numeric) = 64.19227225909817 absolute error = 3.880558648507701 relative error = 6.43417077081075 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.310000000000496 x1[1] (closed_form) = 2.000003272459831 x1[1] (numeric) = 1.951510042727959 absolute error = 0.0484932297318712 relative error = 2.424657519296392 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 61.50988968819777 x2[1] (numeric) = 65.46957583225058 absolute error = 3.95968614405281 relative error = 6.437478857668275 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.320000000000499 x1[1] (closed_form) = 2.000003239898311 x1[1] (numeric) = 1.951014637572066 absolute error = 0.04898860232624536 relative error = 2.449426148366447 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 62.73227052832602 x2[1] (numeric) = 66.77269011755851 absolute error = 4.040419589232492 relative error = 6.440735454343373 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.330000000000503 x1[1] (closed_form) = 2.000003207660785 x1[1] (numeric) = 1.950514253511581 absolute error = 0.04948895414920318 relative error = 2.474443738872087 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 63.97934509961153 x2[1] (numeric) = 68.10213660105279 absolute error = 4.122791501441263 relative error = 6.443941392370233 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.340000000000506 x1[1] (closed_form) = 2.000003175744026 x1[1] (numeric) = 1.950008840507683 absolute error = 0.04999433523634345 relative error = 2.499712792593188 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 65.25161224851232 x2[1] (numeric) = 69.45844730423521 absolute error = 4.206835055722891 relative error = 6.447097490405386 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.350000000000509 x1[1] (closed_form) = 2.000003144144845 x1[1] (numeric) = 1.949498348018649 absolute error = 0.05050479612619618 relative error = 2.52523583645619 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 66.54958089885331 x2[1] (numeric) = 70.84216499691675 absolute error = 4.292584098063443 relative error = 6.45020455438722 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.360000000000513 x1[1] (closed_form) = 2.000003112860081 x1[1] (numeric) = 1.948982724994806 absolute error = 0.05102038786527574 relative error = 2.551015422786749 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 67.87377025540269 x2[1] (numeric) = 72.25384341435552 absolute error = 4.380073158952825 relative error = 6.45326337769512 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.370000000000516 x1[1] (closed_form) = 2.000003081886606 x1[1] (numeric) = 1.94846191987342 absolute error = 0.05154116201318559 relative error = 2.577054129564977 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 69.22471001156079 x2[1] (numeric) = 73.69404747878113 absolute error = 4.469337467220342 relative error = 6.456274741308336 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.380000000000519 x1[1] (closed_form) = 2.000003051221322 x1[1] (numeric) = 1.947935880573548 absolute error = 0.05206717064777422 relative error = 2.603354560683239 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 70.60294056124435 x2[1] (numeric) = 75.1633535253944 absolute error = 4.560412964150046 relative error = 6.459239413964815 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.390000000000523 x1[1] (closed_form) = 2.000003020861163 x1[1] (numeric) = 1.947404554490819 absolute error = 0.05259846637034404 relative error = 2.629919346206596 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 72.00901321505144 x2[1] (numeric) = 76.66234953293252 absolute error = 4.653336317881084 relative error = 6.462158152319239 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.400000000000526 x1[1] (closed_form) = 2.000002990803092 x1[1] (numeric) = 1.946867888492182 absolute error = 0.05313510231091034 relative error = 2.656751142635751 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 73.44349042079301 x2[1] (numeric) = 78.1916353588921 absolute error = 4.748144938099088 relative error = 6.465031701100651 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.410000000000529 x1[1] (closed_form) = 2.000002961044104 x1[1] (numeric) = 1.94632582891059 absolute error = 0.0536771321335141 relative error = 2.683852633172698 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 74.90694598847942 x2[1] (numeric) = 79.75182297950406 absolute error = 4.844876991024634 relative error = 6.467860793269784 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.420000000000533 x1[1] (closed_form) = 2.000002931581223 x1[1] (numeric) = 1.945778321539633 absolute error = 0.05422461004158974 relative error = 2.711226527989097 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 76.39996531985229 x2[1] (numeric) = 81.34353673455632 absolute error = 4.943571414704039 relative error = 6.470646150174976 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.430000000000536 x1[1] (closed_form) = 2.000002902411502 x1[1] (numeric) = 1.945225311628118 absolute error = 0.05477759078338429 relative error = 2.738875564497244 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 77.9231456425528 x2[1] (numeric) = 82.9674135771627 absolute error = 5.044267934609906 relative error = 6.473388481708441 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.44000000000054 x1[1] (closed_form) = 2.000002873532025 x1[1] (numeric) = 1.944666743874594 absolute error = 0.05533612965743084 relative error = 2.766802507623736 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 79.47709624902085 x2[1] (numeric) = 84.62410332857706 absolute error = 5.147007079556218 relative error = 6.476088486460813 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.450000000000543 x1[1] (closed_form) = 2.000002844939904 x1[1] (numeric) = 1.94410256242182 absolute error = 0.05590028251808321 relative error = 2.795010150086207 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 81.06243874022006 x2[1] (numeric) = 86.31426893815535 absolute error = 5.251830197935291 relative error = 6.478746851875227 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.460000000000546 x1[1] (closed_form) = 2.000002816632279 x1[1] (numeric) = 1.94353271085118 absolute error = 0.05647010578109857 relative error = 2.823501312672461 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 82.67980727428657 x2[1] (numeric) = 88.0385867485695 absolute error = 5.358779474282926 relative error = 6.481364254400611 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.47000000000055 x1[1] (closed_form) = 2.000002788606319 x1[1] (numeric) = 1.942957132177041 absolute error = 0.05704565642927828 relative error = 2.852278844522509 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 84.3298488202006 x2[1] (numeric) = 89.79774676637878 absolute error = 5.467897946178184 relative error = 6.483941359643929 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.480000000000553 x1[1] (closed_form) = 2.000002760859223 x1[1] (numeric) = 1.942375768841057 absolute error = 0.05762699201816535 relative error = 2.881345623413448 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 86.01322341658273 x2[1] (numeric) = 91.5924529380673 absolute error = 5.579229521484564 relative error = 6.486478822521292 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.490000000000556 x1[1] (closed_form) = 2.000002733388214 x1[1] (numeric) = 1.94178856270641 absolute error = 0.05821417068180423 relative error = 2.910704556047447 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 87.73060443571825 x2[1] (numeric) = 93.42342343165787 absolute error = 5.692818995939618 relative error = 6.48897728740812 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.50000000000056 x1[1] (closed_form) = 2.000002706190547 x1[1] (numeric) = 1.941195455051997 absolute error = 0.05880725113855023 relative error = 2.940358578342217 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 89.48267885291487 x2[1] (numeric) = 95.29139092401496 absolute error = 5.808712071100089 relative error = 6.491437388288329 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.510000000000563 x1[1] (closed_form) = 2.000002679263502 x1[1] (numeric) = 1.940596386566559 absolute error = 0.0594062926969432 relative error = 2.970310655724695 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 91.27014752130218 x2[1] (numeric) = 97.19710289395165 absolute error = 5.926955372649473 relative error = 6.49385974890217 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.520000000000566 x1[1] (closed_form) = 2.000002652604384 x1[1] (numeric) = 1.939991297342746 absolute error = 0.06001135526163792 relative error = 3.000563783427573 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 93.09372545218204 x2[1] (numeric) = 99.14132192125777 absolute error = 6.047596469075728 relative error = 6.496244982893181 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.53000000000057 x1[1] (closed_form) = 2.000002626210529 x1[1] (numeric) = 1.939380126871133 absolute error = 0.06062249933939601 relative error = 3.031120986788875 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 94.95414210104289 x2[1] (numeric) = 101.124825991769 absolute error = 6.170683890726153 relative error = 6.498593693953641 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.540000000000573 x1[1] (closed_form) = 2.000002600079298 x1[1] (numeric) = 1.938762814034164 absolute error = 0.06123978604513414 relative error = 3.061985321554384 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 96.85214165935146 x2[1] (numeric) = 103.1484088085989 absolute error = 6.296267149247427 relative error = 6.500906475968978 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.550000000000576 x1[1] (closed_form) = 2.000002574208077 x1[1] (numeric) = 1.93813929710004 absolute error = 0.06186327710803741 relative error = 3.093159874183305 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 98.7884833522394 x2[1] (numeric) = 105.2128801096579 absolute error = 6.424396757418492 relative error = 6.503183913160926 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.56000000000058 x1[1] (closed_form) = 2.000002548594279 x1[1] (numeric) = 1.937509513716548 absolute error = 0.06249303487773061 relative error = 3.124647762156826 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 100.7639417422034 x2[1] (numeric) = 107.3190659915874 absolute error = 6.55512424938405 relative error = 6.505426580229286 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.570000000000583 x1[1] (closed_form) = 2.000002523235342 x1[1] (numeric) = 1.936873400904827 absolute error = 0.06312912233051549 relative error = 3.156452134289984 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 102.7793070389404 x2[1] (numeric) = 109.4678092402374 absolute error = 6.688502201296998 relative error = 6.507635042492453 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.580000000000586 x1[1] (closed_form) = 2.000002498128731 x1[1] (numeric) = 1.936230895053064 absolute error = 0.06377160307566698 relative error = 3.188576171046478 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 104.8353854154424 x2[1] (numeric) = 111.6599696678203 absolute error = 6.824584252377875 relative error = 6.509809856026532 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.59000000000059 x1[1] (closed_form) = 2.000002473271934 x1[1] (numeric) = 1.935581931910139 absolute error = 0.06442054136179554 relative error = 3.221023084856779 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 106.932999330476 x2[1] (numeric) = 113.896424456876 absolute error = 6.963425126399997 relative error = 6.511951567803274 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.600000000000593 x1[1] (closed_form) = 2.000002448662467 x1[1] (numeric) = 1.934926446579196 absolute error = 0.06507600208327191 relative error = 3.253796120439377 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 109.072987857577 x2[1] (numeric) = 116.1780685111856 absolute error = 7.10508065360861 relative error = 6.514060715826482 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.610000000000596 x1[1] (closed_form) = 2.000002424297869 x1[1] (numeric) = 1.934264373511155 absolute error = 0.06573805078671446 relative error = 3.286898555125142 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 111.2562070206909 x2[1] (numeric) = 118.5058148137737 absolute error = 7.24960779308276 relative error = 6.51613782926692 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.6200000000006 x1[1] (closed_form) = 2.000002400175702 x1[1] (numeric) = 1.933595646498157 absolute error = 0.06640675367754501 relative error = 3.320333699185116 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 113.4835301365943 x2[1] (numeric) = 120.8805947921437 absolute error = 7.397064655549386 relative error = 6.518183428596131 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.630000000000603 x1[1] (closed_form) = 2.000002376293555 x1[1] (numeric) = 1.932920198666945 absolute error = 0.06708217762660995 relative error = 3.354104896161574 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 115.7558481642328 x2[1] (numeric) = 123.3033586908908 absolute error = 7.547510526658044 relative error = 6.520198025718528 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.640000000000606 x1[1] (closed_form) = 2.000002352649039 x1[1] (numeric) = 1.93223796247217 absolute error = 0.06776439017686831 relative error = 3.388215523202418 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 118.0740700611165 x2[1] (numeric) = 125.7750759518428 absolute error = 7.701005890726236 relative error = 6.522182124102358 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.65000000000061 x1[1] (closed_form) = 2.00000232923979 x1[1] (numeric) = 1.931548869689648 absolute error = 0.06845345955014182 relative error = 3.42266899139869 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 120.4391231469155 x2[1] (numeric) = 128.2967356018796 absolute error = 7.857612454964084 relative error = 6.524136218908797 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.660000000000613 x1[1] (closed_form) = 2.000002306063467 x1[1] (numeric) = 1.930852851409525 absolute error = 0.06914945465394151 relative error = 3.457468746125894 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 122.8519534743997 x2[1] (numeric) = 130.8693466485886 absolute error = 8.017393174188882 relative error = 6.526060797119985 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.670000000000616 x1[1] (closed_form) = 2.000002283117752 x1[1] (numeric) = 1.930149838029394 absolute error = 0.06985244508835775 relative error = 3.492618267388504 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 125.3135262078728 x2[1] (numeric) = 133.4939384839116 absolute error = 8.180412276038851 relative error = 6.527956337665422 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.68000000000062 x1[1] (closed_form) = 2.00000226040035 x1[1] (numeric) = 1.92943975924733 absolute error = 0.07056250115302021 relative error = 3.528121070167959 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 127.8248260092507 x2[1] (numeric) = 136.1715612959471 absolute error = 8.346735286696443 relative error = 6.529823311547001 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.690000000000623 x1[1] (closed_form) = 2.000002237908991 x1[1] (numeric) = 1.928722544054865 absolute error = 0.07127969385412669 relative error = 3.563980704774102 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 130.3868574319394 x2[1] (numeric) = 138.9032864890707 absolute error = 8.516429057131234 relative error = 6.531662181962411 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.700000000000626 x1[1] (closed_form) = 2.000002215641425 x1[1] (numeric) = 1.927998120729879 absolute error = 0.07200409491154569 relative error = 3.600200757200317 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 133.0006453226703 x2[1] (numeric) = 141.6902071125433 absolute error = 8.689561789873068 relative error = 6.533473404427093 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.71000000000063 x1[1] (closed_form) = 2.000002193595424 x1[1] (numeric) = 1.927266416829437 absolute error = 0.0727357767659873 relative error = 3.636784849482062 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 135.6672352314515 x2[1] (numeric) = 144.5334382977781 absolute error = 8.866203066326619 relative error = 6.535257426895058 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.720000000000633 x1[1] (closed_form) = 2.000002171768785 x1[1] (numeric) = 1.926527359182542 absolute error = 0.07347481258624367 relative error = 3.673736640058903 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 138.3876938298027 x2[1] (numeric) = 147.4341177044397 absolute error = 9.046423874636986 relative error = 6.537014689877562 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.730000000000636 x1[1] (closed_form) = 2.000002150159325 x1[1] (numeric) = 1.925780873882811 absolute error = 0.07422127627651376 relative error = 3.711059824140745 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 141.1631093374376 x2[1] (numeric) = 150.3934059755568 absolute error = 9.230296638119199 relative error = 6.538745626560983 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.74000000000064 x1[1] (closed_form) = 2.000002128764882 x1[1] (numeric) = 1.92502688628109 absolute error = 0.0749752424837915 relative error = 3.748758134077242 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 143.9945919575664 x2[1] (numeric) = 153.412487201828 absolute error = 9.417895244261643 relative error = 6.540450662922809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.750000000000643 x1[1] (closed_form) = 2.000002107583317 x1[1] (numeric) = 1.924265320977991 absolute error = 0.07573678660532601 relative error = 3.786835339730807 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 146.8832743209918 x2[1] (numeric) = 156.4925693953073 absolute error = 9.609295074315554 relative error = 6.542130217846216 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.760000000000646 x1[1] (closed_form) = 2.000002086612513 x1[1] (numeric) = 1.92349610181635 absolute error = 0.07650598479616333 relative error = 3.8252952488537 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 149.8303119391765 x2[1] (numeric) = 159.6348849726592 absolute error = 9.804573033482683 relative error = 6.543784703233377 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.77000000000065 x1[1] (closed_form) = 2.000002065850372 x1[1] (numeric) = 1.922719151873609 absolute error = 0.07728291397676257 relative error = 3.864141707468837 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 152.8368836664632 x2[1] (numeric) = 162.8406912481755 absolute error = 10.00380758171235 relative error = 6.545414524116913 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.780000000000653 x1[1] (closed_form) = 2.000002045294817 x1[1] (numeric) = 1.921934393454127 absolute error = 0.07806765184068998 relative error = 3.903378600254489 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 155.904192171632 x2[1] (numeric) = 166.1112709367534 absolute error = 10.20707876512142 relative error = 6.547020078770327 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.790000000000656 x1[1] (closed_form) = 2.000002024943794 x1[1] (numeric) = 1.921141748081407 absolute error = 0.0788602768623865 relative error = 3.943009850932663 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 159.033464418984 x2[1] (numeric) = 169.4479326670325 absolute error = 10.41446824804851 relative error = 6.548601758816568 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.80000000000066 x1[1] (closed_form) = 2.000002004795266 x1[1] (numeric) = 1.920341136490255 absolute error = 0.07966086830501173 relative error = 3.983039422661297 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 162.2259521591433 x2[1] (numeric) = 172.8520115048996 absolute error = 10.62605934575626 relative error = 6.55015994933543 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.810000000000663 x1[1] (closed_form) = 2.00000198484722 x1[1] (numeric) = 1.919532478618843 absolute error = 0.08046950622837645 relative error = 4.023471318430892 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 165.4829324297741 x2[1] (numeric) = 176.3248694875684 absolute error = 10.8419370577943 relative error = 6.551695028969397 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.820000000000666 x1[1] (closed_form) = 2.00000196509766 x1[1] (numeric) = 1.918715693600712 absolute error = 0.08128627149694823 relative error = 4.064309581464786 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 168.8057080664127 x2[1] (numeric) = 179.8678961684487 absolute error = 11.06218810203598 relative error = 6.553207370027923 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.83000000000067 x1[1] (closed_form) = 2.000001945544612 x1[1] (numeric) = 1.917890699756677 absolute error = 0.08211124578793449 relative error = 4.105558295623315 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 172.1956082236188 x2[1] (numeric) = 183.4825091730221 absolute error = 11.28690094940328 relative error = 6.554697338590504 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.840000000000673 x1[1] (closed_form) = 2.000001926186119 x1[1] (numeric) = 1.917057414586665 absolute error = 0.08294451159945426 relative error = 4.147221585812386 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 175.6539889066558 x2[1] (numeric) = 187.1701547659489 absolute error = 11.51616585929312 relative error = 6.556165294608212 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.850000000000676 x1[1] (closed_form) = 2.000001907020247 x1[1] (numeric) = 1.916215754761466 absolute error = 0.08378615225878061 relative error = 4.18930361839562 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 179.18223351391 x2[1] (numeric) = 190.9323084296293 absolute error = 11.75007491571935 relative error = 6.557611592003729 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.86000000000068 x1[1] (closed_form) = 2.000001888045079 x1[1] (numeric) = 1.915365636114398 absolute error = 0.08463625193068092 relative error = 4.231808601611343 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 182.7817533902692 x2[1] (numeric) = 194.7704754544544 absolute error = 11.98872206418517 relative error = 6.559036578770129 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.870000000000683 x1[1] (closed_form) = 2.000001869258716 x1[1] (numeric) = 1.914506973632885 absolute error = 0.08549489562583168 relative error = 4.274740785993347 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 186.4539883916792 x2[1] (numeric) = 198.6861915409795 absolute error = 12.23220314930026 relative error = 6.560440597068044 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.880000000000686 x1[1] (closed_form) = 2.000001850659281 x1[1] (numeric) = 1.913639681449963 absolute error = 0.08636216920931838 relative error = 4.318104464795867 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 190.2004074611054 x2[1] (numeric) = 202.6810234142638 absolute error = 12.48061595315841 relative error = 6.561823983321698 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.89000000000069 x1[1] (closed_form) = 2.000001832244914 x1[1] (numeric) = 1.912763672835693 absolute error = 0.08723815940922086 relative error = 4.361903974422858 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 194.0225092161292 x2[1] (numeric) = 206.7565694506195 absolute error = 12.7340602344903 relative error = 6.563187068313471 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.900000000000693 x1[1] (closed_form) = 2.000001814013772 x1[1] (numeric) = 1.911878860188481 absolute error = 0.08812295382529101 relative error = 4.406143694861878 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 197.9218225484156 x2[1] (numeric) = 210.9144603170226 absolute error = 12.99263776860704 relative error = 6.56453017727683 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.910000000000696 x1[1] (closed_form) = 2.000001795964033 x1[1] (numeric) = 1.910985155026328 absolute error = 0.08901664093770556 relative error = 4.450828050121729 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 201.8999072352901 x2[1] (numeric) = 215.1563596234415 absolute error = 13.25645238815139 relative error = 6.565853629988341 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.9200000000007 x1[1] (closed_form) = 2.000001778093893 x1[1] (numeric) = 1.910082467977972 absolute error = 0.08991931011592103 relative error = 4.4959615086752 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 205.9583545636701 x2[1] (numeric) = 219.483964588342 absolute error = 13.52561002467195 relative error = 6.567157740858059 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.930000000000703 x1[1] (closed_form) = 2.000001760401563 x1[1] (numeric) = 1.909170708773958 absolute error = 0.09083105162760519 relative error = 4.541548583905645 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 210.0987879666012 x2[1] (numeric) = 223.8990067176385 absolute error = 13.80021875103733 relative error = 6.568442819018601 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.940000000000706 x1[1] (closed_form) = 2.000001742885275 x1[1] (numeric) = 1.908249786237605 absolute error = 0.09175195664766966 relative error = 4.587593834558613 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 214.322863672652 x2[1] (numeric) = 228.4032524973595 absolute error = 14.08038882470751 relative error = 6.569709168413 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.95000000000071 x1[1] (closed_form) = 2.000001725543277 x1[1] (numeric) = 1.907319608275888 absolute error = 0.09268211726738862 relative error = 4.634101865197772 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 218.6322713684276 x2[1] (numeric) = 232.9985041003065 absolute error = 14.36623273187894 relative error = 6.570957087881012 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.960000000000713 x1[1] (closed_form) = 2.000001708373834 x1[1] (numeric) = 1.906380081870237 absolute error = 0.09362162650359718 relative error = 4.681077326664849 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 223.0287348744666 x2[1] (numeric) = 237.6866001069892 absolute error = 14.65786523252262 relative error = 6.572186871244603 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.970000000000717 x1[1] (closed_form) = 2.000001691375231 x1[1] (numeric) = 1.905431113067228 absolute error = 0.09457057830800286 relative error = 4.728524916545183 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 227.5140128347925 x2[1] (numeric) = 242.4694162411235 absolute error = 14.95540340633093 relative error = 6.573398807391558 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.98000000000072 x1[1] (closed_form) = 2.000001674545766 x1[1] (numeric) = 1.904472606969189 absolute error = 0.09552906757657675 relative error = 4.776449379637296 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 232.0898994203951 x2[1] (numeric) = 247.3488661199885 absolute error = 15.25896669959343 relative error = 6.57459318035817 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 6.990000000000723 x1[1] (closed_form) = 2.000001657883757 x1[1] (numeric) = 1.903504467724712 absolute error = 0.09649719015904457 relative error = 4.824855508427439 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 236.7582250469218 x2[1] (numeric) = 252.3269020199418 absolute error = 15.56867697301996 relative error = 6.575770269410699 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.000000000000727 x1[1] (closed_form) = 2.000001641387538 x1[1] (numeric) = 1.902526598519068 absolute error = 0.09747504286847031 relative error = 4.873748143568783 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 241.5208571068694 x2[1] (numeric) = 257.4055156573988 absolute error = 15.88465855052934 relative error = 6.576930349125338 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.01000000000073 x1[1] (closed_form) = 2.000001625055459 x1[1] (numeric) = 1.901538901564522 absolute error = 0.09846272349093699 relative error = 4.923132174365442 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 246.3797007165653 x2[1] (numeric) = 262.5867389855898 absolute error = 16.20703826902442 relative error = 6.578073689467204 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.020000000000733 x1[1] (closed_form) = 2.000001608885887 x1[1] (numeric) = 1.900541278090556 absolute error = 0.09946033079533101 relative error = 4.973012539261705 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 251.3366994782396 x2[1] (numeric) = 267.8726450074119 absolute error = 16.53594552917232 relative error = 6.579200555867881 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.030000000000737 x1[1] (closed_form) = 2.000001592877205 x1[1] (numeric) = 1.899533628333989 absolute error = 0.1004679645432158 relative error = 5.023394226335713 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 256.393836257492 x2[1] (numeric) = 273.2653486047029 absolute error = 16.87151234721097 relative error = 6.580311209301925 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.04000000000074 x1[1] (closed_form) = 2.000001577027812 x1[1] (numeric) = 1.898515851529004 absolute error = 0.101485725498808 relative error = 5.074282273798262 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 261.5531339764643 x2[1] (numeric) = 278.7670073842668 absolute error = 17.21387340780251 relative error = 6.58140590636222 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.050000000000743 x1[1] (closed_form) = 2.000001561336123 x1[1] (numeric) = 1.897487845897076 absolute error = 0.1025137154390472 relative error = 5.125681770496308 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 266.8166564230365 x2[1] (numeric) = 284.3798225409904 absolute error = 17.56316611795387 relative error = 6.582484899333854 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.060000000000747 x1[1] (closed_form) = 2.000001545800569 x1[1] (numeric) = 1.896449508636784 absolute error = 0.1035520371637852 relative error = 5.177597856422405 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 272.1865090763692 x2[1] (numeric) = 290.1060397383968 absolute error = 17.91953066202751 relative error = 6.583548436267172 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.07000000000075 x1[1] (closed_form) = 2.000001530419596 x1[1] (numeric) = 1.895400735913535 absolute error = 0.104600794506061 relative error = 5.230035723228468 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 277.6648399491237 x2[1] (numeric) = 295.9479500069866 absolute error = 18.28311005786287 relative error = 6.584596761049353 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.080000000000753 x1[1] (closed_form) = 2.000001515191667 x1[1] (numeric) = 1.894341422849187 absolute error = 0.1056600923424802 relative error = 5.283000614744755 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 283.2538404466951 x2[1] (numeric) = 301.907890660728 absolute error = 18.65405021403291 relative error = 6.585630113475326 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.090000000000757 x1[1] (closed_form) = 2.000001500115258 x1[1] (numeric) = 1.893271463511543 absolute error = 0.1067300366037152 relative error = 5.33649782750485 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 288.9557462438041 x2[1] (numeric) = 307.98824623206 absolute error = 19.03249998825584 relative error = 6.58664872931695 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.10000000000076 x1[1] (closed_form) = 2.000001485188862 x1[1] (numeric) = 1.892190750903777 absolute error = 0.1078107342850849 relative error = 5.390532711274675 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 294.772838178797 x2[1] (numeric) = 314.1914494257854 absolute error = 19.41861124698846 relative error = 6.587652840391603 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.110000000000763 x1[1] (closed_form) = 2.000001470410986 x1[1] (numeric) = 1.891099176953727 absolute error = 0.108902293457259 relative error = 5.445110669587676 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 300.7074431660105 x2[1] (numeric) = 320.5199820922333 absolute error = 19.81253892622277 relative error = 6.588642674629417 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.120000000000767 x1[1] (closed_form) = 2.000001455780152 x1[1] (numeric) = 1.889996632503092 absolute error = 0.1100048232770598 relative error = 5.500237160284948 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 306.7619351265696 x2[1] (numeric) = 326.9763762200805 absolute error = 20.21444109351086 relative error = 6.589618456139418 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.13000000000077 x1[1] (closed_form) = 2.000001441294898 x1[1] (numeric) = 1.888883007296511 absolute error = 0.1111184339983862 relative error = 5.555917696061394 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 312.9387359379866 x2[1] (numeric) = 333.5632149492301 absolute error = 20.62447901124347 relative error = 6.590580405274759 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.140000000000773 x1[1] (closed_form) = 2.000001426953774 x1[1] (numeric) = 1.887758189970536 absolute error = 0.1122432369832376 relative error = 5.612157845016971 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 319.2403164029456 x2[1] (numeric) = 340.2831336041519 absolute error = 21.04281720120628 relative error = 6.59152873869665 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.150000000000777 x1[1] (closed_form) = 2.000001412755346 x1[1] (numeric) = 1.886622068042499 absolute error = 0.1133793447128473 relative error = 5.668963231213307 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 325.6691972376552 x2[1] (numeric) = 347.1388207480967 absolute error = 21.46962351044147 relative error = 6.592463669437589 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.16000000000078 x1[1] (closed_form) = 2.000001398698196 x1[1] (numeric) = 1.885474527899257 absolute error = 0.1145268707989389 relative error = 5.726339535236555 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 332.2279500801696 x2[1] (numeric) = 354.1330192586086 absolute error = 21.90506917843891 relative error = 6.593385406963205 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.170000000000783 x1[1] (closed_form) = 2.000001384780916 x1[1] (numeric) = 1.884315454785838 absolute error = 0.1156859299950779 relative error = 5.784292494764964 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 338.919198519078 x2[1] (numeric) = 361.2685274247635 absolute error = 22.34932890568552 relative error = 6.59429415723331 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.180000000000787 x1[1] (closed_form) = 2.000001371002116 x1[1] (numeric) = 1.883144732793964 absolute error = 0.1168566382081522 relative error = 5.842827905142899 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 345.7456191429741 x2[1] (numeric) = 368.5482000665742 absolute error = 22.80258092360015 relative error = 6.595190122762114 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.19000000000079 x1[1] (closed_form) = 2.000001357360417 x1[1] (numeric) = 1.881962244850462 absolute error = 0.1180391125099547 relative error = 5.901951619959979 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 352.7099426111284 x2[1] (numeric) = 375.9749496770077 absolute error = 23.26500706587927 relative error = 6.596073502676823 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.200000000000793 x1[1] (closed_form) = 2.000001343854455 x1[1] (numeric) = 1.880767872705554 absolute error = 0.1192334711489011 relative error = 5.961669551636963 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 359.814954745788 x2[1] (numeric) = 383.5517475870745 absolute error = 23.73679284128656 relative error = 6.596944492775957 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.210000000000797 x1[1] (closed_form) = 2.00000133048288 x1[1] (numeric) = 1.879561496921029 absolute error = 0.1204398335618508 relative error = 6.021987672016792 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 367.0634976465419 x2[1] (numeric) = 391.2816251544539 absolute error = 24.21812750791207 relative error = 6.597803285586448 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.2200000000008 x1[1] (closed_form) = 2.000001317244354 x1[1] (numeric) = 1.878342996858301 absolute error = 0.1216583203860526 relative error = 6.082912012961879 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 374.4584708271996 x2[1] (numeric) = 399.167674976131 absolute error = 24.70920414893135 relative error = 6.598650070419649 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.230000000000803 x1[1] (closed_form) = 2.000001304137554 x1[1] (numeric) = 1.877112250666354 absolute error = 0.1228890534711999 relative error = 6.144448666956871 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 382.0028323756353 x2[1] (numeric) = 407.213052125531 absolute error = 25.21021974989577 relative error = 6.599485033426604 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.240000000000807 x1[1] (closed_form) = 2.000001291161168 x1[1] (numeric) = 1.87586913526954 absolute error = 0.1241321558916277 relative error = 6.206603787718489 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 389.6996001370615 x2[1] (numeric) = 415.4209754146457 absolute error = 25.72137527758423 relative error = 6.600308357652342 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.25000000000081 x1[1] (closed_form) = 2.0000012783139 x1[1] (numeric) = 1.874613526355284 absolute error = 0.1253877519586164 relative error = 6.269383590810725 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 397.5518529212085 x2[1] (numeric) = 423.7947286816565 absolute error = 26.24287576044793 relative error = 6.601120223089251 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.260000000000813 x1[1] (closed_form) = 2.000001265594464 x1[1] (numeric) = 1.87334529836165 absolute error = 0.126655967232814 relative error = 6.332794354265964 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 405.5627317338888 x2[1] (numeric) = 432.337662104569 absolute error = 26.77493037068024 relative error = 6.601920806729523 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.270000000000817 x1[1] (closed_form) = 2.000001253001589 x1[1] (numeric) = 1.872064324464779 absolute error = 0.1279369285368097 relative error = 6.396842419213629 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 413.7354410334411 x2[1] (numeric) = 441.0531935413863 absolute error = 27.31775250794527 relative error = 6.60271028261687 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.28000000000082 x1[1] (closed_form) = 2.000001240534015 x1[1] (numeric) = 1.870770476566211 absolute error = 0.1292307639678032 relative error = 6.461534190513685 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 422.0732500125567 x2[1] (numeric) = 449.944809897354 absolute error = 27.87155988479725 relative error = 6.603488821897163 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.290000000000823 x1[1] (closed_form) = 2.000001228190495 x1[1] (numeric) = 1.869463625280083 absolute error = 0.1305376029104122 relative error = 6.526876137396991 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 430.5794939060006 x2[1] (numeric) = 459.0160685198267 absolute error = 28.43657461382617 relative error = 6.604256592868339 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.300000000000827 x1[1] (closed_form) = 2.000001215969796 x1[1] (numeric) = 1.868143639920173 absolute error = 0.1318575760496223 relative error = 6.592874794112809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 439.2575753247482 x2[1] (numeric) = 468.2705986213128 absolute error = 29.01302329656454 relative error = 6.605013761029591 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.31000000000083 x1[1] (closed_form) = 2.000001203870694 x1[1] (numeric) = 1.866810388486846 absolute error = 0.1331908153838475 relative error = 6.659536760581803 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 448.1109656170775 x2[1] (numeric) = 477.7121027312663 absolute error = 29.60113711418876 relative error = 6.605760489129316 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.320000000000833 x1[1] (closed_form) = 2.00000119189198 x1[1] (numeric) = 1.865463737653848 absolute error = 0.1345374542381323 relative error = 6.726868703056188 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 457.1432062571524 x2[1] (numeric) = 487.3443581772079 absolute error = 30.20115192005545 relative error = 6.606496937212863 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.330000000000837 x1[1] (closed_form) = 2.000001180032457 x1[1] (numeric) = 1.864103552754974 absolute error = 0.1358976272774826 relative error = 6.794877354786219 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 466.3579102616613 x2[1] (numeric) = 497.1712185957657 absolute error = 30.81330833410436 relative error = 6.607223262668755 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.34000000000084 x1[1] (closed_form) = 2.000001168290938 x1[1] (numeric) = 1.8627296977706 absolute error = 0.1372714705203377 relative error = 6.863569516693852 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 475.7587636350709 x2[1] (numeric) = 507.1966154742425 absolute error = 31.43785183917157 relative error = 6.607939620274839 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.350000000000843 x1[1] (closed_form) = 2.000001156666249 x1[1] (numeric) = 1.861342035314082 absolute error = 0.1386591213521666 relative error = 6.932952058052507 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 485.3495268440774 x2[1] (numeric) = 517.4245597233238 absolute error = 32.07503287924635 relative error = 6.608646162243137 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.360000000000847 x1[1] (closed_form) = 2.000001145157227 x1[1] (numeric) = 1.859940426618018 absolute error = 0.1400607185392098 relative error = 7.003031917174181 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 495.1340363218437 x2[1] (numeric) = 527.8591432815581 absolute error = 32.72510695971442 relative error = 6.609343038264223 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.37000000000085 x1[1] (closed_form) = 2.000001133762722 x1[1] (numeric) = 1.858524731520377 absolute error = 0.1414764022423451 relative error = 7.073816102102756 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 505.1162060026232 x2[1] (numeric) = 538.5045407522482 absolute error = 33.38833474962496 relative error = 6.610030395550517 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.380000000000853 x1[1] (closed_form) = 2.000001122481595 x1[1] (numeric) = 1.857094808450464 absolute error = 0.1429063140311304 relative error = 7.145311691316089 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 515.3000288873862 x2[1] (numeric) = 549.3650110734123 absolute error = 34.0649821860261 relative error = 6.610708378879339 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.390000000000857 x1[1] (closed_form) = 2.000001111312717 x1[1] (numeric) = 1.855650514414787 absolute error = 0.1443505968979291 relative error = 7.217525834432332 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 525.6895786410735 x2[1] (numeric) = 560.4448992214794 absolute error = 34.75532058040596 relative error = 6.611377130634722 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.40000000000086 x1[1] (closed_form) = 2.00000110025497 x1[1] (numeric) = 1.854191704982733 absolute error = 0.1458093952722372 relative error = 7.290465752926272 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 536.2890112221161 x2[1] (numeric) = 571.7486379494018 absolute error = 35.45962672728569 relative error = 6.612036790848824 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.410000000000863 x1[1] (closed_form) = 2.00000108930725 x1[1] (numeric) = 1.852718234272138 absolute error = 0.1472828550351126 relative error = 7.364138740850771 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 547.1025665448744 x2[1] (numeric) = 583.2807495598805 absolute error = 36.17818301500608 relative error = 6.612687497242563 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.420000000000867 x1[1] (closed_form) = 2.000001078468462 x1[1] (numeric) = 1.851229954934707 absolute error = 0.148771123533755 relative error = 7.438552165565792 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 558.1345701756611 x2[1] (numeric) = 595.0458477144132 absolute error = 36.91127753875207 relative error = 6.613329385265462 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.43000000000087 x1[1] (closed_form) = 2.000001067737522 x1[1] (numeric) = 1.849726718141264 absolute error = 0.1502743495962571 relative error = 7.513713468475956 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 569.3894350630245 x2[1] (numeric) = 607.0486392788849 absolute error = 37.65920421586043 relative error = 6.613962588134782 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.440000000000873 x1[1] (closed_form) = 2.000001057113356 x1[1] (numeric) = 1.848208373566869 absolute error = 0.1517926835464862 relative error = 7.589630165774606 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 580.8716633029865 x2[1] (numeric) = 619.2939262064461 absolute error = 38.42226290345968 relative error = 6.614587236874452 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.450000000000877 x1[1] (closed_form) = 2.000001046594902 x1[1] (numeric) = 1.846674769375807 absolute error = 0.1533262772190944 relative error = 7.666309849194319 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 592.5858479399421 x2[1] (numeric) = 631.7866074584235 absolute error = 39.20075951848139 relative error = 6.615203460352354 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.46000000000088 x1[1] (closed_form) = 2.000001036181108 x1[1] (numeric) = 1.845125752206378 absolute error = 0.1548752839747305 relative error = 7.743760186767518 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 604.5366748039382 x2[1] (numeric) = 644.5316809640402 absolute error = 39.99500616010198 relative error = 6.61581138531803 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.470000000000883 x1[1] (closed_form) = 2.000001025870934 x1[1] (numeric) = 1.843561167155577 absolute error = 0.1564398587153573 relative error = 7.82198892359232 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 616.7289243850672 x2[1] (numeric) = 657.5342456197217 absolute error = 40.80532123465446 relative error = 6.616411136439067 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.480000000000887 x1[1] (closed_form) = 2.000001015663348 x1[1] (numeric) = 1.841980857763595 absolute error = 0.1580201578997527 relative error = 7.901003882607604 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 629.1674737457275 x2[1] (numeric) = 670.7995033287925 absolute error = 41.63202958306499 relative error = 6.617002836337057 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.49000000000089 x1[1] (closed_form) = 2.000001005557329 x1[1] (numeric) = 1.840384665998179 absolute error = 0.1596163395591497 relative error = 7.980812965374999 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 641.8572984715134 x2[1] (numeric) = 684.3327610823778 absolute error = 42.47546261086438 relative error = 6.617586605622979 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.500000000000894 x1[1] (closed_form) = 2.000000995551866 x1[1] (numeric) = 1.838772432238827 absolute error = 0.1612285633130388 relative error = 8.061424152869009 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 654.8034746615158 x2[1] (numeric) = 698.1394330823409 absolute error = 43.33595842082514 relative error = 6.618162562931813 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.510000000000897 x1[1] (closed_form) = 2.00000098564596 x1[1] (numeric) = 1.837143995260818 absolute error = 0.1628569903851411 relative error = 8.14284550627567 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 668.0111809588291 x2[1] (numeric) = 712.2250429071088 absolute error = 44.21386194827971 relative error = 6.618730824956763 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.5200000000009 x1[1] (closed_form) = 2.000000975838618 x1[1] (numeric) = 1.835499192219097 absolute error = 0.1645017836195215 relative error = 8.225085167798202 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 681.4857006220778 x2[1] (numeric) = 726.5952257212491 absolute error = 45.10952509917126 relative error = 6.619291506482691 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.530000000000904 x1[1] (closed_form) = 2.000000966128862 x1[1] (numeric) = 1.833837858631977 absolute error = 0.1661631074968857 relative error = 8.308151361471872 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 695.2324236387904 x2[1] (numeric) = 741.2557305296846 absolute error = 46.02330689089422 relative error = 6.619844720419101 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.540000000000907 x1[1] (closed_form) = 2.000000956515719 x1[1] (numeric) = 1.832159828364714 absolute error = 0.1678411281510053 relative error = 8.392052393985249 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 709.256848881466 x2[1] (numeric) = 756.212422477446 absolute error = 46.95557359598001 relative error = 6.620390577832464 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.55000000000091 x1[1] (closed_form) = 2.000000946998229 x1[1] (numeric) = 1.830464933612885 absolute error = 0.1695360133853436 relative error = 8.476796655511473 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 723.5645863071973 x2[1] (numeric) = 771.4712851958828 absolute error = 47.90669888868558 relative error = 6.620929187978013 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.560000000000914 x1[1] (closed_form) = 2.000000937575439 x1[1] (numeric) = 1.828753004885612 absolute error = 0.1712479326898269 relative error = 8.562392620546833 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 738.161359201727 x2[1] (numeric) = 787.0384231962711 absolute error = 48.87706399454407 relative error = 6.621460658331047 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.570000000000917 x1[1] (closed_form) = 2.000000928246407 x1[1] (numeric) = 1.827023870988604 absolute error = 0.1729770572578033 relative error = 8.64884884875873 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 753.0530064688402 x2[1] (numeric) = 802.9200643117756 absolute error = 49.86705784293542 relative error = 6.621985094617483 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.58000000000092 x1[1] (closed_form) = 2.000000919010201 x1[1] (numeric) = 1.825277359007028 absolute error = 0.1747235600031734 relative error = 8.736173985842161 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 768.2454849660015 x2[1] (numeric) = 819.1225621887431 absolute error = 50.8770772227416 relative error = 6.622502600844203 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.590000000000924 x1[1] (closed_form) = 2.000000909865897 x1[1] (numeric) = 1.823513294288225 absolute error = 0.1764876155776727 relative error = 8.824376764383892 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 783.74487188718 x2[1] (numeric) = 835.6523988283237 absolute error = 51.90752694114371 relative error = 6.623013279328455 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.600000000000927 x1[1] (closed_form) = 2.00000090081258 x1[1] (numeric) = 1.821731500424248 absolute error = 0.1782694003883318 relative error = 8.913466004735437 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 799.5573671938052 x2[1] (numeric) = 852.5161871794362 absolute error = 52.95881998563095 relative error = 6.623517230727265 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.61000000000093 x1[1] (closed_form) = 2.000000891849345 x1[1] (numeric) = 1.819931799234223 absolute error = 0.1800690926151221 relative error = 9.003450615895336 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 815.6892960948369 x2[1] (numeric) = 869.7206737841153 absolute error = 54.03137768927843 relative error = 6.624014554065746 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.620000000000934 x1[1] (closed_form) = 2.000000882975296 x1[1] (numeric) = 1.818114010746536 absolute error = 0.1818868722287597 relative error = 9.094339596399385 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 832.1471115769308 x2[1] (numeric) = 887.2727414762984 absolute error = 55.1256298993676 relative error = 6.624505346765397 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.630000000000937 x1[1] (closed_form) = 2.000000874189545 x1[1] (numeric) = 1.81627795318082 absolute error = 0.1837229210087248 relative error = 9.186142035221575 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 848.9373969857207 x2[1] (numeric) = 905.1794121351318 absolute error = 56.24201514941103 relative error = 6.624989704671596 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.64000000000094 x1[1] (closed_form) = 2.000000865491214 x1[1] (numeric) = 1.814423442929802 absolute error = 0.1855774225614122 relative error = 9.278867112681629 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 866.0668686592445 x2[1] (numeric) = 923.4478494938985 absolute error = 57.380980834654 relative error = 6.625467722080781 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.650000000000944 x1[1] (closed_form) = 2.000000856879432 x1[1] (numeric) = 1.81255029454091 absolute error = 0.1874505623385228 relative error = 9.372524101364572 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 883.5423786145673 x2[1] (numeric) = 942.0853620056884 absolute error = 58.54298339112108 relative error = 6.62593949176711 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.660000000000947 x1[1] (closed_form) = 2.00000084835334 x1[1] (numeric) = 1.81065832069773 absolute error = 0.1893425276556091 relative error = 9.467122367048017 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 901.3709172886819 x2[1] (numeric) = 961.0994057669617 absolute error = 59.72848847827981 relative error = 6.626405105008573 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.67000000000095 x1[1] (closed_form) = 2.000000839912083 x1[1] (numeric) = 1.808747332201316 absolute error = 0.1912535077107669 relative error = 9.562671369636732 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 919.5596163347756 x2[1] (numeric) = 980.4975875001707 absolute error = 60.93797116539508 relative error = 6.626864651612752 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.680000000000954 x1[1] (closed_form) = 2.000000831554818 x1[1] (numeric) = 1.806817137951222 absolute error = 0.1931836936035962 relative error = 9.659180664110702 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 938.1157514749862 x2[1] (numeric) = 1000.287667596635 absolute error = 62.17191612164891 relative error = 6.627318219942142 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.690000000000957 x1[1] (closed_form) = 2.000000823280709 x1[1] (numeric) = 1.804867544926415 absolute error = 0.1951332783542943 relative error = 9.756659901479773 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 957.0467454107888 x2[1] (numeric) = 1020.477563220888 absolute error = 63.43081781009948 relative error = 6.627765896938855 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.70000000000096 x1[1] (closed_form) = 2.000000815088929 x1[1] (numeric) = 1.802898358165969 absolute error = 0.1971024569229602 relative error = 9.855118829748884 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 976.3601707921748 x2[1] (numeric) = 1041.075351477736 absolute error = 64.71518068556088 relative error = 6.628207768149113 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.710000000000964 x1[1] (closed_form) = 2.000000806978659 x1[1] (numeric) = 1.800909380749574 absolute error = 0.1990914262290855 relative error = 9.954567294892589 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 x2[1] (closed_form) = 996.0637532468128 x2[1] (numeric) = 1062.089272643292 absolute error = 66.02551939647913 relative error = 6.628643917747179 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.720000000000967 x1[1] (closed_form) = 2.000000798949087 x1[1] (numeric) = 1.798900413777822 absolute error = 0.2011003851712645 relative error = 10.0550152418406 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1016.165374470403 x2[1] (numeric) = 1083.527733461289 absolute error = 67.36235899088649 relative error = 6.629074428558823 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.73000000000097 x1[1] (closed_form) = 2.000000790999411 x1[1] (numeric) = 1.79687125635234 absolute error = 0.2031295346470705 relative error = 10.15647271547156 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1036.67307537946 x2[1] (numeric) = 1105.399310505979 absolute error = 68.72623512651808 relative error = 6.629499382084535 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.740000000000974 x1[1] (closed_form) = 2.000000783128835 x1[1] (numeric) = 1.794821705555699 absolute error = 0.2051790775731361 relative error = 10.25894986161708 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1057.595059327789 x2[1] (numeric) = 1127.712753612961 absolute error = 70.11769428517164 relative error = 6.629918858522154 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.750000000000977 x1[1] (closed_form) = 2.000000775336573 x1[1] (numeric) = 1.7927515564311 absolute error = 0.2072492189054729 relative error = 10.36245692807772 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1078.939695387932 x2[1] (numeric) = 1150.476989379331 absolute error = 71.53729399139979 relative error = 6.630332936789265 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.76000000000098 x1[1] (closed_form) = 2.000000767621845 x1[1] (numeric) = 1.790660601961906 absolute error = 0.2093401656599396 relative error = 10.46700426564642 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1100.715521698912 x2[1] (numeric) = 1173.701124734531 absolute error = 72.98560303561885 relative error = 6.630741694545054 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.770000000000984 x1[1] (closed_form) = 2.00000075998388 x1[1] (numeric) = 1.788548633050937 absolute error = 0.2114521269329437 relative error = 10.57260232914351 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1122.931248881603 x2[1] (numeric) = 1197.394450583328 absolute error = 74.46320170172544 relative error = 6.631145208211811 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.780000000000987 x1[1] (closed_form) = 2.000000752421914 x1[1] (numeric) = 1.786415438499529 absolute error = 0.2135853139223851 relative error = 10.679261678464 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1145.595763523091 x2[1] (numeric) = 1221.566445522404 absolute error = 75.970681999313 relative error = 6.631543552996186 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.79000000000099 x1[1] (closed_form) = 2.000000744935191 x1[1] (numeric) = 1.784260804986451 absolute error = 0.2157399399487405 relative error = 10.78699297963169 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1168.718131731432 x2[1] (numeric) = 1246.22677963201 absolute error = 77.5086479005779 relative error = 6.631936802909904 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.800000000000994 x1[1] (closed_form) = 2.000000737522962 x1[1] (numeric) = 1.782084517046574 absolute error = 0.2179162204763885 relative error = 10.89580700586549 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1192.307602762211 x2[1] (numeric) = 1271.385318344224 absolute error = 79.07771558201239 relative error = 6.632325030790172 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.810000000000997 x1[1] (closed_form) = 2.000000730184486 x1[1] (numeric) = 1.779886357049276 absolute error = 0.2201143731352107 relative error = 11.00571463865949 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1216.373612718372 x2[1] (numeric) = 1297.052126389352 absolute error = 80.67851367097956 relative error = 6.632708308319668 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.820000000001 x1[1] (closed_form) = 2.000000722919029 x1[1] (numeric) = 1.777666105176712 absolute error = 0.2223346177423173 relative error = 11.11672686886917 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1240.925788324781 x2[1] (numeric) = 1323.237471822054 absolute error = 82.31168349727318 relative error = 6.633086706046451 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.830000000001004 x1[1] (closed_form) = 2.000000715725864 x1[1] (numeric) = 1.775423539401861 absolute error = 0.224577176324003 relative error = 11.22885479780924 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1265.973950779049 x2[1] (numeric) = 1349.951830128802 absolute error = 83.97787934975281 relative error = 6.633460293402948 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.840000000001007 x1[1] (closed_form) = 2.000000708604273 x1[1] (numeric) = 1.773158435466269 absolute error = 0.2268422731380038 relative error = 11.34210963836651 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1291.528119680137 x2[1] (numeric) = 1377.205888418311 absolute error = 85.67776873817343 relative error = 6.633829138725418 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.85000000000101 x1[1] (closed_form) = 2.000000701553543 x1[1] (numeric) = 1.770870566857673 absolute error = 0.2291301346958694 relative error = 11.45650271611844 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1317.598517036333 x2[1] (numeric) = 1405.010549696628 absolute error = 87.41203266029424 relative error = 6.634193309272207 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.860000000001014 x1[1] (closed_form) = 2.000000694572968 x1[1] (numeric) = 1.768559704787301 absolute error = 0.2314409897856671 relative error = 11.57204547046837 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1344.19557135419 x2[1] (numeric) = 1433.376937228581 absolute error = 89.18136587439062 relative error = 6.63455287124225 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.870000000001017 x1[1] (closed_form) = 2.000000687661852 x1[1] (numeric) = 1.766225618167016 absolute error = 0.233775069494836 relative error = 11.68874945578825 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1371.329921810067 x2[1] (numeric) = 1462.316398987339 absolute error = 90.98647717727181 relative error = 6.634907889793253 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.88000000000102 x1[1] (closed_form) = 2.000000680819502 x1[1] (numeric) = 1.763868073586203 absolute error = 0.2361326072332992 relative error = 11.80662634257423 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1399.012422505944 x2[1] (numeric) = 1491.840512193853 absolute error = 92.82808968790869 relative error = 6.635258429059037 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.890000000001024 x1[1] (closed_form) = 2.000000674045235 x1[1] (numeric) = 1.761486835288433 absolute error = 0.2385138387568018 relative error = 11.92568791861353 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1427.254146811204 x2[1] (numeric) = 1521.961087948003 absolute error = 94.70694113679974 relative error = 6.635604552167227 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.900000000001027 x1[1] (closed_form) = 2.000000667338373 x1[1] (numeric) = 1.759081665147888 absolute error = 0.2409190021904855 relative error = 12.04594609016324 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1456.06639179213 x2[1] (numeric) = 1552.690175953308 absolute error = 96.62378416117804 relative error = 6.635946321256222 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.91000000000103 x1[1] (closed_form) = 2.000000660698245 x1[1] (numeric) = 1.756652322645558 absolute error = 0.2433483380526871 relative error = 12.16741288314019 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1485.460682730883 x2[1] (numeric) = 1584.040069337067 absolute error = 98.57938660618311 relative error = 6.636283797491963 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.920000000001034 x1[1] (closed_form) = 2.000000654124188 x1[1] (numeric) = 1.754198564845154 absolute error = 0.2458020892790334 relative error = 12.29010044432568 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1515.44877773577 x2[1] (numeric) = 1616.023309567887 absolute error = 100.5745318321169 relative error = 6.63661704108437 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.930000000001037 x1[1] (closed_form) = 2.000000647615543 x1[1] (numeric) = 1.751720146368867 absolute error = 0.2482805012466769 relative error = 12.41402104257735 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1546.042672444638 x2[1] (numeric) = 1648.652691472548 absolute error = 102.6100190279096 relative error = 6.636946111303661 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.94000000000104 x1[1] (closed_form) = 2.000000641171661 x1[1] (numeric) = 1.749216819372813 absolute error = 0.2507838217988481 relative error = 12.5391870700567 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1577.254604823296 x2[1] (numeric) = 1681.94126835421 absolute error = 104.6866635309134 relative error = 6.637271066496059 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.950000000001044 x1[1] (closed_form) = 2.000000634791896 x1[1] (numeric) = 1.746688333522184 absolute error = 0.253312301269712 relative error = 12.66561104347198 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1609.09706006086 x2[1] (numeric) = 1715.902357214022 absolute error = 106.8052971531627 relative error = 6.637591964099607 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.960000000001047 x1[1] (closed_form) = 2.000000628475612 x1[1] (numeric) = 1.744134435966291 absolute error = 0.2558661925093206 relative error = 12.79330560532575 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1641.582775563997 x2[1] (numeric) = 1750.549544078217 absolute error = 108.9667685142201 relative error = 6.637908860659344 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.97000000000105 x1[1] (closed_form) = 2.000000622222175 x1[1] (numeric) = 1.741554871313254 absolute error = 0.2584457509089204 relative error = 12.92228352518034 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1674.724746052057 x2[1] (numeric) = 1785.896689432809 absolute error = 111.1719433807523 relative error = 6.638221811842544 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.980000000001054 x1[1] (closed_form) = 2.00000061603096 x1[1] (numeric) = 1.738949381604448 absolute error = 0.2610512344265126 relative error = 13.0525577009358 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1708.536228755134 x2[1] (numeric) = 1821.957933768095 absolute error = 113.4217050129605 relative error = 6.638530872453393 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 TOP MAIN SOLVE Loop t[1] = 7.990000000001057 x1[1] (closed_form) = 2.00000060990135 x1[1] (numeric) = 1.736317706288733 absolute error = 0.2636829036126167 relative error = 13.18414116011809 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 2 h = 0.001 x2[1] (closed_form) = 1743.030748717137 x2[1] (numeric) = 1858.74770323515 absolute error = 115.7169545180136 relative error = 6.638836096447569 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 3 h = 0.001 Finished! diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ; diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ; Iterations = 6500 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 2 Minutes 59.0 Seconds Percent Done = 100 %