Initializing... Initialized Initializing(2)... PI = 0.3141592653589793238462643383279486e1+/-0.313e-31 E = 0.2718281828459045235360287471352649e1+/-0.256e-30 LOG_E_10 = 0.2302585092994045684017991454684277e1+/-0.5e-30 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/div_lin_linpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) / ( 0.2 * x + 0.3 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(-1.5) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(20.0) $glob_subiter_method=3 $glob_max_iter=1000 $glob_upper_ratio_limit=c(1.11) $glob_lower_ratio_limit=c(0.99) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(0.5) * c(x) + c(0.25) * ln(c(2.0) * c(x) + c(3.0))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.50e-31 y[1] (closed_form) 0.3407877024514202157670422881518342e0+/-0.142e-29 y[1] (numeric) 0.3407877024514202157670422881518342e0+/-0.143e-29 absolute error 0.0e0+/-0.285e-29 relative error 0.0e0+/-0.8362977829008579493792754758402152e-27% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1600000000000000000000000000000853e1+/-0.553e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.5e-31 y[1] (closed_form) 0.4059438579055289264121938211619167e0+/-0.139e-29 y[1] (numeric) 0.405943857905528926411707623475384e0+/-0.15e-29 absolute error 0.4861976865327e-21+/-0.289e-29 relative error 0.1197696866362854808356406071087138e-18+/-0.711e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.170000000000000000000000000000078e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.5e-31 y[1] (closed_form) 0.4702334613655160794017408155194317e0+/-0.137e-29 y[1] (numeric) 0.4702334613655160794008482337716694e0+/-0.158e-29 absolute error 0.8925817477623e-21+/-0.295e-29 relative error 0.1898167232017734602055516287495702e-18+/-0.627e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1800000000000000000000000000000723e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e0+/-0.5e-31 y[1] (closed_form) 0.5337502666830850213520670246654127e0+/-0.135e-29 y[1] (numeric) 0.5337502666830850213508313139764015e0+/-0.166e-29 absolute error 0.12357106890112e-20+/-0.301e-29 relative error 0.2315147675129696892555445896079738e-18+/-0.563e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.190000000000000000000000000000063e1+/-0.552e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5e0+/-0.5e-31 y[1] (closed_form) 0.5965735902799726547086160607290852e0+/-0.133e-29 y[1] (numeric) 0.596573590279972654707087999072272e0+/-0.175e-29 absolute error 0.15280616568132e-20+/-0.308e-29 relative error 0.2561396752571763948552357212277201e-18+/-0.516e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.1999999999999999999999999999999974e1+/-0.553e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6e0+/-0.5e-31 y[1] (closed_form) 0.6587711313223306554749596617848737e0+/-0.131e-29 y[1] (numeric) 0.6587711313223306554731804811507828e0+/-0.189e-29 absolute error 0.17791806340909e-20+/-0.320e-29 relative error 0.2700756832679668957509138857407201e-18+/-0.485e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.209999999999999999999999999999996e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7e0+/-0.5e-31 y[1] (closed_form) 0.7204011352310538697196040915492742e0+/-0.131e-29 y[1] (numeric) 0.7204011352310538697176076200400168e0+/-0.199e-29 absolute error 0.19964715092574e-20+/-0.330e-29 relative error 0.2771333097104396932456267932062602e-18+/-0.458e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2199999999999999999999999999999949e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e0+/-0.5e-31 y[1] (closed_form) 0.7815140758737623290514983746459955e0+/-0.129e-29 y[1] (numeric) 0.7815140758737623290493126266345569e0+/-0.209e-29 absolute error 0.21857480114386e-20+/-0.338e-29 relative error 0.2796812084279929263359963724723253e-18+/-0.432e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2299999999999999999999999999999943e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9e0+/-0.5e-31 y[1] (closed_form) 0.8421539794784613112615455670177087e0+/-0.129e-29 y[1] (numeric) 0.8421539794784613112591939404267525e0+/-0.221e-29 absolute error 0.23516265909562e-20+/-0.350e-29 relative error 0.279239503494662822227098555689431e-18+/-0.415e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2399999999999999999999999999999937e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e1+/-0.5e-31 y[1] (closed_form) 0.902359478108525093650189833306539e0+/-0.127e-29 y[1] (numeric) 0.9023594781085250936476920227572313e0+/-0.233e-29 absolute error 0.24978105493077e-20+/-0.360e-29 relative error 0.2768088117768175066242536986602413e-18+/-0.398e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.249999999999999999999999999999992e1+/-0.554e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e1+/-0.5e-31 y[1] (closed_form) 0.9621646563968454177174900574493182e0+/-0.127e-29 y[1] (numeric) 0.9621646563968454177148627589414801e0+/-0.249e-29 absolute error 0.26272985078381e-20+/-0.376e-29 relative error 0.2730612157046921372169232878227743e-18+/-0.39e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2599999999999999999999999999999914e1+/-0.556e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e1+/-0.5e-31 y[1] (closed_form) 0.1021599738392557174896244094385337e1+/-0.126e-29 y[1] (numeric) 0.1021599738392557174893501554990957e1+/-0.27e-29 absolute error 0.274253939438e-20+/-0.396e-29 relative error 0.2684553735982026230262931250203713e-18+/-0.387e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2699999999999999999999999999999907e1+/-0.556e-28 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e1+/-0.5e-31 y[1] (closed_form) 0.1080691649435275887334764413283326e1+/-0.126e-29 y[1] (numeric) 0.1080691649435275887331918864211071e1+/-0.299e-29 absolute error 0.2845549072255e-20+/-0.425e-29 relative error 0.2633081391664277735913803804250579e-18+/-0.393e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2799999999999999999999999999999878e1+/-0.11e-27 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e1+/-0.5e-31 y[1] (closed_form) 0.1139464479388093413145628174783918e1+/-0.125e-29 y[1] (numeric) 0.1139464479388093413142690175694752e1+/-0.318e-29 absolute error 0.2937999089166e-20+/-0.443e-29 relative error 0.2578403401169417781889332840391886e-18+/-0.388e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2899999999999999999999999999999864e1+/-0.111e-27 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e1+/-0.5e-31 y[1] (closed_form) 0.1197939867307013750203119339595164e1+/-0.125e-29 y[1] (numeric) 0.1197939867307013750200098054684681e1+/-0.347e-29 absolute error 0.3021284910483e-20+/-0.472e-29 relative error 0.2522067253070800985681073204506705e-18+/-0.394e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2999999999999999999999999999999852e1+/-0.111e-27 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e1+/-0.5e-31 y[1] (closed_form) 0.125613732301276146783210124782903e1+/-0.124e-29 y[1] (numeric) 0.1256137323012761467829004668946008e1+/-0.387e-29 absolute error 0.3096578883022e-20+/-0.511e-29 relative error 0.2465159522204994577695851872985995e-18+/-0.406e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3099999999999999999999999999999825e1+/-0.111e-27 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17e1+/-0.5e-31 y[1] (closed_form) 0.1314074497591406543121350318516161e1+/-0.124e-29 y[1] (numeric) 0.1314074497591406543118185446802915e1+/-0.433e-29 absolute error 0.3164871713246e-20+/-0.557e-29 relative error 0.2408441621115817048343731519027103e-18+/-0.423e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3200000000000000000000000000004673e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18e1+/-0.5e-31 y[1] (closed_form) 0.1371767412258094965214107370415354e1+/-0.123e-29 y[1] (numeric) 0.1371767412258094965210880365194766e1+/-0.455e-29 absolute error 0.3227005220588e-20+/-0.578e-29 relative error 0.2352443418433420400973390766341372e-18+/-0.421e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3300000000000000000000000000004697e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19e1+/-0.5e-31 y[1] (closed_form) 0.1429230653045515253766501851526265e1+/-0.124e-29 y[1] (numeric) 0.142923065304551525376321815312426e1+/-0.492e-29 absolute error 0.3283698402005e-20+/-0.616e-29 relative error 0.2297528670412883594605036790325437e-18+/-0.431e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3400000000000000000000000000004536e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e1+/-0.5e-31 y[1] (closed_form) 0.1486477537263828326276338185860781e1+/-0.123e-29 y[1] (numeric) 0.1486477537263828326273002617536315e1+/-0.524e-29 absolute error 0.3335568324466e-20+/-0.647e-29 relative error 0.2243941291306566662804688920722706e-18+/-0.435e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3500000000000000000000000000004443e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21e1+/-0.5e-31 y[1] (closed_form) 0.154352025650550240675604884588379e1+/-0.124e-29 y[1] (numeric) 0.1543520256505502406752665698897922e1+/-0.569e-29 absolute error 0.3383146985868e-20+/-0.693e-29 relative error 0.2191838410677793144673847787741865e-18+/-0.448e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3600000000000000000000000000004026e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22e1+/-0.5e-31 y[1] (closed_form) 0.16003700000525310174418340844513e1+/-0.123e-29 y[1] (numeric) 0.160037000005253101743840718944172e1+/-0.63e-29 absolute error 0.342689500958e-20+/-0.753e-29 relative error 0.214131420200798227054110714974896e-18+/-0.47e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3700000000000000000000000000003928e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.23e1+/-0.5e-31 y[1] (closed_form) 0.1657037061823071348706375055029944e1+/-0.123e-29 y[1] (numeric) 0.165703706182307134870290784219558e1+/-0.672e-29 absolute error 0.3467212834364e-20+/-0.795e-29 relative error 0.2092417191049048818170551797113778e-18+/-0.479e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3800000000000000000000000000003889e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.24e1+/-0.5e-31 y[1] (closed_form) 0.1713530933423886513211993336315398e1+/-0.123e-29 y[1] (numeric) 0.1713530933423886513208488886405551e1+/-0.706e-29 absolute error 0.3504449909847e-20+/-0.829e-29 relative error 0.2045162909807875073365276345818319e-18+/-0.483e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3900000000000000000000000000003747e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.25e1+/-0.5e-31 y[1] (closed_form) 0.1769860385419958982062924091093617e1+/-0.123e-29 y[1] (numeric) 0.1769860385419958982059385178799954e1+/-0.733e-29 absolute error 0.3538912293663e-20+/-0.856e-29 relative error 0.199954319720155433294948321883057e-18+/-0.483e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4000000000000000000000000000003566e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.26e1+/-0.5e-31 y[1] (closed_form) 0.1826033538567551857316501009952788e1+/-0.123e-29 y[1] (numeric) 0.1826033538567551857312930140992695e1+/-0.794e-29 absolute error 0.3570868960093e-20+/-0.917e-29 relative error 0.195553306369947602663009517052044e-18+/-0.502e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4100000000000000000000000000003566e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27e1+/-0.5e-31 y[1] (closed_form) 0.1882057926462316982829267692149406e1+/-0.124e-29 y[1] (numeric) 0.188205792646231698282566713508538e1+/-0.852e-29 absolute error 0.3600557064026e-20+/-0.976e-29 relative error 0.1913095773196485204394487882833237e-18+/-0.518e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4200000000000000000000000000003443e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28e1+/-0.5e-31 y[1] (closed_form) 0.1937940550814865512218020795029898e1+/-0.123e-29 y[1] (numeric) 0.1937940550814865512214392608676553e1+/-0.9e-29 absolute error 0.3628186353345e-20+/-0.102e-28 relative error 0.1872186611616862910349393454414941e-18+/-0.526e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4300000000000000000000000000003059e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29e1+/-0.5e-31 y[1] (closed_form) 0.1993687930371040197073912121913806e1+/-0.124e-29 y[1] (numeric) 0.1993687930371040197070258179030165e1+/-0.921e-29 absolute error 0.3653942883641e-20+/-0.104e-28 relative error 0.1832755682561098702320075545377374e-18+/-0.521e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4400000000000000000000000000003145e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e1+/-0.5e-31 y[1] (closed_form) 0.2049306144334054845697622618461245e1+/-0.123e-29 y[1] (numeric) 0.2049306144334054845693944626302706e1+/-0.985e-29 absolute error 0.3677992158539e-20+/-0.11e-28 relative error 0.1794749978527100474480067700023835e-18+/-0.536e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4500000000000000000000000000002758e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31e1+/-0.5e-31 y[1] (closed_form) 0.2104800871013748656405806405010524e1+/-0.124e-29 y[1] (numeric) 0.2104800871013748656402105923215611e1+/-0.102e-28 absolute error 0.3700481794913e-20+/-0.114e-28 relative error 0.1758114910476406906700645694434397e-18+/-0.541e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4600000000000000000000000000002972e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.32e1+/-0.5e-31 y[1] (closed_form) 0.2160177422318989553055047834136475e1+/-0.124e-29 y[1] (numeric) 0.216017742231898955305132629034303e1+/-0.104e-28 absolute error 0.3721543793445e-20+/-0.116e-28 relative error 0.1722795431057628309681337217084693e-18+/-0.536e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4700000000000000000000000000002708e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.33e1+/-0.5e-31 y[1] (closed_form) 0.2215440774618447638615853597382239e1+/-0.125e-29 y[1] (numeric) 0.2215440774618447638612112300902383e1+/-0.106e-28 absolute error 0.3741296479856e-20+/-0.118e-28 relative error 0.1688736852150941174987908092650581e-18+/-0.532e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4800000000000000000000000000002791e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.34e1+/-0.5e-31 y[1] (closed_form) 0.2270595596419131558902486538415021e1+/-0.124e-29 y[1] (numeric) 0.2270595596419131558898726692244641e1+/-0.109e-28 absolute error 0.375984617038e-20+/-0.121e-28 relative error 0.1655885432134858310306261713824287e-18+/-0.532e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.4900000000000000000000000000002424e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.35e1+/-0.5e-31 y[1] (closed_form) 0.2325646273248511421004497863671873e1+/-0.869e-29 y[1] (numeric) 0.232564627324851142100072057506579e1+/-0.112e-28 absolute error 0.3777288606083e-20+/-0.198e-28 relative error 0.1624188789814026260503348966739891e-18+/-0.851e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5000000000000000000000000000002586e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.36e1+/-0.5e-31 y[1] (closed_form) 0.2380596930072556349261005130393123e1+/-0.864e-29 y[1] (numeric) 0.23805969300725563492572114202057e1+/-0.115e-28 absolute error 0.3793710187423e-20+/-0.201e-28 relative error 0.1593596185687500856589885673200509e-18+/-0.844e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5100000000000000000000000000002517e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.37e1+/-0.5e-31 y[1] (closed_form) 0.2435451451536831745071798087814573e1+/-0.862e-29 y[1] (numeric) 0.2435451451536831745067988898763434e1+/-0.119e-28 absolute error 0.3809189051139e-20+/-0.205e-28 relative error 0.1564058708185418734627069128407361e-18+/-0.841e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5200000000000000000000000000002329e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.38e1+/-0.5e-31 y[1] (closed_form) 0.2490213500279505364885927451451451e1+/-0.857e-29 y[1] (numeric) 0.249021350027950536488210365545317e1+/-0.121e-28 absolute error 0.3823795998281e-20+/-0.206e-28 relative error 0.1535529382461307554417357942864682e-18+/-0.827e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5300000000000000000000000000002233e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39e1+/-0.5e-31 y[1] (closed_form) 0.2544886533532543502250552124750576e1+/-0.856e-29 y[1] (numeric) 0.254488653353254350224671452944494e1+/-0.124e-28 absolute error 0.3837595305636e-20+/-0.209e-28 relative error 0.1507963225499509522779753775867808e-18+/-0.821e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.540000000000000000000000000000205e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e1+/-0.5e-31 y[1] (closed_form) 0.2599473818199592636015485894491988e1+/-0.853e-29 y[1] (numeric) 0.2599473818199592636011635249057345e1+/-0.128e-28 absolute error 0.3850645434643e-20+/-0.213e-28 relative error 0.1481317260317695564971431238296627e-18+/-0.819e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.550000000000000000000000000000202e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41e1+/-0.5e-31 y[1] (closed_form) 0.2653978444575262214689072443648566e1+/-0.850e-29 y[1] (numeric) 0.2653978444575262214685209443997571e1+/-0.13e-28 absolute error 0.3862999650995e-20+/-0.215e-28 relative error 0.1455550499624810364885558083506207e-18+/-0.81e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5600000000000000000000000000001962e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42e1+/-0.5e-31 y[1] (closed_form) 0.2708403338850112444200878333896696e1+/-0.847e-29 y[1] (numeric) 0.2708403338850112444197003627327283e1+/-0.132e-28 absolute error 0.3874706569413e-20+/-0.216e-28 relative error 0.1430623908128121208484860487655012e-18+/-0.797e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5700000000000000000000000000002075e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43e1+/-0.5e-31 y[1] (closed_form) 0.2762751274528079740499936205149128e1+/-0.846e-29 y[1] (numeric) 0.2762751274528079740496050394516604e1+/-0.134e-28 absolute error 0.3885810632524e-20+/-0.218e-28 relative error 0.1406500349253392710788484369375865e-18+/-0.789e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5800000000000000000000000000001868e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.44e1+/-0.5e-31 y[1] (closed_form) 0.2817024882867904769003822760123968e1+/-0.843e-29 y[1] (numeric) 0.281702488286790476899992640759091e1+/-0.139e-28 absolute error 0.3896352533058e-20+/-0.223e-28 relative error 0.1383144521283487290743977159407555e-18+/-0.791e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.5900000000000000000000000000001753e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.45e1+/-0.5e-31 y[1] (closed_form) 0.2871226662447000077557427369960338e1+/-0.842e-29 y[1] (numeric) 0.2871226662447000077553521000372721e1+/-0.142e-28 absolute error 0.3906369587617e-20+/-0.226e-28 relative error 0.1360522886858329878540139984813526e-18+/-0.787e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6000000000000000000000000000001725e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.46e1+/-0.5e-31 y[1] (closed_form) 0.2925358987934802718537657442550466e1+/-0.84e-29 y[1] (numeric) 0.2925358987934802718533741546483655e1+/-0.146e-28 absolute error 0.3915896066811e-20+/-0.230e-28 relative error 0.1338603598040964029385641059744068e-18+/-0.786e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6099999999999999999999999999999623e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.47e1+/-0.5e-31 y[1] (closed_form) 0.2979424118152747795186409278194183e1+/-0.838e-29 y[1] (numeric) 0.2979424118152747795182484314704981e1+/-0.149e-28 absolute error 0.3924963489202e-20+/-0.232e-28 relative error 0.1317356419748488023553267262800797e-18+/-0.778e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6199999999999999999999999999999609e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.48e1+/-0.5e-31 y[1] (closed_form) 0.3033424203489358078323770971016141e1+/-0.836e-29 y[1] (numeric) 0.3033424203489358078319837370133948e1+/-0.155e-28 absolute error 0.3933600882193e-20+/-0.238e-28 relative error 0.1296752652552902312913160027735907e-18+/-0.784e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6299999999999999999999999999999603e1+/-0.11e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.49e1+/-0.5e-31 y[1] (closed_form) 0.3087361292731392870475658348881318e1+/-0.834e-29 y[1] (numeric) 0.3087361292731392870471716513866874e1+/-0.157e-28 absolute error 0.3941835014444e-20+/-0.24e-28 relative error 0.1276765056206509937878078904575214e-18+/-0.777e-27% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.6399999999999999999999999999999583e1+/-0.109e-26 Order of pole (given) 0.1e1+/-0.50e-31 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) / ( 0.2 * x + 0.3 ) ; Iterations 98 Total Elapsed Time 1 Minutes 29 Seconds Elapsed Time(since restart) 1 Minutes 29 Seconds Time to Timeout 18 Minutes 31 Seconds Percent Done 0.1010204081632653061224489795918367e3+/-0.914e-29%