##############ECHO OF PROBLEM################# ##############temp/ln_sqrt_sm_hpostode.ode################# diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=10.0; x_end=11.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_h=0.000001; glob_type_given_pole=1; array_given_rad_poles[1][1]=-2.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=0.5; array_given_ord_poles[1][2]=0.0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(5.0 * ln(0.1 * x + 0.2) * ( 0.1 * x + 0.2) - 0.5 * x - 1.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1 estimated_steps = 1000000 step_error = 2.5e-15 est_needed_step_err = 2.5e-15 opt_iter = 1 SETTING H FOR MAX H Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 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 START of Soultion TOP MAIN SOLVE Loop x[1] = 10 y[1] (analytic) = -4.906070659236272 y[1] (numeric) = -4.906070659236272 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 1e-06 Radius of convergence (given) for eq 1 = 12 Order of pole (given) = 0.5 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] = 10.01000099999252 y[1] (analytic) = -4.905156877120825 y[1] (numeric) = -4.905156877120135 absolute error = 6.901146321069973e-13 relative error = 1.406916535790947e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.01 Order of pole (given) = 0.5 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] = 10.02000099998503 y[1] (analytic) = -4.904239022968712 y[1] (numeric) = -4.904239022967329 absolute error = 1.382893799473095e-12 relative error = 2.819792822079825e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.02 Order of pole (given) = 0.5 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] = 10.03000099997755 y[1] (analytic) = -4.903317009082696 y[1] (numeric) = -4.903317009080626 absolute error = 2.070343896320992e-12 relative error = 4.222333356146411e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.03 Order of pole (given) = 0.5 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] = 10.04000099997006 y[1] (analytic) = -4.902390838920576 y[1] (numeric) = -4.902390838917805 absolute error = 2.771116669464391e-12 relative error = 5.652582098237079e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.04 Order of pole (given) = 0.5 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] = 10.05000099996258 y[1] (analytic) = -4.901460515934409 y[1] (numeric) = -4.901460515930965 absolute error = 3.444355911597086e-12 relative error = 7.027203219121428e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.05 Order of pole (given) = 0.5 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] = 10.0600009999551 y[1] (analytic) = -4.900526043570523 y[1] (numeric) = -4.900526043566384 absolute error = 4.139799614222284e-12 relative error = 8.447663735312027e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.06 Order of pole (given) = 0.5 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] = 10.07000099994761 y[1] (analytic) = -4.89958742526953 y[1] (numeric) = -4.899587425264725 absolute error = 4.805045250577678e-12 relative error = 9.807040539364084e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 1e-06 Radius of convergence (given) for eq 1 = 12.07 Order of pole (given) = 0.5 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] = 10.08000099994013 y[1] (analytic) = -4.898644664466342 y[1] (numeric) = -4.898644664460833 absolute error = 5.508482558980177e-12 relative error = 1.12449114730396e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.08 Order of pole (given) = 0.5 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] = 10.09000099993264 y[1] (analytic) = -4.897697764590182 y[1] (numeric) = -4.897697764583972 absolute error = 6.210143510543276e-12 relative error = 1.267971975617183e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.09 Order of pole (given) = 0.5 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] = 10.10000099992516 y[1] (analytic) = -4.896746729064601 y[1] (numeric) = -4.896746729057674 absolute error = 6.926903495241277e-12 relative error = 1.414592969272169e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.1 Order of pole (given) = 0.5 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] = 10.11000099991768 y[1] (analytic) = -4.895791561307493 y[1] (numeric) = -4.895791561299821 absolute error = 7.672085189369682e-12 relative error = 1.567077579446773e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.11 Order of pole (given) = 0.5 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] = 10.12000099991019 y[1] (analytic) = -4.894832264731106 y[1] (numeric) = -4.894832264722709 absolute error = 8.396838779844984e-12 relative error = 1.715449748982616e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.12 Order of pole (given) = 0.5 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] = 10.13000099990271 y[1] (analytic) = -4.893868842742054 y[1] (numeric) = -4.89386884273293 absolute error = 9.124256905579387e-12 relative error = 1.864426121495121e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.13 Order of pole (given) = 0.5 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] = 10.14000099989522 y[1] (analytic) = -4.892901298741341 y[1] (numeric) = -4.892901298731476 absolute error = 9.864997707609291e-12 relative error = 2.016185715854718e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.14 Order of pole (given) = 0.5 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] = 10.15000099988774 y[1] (analytic) = -4.891929636124362 y[1] (numeric) = -4.891929636113777 absolute error = 1.058531040598609e-11 relative error = 2.163831288132002e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.15 Order of pole (given) = 0.5 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] = 10.16000099988026 y[1] (analytic) = -4.890953858280927 y[1] (numeric) = -4.890953858269623 absolute error = 1.130384674752349e-11 relative error = 2.31117427705535e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.16 Order of pole (given) = 0.5 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] = 10.17000099987277 y[1] (analytic) = -4.889973968595266 y[1] (numeric) = -4.889973968583222 absolute error = 1.20436993711337e-11 relative error = 2.462937317965615e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.17 Order of pole (given) = 0.5 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] = 10.18000099986529 y[1] (analytic) = -4.888989970446053 y[1] (numeric) = -4.888989970433258 absolute error = 1.27950983142e-11 relative error = 2.617125089547407e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.18 Order of pole (given) = 0.5 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] = 10.1900009998578 y[1] (analytic) = -4.888001867206409 y[1] (numeric) = -4.888001867192864 absolute error = 1.354472090042691e-11 relative error = 2.771013855640769e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.19 Order of pole (given) = 0.5 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] = 10.20000099985032 y[1] (analytic) = -4.887009662243925 y[1] (numeric) = -4.88700966222962 absolute error = 1.430500162769022e-11 relative error = 2.92714821871703e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.2 Order of pole (given) = 0.5 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] = 10.21000099984284 y[1] (analytic) = -4.886013358920667 y[1] (numeric) = -4.886013358905637 absolute error = 1.502975521816552e-11 relative error = 3.076077389498917e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.21 Order of pole (given) = 0.5 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] = 10.22000099983535 y[1] (analytic) = -4.885012960593198 y[1] (numeric) = -4.885012960577418 absolute error = 1.577937780439242e-11 relative error = 3.230160888350294e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.22 Order of pole (given) = 0.5 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] = 10.23000099982787 y[1] (analytic) = -4.884008470612586 y[1] (numeric) = -4.884008470596052 absolute error = 1.653432946113753e-11 relative error = 3.385401471071504e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.23 Order of pole (given) = 0.5 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] = 10.24000099982038 y[1] (analytic) = -4.882999892324417 y[1] (numeric) = -4.882999892307168 absolute error = 1.724931308899613e-11 relative error = 3.532523749613493e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.24 Order of pole (given) = 0.5 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] = 10.2500009998129 y[1] (analytic) = -4.881987229068814 y[1] (numeric) = -4.881987229050798 absolute error = 1.801581106519734e-11 relative error = 3.690261817549584e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.25 Order of pole (given) = 0.5 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] = 10.26000099980542 y[1] (analytic) = -4.880970484180444 y[1] (numeric) = -4.880970484161669 absolute error = 1.877520361404095e-11 relative error = 3.846612814990923e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.26 Order of pole (given) = 0.5 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] = 10.27000099979793 y[1] (analytic) = -4.879949660988534 y[1] (numeric) = -4.879949660968999 absolute error = 1.953548434130425e-11 relative error = 4.003214315400733e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.27 Order of pole (given) = 0.5 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] = 10.28000099979045 y[1] (analytic) = -4.878924762816887 y[1] (numeric) = -4.878924762796578 absolute error = 2.030819956644336e-11 relative error = 4.162433436402955e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.28 Order of pole (given) = 0.5 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] = 10.29000099978296 y[1] (analytic) = -4.877895792983889 y[1] (numeric) = -4.877895792962799 absolute error = 2.108979657577947e-11 relative error = 4.323543894913446e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.29 Order of pole (given) = 0.5 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] = 10.30000099977548 y[1] (analytic) = -4.876862754802528 y[1] (numeric) = -4.876862754780647 absolute error = 2.188116354773229e-11 relative error = 4.486729409431225e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.3 Order of pole (given) = 0.5 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] = 10.310000999768 y[1] (analytic) = -4.875825651580406 y[1] (numeric) = -4.875825651557738 absolute error = 2.26680896275866e-11 relative error = 4.649077150705576e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.31 Order of pole (given) = 0.5 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] = 10.32000099976051 y[1] (analytic) = -4.874784486619749 y[1] (numeric) = -4.874784486596304 absolute error = 2.344524574482421e-11 relative error = 4.809493795915786e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.32 Order of pole (given) = 0.5 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] = 10.33000099975303 y[1] (analytic) = -4.873739263217423 y[1] (numeric) = -4.873739263193176 absolute error = 2.424727085781342e-11 relative error = 4.975085770551964e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.33 Order of pole (given) = 0.5 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] = 10.34000099974554 y[1] (analytic) = -4.872689984664948 y[1] (numeric) = -4.872689984639919 absolute error = 2.502886786714953e-11 relative error = 5.136560697667809e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.34 Order of pole (given) = 0.5 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] = 10.35000099973806 y[1] (analytic) = -4.871636654248506 y[1] (numeric) = -4.871636654222679 absolute error = 2.582645208804024e-11 relative error = 5.301391282027828e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.35 Order of pole (given) = 0.5 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] = 10.36000099973058 y[1] (analytic) = -4.870579275248959 y[1] (numeric) = -4.870579275222333 absolute error = 2.662581266577035e-11 relative error = 5.466662415511013e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.36 Order of pole (given) = 0.5 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] = 10.37000099972309 y[1] (analytic) = -4.86951785094186 y[1] (numeric) = -4.869517850914435 absolute error = 2.742517324350047e-11 relative error = 5.632010002426811e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.37 Order of pole (given) = 0.5 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] = 10.38000099971561 y[1] (analytic) = -4.868452384597468 y[1] (numeric) = -4.868452384569205 absolute error = 2.826272549327769e-11 relative error = 5.805279226452678e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.38 Order of pole (given) = 0.5 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] = 10.39000099970812 y[1] (analytic) = -4.867382879480755 y[1] (numeric) = -4.867382879451683 absolute error = 2.90718560336245e-11 relative error = 5.97279005031259e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.39 Order of pole (given) = 0.5 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] = 10.40000099970064 y[1] (analytic) = -4.866309338851425 y[1] (numeric) = -4.866309338821555 absolute error = 2.987032843293491e-11 relative error = 6.13818940659146e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.4 Order of pole (given) = 0.5 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] = 10.41000099969316 y[1] (analytic) = -4.865231765963926 y[1] (numeric) = -4.865231765933252 absolute error = 3.067324172434382e-11 relative error = 6.30457976101508e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.41 Order of pole (given) = 0.5 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] = 10.42000099968567 y[1] (analytic) = -4.864150164067456 y[1] (numeric) = -4.864150164035948 absolute error = 3.150812943886194e-11 relative error = 6.477622683530497e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.42 Order of pole (given) = 0.5 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] = 10.43000099967819 y[1] (analytic) = -4.863064536405987 y[1] (numeric) = -4.863064536373658 absolute error = 3.232880629866486e-11 relative error = 6.647825883585175e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.43 Order of pole (given) = 0.5 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] = 10.4400009996707 y[1] (analytic) = -4.861974886218267 y[1] (numeric) = -4.861974886185118 absolute error = 3.314859498004807e-11 relative error = 6.817928055122402e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.44 Order of pole (given) = 0.5 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] = 10.45000099966322 y[1] (analytic) = -4.860881216737838 y[1] (numeric) = -4.860881216703853 absolute error = 3.398525905140559e-11 relative error = 6.991583940455404e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.45 Order of pole (given) = 0.5 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] = 10.46000099965574 y[1] (analytic) = -4.859783531193049 y[1] (numeric) = -4.859783531158248 absolute error = 3.480060684069031e-11 relative error = 7.160937646156219e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.46 Order of pole (given) = 0.5 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] = 10.47000099964825 y[1] (analytic) = -4.858681832807066 y[1] (numeric) = -4.858681832771435 absolute error = 3.563105366310992e-11 relative error = 7.333481567473694e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.47 Order of pole (given) = 0.5 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] = 10.48000099964077 y[1] (analytic) = -4.857576124797885 y[1] (numeric) = -4.857576124761422 absolute error = 3.646238866394924e-11 relative error = 7.506292794426639e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.48 Order of pole (given) = 0.5 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] = 10.49000099963328 y[1] (analytic) = -4.856466410378346 y[1] (numeric) = -4.856466410341043 absolute error = 3.730260544898556e-11 relative error = 7.681017904143083e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.49 Order of pole (given) = 0.5 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] = 10.5000009996258 y[1] (analytic) = -4.855352692756143 y[1] (numeric) = -4.855352692718003 absolute error = 3.814015769876278e-11 relative error = 7.855280576355515e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.5 Order of pole (given) = 0.5 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] = 10.51000099961832 y[1] (analytic) = -4.85423497513384 y[1] (numeric) = -4.854234975094882 absolute error = 3.895817002330659e-11 relative error = 8.02560449233969e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.51 Order of pole (given) = 0.5 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] = 10.52000099961083 y[1] (analytic) = -4.853113260708878 y[1] (numeric) = -4.8531132606691 absolute error = 3.977795870468981e-11 relative error = 8.196379636703467e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.52 Order of pole (given) = 0.5 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] = 10.53000099960335 y[1] (analytic) = -4.851987552673593 y[1] (numeric) = -4.851987552632977 absolute error = 4.061639913288673e-11 relative error = 8.371084775455751e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.53 Order of pole (given) = 0.5 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] = 10.54000099959586 y[1] (analytic) = -4.850857854215224 y[1] (numeric) = -4.850857854173751 absolute error = 4.147349130789735e-11 relative error = 8.549723070499448e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.54 Order of pole (given) = 0.5 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] = 10.55000099958838 y[1] (analytic) = -4.849724168515927 y[1] (numeric) = -4.849724168473605 absolute error = 4.232170169871097e-11 relative error = 8.726620366053088e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.55 Order of pole (given) = 0.5 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] = 10.56000099958089 y[1] (analytic) = -4.848586498752786 y[1] (numeric) = -4.848586498709628 absolute error = 4.315747759164879e-11 relative error = 8.901043139634674e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.56 Order of pole (given) = 0.5 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] = 10.57000099957341 y[1] (analytic) = -4.847444848097828 y[1] (numeric) = -4.847444848053816 absolute error = 4.401190523140031e-11 relative error = 9.079402986641693e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.57 Order of pole (given) = 0.5 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] = 10.58000099956593 y[1] (analytic) = -4.846299219718031 y[1] (numeric) = -4.846299219673152 absolute error = 4.487876736902763e-11 relative error = 9.260420237039921e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.58 Order of pole (given) = 0.5 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] = 10.59000099955844 y[1] (analytic) = -4.845149616775339 y[1] (numeric) = -4.845149616729594 absolute error = 4.574474132823525e-11 relative error = 9.441347522035945e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.59 Order of pole (given) = 0.5 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] = 10.60000099955096 y[1] (analytic) = -4.843996042426673 y[1] (numeric) = -4.843996042380062 absolute error = 4.661071528744287e-11 relative error = 9.622368573218845e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.6 Order of pole (given) = 0.5 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] = 10.61000099954347 y[1] (analytic) = -4.842838499823943 y[1] (numeric) = -4.842838499776482 absolute error = 4.746070203509589e-11 relative error = 9.80018268972242e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.61 Order of pole (given) = 0.5 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] = 10.62000099953599 y[1] (analytic) = -4.841676992114059 y[1] (numeric) = -4.841676992065724 absolute error = 4.833466960008082e-11 relative error = 9.983042999110949e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 1e-06 Radius of convergence (given) for eq 1 = 12.62 Order of pole (given) = 0.5 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] = 10.63000099952851 y[1] (analytic) = -4.840511522438947 y[1] (numeric) = -4.840511522389753 absolute error = 4.919353813193084e-11 relative error = 1.016288008072835e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.63 Order of pole (given) = 0.5 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] = 10.64000099952102 y[1] (analytic) = -4.839342093935552 y[1] (numeric) = -4.839342093885482 absolute error = 5.007017023217486e-11 relative error = 1.034648290207063e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.64 Order of pole (given) = 0.5 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] = 10.65000099951354 y[1] (analytic) = -4.838168709735862 y[1] (numeric) = -4.838168709684922 absolute error = 5.093969690506128e-11 relative error = 1.052871447052997e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.65 Order of pole (given) = 0.5 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] = 10.66000099950605 y[1] (analytic) = -4.836991372966907 y[1] (numeric) = -4.836991372915112 absolute error = 5.17950127232325e-11 relative error = 1.070810525168718e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.66 Order of pole (given) = 0.5 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] = 10.67000099949857 y[1] (analytic) = -4.835810086750783 y[1] (numeric) = -4.83581008669811 absolute error = 5.267253300189623e-11 relative error = 1.089218394787858e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.67 Order of pole (given) = 0.5 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] = 10.68000099949109 y[1] (analytic) = -4.834624854204653 y[1] (numeric) = -4.834624854151089 absolute error = 5.356426413527515e-11 relative error = 1.1079301031742e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.68 Order of pole (given) = 0.5 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] = 10.6900009994836 y[1] (analytic) = -4.833435678440765 y[1] (numeric) = -4.833435678386317 absolute error = 5.444888984129648e-11 relative error = 1.126504901765059e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.69 Order of pole (given) = 0.5 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] = 10.70000099947612 y[1] (analytic) = -4.832242562566464 y[1] (numeric) = -4.832242562511097 absolute error = 5.536637814884671e-11 relative error = 1.145769845614723e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.7 Order of pole (given) = 0.5 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] = 10.71000099946863 y[1] (analytic) = -4.831045509684196 y[1] (numeric) = -4.831045509627955 absolute error = 5.624034571383163e-11 relative error = 1.164144398993833e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.71 Order of pole (given) = 0.5 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] = 10.72000099946115 y[1] (analytic) = -4.829844522891531 y[1] (numeric) = -4.829844522834386 absolute error = 5.714451134508636e-11 relative error = 1.183154262507711e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.72 Order of pole (given) = 0.5 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] = 10.73000099945367 y[1] (analytic) = -4.828639605281166 y[1] (numeric) = -4.828639605223112 absolute error = 5.805400604685929e-11 relative error = 1.202284924792577e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.73 Order of pole (given) = 0.5 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] = 10.74000099944618 y[1] (analytic) = -4.827430759940938 y[1] (numeric) = -4.827430759881971 absolute error = 5.896705346231101e-11 relative error = 1.221499725104964e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.74 Order of pole (given) = 0.5 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] = 10.7500009994387 y[1] (analytic) = -4.826217989953841 y[1] (numeric) = -4.82621798989396 absolute error = 5.988098905618244e-11 relative error = 1.240743563196472e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.75 Order of pole (given) = 0.5 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] = 10.76000099943121 y[1] (analytic) = -4.825001298398027 y[1] (numeric) = -4.825001298337238 absolute error = 6.078870740111597e-11 relative error = 1.259869244414478e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.76 Order of pole (given) = 0.5 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] = 10.77000099942373 y[1] (analytic) = -4.823780688346826 y[1] (numeric) = -4.82378068828513 absolute error = 6.16964257460495e-11 relative error = 1.279005612653458e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.77 Order of pole (given) = 0.5 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] = 10.78000099941625 y[1] (analytic) = -4.822556162868756 y[1] (numeric) = -4.822556162806135 absolute error = 6.262101948095733e-11 relative error = 1.298502648099933e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.78 Order of pole (given) = 0.5 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] = 10.79000099940876 y[1] (analytic) = -4.821327725027531 y[1] (numeric) = -4.821327724963985 absolute error = 6.354650139428486e-11 relative error = 1.318029078679193e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.79 Order of pole (given) = 0.5 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] = 10.80000099940128 y[1] (analytic) = -4.820095377882076 y[1] (numeric) = -4.820095377817485 absolute error = 6.459099921585221e-11 relative error = 1.340035707845954e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.8 Order of pole (given) = 0.5 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] = 10.81000099939379 y[1] (analytic) = -4.818859124486534 y[1] (numeric) = -4.818859124421025 absolute error = 6.550848752340244e-11 relative error = 1.359419020791204e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.81 Order of pole (given) = 0.5 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] = 10.82000099938631 y[1] (analytic) = -4.817618967890281 y[1] (numeric) = -4.817618967823841 absolute error = 6.644018668566787e-11 relative error = 1.379108375496188e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.82 Order of pole (given) = 0.5 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] = 10.83000099937883 y[1] (analytic) = -4.816374911137937 y[1] (numeric) = -4.816374911070553 absolute error = 6.73843203458091e-11 relative error = 1.399067173736452e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.83 Order of pole (given) = 0.5 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] = 10.84000099937134 y[1] (analytic) = -4.815126957269373 y[1] (numeric) = -4.815126957201048 absolute error = 6.832490129227153e-11 relative error = 1.418963651397016e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.84 Order of pole (given) = 0.5 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] = 10.85000099936386 y[1] (analytic) = -4.813875109319728 y[1] (numeric) = -4.813875109250473 absolute error = 6.925482409769756e-11 relative error = 1.438650204356554e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.85 Order of pole (given) = 0.5 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] = 10.86000099935637 y[1] (analytic) = -4.812619370319415 y[1] (numeric) = -4.812619370249229 absolute error = 7.01856350815433e-11 relative error = 1.458366633239168e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.86 Order of pole (given) = 0.5 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] = 10.87000099934889 y[1] (analytic) = -4.811359743294135 y[1] (numeric) = -4.811359743223025 absolute error = 7.111022881645113e-11 relative error = 1.477965328108369e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.87 Order of pole (given) = 0.5 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] = 10.88000099934141 y[1] (analytic) = -4.810096231264885 y[1] (numeric) = -4.810096231192827 absolute error = 7.205791519027116e-11 relative error = 1.498055584042286e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.88 Order of pole (given) = 0.5 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] = 10.89000099933392 y[1] (analytic) = -4.808828837247976 y[1] (numeric) = -4.808828837174966 absolute error = 7.301004245618969e-11 relative error = 1.518249971607896e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.89 Order of pole (given) = 0.5 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] = 10.90000099932644 y[1] (analytic) = -4.807557564255034 y[1] (numeric) = -4.807557564181048 absolute error = 7.398615053944013e-11 relative error = 1.538955062952113e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.9 Order of pole (given) = 0.5 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] = 10.91000099931895 y[1] (analytic) = -4.806282415293017 y[1] (numeric) = -4.806282415218082 absolute error = 7.493561327009957e-11 relative error = 1.559117979244486e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.91 Order of pole (given) = 0.5 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] = 10.92000099931147 y[1] (analytic) = -4.805003393364226 y[1] (numeric) = -4.805003393288342 absolute error = 7.58832996439196e-11 relative error = 1.579255901228196e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.92 Order of pole (given) = 0.5 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] = 10.93000099930399 y[1] (analytic) = -4.803720501466313 y[1] (numeric) = -4.803720501389462 absolute error = 7.685141412139274e-11 relative error = 1.59983109129547e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.93 Order of pole (given) = 0.5 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] = 10.9400009992965 y[1] (analytic) = -4.802433742592295 y[1] (numeric) = -4.802433742514485 absolute error = 7.780975863624917e-11 relative error = 1.620215141047389e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.94 Order of pole (given) = 0.5 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] = 10.95000099928902 y[1] (analytic) = -4.801143119730561 y[1] (numeric) = -4.801143119651816 absolute error = 7.87450105121934e-11 relative error = 1.640130455361484e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.95 Order of pole (given) = 0.5 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] = 10.96000099928153 y[1] (analytic) = -4.799848635864887 y[1] (numeric) = -4.799848635785176 absolute error = 7.971134863282714e-11 relative error = 1.660705465526913e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.96 Order of pole (given) = 0.5 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] = 10.97000099927405 y[1] (analytic) = -4.79855029397444 y[1] (numeric) = -4.798550293893744 absolute error = 8.069633850027458e-11 relative error = 1.681681623752184e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.97 Order of pole (given) = 0.5 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] = 10.98000099926657 y[1] (analytic) = -4.797248097033799 y[1] (numeric) = -4.797248096952114 absolute error = 8.168576925982052e-11 relative error = 1.702763075987833e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.98 Order of pole (given) = 0.5 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] = 10.99000099925908 y[1] (analytic) = -4.795942048012957 y[1] (numeric) = -4.795942047930287 absolute error = 8.266987094884826e-11 relative error = 1.723746244663232e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 1e-06 Radius of convergence (given) for eq 1 = 12.99 Order of pole (given) = 0.5 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 ( sqrt ( 0.1 * x + 0.2 ) ) ; Iterations = 1000001 Total Elapsed Time = 46.0 Seconds Elapsed Time(since restart) = 46.0 Seconds Time to Timeout = 9 Minutes 14.0 Seconds Percent Done = 100 %