##############ECHO OF PROBLEM################# ##############temp/mtest9_revpostode.ode################# diff(y2,x,1) = y1 - 2.0; diff(y1,x,1) = diff(y2,x,5); ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.5; x_end = 10.0; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); array_y2_init[3 + 1] = exact_soln_y2ppp(x_start); array_y2_init[4 + 1] = exact_soln_y2pppp(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; glob_subiter_method = 3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.005 ; glob_display_interval = 0.1; glob_look_poles = true; glob_max_iter = 10000; glob_max_minutes = 10; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y1 (double x) { return(2.0 + sin(x)); } double exact_soln_y2 (double x) { return(2.0 - cos(x)); } double exact_soln_y2p (double x) { return(sin(x)); } double exact_soln_y2pp (double x) { return(cos(x)); } double exact_soln_y2ppp (double x) { return(-sin(x)); } double exact_soln_y2pppp (double x) { return(-cos(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.5 y2[1] (analytic) = 1.122417438109627 y2[1] (numeric) = 1.122417438109627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 y1[1] (analytic) = 2.479425538604203 y1[1] (numeric) = 2.479425538604203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 x[1] = 0.5 y2[1] (analytic) = 1.122417438109627 y2[1] (numeric) = 1.122417438109627 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 y1[1] (analytic) = 2.479425538604203 y1[1] (numeric) = 2.479425538604203 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.6000000000000001 y2[1] (analytic) = 1.174664385090322 y2[1] (numeric) = 1.174664343929057 absolute error = 4.116126439690504e-08 relative error = 3.504087203064396e-06 % Correct digits = 7 h = 0.005 y1[1] (analytic) = 2.564642473395035 y1[1] (numeric) = 2.479425538604203 absolute error = 0.08521693479083225 relative error = 3.322760800963549 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.7000000000000002 y2[1] (analytic) = 1.235157812715512 y2[1] (numeric) = 1.235156457512677 absolute error = 1.355202834840696e-06 relative error = 0.0001097190027775693 % Correct digits = 5 h = 0.005 y1[1] (analytic) = 2.644217687237691 y1[1] (numeric) = 2.479425538604203 absolute error = 0.164792148633488 relative error = 6.232170272094345 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.8000000000000003 y2[1] (analytic) = 1.303293290652835 y2[1] (numeric) = 1.303282715937598 absolute error = 1.057471523679965e-05 relative error = 0.000811384153715903 % Correct digits = 5 h = 0.005 y1[1] (analytic) = 2.717356090899523 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2379305522953201 relative error = 8.755957788975616 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.9000000000000004 y2[1] (analytic) = 1.378390031729336 y2[1] (numeric) = 1.378344298024744 absolute error = 4.573370459182158e-05 relative error = 0.003317907380282184 % Correct digits = 4 h = 0.005 y1[1] (analytic) = 2.783326909627484 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3039013710232807 relative error = 10.91863733189554 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1 y2[1] (analytic) = 1.459697694131861 y2[1] (numeric) = 1.459554624338848 absolute error = 0.0001430697930122626 relative error = 0.009801330343085309 % Correct digits = 4 h = 0.005 y1[1] (analytic) = 2.841470984807897 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3620454462036937 relative error = 12.74147961177125 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.104999999999998 y2[1] (analytic) = 1.550865566747637 y2[1] (numeric) = 1.550485163270317 absolute error = 0.0003804034773198239 relative error = 0.02452846239391198 % Correct digits = 3 h = 0.005 y1[1] (analytic) = 2.893464191149863 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4140386525456599 relative error = 14.30944449950566 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.204999999999996 y2[1] (analytic) = 1.642306950998197 y2[1] (numeric) = 1.641470993054833 absolute error = 0.0008359579433641073 relative error = 0.05090144341506993 % Correct digits = 3 h = 0.005 y1[1] (analytic) = 2.933839216726195 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4544136781219921 relative error = 15.48870420476082 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.304999999999994 y2[1] (analytic) = 1.737322285956781 y2[1] (numeric) = 1.735664482858959 absolute error = 0.001657803097821819 relative error = 0.0954228879248407 % Correct digits = 3 h = 0.005 y1[1] (analytic) = 2.964883629535204 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4854580909310009 relative error = 16.37359679466087 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.404999999999992 y2[1] (analytic) = 1.834962209804376 y2[1] (numeric) = 1.831923632309864 absolute error = 0.003038577494512085 relative error = 0.1655934644472065 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 2.98628724406602 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5068617054618172 relative error = 16.97297225740725 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.50499999999999 y2[1] (analytic) = 1.934251136697366 y2[1] (numeric) = 1.929018682778528 absolute error = 0.00523245391883842 relative error = 0.2705157473901018 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 2.997836202477346 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5184106638731434 relative error = 17.29282818870291 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.604999999999988 y2[1] (analytic) = 2.034197004498791 y2[1] (numeric) = 2.02563211737974 absolute error = 0.008564887119050901 relative error = 0.4210451151048281 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 2.999415111394314 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5199895727901112 relative error = 17.3363657072591 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.704999999999985 y2[1] (analytic) = 2.133801187135291 y2[1] (numeric) = 2.120358660972104 absolute error = 0.01344252616318764 relative error = 0.6299802551537025 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 2.991008194880944 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5115826562767407 relative error = 17.10402054906787 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.804999999999983 y2[1] (analytic) = 2.232068472538728 y2[1] (numeric) = 2.21170528015803 absolute error = 0.02036319238069817 relative error = 0.9123014204639214 % Correct digits = 2 h = 0.005 y1[1] (analytic) = 2.972699452068079 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4932739134638764 relative error = 16.59346736585531 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 1.904999999999981 y2[1] (analytic) = 2.328017006476196 y2[1] (numeric) = 2.298091183283744 absolute error = 0.02992582319245152 relative error = 1.285464114274181 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.944671817861841 y1[1] (numeric) = 2.479425538604203 absolute error = 0.465246279257638 relative error = 15.79959696817618 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.004999999999979 y2[1] (analytic) = 2.420688102912959 y2[1] (numeric) = 2.377847820439278 absolute error = 0.04284028247368088 relative error = 1.769756393734847 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.907205335118514 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4277797965143111 relative error = 14.71446792377575 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.104999999999977 y2[1] (analytic) = 2.509155822886415 y2[1] (numeric) = 2.449218883458478 absolute error = 0.05993693942793765 relative error = 2.38872926429053 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.860674356548897 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3812488179446936 relative error = 13.3272358341629 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.204999999999975 y2[1] (analytic) = 2.592536226182129 y2[1] (numeric) = 2.510360305918999 absolute error = 0.08217592026312959 relative error = 3.169711552464788 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.80554380430976 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3261182657055568 relative error = 11.62406607961663 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.304999999999973 y2[1] (analytic) = 2.669996203372266 y2[1] (numeric) = 2.55934026314231 absolute error = 0.1106559402299565 relative error = 4.144423130272452 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.74236452465534 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2629389860511369 relative error = 9.588039215325797 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.40499999999997 y2[1] (analytic) = 2.740761799969608 y2[1] (numeric) = 2.594139172193689 absolute error = 0.1466226277759191 relative error = 5.349703421054137 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.67176778406365 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1923422454594466 relative error = 7.199062980200392 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.504999999999968 y2[1] (analytic) = 2.804125949524949 y2[1] (numeric) = 2.612649691882223 absolute error = 0.191476257642726 relative error = 6.828375796570917 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.594458961830502 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1150334232262993 relative error = 4.433811631583421 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.604999999999966 y2[1] (analytic) = 2.859455538401336 y2[1] (numeric) = 2.612676722760815 absolute error = 0.2467788156405217 relative error = 8.630272872803287 % Correct digits = 1 h = 0.005 y1[1] (analytic) = 2.511210502152752 y1[1] (numeric) = 2.479425538604203 absolute error = 0.03178496354854898 relative error = 1.265722786731782 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.704999999999964 y2[1] (analytic) = 2.906197731636247 y2[1] (numeric) = 2.591937407126174 absolute error = 0.3142603245100726 relative error = 10.81345295569885 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 2.422854196121217 y1[1] (numeric) = 2.479425538604203 absolute error = 0.05657134248298634 relative error = 2.334904946965123 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.804999999999962 y2[1] (analytic) = 2.943885496685793 y2[1] (numeric) = 2.548061129018822 absolute error = 0.3958243676669713 relative error = 13.44564413638329 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 2.330272870739052 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1491526678651511 relative error = 6.400652461694196 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 2.90499999999996 y2[1] (analytic) = 2.972142269859517 y2[1] (numeric) = 2.478589514223093 absolute error = 0.4935527556364239 relative error = 16.60595997175305 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 2.234391568006159 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2450339705980444 relative error = 10.96647401049309 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.004999999999958 y2[1] (analytic) = 2.990685718820316 y2[1] (numeric) = 2.380976430267131 absolute error = 0.609709288553185 relative error = 20.38693951411539 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 2.136168302205299 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3432572363989039 relative error = 16.06882922307845 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.104999999999956 y2[1] (analytic) = 2.999330563555822 y2[1] (numeric) = 2.25258798642289 absolute error = 0.7467425771329319 relative error = 24.89697488521038 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 2.036584487740061 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4428410508641423 relative error = 21.74430049575553 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.204999999999953 y2[1] (analytic) = 2.997990427635044 y2[1] (numeric) = 2.090702533706137 absolute error = 0.9072878939289075 relative error = 30.26320182898712 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.936635133166547 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5427904054376558 relative error = 28.02749966381906 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.304999999999951 y2[1] (analytic) = 2.986678701253113 y2[1] (numeric) = 1.892510664876446 absolute error = 1.094168036376666 relative error = 36.63494288547306 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.837318899396794 y1[1] (numeric) = 2.479425538604203 absolute error = 0.6421066392074093 relative error = 34.94802341706809 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.404999999999949 y2[1] (analytic) = 2.965508407440876 y2[1] (numeric) = 1.655115214437209 absolute error = 1.310393193003667 relative error = 44.18780906895113 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.739628121409045 y1[1] (numeric) = 2.479425538604203 absolute error = 0.739797417195158 relative error = 42.52618177935322 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.504999999999947 y2[1] (analytic) = 2.934691072776137 y2[1] (numeric) = 1.375531258635621 absolute error = 1.559159814140516 relative error = 53.12858408178527 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.644538893164677 y1[1] (numeric) = 2.479425538604203 absolute error = 0.8348866454395263 relative error = 50.76721802747443 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.604999999999945 y2[1] (analytic) = 2.894534613880011 y2[1] (numeric) = 1.050686115462694 absolute error = 1.843848498417317 relative error = 63.70103468708257 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.553001314799987 y1[1] (numeric) = 2.479425538604203 absolute error = 0.926424223804216 relative error = 59.65379520129584 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.704999999999943 y2[1] (analytic) = 2.845440260815825 y2[1] (numeric) = 0.6774193446532459 absolute error = 2.168020916162579 relative error = 76.19281086368613 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.465929999539695 y1[1] (numeric) = 2.479425538604203 absolute error = 1.013495539064508 relative error = 69.13669407016346 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.804999999999941 y2[1] (analytic) = 2.787898548130962 y2[1] (numeric) = 0.2524827476859105 absolute error = 2.535415800445052 relative error = 90.94361780649523 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.384194935183932 y1[1] (numeric) = 2.479425538604203 absolute error = 1.095230603420271 relative error = 79.12401465872554 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 3.904999999999939 y2[1] (analytic) = 2.722484413597809 y2[1] (numeric) = -0.2274596322168705 absolute error = 2.949944045814679 relative error = 108.3548552594385 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.30861279147772 y1[1] (numeric) = 2.479425538604203 absolute error = 1.170812747126483 relative error = 89.46976177761266 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.004999999999937 y2[1] (analytic) = 2.64985145362558 y2[1] (numeric) = -0.7658315100888432 absolute error = 3.415682963714423 relative error = 128.9009223155138 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.239938760216836 y1[1] (numeric) = 2.479425538604203 absolute error = 1.239486778387367 relative error = 99.96354805221266 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.104999999999935 y2[1] (analytic) = 2.570725392741056 y2[1] (numeric) = -1.366144359219943 absolute error = 3.936869751961 relative error = 153.1423684177827 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.178859009621023 y1[1] (numeric) = 2.479425538604203 absolute error = 1.30056652898318 relative error = 110.3241794284867 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.204999999999933 y2[1] (analytic) = 2.485896832388997 y2[1] (numeric) = -2.031997411156295 absolute error = 4.517894243545292 relative error = 181.7410193649712 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.125983828367954 y1[1] (numeric) = 2.479425538604203 absolute error = 1.353441710236249 relative error = 120.2008124928386 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.30499999999993 y2[1] (analytic) = 2.396213351503845 y2[1] (numeric) = -2.767077655700214 absolute error = 5.163291007204059 relative error = 215.4770986466467 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.081841527790496 y1[1] (numeric) = 2.479425538604203 absolute error = 1.397584010813707 relative error = 129.1856501079293 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.404999999999928 y2[1] (analytic) = 2.302571037781187 y2[1] (numeric) = -3.575159840910201 absolute error = 5.877730878691389 relative error = 255.2681668555734 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.046873163164516 y1[1] (numeric) = 2.479425538604203 absolute error = 1.432552375439687 relative error = 136.8410640224389 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.504999999999926 y2[1] (analytic) = 2.205905534265709 y2[1] (numeric) = -4.460106473100948 absolute error = 6.666012007366657 relative error = 302.1893686660343 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.021428126830352 y1[1] (numeric) = 2.479425538604203 absolute error = 1.457997411773851 relative error = 142.7410674795338 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.604999999999924 y2[1] (analytic) = 2.107182690715167 y2[1] (numeric) = -5.425867816843336 absolute error = 7.533050507558503 relative error = 357.4939439637208 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.005760657180045 y1[1] (numeric) = 2.479425538604203 absolute error = 1.473664881424158 relative error = 146.5224226960742 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.704999999999922 y2[1] (analytic) = 2.007388913148886 y2[1] (numeric) = -6.476481894964436 absolute error = 8.483870808113322 relative error = 422.6321443015801 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.000027298391362 y1[1] (numeric) = 2.479425538604203 absolute error = 1.479398240212841 relative error = 147.935785612312 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.80499999999992 y2[1] (analytic) = 1.907521308004872 y2[1] (numeric) = -7.616074488547503 absolute error = 9.523595796552375 relative error = 499.2655000280632 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.004285336290125 y1[1] (numeric) = 2.479425538604203 absolute error = 1.475140202314078 relative error = 146.884570451194 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 4.904999999999918 y2[1] (analytic) = 1.808577719381882 y2[1] (numeric) = -8.848859136931992 absolute error = 10.65743685631387 relative error = 589.2717101455983 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.018492225969168 y1[1] (numeric) = 2.479425538604203 absolute error = 1.460933312635035 relative error = 143.4407917296425 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.004999999999916 y2[1] (analytic) = 1.711546758911034 y2[1] (numeric) = -10.17913713771353 absolute error = 11.89068389662457 relative error = 694.7332192192035 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.042506016882993 y1[1] (numeric) = 2.479425538604203 absolute error = 1.43691952172121 relative error = 137.8332113628927 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.104999999999913 y2[1] (analytic) = 1.617397927875183 y2[1] (numeric) = -11.61129754674396 absolute error = 13.22869547461914 relative error = 817.8998653719071 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.076086771170692 y1[1] (numeric) = 2.479425538604203 absolute error = 1.403338767433511 relative error = 130.4113018606107 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.204999999999911 y2[1] (analytic) = 1.527071930272573 y2[1] (numeric) = -13.14981717813127 absolute error = 14.67688910840384 relative error = 961.1131484673488 % Correct digits = 0 h = 0.005 y1[1] (analytic) = 1.118898961035745 y1[1] (numeric) = 2.479425538604203 absolute error = 1.360526577568458 relative error = 121.5951238625732 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.304999999999909 y2[1] (analytic) = 1.441471273613444 y2[1] (numeric) = -14.79926060423969 absolute error = 16.24073187785313 relative error = 1126.677456231318 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.170514821228847 y1[1] (numeric) = 2.479425538604203 absolute error = 1.308910717375356 relative error = 111.8235065149552 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.404999999999907 y2[1] (analytic) = 1.361451251363318 y2[1] (numeric) = -16.5642801556896 absolute error = 17.92573140705291 relative error = 1316.663478703523 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.230418623136885 y1[1] (numeric) = 2.479425538604203 absolute error = 1.249006915467318 relative error = 101.5107291112876 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.504999999999905 y2[1] (analytic) = 1.287811397133417 y2[1] (numeric) = -18.44961592135758 absolute error = 19.737427318491 relative error = 1532.6333780261 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.298011827772758 y1[1] (numeric) = 2.479425538604203 absolute error = 1.181413710831445 relative error = 91.01717608063852 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.604999999999903 y2[1] (analytic) = 1.221287496005106 y2[1] (numeric) = -20.46009574837641 absolute error = 21.68138324438152 relative error = 1775.289054813256 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.372619066179086 y1[1] (numeric) = 2.479425538604203 absolute error = 1.106806472425117 relative error = 80.63464217396435 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.704999999999901 y2[1] (analytic) = 1.162544232808581 y2[1] (numeric) = -22.60063524213506 absolute error = 23.76317947494364 relative error = 2044.066694781528 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.453494887491589 y1[1] (numeric) = 2.479425538604203 absolute error = 1.025930651112615 relative error = 70.58371239840716 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.804999999999898 y2[1] (analytic) = 1.11216855081176 y2[1] (numeric) = -24.87623776627865 absolute error = 25.98840631709041 relative error = 2336.732709994518 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.539831207237703 y1[1] (numeric) = 2.479425538604203 absolute error = 0.9395943313665003 relative error = 61.01930698313583 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 5.904999999999896 y2[1] (analytic) = 1.07066378717717 y2[1] (numeric) = -27.29199444270853 absolute error = 28.3626582298857 relative error = 2649.072339007982 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.630765381449518 y1[1] (numeric) = 2.479425538604203 absolute error = 0.8486601571546846 relative error = 52.0406041732592 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.004999999999894 y2[1] (analytic) = 1.038444643783396 y2[1] (numeric) = -29.85308415158223 absolute error = 30.89152879536563 relative error = 2974.788206602675 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.725388825917153 y1[1] (numeric) = 2.479425538604203 absolute error = 0.7540367126870504 relative error = 43.70242239665789 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.104999999999892 y2[1] (analytic) = 1.015833043660996 y2[1] (numeric) = -32.56477353131346 absolute error = 33.58060657497446 relative error = 3305.721032065677 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.822756094461837 y1[1] (numeric) = 2.479425538604203 absolute error = 0.6566694441423657 relative error = 36.02618288522279 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.20499999999989 y2[1] (analytic) = 1.003054914443992 y2[1] (numeric) = -35.43241697857216 absolute error = 36.43547189301615 relative error = 3632.450364216885 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.921894325521613 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5575312130825896 relative error = 29.00946247038178 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.304999999999888 y2[1] (analytic) = 1.000237930975632 y2[1] (numeric) = -38.46145664828438 absolute error = 39.46169457926 relative error = 3945.230765320915 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.021812962662474 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4576125759417287 relative error = 22.63377396389378 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.404999999999886 y2[1] (analytic) = 1.007410239623561 y2[1] (numeric) = -41.65742245363241 absolute error = 42.66483269325597 relative error = 4235.100162293223 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.121513651890819 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3579118867133841 relative error = 16.8705907875913 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.504999999999884 y2[1] (analytic) = 1.024500177050619 y2[1] (numeric) = -45.02593206605474 absolute error = 46.05043224310536 relative error = 4494.916962891855 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.220000216876543 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2594253217276603 relative error = 11.68582416143463 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.604999999999881 y2[1] (analytic) = 1.051336986251217 y2[1] (numeric) = -48.57269091524603 absolute error = 49.62402790149724 relative error = 4720.087712165735 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.31628861241764 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1631369261865632 relative error = 7.04303105027521 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.704999999999879 y2[1] (analytic) = 1.087652522698892 y2[1] (numeric) = -52.30349218915712 absolute error = 53.39114471185601 relative error = 4908.84207939606 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.409416756694575 y1[1] (numeric) = 2.479425538604203 absolute error = 0.07000878190962823 relative error = 2.905631900961447 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.804999999999877 y2[1] (analytic) = 1.13308393355778 y2[1] (numeric) = -56.22421683399506 absolute error = 57.35730076755284 relative error = 5062.052251279933 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.498454144073804 y1[1] (numeric) = 2.479425538604203 absolute error = 0.01902860546960117 relative error = 0.7616151577060549 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 6.904999999999875 y2[1] (analytic) = 1.187177283188207 y2[1] (numeric) = -60.34083355422307 absolute error = 61.52801083741128 relative error = 5182.714638219461 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.582511142412482 y1[1] (numeric) = 2.479425538604203 absolute error = 0.103085603808279 relative error = 3.991680892109547 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.004999999999873 y2[1] (analytic) = 1.249392088721548 y2[1] (numeric) = -64.6593988125606 absolute error = 65.90879090128215 relative error = 5275.268788417247 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.660747881968758 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1813223433645548 relative error = 6.814713434269073 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.104999999999871 y2[1] (analytic) = 1.319106720386396 y2[1] (numeric) = -69.1860568299832 absolute error = 70.5051635503696 relative error = 5344.917318722858 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.732382647102613 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2529571084984101 relative error = 9.25774831598506 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.204999999999869 y2[1] (analytic) = 1.395624612627749 y2[1] (numeric) = -73.92703958572271 absolute error = 75.32266419835045 relative error = 5397.057598212553 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.796699686920135 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3172741483159323 relative error = 11.34459126232929 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.304999999999866 y2[1] (analytic) = 1.478181223959784 y2[1] (numeric) = -78.88866681726709 absolute error = 80.36684804122687 relative error = 5436.873824302709 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.853056366819855 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3736308282156515 relative error = 13.09580955220023 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.404999999999864 y2[1] (analytic) = 1.565951676011658 y2[1] (numeric) = -84.07734602036052 absolute error = 85.64329769637219 relative error = 5469.089436686719 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.900889589485255 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4214640508810517 relative error = 14.52878635604459 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.504999999999862 y2[1] (analytic) = 1.658058995439523 y2[1] (numeric) = -89.49957244900335 absolute error = 91.15763144444287 relative error = 5497.852108710918 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.939721421167024 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4602958825628209 relative error = 15.65780618695804 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.60499999999986 y2[1] (analytic) = 1.753582876354288 y2[1] (numeric) = -95.16192911545218 absolute error = 96.91551199180647 relative error = 5526.714094819093 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.969163867039096 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4897383284348926 relative error = 16.49414954396804 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.704999999999858 y2[1] (analytic) = 1.851568875713849 y2[1] (numeric) = -101.0710867902197 absolute error = 102.9226556659335 relative error = 5558.672810713185 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.988922747914694 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5094972093104908 relative error = 17.04618192845419 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.804999999999856 y2[1] (analytic) = 1.951037949802471 y2[1] (numeric) = -107.2338040020749 absolute error = 109.1848419518773 relative error = 5596.243884591355 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.998800639587528 y1[1] (numeric) = 2.479425538604203 absolute error = 0.519375100983325 relative error = 17.31942744465877 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 7.904999999999854 y2[1] (analytic) = 2.050996236511965 y2[1] (numeric) = -113.6569270380428 absolute error = 115.7079232745547 relative error = 5641.547322940674 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.998698845429199 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5192733068249962 relative error = 17.31662076091784 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.004999999999852 y2[1] (analytic) = 2.150444985683346 y2[1] (numeric) = -120.3473899434047 absolute error = 122.497834929088 relative error = 5696.394734328066 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.98861838253329 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5091928439290867 relative error = 17.03773378712446 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.104999999999867 y2[1] (analytic) = 2.248390538288296 y2[1] (numeric) = -127.3122145216982 absolute error = 129.5606050599865 relative error = 5762.371031796871 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.968659971552893 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4892344329486895 relative error = 16.47997539754522 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.204999999999883 y2[1] (analytic) = 2.343854254741665 y2[1] (numeric) = -134.558510334717 absolute error = 136.9023645894586 relative error = 5840.907740423807 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.939023030333151 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4595974917289483 relative error = 15.63776421571119 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.304999999999898 y2[1] (analytic) = 2.435882293144759 y2[1] (numeric) = -142.0934747025109 absolute error = 144.5293569956557 relative error = 5933.347329729392 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.900003681394063 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4205781427898603 relative error = 14.50267616859313 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.404999999999914 y2[1] (analytic) = 2.523555139758279 y2[1] (numeric) = -149.924392703386 absolute error = 152.4479478431442 relative error = 6040.999280790299 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.851991793172147 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3725662545679436 relative error = 13.0633704998693 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.50499999999993 y2[1] (analytic) = 2.605996796479652 y2[1] (numeric) = -158.0586371739046 absolute error = 160.6646339703842 relative error = 6165.18923535978 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.795467084583894 y1[1] (numeric) = 2.479425538604203 absolute error = 0.316041545979691 relative error = 11.30550052699812 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.604999999999945 y2[1] (analytic) = 2.682383533526506 y2[1] (numeric) = -166.503668708885 absolute error = 169.1860522424115 relative error = 6307.302819592843 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.730994331832935 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2515687932287323 relative error = 9.211619017161755 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.704999999999961 y2[1] (analytic) = 2.751952119872369 y2[1] (numeric) = -175.2670356614018 absolute error = 178.0189877812742 relative error = 6468.825765381792 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.659217725352899 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1797921867486965 relative error = 6.761093122784318 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.804999999999977 y2[1] (analytic) = 2.814007449198788 y2[1] (numeric) = -184.3563741427861 absolute error = 187.1703815919849 relative error = 6651.381880502007 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.580854433269544 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1014288946653412 relative error = 3.930050969083385 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 8.899999999999991 y2[1] (analytic) = 2.865435209241108 y2[1] (numeric) = -193.3002108265412 absolute error = 196.1656460357823 relative error = 6845.928513865632 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.501020856457892 y1[1] (numeric) = 2.479425538604203 absolute error = 0.02159531785368918 relative error = 0.8634601266090146 % Correct digits = 2 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.000000000000007 y2[1] (analytic) = 2.91113026188468 y2[1] (numeric) = -203.0474895004332 absolute error = 205.9586197623179 relative error = 7074.867877227151 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.41211848524175 y1[1] (numeric) = 2.479425538604203 absolute error = 0.06730705336245313 relative error = 2.790370944639041 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.100000000000023 y2[1] (analytic) = 2.947721602131119 y2[1] (numeric) = -213.1437775331584 absolute error = 216.0914991352895 relative error = 7330.797419235978 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.31909836234933 y1[1] (numeric) = 2.479425538604203 absolute error = 0.1603271762548726 relative error = 6.913340928431141 % Correct digits = 1 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.200000000000038 y2[1] (analytic) = 2.974843621404172 y2[1] (numeric) = -223.5970576811599 absolute error = 226.571901302564 relative error = 7616.262571664812 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.22288991410021 y1[1] (numeric) = 2.479425538604203 absolute error = 0.2565356245039934 relative error = 11.54063558778775 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.300000000000054 y2[1] (analytic) = 2.99222532545261 y2[1] (numeric) = -234.4154004591364 absolute error = 237.407625784589 relative error = 7934.149335785006 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.124454423507009 y1[1] (numeric) = 2.479425538604203 absolute error = 0.3549711150971944 relative error = 16.70881291542206 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.40000000000007 y2[1] (analytic) = 2.999693042035208 y2[1] (numeric) = -245.6069641400432 absolute error = 248.6066571820784 relative error = 8287.736568319195 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 2.024775425453289 y1[1] (numeric) = 2.479425538604203 absolute error = 0.4546501131509144 relative error = 22.45434764940075 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.500000000000085 y2[1] (analytic) = 2.997172156196372 y2[1] (numeric) = -257.1799947550916 absolute error = 260.1771669112879 relative error = 8680.754836634795 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.924848879538106 y1[1] (numeric) = 2.479425538604203 absolute error = 0.5545766590660974 relative error = 28.8114389114628 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.600000000000101 y2[1] (analytic) = 2.984687855794109 y2[1] (numeric) = -269.1428260937489 absolute error = 272.127513949543 relative error = 9117.453050283559 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.825673218776921 y1[1] (numeric) = 2.479425538604203 absolute error = 0.6537523198272823 relative error = 35.8088355081011 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.700000000000117 y2[1] (analytic) = 2.962364879831278 y2[1] (numeric) = -281.5038797037391 absolute error = 284.4662445835704 relative error = 9602.67408381415 % Correct digits = -1 h = 0.005 y1[1] (analytic) = 1.728239373588945 y1[1] (numeric) = 2.479425538604203 absolute error = 0.7511861650152583 relative error = 43.46540048183887 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.800000000000132 y2[1] (analytic) = 2.930426272104705 y2[1] (numeric) = -294.2716648910421 absolute error = 297.2020911631467 relative error = 10141.94057677789 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 1.633520870747949 y1[1] (numeric) = 2.479425538604203 absolute error = 0.8459046678562536 relative error = 51.78413591183163 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 9.900000000000148 y2[1] (analytic) = 2.889191152625294 y2[1] (numeric) = -307.4547787198937 absolute error = 310.343969872519 relative error = 10741.55199425008 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 1.542464106224547 y1[1] (numeric) = 2.479425538604203 absolute error = 0.9369614323796556 relative error = 60.74445613344182 % Correct digits = 0 h = 0.005 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 10.00000000000016 y2[1] (analytic) = 2.839071529076364 y2[1] (numeric) = -321.0619060127866 absolute error = 323.900977541863 relative error = 11408.69380093561 % Correct digits = -2 h = 0.005 y1[1] (analytic) = 1.455978889110493 y1[1] (numeric) = 2.479425538604203 absolute error = 1.02344664949371 relative error = 70.29268467752085 % Correct digits = 0 h = 0.005 Finished! diff(y2,x,1) = y1 - 2.0; diff(y1,x,1) = diff(y2,x,5); Iterations = 1900 Total Elapsed Time Unknown Elapsed Time(since restart) Unknown Time to Timeout = 15 Minutes 34 Seconds Percent Done = 100.1 %