##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 5.0; glob_h = 0.00001; 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); glob_max_iter = 20; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y2 (double x) { return(1.0 + cos(x)); } double exact_soln_y2p (double x) { return( -sin(x)); } double exact_soln_y2pp (double x) { return( -cos(x)); } double exact_soln_y1 (double x) { return( 1.0 - sin(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y2[1] (analytic) = 1.995004165278026 y2[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % h = 1e-05 y1[1] (analytic) = 0.9001665833531718 y1[1] (numeric) = 0.9001665833531718 absolute error = 0 relative error = 0 % h = 1e-05 x[1] = 0.1 y2[1] (analytic) = 1.995004165278026 y2[1] (numeric) = 1.995004165278026 absolute error = 0 relative error = 0 % h = 1e-05 y1[1] (analytic) = 0.9001665833531718 y1[1] (numeric) = 0.9001665833531718 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10001 y2[1] (analytic) = 1.995003166894109 y2[1] (numeric) = 1.995003166894109 absolute error = 2.220446049250313e-16 relative error = 1.113003771671792e-14 % h = 1e-05 y1[1] (analytic) = 0.9001566333165109 y1[1] (numeric) = 0.9001566333165109 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10002 y2[1] (analytic) = 1.995002168410692 y2[1] (numeric) = 1.995002168410691 absolute error = 1.554312234475219e-15 relative error = 7.791030301052022e-14 % h = 1e-05 y1[1] (analytic) = 0.9001466832898343 y1[1] (numeric) = 0.9001466832898343 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10003 y2[1] (analytic) = 1.995001169827775 y2[1] (numeric) = 1.99500116982777 absolute error = 4.884981308350689e-15 relative error = 2.448610748820965e-13 % h = 1e-05 y1[1] (analytic) = 0.900136733273143 y1[1] (numeric) = 0.900136733273143 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10004 y2[1] (analytic) = 1.995000171145358 y2[1] (numeric) = 1.995000171145346 absolute error = 1.154631945610163e-14 relative error = 5.787628303546824e-13 % h = 1e-05 y1[1] (analytic) = 0.9001267832664381 y1[1] (numeric) = 0.9001267832664381 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10005 y2[1] (analytic) = 1.99499917236344 y2[1] (numeric) = 1.994999172363418 absolute error = 2.287059430727822e-14 relative error = 1.146396180214142e-12 % h = 1e-05 y1[1] (analytic) = 0.9001168332697205 y1[1] (numeric) = 0.9001168332697205 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10006 y2[1] (analytic) = 1.994998173482023 y2[1] (numeric) = 1.994998173481984 absolute error = 3.930189507173054e-14 relative error = 1.970021606743325e-12 % h = 1e-05 y1[1] (analytic) = 0.9001068832829912 y1[1] (numeric) = 0.9001068832829912 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10007 y2[1] (analytic) = 1.994997174501106 y2[1] (numeric) = 1.994997174501044 absolute error = 6.23945339839338e-14 relative error = 3.127549992622769e-12 % h = 1e-05 y1[1] (analytic) = 0.9000969333062512 y1[1] (numeric) = 0.9000969333062512 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10008 y2[1] (analytic) = 1.994996175420689 y2[1] (numeric) = 1.994996175420596 absolute error = 9.348077867343818e-14 relative error = 4.685762299956574e-12 % h = 1e-05 y1[1] (analytic) = 0.9000869833395014 y1[1] (numeric) = 0.9000869833395014 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10009 y2[1] (analytic) = 1.994995176240773 y2[1] (numeric) = 1.99499517624064 absolute error = 1.327826737451687e-13 relative error = 6.655789213253887e-12 % h = 1e-05 y1[1] (analytic) = 0.900077033382743 y1[1] (numeric) = 0.900077033382743 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001 y2[1] (analytic) = 1.994994176961357 y2[1] (numeric) = 1.994994176961175 absolute error = 1.822986206434507e-13 relative error = 9.13780214241607e-12 % h = 1e-05 y1[1] (analytic) = 0.900067083435977 y1[1] (numeric) = 0.900067083435977 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10011 y2[1] (analytic) = 1.994993177582442 y2[1] (numeric) = 1.994993177582199 absolute error = 2.429167977879843e-13 relative error = 1.217632223095389e-11 % h = 1e-05 y1[1] (analytic) = 0.9000571334992042 y1[1] (numeric) = 0.9000571334992041 absolute error = 1.110223024625157e-16 relative error = 1.233502833657768e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10012 y2[1] (analytic) = 1.994992178104027 y2[1] (numeric) = 1.994992178103712 absolute error = 3.153033389935445e-13 relative error = 1.580474061272752e-11 % h = 1e-05 y1[1] (analytic) = 0.9000471835724256 y1[1] (numeric) = 0.9000471835724256 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10013 y2[1] (analytic) = 1.994991178526113 y2[1] (numeric) = 1.994991178525712 absolute error = 4.007905118896815e-13 relative error = 2.008983880248448e-11 % h = 1e-05 y1[1] (analytic) = 0.9000372336556425 y1[1] (numeric) = 0.9000372336556424 absolute error = 1.110223024625157e-16 relative error = 1.233530106433277e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.10014 y2[1] (analytic) = 1.9949901788487 y2[1] (numeric) = 1.994990178848199 absolute error = 5.007105841059456e-13 relative error = 2.509839844900407e-11 % h = 1e-05 y1[1] (analytic) = 0.9000272837488555 y1[1] (numeric) = 0.9000272837488554 absolute error = 1.110223024625157e-16 relative error = 1.233543743252737e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001499999999999 y2[1] (analytic) = 1.994989179071788 y2[1] (numeric) = 1.994989179071172 absolute error = 6.157296894571118e-13 relative error = 3.086381098786679e-11 % h = 1e-05 y1[1] (analytic) = 0.9000173338520658 y1[1] (numeric) = 0.9000173338520657 absolute error = 1.110223024625157e-16 relative error = 1.233557380360012e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001599999999999 y2[1] (analytic) = 1.994988179195377 y2[1] (numeric) = 1.99498817919463 absolute error = 7.474021401776554e-13 relative error = 3.746398840714431e-11 % h = 1e-05 y1[1] (analytic) = 0.9000073839652744 y1[1] (numeric) = 0.9000073839652744 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001699999999999 y2[1] (analytic) = 1.994987179219467 y2[1] (numeric) = 1.994987179218571 absolute error = 8.963940700823514e-13 relative error = 4.493232234369861e-11 % h = 1e-05 y1[1] (analytic) = 0.8999974340884822 y1[1] (numeric) = 0.8999974340884822 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001799999999999 y2[1] (analytic) = 1.994986179144059 y2[1] (numeric) = 1.994986179142995 absolute error = 1.06403774680075e-12 relative error = 5.3335594899072e-11 % h = 1e-05 y1[1] (analytic) = 0.8999874842216904 y1[1] (numeric) = 0.8999874842216903 absolute error = 1.110223024625157e-16 relative error = 1.2335982934088e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001899999999999 y2[1] (analytic) = 1.994985178969152 y2[1] (numeric) = 1.9949851789679 absolute error = 1.251665437962401e-12 relative error = 6.274058830898993e-11 % h = 1e-05 y1[1] (analytic) = 0.8999775343648997 y1[1] (numeric) = 0.8999775343648997 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1001999999999999 y2[1] (analytic) = 1.994984178694746 y2[1] (numeric) = 1.994984178693286 absolute error = 1.459721232777156e-12 relative error = 7.316956436878634e-11 % h = 1e-05 y1[1] (analytic) = 0.8999675845181113 y1[1] (numeric) = 0.8999675845181113 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002099999999999 y2[1] (analytic) = 1.994983178320842 y2[1] (numeric) = 1.994983178319152 absolute error = 1.689981488084413e-12 relative error = 8.471156581414656e-11 % h = 1e-05 y1[1] (analytic) = 0.8999576346813262 y1[1] (numeric) = 0.8999576346813262 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002199999999999 y2[1] (analytic) = 1.99498217784744 y2[1] (numeric) = 1.994982177845497 absolute error = 1.943112337698949e-12 relative error = 9.739998478560556e-11 % h = 1e-05 y1[1] (analytic) = 0.8999476848545452 y1[1] (numeric) = 0.8999476848545452 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002299999999999 y2[1] (analytic) = 1.994981177274539 y2[1] (numeric) = 1.994981177272319 absolute error = 2.220224004645388e-12 relative error = 1.112904738118164e-10 % h = 1e-05 y1[1] (analytic) = 0.8999377350377695 y1[1] (numeric) = 0.8999377350377695 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002399999999999 y2[1] (analytic) = 1.994980176602141 y2[1] (numeric) = 1.994980176599618 absolute error = 2.522648756553281e-12 relative error = 1.264498156994155e-10 % h = 1e-05 y1[1] (analytic) = 0.899927785231 y1[1] (numeric) = 0.899927785231 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002499999999999 y2[1] (analytic) = 1.994979175830244 y2[1] (numeric) = 1.994979175827393 absolute error = 2.851274771842327e-12 relative error = 1.429225330462771e-10 % h = 1e-05 y1[1] (analytic) = 0.8999178354342379 y1[1] (numeric) = 0.8999178354342379 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002599999999999 y2[1] (analytic) = 1.99497817495885 y2[1] (numeric) = 1.994978174955642 absolute error = 3.207434318142077e-12 relative error = 1.607754088942972e-10 % h = 1e-05 y1[1] (analytic) = 0.8999078856474838 y1[1] (numeric) = 0.8999078856474839 absolute error = 1.110223024625157e-16 relative error = 1.233707407537996e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002699999999999 y2[1] (analytic) = 1.994977173987957 y2[1] (numeric) = 1.994977173984365 absolute error = 3.591793529267306e-12 relative error = 1.800418358716013e-10 % h = 1e-05 y1[1] (analytic) = 0.899897935870739 y1[1] (numeric) = 0.8998979358707392 absolute error = 2.220446049250313e-16 relative error = 2.467442096199293e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002799999999999 y2[1] (analytic) = 1.994976172917567 y2[1] (numeric) = 1.994976172913561 absolute error = 4.00590671745249e-12 relative error = 2.00799727427021e-10 % h = 1e-05 y1[1] (analytic) = 0.8998879861040044 y1[1] (numeric) = 0.8998879861040047 absolute error = 2.220446049250313e-16 relative error = 2.467469377898424e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002899999999999 y2[1] (analytic) = 1.994975171747679 y2[1] (numeric) = 1.994975171743228 absolute error = 4.450662061117328e-12 relative error = 2.230936065845054e-10 % h = 1e-05 y1[1] (analytic) = 0.899878036347281 y1[1] (numeric) = 0.8998780363472813 absolute error = 2.220446049250313e-16 relative error = 2.4674966601734e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1002999999999999 y2[1] (analytic) = 1.994974170478294 y2[1] (numeric) = 1.994974170473367 absolute error = 4.927169783286445e-12 relative error = 2.46979126657322e-10 % h = 1e-05 y1[1] (analytic) = 0.8998680866005698 y1[1] (numeric) = 0.89986808660057 absolute error = 2.220446049250313e-16 relative error = 2.467523943024236e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003099999999999 y2[1] (analytic) = 1.994973169109411 y2[1] (numeric) = 1.994973169103975 absolute error = 5.436540106984467e-12 relative error = 2.725119410709382e-10 % h = 1e-05 y1[1] (analytic) = 0.8998581368638717 y1[1] (numeric) = 0.8998581368638721 absolute error = 3.33066907387547e-16 relative error = 3.701326839676424e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003199999999999 y2[1] (analytic) = 1.994972167641031 y2[1] (numeric) = 1.994972167635051 absolute error = 5.979883255236018e-12 relative error = 2.997477033630485e-10 % h = 1e-05 y1[1] (analytic) = 0.8998481871371879 y1[1] (numeric) = 0.8998481871371883 absolute error = 3.33066907387547e-16 relative error = 3.701367765680331e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003299999999999 y2[1] (analytic) = 1.994971166073154 y2[1] (numeric) = 1.994971166066596 absolute error = 6.5580874064608e-12 relative error = 3.287309369673527e-10 % h = 1e-05 y1[1] (analytic) = 0.8998382374205193 y1[1] (numeric) = 0.8998382374205197 absolute error = 4.440892098500626e-16 relative error = 4.935211590064131e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003399999999999 y2[1] (analytic) = 1.99497016440578 y2[1] (numeric) = 1.994970164398607 absolute error = 7.172484828288361e-12 relative error = 3.595284258511582e-10 % h = 1e-05 y1[1] (analytic) = 0.8998282877138668 y1[1] (numeric) = 0.8998282877138674 absolute error = 5.551115123125783e-16 relative error = 6.169082700466249e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003499999999999 y2[1] (analytic) = 1.994969162638908 y2[1] (numeric) = 1.994969162631084 absolute error = 7.824185743743328e-12 relative error = 3.921958238890089e-10 % h = 1e-05 y1[1] (analytic) = 0.8998183380172315 y1[1] (numeric) = 0.8998183380172321 absolute error = 5.551115123125783e-16 relative error = 6.169150914792179e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003599999999999 y2[1] (analytic) = 1.99496816077254 y2[1] (numeric) = 1.994968160764026 absolute error = 8.5140783312454e-12 relative error = 4.267776548347705e-10 % h = 1e-05 y1[1] (analytic) = 0.8998083883306144 y1[1] (numeric) = 0.899808388330615 absolute error = 6.661338147750939e-16 relative error = 7.403062956669592e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003699999999999 y2[1] (analytic) = 1.994967158806675 y2[1] (numeric) = 1.994967158797431 absolute error = 9.243494858424128e-12 relative error = 4.633407030095317e-10 % h = 1e-05 y1[1] (analytic) = 0.8997984386540164 y1[1] (numeric) = 0.8997984386540172 absolute error = 7.771561172376096e-16 relative error = 8.637002286869223e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003799999999999 y2[1] (analytic) = 1.994966156741313 y2[1] (numeric) = 1.9949661567313 absolute error = 1.001332350369921e-11 relative error = 5.019294923807391e-10 % h = 1e-05 y1[1] (analytic) = 0.8997884889874386 y1[1] (numeric) = 0.8997884889874395 absolute error = 8.881784197001252e-16 relative error = 9.870968906255085e-14 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003899999999999 y2[1] (analytic) = 1.994965154576455 y2[1] (numeric) = 1.99496515456563 absolute error = 1.08248965347002e-11 relative error = 5.426108075054777e-10 % h = 1e-05 y1[1] (analytic) = 0.8997785393308819 y1[1] (numeric) = 0.8997785393308829 absolute error = 9.992007221626409e-16 relative error = 1.110496281569123e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1003999999999999 y2[1] (analytic) = 1.9949641523121 y2[1] (numeric) = 1.99496415230042 absolute error = 1.167932417445172e-11 relative error = 5.854403028202666e-10 % h = 1e-05 y1[1] (analytic) = 0.8997685896843474 y1[1] (numeric) = 0.8997685896843485 absolute error = 1.110223024625157e-15 relative error = 1.233898401604172e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004099999999998 y2[1] (analytic) = 1.994963149948249 y2[1] (numeric) = 1.994963149935671 absolute error = 1.257749460137347e-11 relative error = 6.304625026131308e-10 % h = 1e-05 y1[1] (analytic) = 0.899758640047836 y1[1] (numeric) = 0.8997586400478372 absolute error = 1.221245327087672e-15 relative error = 1.357303250817068e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004199999999998 y2[1] (analytic) = 1.994962147484901 y2[1] (numeric) = 1.99496214747138 absolute error = 1.352051803849008e-11 relative error = 6.777330615287984e-10 % h = 1e-05 y1[1] (analytic) = 0.8997486904213488 y1[1] (numeric) = 0.8997486904213501 absolute error = 1.332267629550188e-15 relative error = 1.480710829294225e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004299999999998 y2[1] (analytic) = 1.994961144922057 y2[1] (numeric) = 1.994961144907548 absolute error = 1.450928266422125e-11 relative error = 7.272965040523696e-10 % h = 1e-05 y1[1] (analytic) = 0.8997387408048867 y1[1] (numeric) = 0.8997387408048881 absolute error = 1.443289932012704e-15 relative error = 1.604121137122058e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004399999999998 y2[1] (analytic) = 1.994960142259717 y2[1] (numeric) = 1.994960142244171 absolute error = 1.554556483540637e-11 relative error = 7.792418758701467e-10 % h = 1e-05 y1[1] (analytic) = 0.8997287911984506 y1[1] (numeric) = 0.8997287911984523 absolute error = 1.665334536937735e-15 relative error = 1.850929472557488e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004499999999998 y2[1] (analytic) = 1.994959139497881 y2[1] (numeric) = 1.994959139481251 absolute error = 1.662980864125529e-11 relative error = 8.335914411480586e-10 % h = 1e-05 y1[1] (analytic) = 0.8997188416020417 y1[1] (numeric) = 0.8997188416020435 absolute error = 1.77635683940025e-15 relative error = 1.97434660392047e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004599999999998 y2[1] (analytic) = 1.994958136636549 y2[1] (numeric) = 1.994958136618786 absolute error = 1.776312430479265e-11 relative error = 8.904008549643478e-10 % h = 1e-05 y1[1] (analytic) = 0.8997088920156611 y1[1] (numeric) = 0.899708892015663 absolute error = 1.887379141862766e-15 relative error = 2.097766464922204e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004699999999998 y2[1] (analytic) = 1.994957133675721 y2[1] (numeric) = 1.994957133656774 absolute error = 1.894706613825292e-11 relative error = 9.497480330989785e-10 % h = 1e-05 y1[1] (analytic) = 0.8996989424393094 y1[1] (numeric) = 0.8996989424393115 absolute error = 2.109423746787797e-15 relative error = 2.344588447629627e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004799999999998 y2[1] (analytic) = 1.994956130615398 y2[1] (numeric) = 1.994956130595215 absolute error = 2.018230027545087e-11 relative error = 1.011666370288809e-09 % h = 1e-05 y1[1] (analytic) = 0.8996889928729879 y1[1] (numeric) = 0.8996889928729901 absolute error = 2.220446049250313e-15 relative error = 2.468015132829107e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004899999999998 y2[1] (analytic) = 1.994955127455579 y2[1] (numeric) = 1.994955127434109 absolute error = 2.147015898401605e-11 relative error = 1.076222652255827e-09 % h = 1e-05 y1[1] (analytic) = 0.8996790433166975 y1[1] (numeric) = 0.8996790433166999 absolute error = 2.442490654175344e-15 relative error = 2.71484666928666e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1004999999999998 y2[1] (analytic) = 1.994954124196264 y2[1] (numeric) = 1.994954124173453 absolute error = 2.281153044236817e-11 relative error = 1.143461404234475e-09 % h = 1e-05 y1[1] (analytic) = 0.8996690937704391 y1[1] (numeric) = 0.8996690937704418 absolute error = 2.664535259100376e-15 relative error = 2.961683665194641e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005099999999998 y2[1] (analytic) = 1.994953120837454 y2[1] (numeric) = 1.994953120813246 absolute error = 2.420796896274169e-11 relative error = 1.213460542500343e-09 % h = 1e-05 y1[1] (analytic) = 0.8996591442342139 y1[1] (numeric) = 0.8996591442342168 absolute error = 2.886579864025407e-15 relative error = 3.208526120725924e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005199999999998 y2[1] (analytic) = 1.994952117379149 y2[1] (numeric) = 1.994952117353489 absolute error = 2.566014067895139e-11 relative error = 1.286253462196485e-09 % h = 1e-05 y1[1] (analytic) = 0.8996491947080227 y1[1] (numeric) = 0.8996491947080258 absolute error = 3.108624468950438e-15 relative error = 3.455374036053385e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005299999999998 y2[1] (analytic) = 1.994951113821348 y2[1] (numeric) = 1.994951113794179 absolute error = 2.716915581402191e-11 relative error = 1.361895819190232e-09 % h = 1e-05 y1[1] (analytic) = 0.8996392451918666 y1[1] (numeric) = 0.89963924519187 absolute error = 3.441691376337985e-15 relative error = 3.825634991728239e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005399999999998 y2[1] (analytic) = 1.994950110164053 y2[1] (numeric) = 1.994950110135316 absolute error = 2.873634663558278e-11 relative error = 1.440454399795475e-09 % h = 1e-05 y1[1] (analytic) = 0.8996292956857466 y1[1] (numeric) = 0.8996292956857502 absolute error = 3.663735981263017e-15 relative error = 4.07249519200052e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005499999999998 y2[1] (analytic) = 1.994949106407262 y2[1] (numeric) = 1.9949491063769 absolute error = 3.036260132205371e-11 relative error = 1.521973729782723e-09 % h = 1e-05 y1[1] (analytic) = 0.8996193461896637 y1[1] (numeric) = 0.8996193461896675 absolute error = 3.885780586188048e-15 relative error = 4.31936085261646e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005599999999998 y2[1] (analytic) = 1.994948102550977 y2[1] (numeric) = 1.994948102518928 absolute error = 3.204903009645932e-11 relative error = 1.606509465357903e-09 % h = 1e-05 y1[1] (analytic) = 0.8996093967036188 y1[1] (numeric) = 0.8996093967036229 absolute error = 4.107825191113079e-15 relative error = 4.566231973748963e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005699999999998 y2[1] (analytic) = 1.994947098595196 y2[1] (numeric) = 1.994947098561399 absolute error = 3.379696522642917e-11 relative error = 1.694128393190393e-09 % h = 1e-05 y1[1] (analytic) = 0.899599447227613 y1[1] (numeric) = 0.8995994472276174 absolute error = 4.440892098500626e-15 relative error = 4.936521595457372e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005799999999998 y2[1] (analytic) = 1.994946094539921 y2[1] (numeric) = 1.994946094504314 absolute error = 3.560707284577802e-11 relative error = 1.784863909016539e-09 % h = 1e-05 y1[1] (analytic) = 0.8995894977616472 y1[1] (numeric) = 0.899589497761652 absolute error = 4.773959005888173e-15 relative error = 5.30681940792629e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005899999999998 y2[1] (analytic) = 1.994945090385152 y2[1] (numeric) = 1.994945090347671 absolute error = 3.748090726674036e-11 relative error = 1.878793930087778e-09 % h = 1e-05 y1[1] (analytic) = 0.8995795483057225 y1[1] (numeric) = 0.8995795483057276 absolute error = 5.10702591327572e-15 relative error = 5.677125411415084e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1005999999999998 y2[1] (analytic) = 1.994944086130887 y2[1] (numeric) = 1.994944086091468 absolute error = 3.941935666773588e-11 relative error = 1.975962982711366e-09 % h = 1e-05 y1[1] (analytic) = 0.8995695988598399 y1[1] (numeric) = 0.8995695988598453 absolute error = 5.440092820663267e-15 relative error = 6.047439606183131e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006099999999998 y2[1] (analytic) = 1.994943081777129 y2[1] (numeric) = 1.994943081735705 absolute error = 4.142330922718429e-11 relative error = 2.076415593285184e-09 % h = 1e-05 y1[1] (analytic) = 0.8995596494240002 y1[1] (numeric) = 0.8995596494240061 absolute error = 5.88418203051333e-15 relative error = 6.541180492345392e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006199999999998 y2[1] (analytic) = 1.994942077323876 y2[1] (numeric) = 1.994942077280382 absolute error = 4.349409721271513e-11 relative error = 2.180218549054842e-09 % h = 1e-05 y1[1] (analytic) = 0.8995496999982047 y1[1] (numeric) = 0.899549699998211 absolute error = 6.328271240363392e-15 relative error = 7.034932300434342e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006299999999998 y2[1] (analytic) = 1.994941072771129 y2[1] (numeric) = 1.994941072725496 absolute error = 4.563305289195796e-11 relative error = 2.287438637401459e-09 % h = 1e-05 y1[1] (analytic) = 0.8995397505824541 y1[1] (numeric) = 0.8995397505824608 absolute error = 6.772360450213455e-15 relative error = 7.528695030795845e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006399999999998 y2[1] (analytic) = 1.994940068118888 y2[1] (numeric) = 1.994940068071047 absolute error = 4.784084239872755e-11 relative error = 2.398109254672431e-09 % h = 1e-05 y1[1] (analytic) = 0.8995298011767496 y1[1] (numeric) = 0.8995298011767567 absolute error = 7.105427357601002e-15 relative error = 7.899046088640756e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006499999999998 y2[1] (analytic) = 1.994939063367152 y2[1] (numeric) = 1.994939063317034 absolute error = 5.011857595604852e-11 relative error = 2.512286058074176e-09 % h = 1e-05 y1[1] (analytic) = 0.8995198517810921 y1[1] (numeric) = 0.8995198517810997 absolute error = 7.66053886991358e-15 relative error = 8.516253259720004e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006599999999997 y2[1] (analytic) = 1.994938058515923 y2[1] (numeric) = 1.994938058463456 absolute error = 5.246758583155042e-11 relative error = 2.630035835327247e-09 % h = 1e-05 y1[1] (analytic) = 0.8995099023954826 y1[1] (numeric) = 0.8995099023954908 absolute error = 8.215650382226158e-15 relative error = 9.13347408443985e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006699999999997 y2[1] (analytic) = 1.9949370535652 y2[1] (numeric) = 1.994937053510311 absolute error = 5.488898224825789e-11 relative error = 2.751414243881253e-09 % h = 1e-05 y1[1] (analytic) = 0.8994999530199221 y1[1] (numeric) = 0.8994999530199308 absolute error = 8.659739592076221e-15 relative error = 9.627281872558836e-13 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006799999999997 y2[1] (analytic) = 1.994936048514984 y2[1] (numeric) = 1.9949360484576 absolute error = 5.738365338459062e-11 relative error = 2.87646581088685e-09 % h = 1e-05 y1[1] (analytic) = 0.8994900036544116 y1[1] (numeric) = 0.8994900036544209 absolute error = 9.325873406851315e-15 relative error = 1.036795669653085e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006899999999997 y2[1] (analytic) = 1.994935043365273 y2[1] (numeric) = 1.994935043305321 absolute error = 5.995270946357323e-11 relative error = 3.005246194003313e-09 % h = 1e-05 y1[1] (analytic) = 0.8994800542989522 y1[1] (numeric) = 0.8994800542989619 absolute error = 9.769962616701378e-15 relative error = 1.086178906358964e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1006999999999997 y2[1] (analytic) = 1.99493403811607 y2[1] (numeric) = 1.994934038053472 absolute error = 6.259748275283528e-11 relative error = 3.137822181426593e-09 % h = 1e-05 y1[1] (analytic) = 0.8994701049535446 y1[1] (numeric) = 0.8994701049535551 absolute error = 1.043609643147647e-14 relative error = 1.160249392837294e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007099999999997 y2[1] (analytic) = 1.994933032767372 y2[1] (numeric) = 1.994933032702054 absolute error = 6.531886143079646e-11 relative error = 3.274238300630377e-09 % h = 1e-05 y1[1] (analytic) = 0.8994601556181901 y1[1] (numeric) = 0.8994601556182013 absolute error = 1.110223024625157e-14 relative error = 1.234321517957748e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007199999999997 y2[1] (analytic) = 1.994932027319182 y2[1] (numeric) = 1.994932027251064 absolute error = 6.81179557204814e-11 relative error = 3.414550209613872e-09 % h = 1e-05 y1[1] (analytic) = 0.8994502062928896 y1[1] (numeric) = 0.8994502062929014 absolute error = 1.176836406102666e-14 relative error = 1.308395281772219e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007299999999997 y2[1] (analytic) = 1.994931021771498 y2[1] (numeric) = 1.994931021700502 absolute error = 7.099609788951966e-11 relative error = 3.558824696929879e-09 % h = 1e-05 y1[1] (analytic) = 0.8994402569776441 y1[1] (numeric) = 0.8994402569776565 absolute error = 1.243449787580175e-14 relative error = 1.382470684332602e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007399999999997 y2[1] (analytic) = 1.994930016124322 y2[1] (numeric) = 1.994930016050368 absolute error = 7.3953954071726e-11 relative error = 3.707095159929524e-09 % h = 1e-05 y1[1] (analytic) = 0.8994303076724546 y1[1] (numeric) = 0.8994303076724677 absolute error = 1.310063169057685e-14 relative error = 1.456547725690794e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007499999999997 y2[1] (analytic) = 1.994929010377652 y2[1] (numeric) = 1.994929010300659 absolute error = 7.699285653472998e-11 relative error = 3.859428387386816e-09 % h = 1e-05 y1[1] (analytic) = 0.8994203583773219 y1[1] (numeric) = 0.8994203583773358 absolute error = 1.387778780781446e-14 relative error = 1.542970167236585e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007599999999997 y2[1] (analytic) = 1.994928004531489 y2[1] (numeric) = 1.994928004451375 absolute error = 8.011413754616115e-11 relative error = 4.015891168211659e-09 % h = 1e-05 y1[1] (analytic) = 0.8994104090922473 y1[1] (numeric) = 0.899410409092262 absolute error = 1.465494392505207e-14 relative error = 1.629394520777555e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007699999999997 y2[1] (analytic) = 1.994926998585834 y2[1] (numeric) = 1.994926998502515 absolute error = 8.331846323983427e-11 relative error = 4.176516900061865e-09 % h = 1e-05 y1[1] (analytic) = 0.8994004598172317 y1[1] (numeric) = 0.8994004598172471 absolute error = 1.543210004228968e-14 relative error = 1.715820786374253e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007799999999997 y2[1] (analytic) = 1.994925992540685 y2[1] (numeric) = 1.994925992454079 absolute error = 8.660694383877399e-11 relative error = 4.341361241600429e-09 % h = 1e-05 y1[1] (analytic) = 0.8993905105522759 y1[1] (numeric) = 0.8993905105522922 absolute error = 1.63202784619898e-14 relative error = 1.814593135074134e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007899999999997 y2[1] (analytic) = 1.994924986396045 y2[1] (numeric) = 1.994924986306064 absolute error = 8.998113365521476e-11 relative error = 4.510502112551672e-09 % h = 1e-05 y1[1] (analytic) = 0.8993805612973812 y1[1] (numeric) = 0.8993805612973984 absolute error = 1.720845688168993e-14 relative error = 1.913367669061721e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1007999999999997 y2[1] (analytic) = 1.994923980151912 y2[1] (numeric) = 1.99492398005847 absolute error = 9.34419208675763e-11 relative error = 4.683984041359851e-09 % h = 1e-05 y1[1] (analytic) = 0.8993706120525484 y1[1] (numeric) = 0.8993706120525665 absolute error = 1.809663530139005e-14 relative error = 2.012144388406222e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008099999999997 y2[1] (analytic) = 1.994922973808286 y2[1] (numeric) = 1.994922973711296 absolute error = 9.698997160967338e-11 relative error = 4.861840426075228e-09 % h = 1e-05 y1[1] (analytic) = 0.8993606628177785 y1[1] (numeric) = 0.8993606628177976 absolute error = 1.909583602355269e-14 relative error = 2.123267873838701e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008199999999997 y2[1] (analytic) = 1.994921967365168 y2[1] (numeric) = 1.994921967264541 absolute error = 1.006268401937405e-10 relative error = 5.044149186779738e-09 % h = 1e-05 y1[1] (analytic) = 0.8993507135930725 y1[1] (numeric) = 0.8993507135930926 absolute error = 2.009503674571533e-14 relative error = 2.234393817894684e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008299999999997 y2[1] (analytic) = 1.994920960822558 y2[1] (numeric) = 1.994920960718204 absolute error = 1.043536368428022e-10 relative error = 5.230965982721164e-09 % h = 1e-05 y1[1] (analytic) = 0.8993407643784316 y1[1] (numeric) = 0.8993407643784526 absolute error = 2.098321516541546e-14 relative error = 2.33317736685913e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008399999999997 y2[1] (analytic) = 1.994919954180456 y2[1] (numeric) = 1.994919954072284 absolute error = 1.081714717798832e-10 relative error = 5.422346473260964e-09 % h = 1e-05 y1[1] (analytic) = 0.8993308151738564 y1[1] (numeric) = 0.8993308151738785 absolute error = 2.209343819004062e-14 relative error = 2.456653082188623e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008499999999997 y2[1] (analytic) = 1.994918947438861 y2[1] (numeric) = 1.99491894732678 absolute error = 1.120810111387982e-10 relative error = 5.618324056859116e-09 % h = 1e-05 y1[1] (analytic) = 0.8993208659793482 y1[1] (numeric) = 0.8993208659793714 absolute error = 2.320366121466577e-14 relative error = 2.58013152951781e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008599999999997 y2[1] (analytic) = 1.994917940597775 y2[1] (numeric) = 1.994917940481691 absolute error = 1.160835871871768e-10 relative error = 5.818965523584017e-09 % h = 1e-05 y1[1] (analytic) = 0.899310916794908 y1[1] (numeric) = 0.8993109167949324 absolute error = 2.431388423929093e-14 relative error = 2.703612708933213e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008699999999997 y2[1] (analytic) = 1.994916933657197 y2[1] (numeric) = 1.994916933537016 absolute error = 1.201807542372535e-10 relative error = 6.024348794159122e-09 % h = 1e-05 y1[1] (analytic) = 0.8993009676205367 y1[1] (numeric) = 0.8993009676205622 absolute error = 2.55351295663786e-14 relative error = 2.839442020610973e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008799999999997 y2[1] (analytic) = 1.994915926617128 y2[1] (numeric) = 1.994915926492755 absolute error = 1.243729563782381e-10 relative error = 6.23449613684438e-09 % h = 1e-05 y1[1] (analytic) = 0.8992910184562352 y1[1] (numeric) = 0.899291018456262 absolute error = 2.686739719592879e-14 relative error = 2.987619874381778e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008899999999997 y2[1] (analytic) = 1.994914919477566 y2[1] (numeric) = 1.994914919348905 absolute error = 1.286615258777601e-10 relative error = 6.449474342066396e-09 % h = 1e-05 y1[1] (analytic) = 0.8992810693020047 y1[1] (numeric) = 0.8992810693020328 absolute error = 2.808864252301646e-14 relative error = 3.123455333583085e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1008999999999997 y2[1] (analytic) = 1.994913912238514 y2[1] (numeric) = 1.994913912105466 absolute error = 1.330477950034492e-10 relative error = 6.66935020038809e-09 % h = 1e-05 y1[1] (analytic) = 0.8992711201578459 y1[1] (numeric) = 0.8992711201578755 absolute error = 2.953193245502916e-14 relative error = 3.28398541808454e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009099999999997 y2[1] (analytic) = 1.99491290489997 y2[1] (numeric) = 1.994912904762437 absolute error = 1.375324298891201e-10 relative error = 6.894157110884814e-09 % h = 1e-05 y1[1] (analytic) = 0.8992611710237602 y1[1] (numeric) = 0.899261171023791 absolute error = 3.075317778211684e-14 relative error = 3.419827161791719e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009199999999996 y2[1] (analytic) = 1.994911897461934 y2[1] (numeric) = 1.994911897319817 absolute error = 1.421167628024023e-10 relative error = 7.123961864341634e-09 % h = 1e-05 y1[1] (analytic) = 0.8992512218997483 y1[1] (numeric) = 0.8992512218997805 absolute error = 3.219646771412954e-14 relative error = 3.580364077361122e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009299999999996 y2[1] (analytic) = 1.994910889924408 y2[1] (numeric) = 1.994910889777606 absolute error = 1.468019039663204e-10 relative error = 7.358820121127472e-09 % h = 1e-05 y1[1] (analytic) = 0.8992412727858113 y1[1] (numeric) = 0.8992412727858449 absolute error = 3.352873534367973e-14 relative error = 3.728558325599216e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009399999999996 y2[1] (analytic) = 1.99490988228739 y2[1] (numeric) = 1.994909882135801 absolute error = 1.515887415592942e-10 relative error = 7.598776411167035e-09 % h = 1e-05 y1[1] (analytic) = 0.8992313236819501 y1[1] (numeric) = 0.8992313236819852 absolute error = 3.508304757815495e-14 relative error = 3.901448565482078e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009499999999996 y2[1] (analytic) = 1.994908874550881 y2[1] (numeric) = 1.994908874394403 absolute error = 1.564786078489533e-10 relative error = 7.843897525604106e-09 % h = 1e-05 y1[1] (analytic) = 0.8992213745881659 y1[1] (numeric) = 0.8992213745882025 absolute error = 3.663735981263017e-14 relative error = 4.074342631080105e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009599999999996 y2[1] (analytic) = 1.994907866714882 y2[1] (numeric) = 1.994907866553409 absolute error = 1.614726130583222e-10 relative error = 8.094239125149549e-09 % h = 1e-05 y1[1] (analytic) = 0.8992114255044595 y1[1] (numeric) = 0.8992114255044977 absolute error = 3.819167204710538e-14 relative error = 4.247240522514466e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009699999999996 y2[1] (analytic) = 1.994906858779391 y2[1] (numeric) = 1.99490685861282 absolute error = 1.665718674104255e-10 relative error = 8.349856870628265e-09 % h = 1e-05 y1[1] (analytic) = 0.8992014764308319 y1[1] (numeric) = 0.8992014764308718 absolute error = 3.985700658404312e-14 relative error = 4.432489005939592e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009799999999996 y2[1] (analytic) = 1.99490585074441 y2[1] (numeric) = 1.994905850572633 absolute error = 1.71777259083683e-10 relative error = 8.610795292398554e-09 % h = 1e-05 y1[1] (analytic) = 0.8991915273672842 y1[1] (numeric) = 0.8991915273673258 absolute error = 4.152234112098085e-14 relative error = 4.61774158866386e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009899999999996 y2[1] (analytic) = 1.994904842609939 y2[1] (numeric) = 1.994904842432849 absolute error = 1.770898983011193e-10 relative error = 8.877110051496602e-09 % h = 1e-05 y1[1] (analytic) = 0.8991815783138174 y1[1] (numeric) = 0.8991815783138607 absolute error = 4.329869796038111e-14 relative error = 4.815345310073703e-12 % h = 1e-05 TOP MAIN SOLVE Loop NO POLE NO POLE x[1] = 0.1009999999999996 y2[1] (analytic) = 1.994903834375977 y2[1] (numeric) = 1.994903834193466 absolute error = 1.82510895285759e-10 relative error = 9.148856809072706e-09 % h = 1e-05 y1[1] (analytic) = 0.8991716292704324 y1[1] (numeric) = 0.8991716292704774 absolute error = 4.507505479978136e-14 relative error = 5.012953404274358e-12 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y2 , x , 3 ) = m1 * cos(x) ; diff ( y1 , x , 1 ) = m1 * y2 + 1.0; Iterations = 100 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Time to Timeout = 1 Minutes 0 Seconds Percent Done = 0.02061 %