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/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(20.0) x_end=c(30.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_min_h=c(0.001) # 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(-2.0) # 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(10.0) * (c(0.1) * c(x) + c(0.2)) * ln(c(0.1) * c(x) + c(0.2)) - c(x) - c(2.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.2e2+/-0.50e-30 y[1] (closed_form) -0.465393807198605627185394661571281e1+/-0.112e-26 y[1] (numeric) -0.465393807198605627185394661571281e1+/-0.112e-26 absolute error 0.0e0+/-0.224e-26 relative error 0.0e0+/-0.4813128076377874275553778782525365e-25% Desired digits 8 Estimated correct digits 14 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2199999999999999999999999999999723e2+/-0.2e-25 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] 0.201e2+/-0.5e-30 y[1] (closed_form) -0.457486540679448199329843478343141e1+/-0.111e-26 y[1] (numeric) -0.457486540679448199329842619411222e1+/-0.112e-26 absolute error 0.858931919e-23+/-0.223e-26 relative error 0.1877502052244716557921554631849797e-21+/-0.487e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.220999999999999999999999999999971e2+/-0.199e-25 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] 0.202e2+/-0.5e-30 y[1] (closed_form) -0.449534025137102468739009933500751e1+/-0.113e-26 y[1] (numeric) -0.449534025137102468739008223384082e1+/-0.112e-26 absolute error 0.1710116669e-22+/-0.225e-26 relative error 0.3804198510843389424393639747088117e-21+/-0.5e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2219999999999999999999999999999722e2+/-0.199e-25 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] 0.203e2+/-0.5e-30 y[1] (closed_form) -0.441536464397378918961727270206841e1+/-0.112e-26 y[1] (numeric) -0.441536464397378918961724716547821e1+/-0.112e-26 absolute error 0.255365902e-22+/-0.224e-26 relative error 0.5783574463063438928417016069745418e-21+/-0.507e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2229999999999999999999999999999709e2+/-0.199e-25 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] 0.204e2+/-0.5e-30 y[1] (closed_form) -0.433494060458035395491611811338846e1+/-0.114e-26 y[1] (numeric) -0.433494060458035395491608421677527e1+/-0.112e-26 absolute error 0.3389661319e-22+/-0.226e-26 relative error 0.7819395069492855996319027486467683e-21+/-0.521e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2239999999999999999999999999999712e2+/-0.199e-25 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] 0.205e2+/-0.5e-30 y[1] (closed_form) -0.425407013513260281098940980407687e1+/-0.113e-26 y[1] (numeric) -0.425407013513260281098936762183409e1+/-0.112e-26 absolute error 0.4218224278e-22+/-0.225e-26 relative error 0.9915737503158288981535114983706983e-21+/-0.528e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2249999999999999999999999999999702e2+/-0.199e-25 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] 0.206e2+/-0.5e-30 y[1] (closed_form) -0.417275521977720407482759605102617e1+/-0.115e-26 y[1] (numeric) -0.417275521977720407482754565656248e1+/-0.112e-26 absolute error 0.5039446369e-22+/-0.227e-26 relative error 0.1207702370154622002220274991306518e-20+/-0.544e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2259999999999999999999999999999711e2+/-0.199e-25 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] 0.207e2+/-0.5e-30 y[1] (closed_form) -0.409099782510183333161305024852097e1+/-0.114e-26 y[1] (numeric) -0.409099782510183333161299171426623e1+/-0.112e-26 absolute error 0.5853425474e-22+/-0.226e-26 relative error 0.143080630306966643945000488523351e-20+/-0.552e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2269999999999999999999999999999707e2+/-0.2e-25 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] 0.208e2+/-0.5e-30 y[1] (closed_form) -0.400879990036723362977720874621054e1+/-0.116e-26 y[1] (numeric) -0.400879990036723362977714214364432e1+/-0.112e-26 absolute error 0.6660256622e-22+/-0.228e-26 relative error 0.1661409096869583015807725600937919e-20+/-0.568e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2279999999999999999999999999999704e2+/-0.2e-25 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] 0.209e2+/-0.5e-30 y[1] (closed_form) -0.392616337773520437871971329446066e1+/-0.115e-26 y[1] (numeric) -0.392616337773520437871963869412681e1+/-0.112e-26 absolute error 0.7460033385e-22+/-0.227e-26 relative error 0.1900082260281103733170929265027225e-20+/-0.578e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2289999999999999999999999999999698e2+/-0.2e-25 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] 0.21e2+/-0.5e-30 y[1] (closed_form) -0.384309017249260784385848832607585e1+/-0.117e-26 y[1] (numeric) -0.384309017249260784385840579759977e1+/-0.112e-26 absolute error 0.8252847608e-22+/-0.229e-26 relative error 0.2147450941190705119387494126082829e-20+/-0.595e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2299999999999999999999999999999705e2+/-0.2e-25 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] 0.211e2+/-0.5e-30 y[1] (closed_form) -0.375958218327147981463649520894669e1+/-0.117e-26 y[1] (numeric) -0.375958218327147981463640482103973e1+/-0.112e-26 absolute error 0.9038790696e-22+/-0.229e-26 relative error 0.2404200854078605467682587089568504e-20+/-0.609e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2309999999999999999999999999999693e2+/-0.199e-25 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] 0.212e2+/-0.5e-30 y[1] (closed_form) -0.367564129226532877234353669303997e1+/-0.118e-26 y[1] (numeric) -0.367564129226532877234343851353064e1+/-0.112e-26 absolute error 0.9817950933e-22+/-0.230e-26 relative error 0.2671085166460602557611592141210188e-20+/-0.625e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2319999999999999999999999999999688e2+/-0.199e-25 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] 0.213e2+/-0.5e-30 y[1] (closed_form) -0.359126936544170570369656220847699e1+/-0.118e-26 y[1] (numeric) -0.359126936544170570369645630431753e1+/-0.112e-26 absolute error 0.10590415946e-21+/-0.230e-26 relative error 0.2948933891706961691582534553702412e-20+/-0.64e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2329999999999999999999999999999696e2+/-0.199e-25 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] 0.214e2+/-0.5e-30 y[1] (closed_form) -0.350646825275112459072968521647504e1+/-0.119e-26 y[1] (numeric) -0.350646825275112459072957165375834e1+/-0.112e-26 absolute error 0.1135627167e-21+/-0.231e-26 relative error 0.323866376405662092551348980551749e-20+/-0.658e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2339999999999999999999999999999687e2+/-0.199e-25 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] 0.215e2+/-0.5e-30 y[1] (closed_form) -0.34212397883324115554354132996751e1+/-0.119e-26 y[1] (numeric) -0.342123978833241155543529214364911e1+/-0.112e-26 absolute error 0.12115602599e-21+/-0.231e-26 relative error 0.3541290102002880789876160815226024e-20+/-0.675e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2349999999999999999999999999999695e2+/-0.2e-25 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] 0.216e2+/-0.5e-30 y[1] (closed_form) -0.333558579071455864661705170846324e1+/-0.12e-26 y[1] (numeric) -0.333558579071455864661692302354632e1+/-0.112e-26 absolute error 0.12868491692e-21+/-0.232e-26 relative error 0.3857940553597116511067942038031145e-20+/-0.695e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2359999999999999999999999999999684e2+/-0.2e-25 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] 0.217e2+/-0.5e-30 y[1] (closed_form) -0.324950806301515632448667350383526e1+/-0.12e-26 y[1] (numeric) -0.324950806301515632448653735363229e1+/-0.112e-26 absolute error 0.13615020297e-21+/-0.232e-26 relative error 0.4189871215265391065534975618884112e-20+/-0.713e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2369999999999999999999999999999682e2+/-0.199e-25 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] 0.218e2+/-0.5e-30 y[1] (closed_form) -0.316300839313547682367994955291371e1+/-0.121e-26 y[1] (numeric) -0.316300839313547682367980600022078e1+/-0.112e-26 absolute error 0.14355269293e-21+/-0.233e-26 relative error 0.4538485994584947132999180326827271e-20+/-0.736e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2379999999999999999999999999999681e2+/-0.199e-25 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] 0.219e2+/-0.5e-30 y[1] (closed_form) -0.30760885539522787556403816310232e1+/-0.121e-26 y[1] (numeric) -0.307608855395227875564023073785204e1+/-0.112e-26 absolute error 0.15089317116e-21+/-0.233e-26 relative error 0.4905358493861516384471776473572335e-20+/-0.757e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2389999999999999999999999999999683e2+/-0.199e-25 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] 0.22e2+/-0.5e-30 y[1] (closed_form) -0.298875030350640154490519648126648e1+/-0.122e-26 y[1] (numeric) -0.298875030350640154490503830885016e1+/-0.112e-26 absolute error 0.15817241632e-21+/-0.234e-26 relative error 0.5292259314350621316247819548541541e-20+/-0.782e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2399999999999999999999999999999684e2+/-0.2e-25 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] 0.221e2+/-0.5e-30 y[1] (closed_form) -0.290099538518821657892667533482775e1+/-0.122e-26 y[1] (numeric) -0.290099538518821657892650994363747e1+/-0.112e-26 absolute error 0.16539119028e-21+/-0.234e-26 relative error 0.5701187638024092191705452410686573e-20+/-0.806e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2409999999999999999999999999999676e2+/-0.199e-25 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] 0.222e2+/-0.5e-30 y[1] (closed_form) -0.281282552792000028597569989389502e1+/-0.123e-26 y[1] (numeric) -0.281282552792000028597552734365281e1+/-0.112e-26 absolute error 0.17255024221e-21+/-0.235e-26 relative error 0.6134409706441895966120242933768386e-20+/-0.835e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2419999999999999999999999999999665e2+/-0.199e-25 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] 0.223e2+/-0.5e-30 y[1] (closed_form) -0.272424244633529273875208841154415e1+/-0.123e-26 y[1] (numeric) -0.272424244633529273875190876123374e1+/-0.112e-26 absolute error 0.17965031041e-21+/-0.235e-26 relative error 0.6594505222971960948249163194474314e-20+/-0.862e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2429999999999999999999999999999667e2+/-0.2e-25 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] 0.224e2+/-0.5e-30 y[1] (closed_form) -0.263524784095530381098316133782569e1+/-0.124e-26 y[1] (numeric) -0.263524784095530381098297464570118e1+/-0.112e-26 absolute error 0.18669212451e-21+/-0.236e-26 relative error 0.7084423772540583117021841867728174e-20+/-0.895e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2439999999999999999999999999999668e2+/-0.2e-25 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] 0.225e2+/-0.5e-30 y[1] (closed_form) -0.254584339836242738900069318674684e1+/-0.124e-26 y[1] (numeric) -0.254584339836242738900049951035522e1+/-0.112e-26 absolute error 0.19367639162e-21+/-0.236e-26 relative error 0.7607553227530774596003734629929359e-20+/-0.927e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2449999999999999999999999999999658e2+/-0.199e-25 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] 0.226e2+/-0.5e-30 y[1] (closed_form) -0.245603079137092265857585757755753e1+/-0.125e-26 y[1] (numeric) -0.245603079137092265857565697373493e1+/-0.112e-26 absolute error 0.2006038226e-21+/-0.237e-26 relative error 0.8167805684880102873528375497952679e-20+/-0.964e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2459999999999999999999999999999667e2+/-0.2e-25 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] 0.227e2+/-0.5e-30 y[1] (closed_form) -0.236581167919482004774466048708774e1+/-0.125e-26 y[1] (numeric) -0.236581167919482004774445301198421e1+/-0.112e-26 absolute error 0.20747510353e-21+/-0.237e-26 relative error 0.8769721840269722657147834970197664e-20+/-0.1e-24% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2469999999999999999999999999999659e2+/-0.2e-25 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] 0.228e2+/-0.5e-30 y[1] (closed_form) -0.227518770761310800760703106717794e1+/-0.126e-26 y[1] (numeric) -0.22751877076131080076068167762653e1+/-0.112e-26 absolute error 0.21429091264e-21+/-0.238e-26 relative error 0.941860365731370342588797192782106e-20+/-0.104e-24% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2479999999999999999999999999999664e2+/-0.199e-25 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] 0.229e2+/-0.5e-30 y[1] (closed_form) -0.218416050913225545381510968392845e1+/-0.126e-26 y[1] (numeric) -0.218416050913225545381488863200504e1+/-0.112e-26 absolute error 0.22105192341e-21+/-0.238e-26 relative error 0.1012068126338488098110419363266435e-19+/-0.108e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2489999999999999999999999999999666e2+/-0.2e-25 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] 0.23e2+/-0.5e-30 y[1] (closed_form) -0.209273170314612337041181970577108e1+/-0.127e-26 y[1] (numeric) -0.209273170314612337041159194698169e1+/-0.112e-26 absolute error 0.22775878939e-21+/-0.239e-26 relative error 0.1088332484511020564987627613415223e-19+/-0.114e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2499999999999999999999999999999661e2+/-0.199e-25 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] 0.231e2+/-0.5e-30 y[1] (closed_form) -0.200090289609331779361668152602127e1+/-0.127e-26 y[1] (numeric) -0.200090289609331779361644711385655e1+/-0.112e-26 absolute error 0.23441216472e-21+/-0.239e-26 relative error 0.117153193779508389717153339623333e-19+/-0.119e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2509999999999999999999999999999659e2+/-0.199e-25 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] 0.232e2+/-0.5e-30 y[1] (closed_form) -0.190867568161203514490302131890919e1+/-0.128e-26 y[1] (numeric) -0.190867568161203514490278030622865e1+/-0.112e-26 absolute error 0.24101268054e-21+/-0.240e-26 relative error 0.126272201643206756386642737427801e-19+/-0.125e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2519999999999999999999999999999656e2+/-0.2e-25 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] 0.233e2+/-0.5e-30 y[1] (closed_form) -0.181605164069244966913234843968628e1+/-0.128e-26 y[1] (numeric) -0.181605164069244966913210087871846e1+/-0.112e-26 absolute error 0.24756096782e-21+/-0.240e-26 relative error 0.1363182424292772193048121290740672e-19+/-0.132e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2529999999999999999999999999999647e2+/-0.199e-25 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] 0.234e2+/-0.5e-30 y[1] (closed_form) -0.172303234182669155351127349690685e1+/-0.129e-26 y[1] (numeric) -0.172303234182669155351101943926477e1+/-0.112e-26 absolute error 0.25405764208e-21+/-0.241e-26 relative error 0.1474479822071465102738146679095345e-19+/-0.139e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2539999999999999999999999999999661e2+/-0.2e-25 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] 0.235e2+/-0.5e-30 y[1] (closed_form) -0.162961934115646315565631489431849e1+/-0.129e-26 y[1] (numeric) -0.162961934115646315565605439100571e1+/-0.112e-26 absolute error 0.26050331278e-21+/-0.241e-26 relative error 0.1598553147970944050046181923185861e-19+/-0.147e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2549999999999999999999999999999648e2+/-0.199e-25 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] 0.236e2+/-0.5e-30 y[1] (closed_form) -0.153581418261833965307202400517717e1+/-0.13e-26 y[1] (numeric) -0.153581418261833965307175710660039e1+/-0.112e-26 absolute error 0.26689857678e-21+/-0.242e-26 relative error 0.1737831176457667372452625669319406e-19+/-0.157e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2559999999999999999999999999999638e2+/-0.2e-25 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] 0.237e2+/-0.5e-30 y[1] (closed_form) -0.144161839808679934088364688138431e1+/-0.13e-26 y[1] (numeric) -0.144161839808679934088337363736002e1+/-0.112e-26 absolute error 0.27324402429e-21+/-0.242e-26 relative error 0.1895397732524970679587895850482782e-19+/-0.167e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2569999999999999999999999999999649e2+/-0.199e-25 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] 0.238e2+/-0.5e-30 y[1] (closed_form) -0.134703350751502774876710637114046e1+/-0.131e-26 y[1] (numeric) -0.134703350751502774876682683090582e1+/-0.112e-26 absolute error 0.27954023464e-21+/-0.243e-26 relative error 0.2075228515701057263589791920705106e-19+/-0.18e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2579999999999999999999999999999643e2+/-0.2e-25 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] 0.239e2+/-0.5e-30 y[1] (closed_form) -0.125206101907353872076964341772982e1+/-0.131e-26 y[1] (numeric) -0.125206101907353872076935762995078e1+/-0.112e-26 absolute error 0.28578777904e-21+/-0.243e-26 relative error 0.2282538747604077449833978223030677e-19+/-0.194e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.258999999999999999999999999999964e2+/-0.199e-25 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] 0.24e2+/-0.5e-30 y[1] (closed_form) -0.115670242928665460222906918315384e1+/-0.132e-26 y[1] (numeric) -0.115670242928665460222877719593634e1+/-0.112e-26 absolute error 0.2919872175e-21+/-0.244e-26 relative error 0.2524307117432702950905898291672136e-19+/-0.21e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2599999999999999999999999999999642e2+/-0.2e-25 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] 0.241e2+/-0.5e-30 y[1] (closed_form) -0.106095922316688670542395252249305e1+/-0.132e-26 y[1] (numeric) -0.10609592231668867054236543833868e1+/-0.112e-26 absolute error 0.29813910625e-21+/-0.244e-26 relative error 0.2810090149931269613868722295068442e-19+/-0.229e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2609999999999999999999999999999635e2+/-0.199e-25 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] 0.242e2+/-0.5e-30 y[1] (closed_form) -0.9648328743472562790963615505873e0+/-0.133e-26 y[1] (numeric) -0.964832874347256279096057306596375e0+/-0.112e-26 absolute error 0.304243990925e-21+/-0.245e-26 relative error 0.3153333587755619022954646612416326e-19+/-0.253e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2619999999999999999999999999999629e2+/-0.2e-25 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] 0.243e2+/-0.5e-30 y[1] (closed_form) -0.86832484521159528578648976777567e0+/-0.133e-26 y[1] (numeric) -0.868324845211595285786179465371536e0+/-0.112e-26 absolute error 0.310302404134e-21+/-0.245e-26 relative error 0.3573575095140630643206156213651801e-19+/-0.282e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2629999999999999999999999999999628e2+/-0.199e-25 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] 0.244e2+/-0.5e-30 y[1] (closed_form) -0.77143658702286539423538007478449e0+/-0.134e-26 y[1] (numeric) -0.771436587022865394235063759906546e0+/-0.112e-26 absolute error 0.316314877944e-21+/-0.246e-26 relative error 0.4100335442537474844460649122427936e-19+/-0.318e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2639999999999999999999999999999632e2+/-0.2e-25 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] 0.245e2+/-0.5e-30 y[1] (closed_form) -0.67416954004953272120499258347921e0+/-0.134e-26 y[1] (numeric) -0.674169540049532721204670301547481e0+/-0.112e-26 absolute error 0.322281931729e-21+/-0.246e-26 relative error 0.4780428550736973915131138567791395e-19+/-0.364e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2649999999999999999999999999999627e2+/-0.199e-25 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] 0.246e2+/-0.5e-30 y[1] (closed_form) -0.57652513369003500721625829458659e0+/-0.135e-26 y[1] (numeric) -0.576525133690035007215930090508997e0+/-0.112e-26 absolute error 0.328204077593e-21+/-0.247e-26 relative error 0.5692797389288786673592278079976889e-19+/-0.428e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2659999999999999999999999999999623e2+/-0.199e-25 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] 0.247e2+/-0.5e-30 y[1] (closed_form) -0.4785047865953770832220209184014e0+/-0.135e-26 y[1] (numeric) -0.478504786595377083221686836578239e0+/-0.112e-26 absolute error 0.334081823161e-21+/-0.247e-26 relative error 0.6981786442263932449624128407442638e-19+/-0.516e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2669999999999999999999999999999628e2+/-0.2e-25 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] 0.248e2+/-0.5e-30 y[1] (closed_form) -0.38010990678988967944277075834911e0+/-0.136e-26 y[1] (numeric) -0.380109906789889679442430842685968e0+/-0.112e-26 absolute error 0.339915663142e-21+/-0.248e-26 relative error 0.89425625870333463625420887114441e-19+/-0.652e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2679999999999999999999999999999616e2+/-0.199e-25 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] 0.249e2+/-0.5e-30 y[1] (closed_form) -0.28134189179018584285119970666684e0+/-0.136e-26 y[1] (numeric) -0.281341891790185842850854000582061e0+/-0.112e-26 absolute error 0.345706084779e-21+/-0.248e-26 relative error 0.1228775716901820441893766374816882e-18+/-0.881e-24% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2689999999999999999999999999999621e2+/-0.2e-25 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] 0.25e2+/-0.5e-30 y[1] (closed_form) -0.18220212872234846547090508572507e0+/-0.137e-26 y[1] (numeric) -0.182202128722348465470553632145207e0+/-0.112e-26 absolute error 0.351453579863e-21+/-0.249e-26 relative error 0.1928921370609055718199480104181637e-18+/-0.136e-23% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2699999999999999999999999999999619e2+/-0.199e-25 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] 0.251e2+/-0.5e-30 y[1] (closed_form) -0.8269199443738168114995785998703e-1+/-0.137e-26 y[1] (numeric) -0.826919944373816811496007013685014e-1+/-0.112e-26 absolute error 0.3571586185286e-21+/-0.249e-26 relative error 0.4319143841657580604566386454662434e-18+/-0.301e-23% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2709999999999999999999999999999618e2+/-0.199e-25 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] 0.252e2+/-0.5e-30 y[1] (closed_form) 0.1718714437504183680346128599651e-1+/-0.138e-26 y[1] (numeric) 0.1718714437504183680382410766418989e-1+/-0.112e-26 absolute error 0.36282166767989e-21+/-0.250e-26 relative error 0.2111006108767890201208710312495103e-17+/-0.145e-22% Desired digits 8 Estimated correct digits 10 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2719999999999999999999999999999614e2+/-0.2e-25 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] 0.253e2+/-0.5e-30 y[1] (closed_form) 0.11743393107450635134419859297882e0+/-0.138e-26 y[1] (numeric) 0.1174339310745063513445670361698587e0+/-0.112e-26 absolute error 0.3684431910387e-21+/-0.250e-26 relative error 0.3137450885510593884479441444326869e-18+/-0.212e-23% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2729999999999999999999999999999621e2+/-0.199e-25 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] 0.254e2+/-0.5e-30 y[1] (closed_form) 0.21804701895942067348243791792668e0+/-0.139e-26 y[1] (numeric) 0.2180470189594206734828119415721578e0+/-0.112e-26 absolute error 0.3740236454778e-21+/-0.251e-26 relative error 0.1715334826693535911258400465415423e-18+/-0.115e-23% Desired digits 8 Estimated correct digits 11 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2739999999999999999999999999999603e2+/-0.199e-25 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] 0.255e2+/-0.5e-30 y[1] (closed_form) 0.31902507115819794375568171386886e0+/-0.139e-26 y[1] (numeric) 0.3190250711581979437560612773460741e0+/-0.112e-26 absolute error 0.3795634772141e-21+/-0.251e-26 relative error 0.1189760653719538897995114865226907e-18+/-0.786e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2749999999999999999999999999999602e2+/-0.2e-25 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] 0.256e2+/-0.5e-30 y[1] (closed_form) 0.42036676052201827081323150296655e0+/-0.14e-26 y[1] (numeric) 0.4203667605220182708136165660939859e0+/-0.112e-26 absolute error 0.3850631274359e-21+/-0.252e-26 relative error 0.916017067947338067726202218916165e-19+/-0.599e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2759999999999999999999999999999606e2+/-0.199e-25 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] 0.257e2+/-0.5e-30 y[1] (closed_form) 0.52207076951914555178558553234687e0+/-0.14e-26 y[1] (numeric) 0.5220707695191455517859760553815471e0+/-0.112e-26 absolute error 0.3905230346771e-21+/-0.252e-26 relative error 0.7480270060643159800931531282640418e-19+/-0.482e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2769999999999999999999999999999611e2+/-0.199e-25 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] 0.258e2+/-0.5e-30 y[1] (closed_form) 0.62413579013077042024694884085666e0+/-0.141e-26 y[1] (numeric) 0.6241357901307704202473447844823302e0+/-0.112e-26 absolute error 0.3959436256702e-21+/-0.253e-26 relative error 0.634386990669515918372426920361946e-19+/-0.405e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2779999999999999999999999999999607e2+/-0.2e-25 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] 0.259e2+/-0.5e-30 y[1] (closed_form) 0.72656052374835187307444570364926e0+/-0.141e-26 y[1] (numeric) 0.7265605237483518730748470289765781e0+/-0.112e-26 absolute error 0.4013253273181e-21+/-0.253e-26 relative error 0.5523632432541864544617625494060396e-19+/-0.348e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2789999999999999999999999999999604e2+/-0.199e-25 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] 0.26e2+/-0.5e-30 y[1] (closed_form) 0.82934368107243071781111488693127e0+/-0.142e-26 y[1] (numeric) 0.8293436810724307178115215554849309e0+/-0.112e-26 absolute error 0.4066685536609e-21+/-0.254e-26 relative error 0.4903498548816743296948618229606946e-19+/-0.306e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2799999999999999999999999999999606e2+/-0.199e-25 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] 0.261e2+/-0.5e-30 y[1] (closed_form) 0.93248398201288855768541717064421e0+/-0.142e-26 y[1] (numeric) 0.9324839820128885576858291443579723e0+/-0.112e-26 absolute error 0.4119737137623e-21+/-0.254e-26 relative error 0.441802456352119733844121628164325e-19+/-0.272e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2809999999999999999999999999999597e2+/-0.2e-25 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] 0.262e2+/-0.5e-30 y[1] (closed_form) 0.103598015559062659264795234974114e1+/-0.144e-26 y[1] (numeric) 0.1035980155590626592648369590956361e1+/-0.112e-26 absolute error 0.417241215221e-21+/-0.256e-26 relative error 0.4027502003483117120906592094515606e-19+/-0.247e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2819999999999999999999999999999599e2+/-0.2e-25 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] 0.263e2+/-0.5e-30 y[1] (closed_form) 0.11398309398406390620631199191942e1+/-0.143e-26 y[1] (numeric) 0.1139830939840639062063542390654097e1+/-0.112e-26 absolute error 0.422471459897e-21+/-0.255e-26 relative error 0.3706439658113388026055336464609261e-19+/-0.223e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2829999999999999999999999999999592e2+/-0.199e-25 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] 0.264e2+/-0.5e-30 y[1] (closed_form) 0.12440350817164566884333785961502e1+/-0.145e-26 y[1] (numeric) 0.1244035081716456688433806260987476e1+/-0.112e-26 absolute error 0.427664837276e-21+/-0.257e-26 relative error 0.3437723289008294579280288614511529e-19+/-0.206e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2839999999999999999999999999999589e2+/-0.199e-25 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] 0.265e2+/-0.5e-30 y[1] (closed_form) 0.134859133699593600211789914106156e1+/-0.144e-26 y[1] (numeric) 0.1348591336995936002118331962799549e1+/-0.112e-26 absolute error 0.432821737989e-21+/-0.256e-26 relative error 0.3209435846986345531066459078561982e-19+/-0.189e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2849999999999999999999999999999597e2+/-0.2e-25 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] 0.266e2+/-0.5e-30 y[1] (closed_form) 0.145349847018837093480505462435565e1+/-0.146e-26 y[1] (numeric) 0.1453498470188370934805492566902802e1+/-0.112e-26 absolute error 0.437942547152e-21+/-0.258e-26 relative error 0.3013023791454306719575619703478037e-19+/-0.177e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2859999999999999999999999999999578e2+/-0.2e-25 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] 0.267e2+/-0.5e-30 y[1] (closed_form) 0.15587552544429035648670230441387e1+/-0.146e-26 y[1] (numeric) 0.1558755254442903564867466071775593e1+/-0.112e-26 absolute error 0.443027636893e-21+/-0.258e-26 relative error 0.28421885708499973081381682362051e-19+/-0.165e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2869999999999999999999999999999584e2+/-0.199e-25 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] 0.268e2+/-0.5e-30 y[1] (closed_form) 0.166436047145821138101124334692176e1+/-0.147e-26 y[1] (numeric) 0.1664360471458211381011691424308453e1+/-0.112e-26 absolute error 0.448077386693e-21+/-0.259e-26 relative error 0.269218954894081241901580467969606e-19+/-0.155e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2879999999999999999999999999999589e2+/-0.199e-25 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] 0.269e2+/-0.5e-30 y[1] (closed_form) 0.17703129113934489021831948323374e1+/-0.147e-26 y[1] (numeric) 0.1770312911393448902183647924494488e1+/-0.112e-26 absolute error 0.453092157088e-21+/-0.259e-26 relative error 0.2559390230800282924352030011211338e-19+/-0.146e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2889999999999999999999999999999581e2+/-0.199e-25 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] 0.27e2+/-0.5e-30 y[1] (closed_form) 0.187661137278042195179313675267496e1+/-0.148e-26 y[1] (numeric) 0.1876611372780421951793594824989555e1+/-0.112e-26 absolute error 0.458072314595e-21+/-0.260e-26 relative error 0.2440954591020684411496372192119239e-19+/-0.138e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.289999999999999999999999999999958e2+/-0.2e-25 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] 0.271e2+/-0.5e-30 y[1] (closed_form) 0.198325466243697333335113292342866e1+/-0.148e-26 y[1] (numeric) 0.1983254662436973333351595941640833e1+/-0.112e-26 absolute error 0.463018212173e-21+/-0.260e-26 relative error 0.2334638213350043978236970278772674e-19+/-0.131e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.290999999999999999999999999999958e2+/-0.2e-25 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] 0.272e2+/-0.5e-30 y[1] (closed_form) 0.209024159538155909280523357682148e1+/-0.149e-26 y[1] (numeric) 0.2090241595381559092805701507030476e1+/-0.112e-26 absolute error 0.467930208996e-21+/-0.261e-26 relative error 0.2238641743757771640333211571374917e-19+/-0.124e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2919999999999999999999999999999569e2+/-0.199e-25 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] 0.273e2+/-0.5e-30 y[1] (closed_form) 0.219757099474899498058302045592815e1+/-0.149e-26 y[1] (numeric) 0.2197570994748994980583493264573607e1+/-0.112e-26 absolute error 0.472808645457e-21+/-0.261e-26 relative error 0.215150566960865749976640124496855e-19+/-0.118e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2929999999999999999999999999999573e2+/-0.199e-25 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] 0.274e2+/-0.5e-30 y[1] (closed_form) 0.230524169170735314382367811543815e1+/-0.15e-26 y[1] (numeric) 0.2305241691707353143824155769304051e1+/-0.112e-26 absolute error 0.477653865901e-21+/-0.262e-26 relative error 0.207203378118339800178941856730675e-19+/-0.113e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2939999999999999999999999999999576e2+/-0.199e-25 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] 0.275e2+/-0.5e-30 y[1] (closed_form) 0.241325252537598948683439052855238e1+/-0.15e-26 y[1] (numeric) 0.241325252537598948683487299476428e1+/-0.112e-26 absolute error 0.4824662119e-21+/-0.262e-26 relative error 0.199923632867567730348508023335683e-19+/-0.108e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.294999999999999999999999999999957e2+/-0.199e-25 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] 0.276e2+/-0.5e-30 y[1] (closed_form) 0.252160234274468253568075013072885e1+/-0.151e-26 y[1] (numeric) 0.2521602342744682535681237376742497e1+/-0.112e-26 absolute error 0.487246013647e-21+/-0.263e-26 relative error 0.1932287281731537750680156395068443e-19+/-0.104e-24% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2959999999999999999999999999999567e2+/-0.2e-25 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] 0.277e2+/-0.5e-30 y[1] (closed_form) 0.263028999859386503128738246713773e1+/-0.151e-26 y[1] (numeric) 0.2630289998593865031287874460737569e1+/-0.112e-26 absolute error 0.491993599839e-21+/-0.263e-26 relative error 0.1870491847294467148174768461057051e-19+/-0.999e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2969999999999999999999999999999573e2+/-0.2e-25 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] 0.278e2+/-0.5e-30 y[1] (closed_form) 0.273931435541592985473558911839601e1+/-0.152e-26 y[1] (numeric) 0.273931435541592985473608582769352e1+/-0.112e-26 absolute error 0.49670929751e-21+/-0.264e-26 relative error 0.1813261397064379801901691975730319e-19+/-0.963e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2979999999999999999999999999999556e2+/-0.2e-25 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] 0.279e2+/-0.5e-30 y[1] (closed_form) 0.284867428333759225884529518382864e1+/-0.152e-26 y[1] (numeric) 0.2848674283337592258845796577256332e1+/-0.112e-26 absolute error 0.501393427692e-21+/-0.264e-26 relative error 0.1760093916755384251440826057395568e-19+/-0.926e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.298999999999999999999999999999956e2+/-0.199e-25 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] 0.28e2+/-0.5e-30 y[1] (closed_form) 0.295836866004329074185735710770431e1+/-0.153e-26 y[1] (numeric) 0.2958368660043290741857863154003891e1+/-0.112e-26 absolute error 0.506046299581e-21+/-0.265e-26 relative error 0.1710558614333059034162101036951592e-19+/-0.895e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.2999999999999999999999999999999563e2+/-0.199e-25 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] 0.281e2+/-0.5e-30 y[1] (closed_form) 0.306839637069960925232059165737712e1+/-0.153e-26 y[1] (numeric) 0.3068396370699609252321102325612015e1+/-0.112e-26 absolute error 0.510668234895e-21+/-0.265e-26 relative error 0.1664283792574572645654519718306999e-19+/-0.863e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3009999999999999999999999999999539e2+/-0.199e-25 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] 0.282e2+/-0.5e-30 y[1] (closed_form) 0.317875630788070375936006244956037e1+/-0.154e-26 y[1] (numeric) 0.3178756307880703759360577709092304e1+/-0.112e-26 absolute error 0.515259531934e-21+/-0.266e-26 relative error 0.16209469428549138333505088877187e-19+/-0.836e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3019999999999999999999999999999532e2+/-0.199e-25 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] 0.283e2+/-0.5e-30 y[1] (closed_form) 0.328944737149471655957685601237364e1+/-0.154e-26 y[1] (numeric) 0.3289447371494716559577375832871557e1+/-0.112e-26 absolute error 0.519820497917e-21+/-0.266e-26 relative error 0.1580266954326722915410488561296676e-19+/-0.808e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3029999999999999999999999999999532e2+/-0.199e-25 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] 0.284e2+/-0.5e-30 y[1] (closed_form) 0.340046846871116202111597945392138e1+/-0.155e-26 y[1] (numeric) 0.3400468468711162021116503805360706e1+/-0.112e-26 absolute error 0.524351439326e-21+/-0.267e-26 relative error 0.1541997651649269706887048636643848e-19+/-0.785e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3039999999999999999999999999999531e2+/-0.199e-25 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] 0.285e2+/-0.5e-30 y[1] (closed_form) 0.351181851388926778714304858216099e1+/-0.155e-26 y[1] (numeric) 0.351181851388926778714357743480047e1+/-0.112e-26 absolute error 0.52885263948e-21+/-0.267e-26 relative error 0.1505922465492974540140212135475184e-19+/-0.76e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3049999999999999999999999999999527e2+/-0.2e-25 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] 0.286e2+/-0.5e-30 y[1] (closed_form) 0.362349642850725577529099369654337e1+/-0.156e-26 y[1] (numeric) 0.3623496428507255775291527020938093e1+/-0.112e-26 absolute error 0.533324394723e-21+/-0.268e-26 relative error 0.1471850201168018230234698571810537e-19+/-0.739e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.305999999999999999999999999999953e2+/-0.2e-25 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] 0.287e2+/-0.5e-30 y[1] (closed_form) 0.373550114109254761676812549797843e1+/-0.156e-26 y[1] (numeric) 0.3735501141092547616768663264979618e1+/-0.112e-26 absolute error 0.537767001188e-21+/-0.268e-26 relative error 0.1439611395837281420400193918799805e-19+/-0.717e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3069999999999999999999999999999528e2+/-0.2e-25 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] 0.288e2+/-0.5e-30 y[1] (closed_form) 0.384783158715287947894595177267119e1+/-0.157e-26 y[1] (numeric) 0.384783158715287947894649395340067e1+/-0.112e-26 absolute error 0.54218072948e-21+/-0.269e-26 relative error 0.1409055248910140091258770417553437e-19+/-0.699e-25% Desired digits 8 Estimated correct digits 12 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3079999999999999999999999999999529e2+/-0.2e-25 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] 0.289e2+/-0.5e-30 y[1] (closed_form) 0.396048670910831150855101745658957e1+/-0.157e-26 y[1] (numeric) 0.3960486709108311508551564022461469e1+/-0.112e-26 absolute error 0.546565871899e-21+/-0.269e-26 relative error 0.1380047231674859536175668676477731e-19+/-0.679e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3089999999999999999999999999999527e2+/-0.2e-25 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] 0.29e2+/-0.5e-30 y[1] (closed_form) 0.407346545622411741924635896562611e1+/-0.158e-26 y[1] (numeric) 0.407346545622411741924690988832145e1+/-0.112e-26 absolute error 0.55092269534e-21+/-0.270e-26 relative error 0.1352466839992981303486103435463416e-19+/-0.662e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3099999999999999999999999999999518e2+/-0.2e-25 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] 0.291e2+/-0.5e-30 y[1] (closed_form) 0.418676678454454002757639360361456e1+/-0.158e-26 y[1] (numeric) 0.4186766784544540027576948855097798e1+/-0.112e-26 absolute error 0.555251483238e-21+/-0.270e-26 relative error 0.1326205904966362654686055913170011e-19+/-0.644e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3109999999999999999999999999999519e2+/-0.2e-25 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] 0.292e2+/-0.5e-30 y[1] (closed_form) 0.43003896568273988151307193650283e1+/-0.159e-26 y[1] (numeric) 0.4300389656827398815131278917524876e1+/-0.112e-26 absolute error 0.559552496576e-21+/-0.271e-26 relative error 0.1301166966783210956871564750293351e-19+/-0.63e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3119999999999999999999999999999525e2+/-0.2e-25 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] 0.293e2+/-0.5e-30 y[1] (closed_form) 0.441433304247953586251908911653499e1+/-0.159e-26 y[1] (numeric) 0.4414333042479535862519652942542453e1+/-0.112e-26 absolute error 0.563826007463e-21+/-0.271e-26 relative error 0.1277262050772449860120892224460305e-19+/-0.613e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3129999999999999999999999999999514e2+/-0.199e-25 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] 0.294e2+/-0.5e-30 y[1] (closed_form) 0.452859591749308676249880568270585e1+/-0.16e-26 y[1] (numeric) 0.4528595917493086762499373754979115e1+/-0.112e-26 absolute error 0.568072273265e-21+/-0.272e-26 relative error 0.1254411485623274765168831095937724e-19+/-0.6e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3139999999999999999999999999999518e2+/-0.199e-25 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] 0.295e2+/-0.5e-30 y[1] (closed_form) 0.464317726438256337550951869611591e1+/-0.16e-26 y[1] (numeric) 0.4643177264382563375510090987677091e1+/-0.112e-26 absolute error 0.572291561181e-21+/-0.272e-26 relative error 0.1232542995011201060913857683726009e-19+/-0.585e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3149999999999999999999999999999513e2+/-0.199e-25 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] 0.296e2+/-0.5e-30 y[1] (closed_form) 0.475807607212273554109708925094537e1+/-0.161e-26 y[1] (numeric) 0.4758076072122735541097665735066421e1+/-0.112e-26 absolute error 0.576484121051e-21+/-0.273e-26 relative error 0.121159080332612528839062053771812e-19+/-0.573e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3159999999999999999999999999999513e2+/-0.199e-25 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] 0.297e2+/-0.5e-30 y[1] (closed_form) 0.487329133608729910339180253980436e1+/-0.161e-26 y[1] (numeric) 0.487329133608729910339238319001489e1+/-0.112e-26 absolute error 0.58065021053e-21+/-0.273e-26 relative error 0.1191494968154718086319690695208475e-19+/-0.56e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3170000000000000000000000000004636e2+/-0.199e-24 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] 0.298e2+/-0.5e-30 y[1] (closed_form) 0.498882205798831784808664209973264e1+/-0.162e-26 y[1] (numeric) 0.4988822057988317848087226889808696e1+/-0.112e-26 absolute error 0.584790076056e-21+/-0.274e-26 relative error 0.11722007104254376327912187114198e-19+/-0.549e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3180000000000000000000000000004385e2+/-0.199e-24 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] 0.299e2+/-0.5e-30 y[1] (closed_form) 0.510466724581642718237452316059615e1+/-0.162e-26 y[1] (numeric) 0.5104667245816427182375112064564737e1+/-0.112e-26 absolute error 0.588903968587e-21+/-0.274e-26 relative error 0.115365789820999827634020376988126e-19+/-0.536e-25% Desired digits 8 Estimated correct digits 13 Correct digits 32 h 0.5e-1+/-0.1e-100 Radius of convergence (given) for eq 1 0.3190000000000000000000000000004609e2+/-0.199e-24 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 ) = ln ( 0.1 * x + 0.2 ) ; Iterations 200 Total Elapsed Time 4 Minutes 33 Seconds Elapsed Time(since restart) 4 Minutes 32 Seconds Time to Timeout 15 Minutes 27 Seconds Percent Done 0.1005e3+/-0.25e-28%