##############ECHO OF PROBLEM################# ##############temp/lin_exppostode.ode################# diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ; ! /* BEGIN FIRST INPUT BLOCK */ max_terms = 30; Digits = 32; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start = 1.0; x_end = 10.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; /* 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_y (double x) { return(10.0 * exp(0.1 * x + 0.2)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 1 y[1] (analytic) = 13.49858807576003 y[1] (numeric) = 13.49858807576003 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.104999999999998 y[1] (analytic) = 13.64106997145791 y[1] (numeric) = 13.64106997145791 absolute error = 3.552713678800501e-15 relative error = 2.604424496197199e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.204999999999996 y[1] (analytic) = 13.77816500387789 y[1] (numeric) = 13.7781650038779 absolute error = 8.881784197001252e-15 relative error = 6.446275098680746e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.304999999999993 y[1] (analytic) = 13.91663786428009 y[1] (numeric) = 13.91663786428011 absolute error = 1.243449787580175e-14 relative error = 8.934987025650386e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.404999999999991 y[1] (analytic) = 14.05650240006597 y[1] (numeric) = 14.05650240006598 absolute error = 1.243449787580175e-14 relative error = 8.84608241929614e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.504999999999989 y[1] (analytic) = 14.19777259780563 y[1] (numeric) = 14.19777259780565 absolute error = 1.77635683940025e-14 relative error = 1.25115177550794e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.604999999999987 y[1] (analytic) = 14.3404625846366 y[1] (numeric) = 14.34046258463662 absolute error = 1.953992523340276e-14 relative error = 1.362572868070274e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.704999999999985 y[1] (analytic) = 14.48458662967646 y[1] (numeric) = 14.48458662967647 absolute error = 1.77635683940025e-14 relative error = 1.226377310458275e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.804999999999983 y[1] (analytic) = 14.63015914544981 y[1] (numeric) = 14.63015914544983 absolute error = 2.309263891220326e-14 relative error = 1.578427048032858e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 1.904999999999981 y[1] (analytic) = 14.77719468932954 y[1] (numeric) = 14.77719468932957 absolute error = 2.664535259100376e-14 relative error = 1.803140119027063e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.004999999999979 y[1] (analytic) = 14.92570796499258 y[1] (numeric) = 14.92570796499262 absolute error = 3.197442310920451e-14 relative error = 2.142238290083039e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.104999999999976 y[1] (analytic) = 15.07571382389026 y[1] (numeric) = 15.07571382389029 absolute error = 3.019806626980426e-14 relative error = 2.003093626117381e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.204999999999974 y[1] (analytic) = 15.22722726673345 y[1] (numeric) = 15.22722726673349 absolute error = 3.375077994860476e-14 relative error = 2.216475748171123e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.304999999999972 y[1] (analytic) = 15.38026344499272 y[1] (numeric) = 15.38026344499275 absolute error = 3.197442310920451e-14 relative error = 2.07892558040768e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.40499999999997 y[1] (analytic) = 15.53483766241341 y[1] (numeric) = 15.53483766241345 absolute error = 3.375077994860476e-14 relative error = 2.172586587773934e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.504999999999968 y[1] (analytic) = 15.69096537654609 y[1] (numeric) = 15.69096537654613 absolute error = 4.085620730620576e-14 relative error = 2.603804566879942e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.604999999999966 y[1] (analytic) = 15.84866220029227 y[1] (numeric) = 15.84866220029232 absolute error = 4.263256414560601e-14 relative error = 2.689978725448499e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.704999999999964 y[1] (analytic) = 16.00794390346575 y[1] (numeric) = 16.0079439034658 absolute error = 4.973799150320701e-14 relative error = 3.107081821572267e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.804999999999962 y[1] (analytic) = 16.16882641436956 y[1] (numeric) = 16.16882641436963 absolute error = 6.394884621840902e-14 relative error = 3.955070366862025e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 2.904999999999959 y[1] (analytic) = 16.33132582138888 y[1] (numeric) = 16.33132582138895 absolute error = 6.750155989720952e-14 relative error = 4.133256579132343e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.004999999999957 y[1] (analytic) = 16.49545837459983 y[1] (numeric) = 16.4954583745999 absolute error = 7.460698725481052e-14 relative error = 4.522880514171856e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.104999999999955 y[1] (analytic) = 16.66124048739449 y[1] (numeric) = 16.66124048739458 absolute error = 8.526512829121202e-14 relative error = 5.117573829855085e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.204999999999953 y[1] (analytic) = 16.82868873812231 y[1] (numeric) = 16.8286887381224 absolute error = 8.881784197001252e-14 relative error = 5.27776366609075e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.304999999999951 y[1] (analytic) = 16.99781987174789 y[1] (numeric) = 16.99781987174798 absolute error = 9.237055564881302e-14 relative error = 5.434259001787771e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.404999999999949 y[1] (analytic) = 17.16865080152554 y[1] (numeric) = 17.16865080152564 absolute error = 9.947598300641403e-14 relative error = 5.794047776752204e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.504999999999947 y[1] (analytic) = 17.34119861069061 y[1] (numeric) = 17.34119861069071 absolute error = 9.947598300641403e-14 relative error = 5.736396038108258e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.604999999999944 y[1] (analytic) = 17.51548055416779 y[1] (numeric) = 17.51548055416789 absolute error = 1.030286966852145e-13 relative error = 5.882150727557342e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.704999999999942 y[1] (analytic) = 17.69151406029667 y[1] (numeric) = 17.69151406029677 absolute error = 9.947598300641403e-14 relative error = 5.622807786115843e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.80499999999994 y[1] (analytic) = 17.86931673257455 y[1] (numeric) = 17.86931673257466 absolute error = 1.06581410364015e-13 relative error = 5.964492764836629e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 3.904999999999938 y[1] (analytic) = 18.04890635141685 y[1] (numeric) = 18.04890635141695 absolute error = 1.030286966852145e-13 relative error = 5.708306901217133e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.004999999999936 y[1] (analytic) = 18.23030087593508 y[1] (numeric) = 18.23030087593519 absolute error = 1.06581410364015e-13 relative error = 5.846387895040606e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.104999999999934 y[1] (analytic) = 18.41351844573288 y[1] (numeric) = 18.41351844573299 absolute error = 1.06581410364015e-13 relative error = 5.788215363518101e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.204999999999932 y[1] (analytic) = 18.5985773827199 y[1] (numeric) = 18.59857738272002 absolute error = 1.172395514004165e-13 relative error = 6.303683824191027e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.30499999999993 y[1] (analytic) = 18.78549619294406 y[1] (numeric) = 18.78549619294418 absolute error = 1.172395514004165e-13 relative error = 6.240961122147647e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.404999999999927 y[1] (analytic) = 18.97429356844215 y[1] (numeric) = 18.97429356844227 absolute error = 1.243449787580175e-13 relative error = 6.553339037866834e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.504999999999925 y[1] (analytic) = 19.16498838910904 y[1] (numeric) = 19.16498838910918 absolute error = 1.35003119794419e-13 relative error = 7.044257844222735e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.604999999999923 y[1] (analytic) = 19.35759972458573 y[1] (numeric) = 19.35759972458587 absolute error = 1.456612608308205e-13 relative error = 7.524758384471547e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.704999999999921 y[1] (analytic) = 19.55214683616625 y[1] (numeric) = 19.5521468361664 absolute error = 1.456612608308205e-13 relative error = 7.449885787548714e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.804999999999919 y[1] (analytic) = 19.74864917872391 y[1] (numeric) = 19.74864917872406 absolute error = 1.49213974509621e-13 relative error = 7.555654726520528e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 4.904999999999917 y[1] (analytic) = 19.9471264026567 y[1] (numeric) = 19.94712640265685 absolute error = 1.456612608308205e-13 relative error = 7.302368165242105e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.004999999999915 y[1] (analytic) = 20.14759835585242 y[1] (numeric) = 20.14759835585257 absolute error = 1.49213974509621e-13 relative error = 7.406042738899339e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.104999999999912 y[1] (analytic) = 20.35008508567344 y[1] (numeric) = 20.35008508567359 absolute error = 1.527666881884215e-13 relative error = 7.506931177205251e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.20499999999991 y[1] (analytic) = 20.55460684096149 y[1] (numeric) = 20.55460684096164 absolute error = 1.527666881884215e-13 relative error = 7.432235963958508e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.304999999999908 y[1] (analytic) = 20.76118407406253 y[1] (numeric) = 20.76118407406269 absolute error = 1.598721155460225e-13 relative error = 7.700529747036674e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.404999999999906 y[1] (analytic) = 20.96983744287202 y[1] (numeric) = 20.96983744287219 absolute error = 1.669775429036235e-13 relative error = 7.96274856009348e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.504999999999904 y[1] (analytic) = 21.18058781290073 y[1] (numeric) = 21.1805878129009 absolute error = 1.740829702612245e-13 relative error = 8.218986734409403e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.604999999999902 y[1] (analytic) = 21.39345625936127 y[1] (numeric) = 21.39345625936144 absolute error = 1.77635683940025e-13 relative error = 8.303271887743521e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.7049999999999 y[1] (analytic) = 21.60846406927568 y[1] (numeric) = 21.60846406927587 absolute error = 1.882938249764265e-13 relative error = 8.713892129156691e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.804999999999898 y[1] (analytic) = 21.82563274360414 y[1] (numeric) = 21.82563274360434 absolute error = 2.025046796916286e-13 relative error = 9.278295940857488e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 5.904999999999895 y[1] (analytic) = 22.04498399939505 y[1] (numeric) = 22.04498399939525 absolute error = 2.060573933704291e-13 relative error = 9.34713281606753e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.004999999999893 y[1] (analytic) = 22.26653977195678 y[1] (numeric) = 22.26653977195699 absolute error = 2.167155344068306e-13 relative error = 9.732789046988312e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.104999999999891 y[1] (analytic) = 22.49032221705121 y[1] (numeric) = 22.49032221705143 absolute error = 2.202682480856311e-13 relative error = 9.793912508671531e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.204999999999889 y[1] (analytic) = 22.71635371310934 y[1] (numeric) = 22.71635371310957 absolute error = 2.309263891220326e-13 relative error = 1.016564506955919e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.304999999999887 y[1] (analytic) = 22.94465686346915 y[1] (numeric) = 22.94465686346938 absolute error = 2.309263891220326e-13 relative error = 1.006449521107013e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.404999999999885 y[1] (analytic) = 23.17525449863592 y[1] (numeric) = 23.17525449863615 absolute error = 2.344791028008331e-13 relative error = 1.011764953065065e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.504999999999883 y[1] (analytic) = 23.40816967856532 y[1] (numeric) = 23.40816967856555 absolute error = 2.380318164796336e-13 relative error = 1.016874961811292e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.604999999999881 y[1] (analytic) = 23.64342569496945 y[1] (numeric) = 23.64342569496969 absolute error = 2.415845301584341e-13 relative error = 1.021783109077275e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.704999999999878 y[1] (analytic) = 23.881046073646 y[1] (numeric) = 23.88104607364625 absolute error = 2.451372438372346e-13 relative error = 1.026492906053041e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.804999999999876 y[1] (analytic) = 24.12105457683085 y[1] (numeric) = 24.1210545768311 absolute error = 2.522426711948356e-13 relative error = 1.045736497097949e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 6.904999999999874 y[1] (analytic) = 24.36347520557433 y[1] (numeric) = 24.36347520557458 absolute error = 2.486899575160351e-13 relative error = 1.020749114884625e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.004999999999872 y[1] (analytic) = 24.60833220214134 y[1] (numeric) = 24.60833220214159 absolute error = 2.522426711948356e-13 relative error = 1.025029527083864e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.10499999999987 y[1] (analytic) = 24.85565005243556 y[1] (numeric) = 24.85565005243583 absolute error = 2.664535259100376e-13 relative error = 1.072003851631023e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.204999999999868 y[1] (analytic) = 25.10545348844815 y[1] (numeric) = 25.10545348844841 absolute error = 2.664535259100376e-13 relative error = 1.061337235085762e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.304999999999866 y[1] (analytic) = 25.35776749073086 y[1] (numeric) = 25.35776749073112 absolute error = 2.664535259100376e-13 relative error = 1.05077675314846e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.404999999999863 y[1] (analytic) = 25.61261729089418 y[1] (numeric) = 25.61261729089445 absolute error = 2.700062395888381e-13 relative error = 1.054192301092286e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.504999999999861 y[1] (analytic) = 25.87002837413051 y[1] (numeric) = 25.87002837413078 absolute error = 2.700062395888381e-13 relative error = 1.043702912436071e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.604999999999859 y[1] (analytic) = 26.13002648176269 y[1] (numeric) = 26.13002648176297 absolute error = 2.806643806252396e-13 relative error = 1.074106759214836e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.704999999999857 y[1] (analytic) = 26.39263761381813 y[1] (numeric) = 26.39263761381843 absolute error = 2.948752353404416e-13 relative error = 1.117263229447203e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.804999999999855 y[1] (analytic) = 26.6578880316289 y[1] (numeric) = 26.6578880316292 absolute error = 2.948752353404416e-13 relative error = 1.106146274568262e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 7.904999999999853 y[1] (analytic) = 26.92580426045781 y[1] (numeric) = 26.9258042604581 absolute error = 2.948752353404416e-13 relative error = 1.095139935238569e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.004999999999852 y[1] (analytic) = 27.19641309215101 y[1] (numeric) = 27.19641309215131 absolute error = 3.019806626980426e-13 relative error = 1.110369450834659e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.104999999999867 y[1] (analytic) = 27.46974158781723 y[1] (numeric) = 27.46974158781749 absolute error = 2.664535259100376e-13 relative error = 9.699891972344187e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.204999999999883 y[1] (analytic) = 27.74581708053375 y[1] (numeric) = 27.74581708053398 absolute error = 2.238209617644316e-13 relative error = 8.066836205067558e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.304999999999898 y[1] (analytic) = 28.02466717807993 y[1] (numeric) = 28.0246671780801 absolute error = 1.740829702612245e-13 relative error = 6.211776545106917e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.404999999999914 y[1] (analytic) = 28.30631976569788 y[1] (numeric) = 28.30631976569801 absolute error = 1.35003119794419e-13 relative error = 4.769363199168629e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.50499999999993 y[1] (analytic) = 28.59080300888107 y[1] (numeric) = 28.59080300888116 absolute error = 8.881784197001252e-14 relative error = 3.106517922648878e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.604999999999945 y[1] (analytic) = 28.87814535619091 y[1] (numeric) = 28.87814535619096 absolute error = 4.973799150320701e-14 relative error = 1.722340229600104e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.704999999999961 y[1] (analytic) = 29.16837554210156 y[1] (numeric) = 29.16837554210156 absolute error = 3.552713678800501e-15 relative error = 1.218001898553631e-14 % Correct digits = 15 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.804999999999977 y[1] (analytic) = 29.46152258987349 y[1] (numeric) = 29.46152258987344 absolute error = 4.618527782440651e-14 relative error = 1.56764735031995e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 8.899999999999991 y[1] (analytic) = 29.74274072563063 y[1] (numeric) = 29.74274072563053 absolute error = 9.592326932761353e-14 relative error = 3.225098527821688e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.000000000000007 y[1] (analytic) = 30.04166023946435 y[1] (numeric) = 30.04166023946421 absolute error = 1.385558334732195e-13 relative error = 4.61212304409212e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.100000000000023 y[1] (analytic) = 30.34358394435682 y[1] (numeric) = 30.34358394435664 absolute error = 1.811883976188255e-13 relative error = 5.971226007813827e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.200000000000038 y[1] (analytic) = 30.64854203293014 y[1] (numeric) = 30.64854203292991 absolute error = 2.309263891220326e-13 relative error = 7.534661481577659e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.300000000000054 y[1] (analytic) = 30.95656500124728 y[1] (numeric) = 30.956565001247 absolute error = 2.806643806252396e-13 relative error = 9.066392883510532e-13 % Correct digits = 14 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.40000000000007 y[1] (analytic) = 31.26768365186177 y[1] (numeric) = 31.26768365186146 absolute error = 3.161915174132446e-13 relative error = 1.01124061805716e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.500000000000085 y[1] (analytic) = 31.58192909689795 y[1] (numeric) = 31.58192909689757 absolute error = 3.730349362740526e-13 relative error = 1.18116577087336e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.600000000000101 y[1] (analytic) = 31.89933276116217 y[1] (numeric) = 31.89933276116175 absolute error = 4.227729277772596e-13 relative error = 1.325334705094493e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.700000000000117 y[1] (analytic) = 32.21992638528538 y[1] (numeric) = 32.21992638528491 absolute error = 4.689582056016661e-13 relative error = 1.455491238539378e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.800000000000132 y[1] (analytic) = 32.54374202889714 y[1] (numeric) = 32.54374202889661 absolute error = 5.258016244624741e-13 relative error = 1.615676599192526e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 9.900000000000148 y[1] (analytic) = 32.87081207383167 y[1] (numeric) = 32.87081207383108 absolute error = 5.897504706808832e-13 relative error = 1.794146336744693e-12 % Correct digits = 13 h = 0.005 TOP MAIN SOLVE Loop NO POLE x[1] = 10.00000000000016 y[1] (analytic) = 33.20116922736602 y[1] (numeric) = 33.20116922736538 absolute error = 6.394884621840902e-13 relative error = 1.9261022339448e-12 % Correct digits = 13 h = 0.005 Finished! diff ( y , x , 1 ) = exp (0.1 * x + 0.2 ) ; Iterations = 1800 Total Elapsed Time = 37 Seconds Elapsed Time(since restart) = 37 Seconds Time to Timeout = 9 Minutes 23 Seconds Percent Done = 100.1 %