##############ECHO OF PROBLEM################# ##############temp/sing7postode.ode################# diff ( y , x , 1 ) = neg ( 5.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; ! // BEGIN FIRST INPUT BLOCK Digits=64; max_terms=20; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(2.0); x_end=c(3.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=1; array_given_rad_poles[1][1]=c(6.0); // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(1.0)/ (c( x) - c(6.0) ) / ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )/ ( c(x) - c(6.0) )) ; } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 2 y[1] (closed_form) = -0.0009765625 y[1] (numeric) = -0.0009765625 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 Radius of convergence (given) for eq 1 = 4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4 Order of pole (three term test) = 4.94e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.009999999999999 y[1] (closed_form) = -0.0009888616207243456 y[1] (numeric) = -0.0009888616207243467 absolute error = 1.084202172485504e-18 relative error = 1.096414452500767e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.99 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.99 Order of pole (three term test) = 9.028e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019999999999998 y[1] (closed_form) = -0.001001347089010795 y[1] (numeric) = -0.001001347089010798 absolute error = 2.168404344971009e-18 relative error = 2.165487240905767e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.98 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.98 Order of pole (three term test) = 4.124e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999997 y[1] (closed_form) = -0.001014022207165264 y[1] (numeric) = -0.001014022207165268 absolute error = 3.686287386450715e-18 relative error = 3.635312284487205e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.97 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.97 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999996 y[1] (closed_form) = -0.001026890344544281 y[1] (numeric) = -0.001026890344544287 absolute error = 5.204170427930421e-18 relative error = 5.06789303802438e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.96 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.96 Order of pole (three term test) = 6.88e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999994 y[1] (closed_form) = -0.001039954939090468 y[1] (numeric) = -0.001039954939090474 absolute error = 6.288372600415926e-18 relative error = 6.046774109189446e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.95 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.95 Order of pole (three term test) = 3.141e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999993 y[1] (closed_form) = -0.00105321949890718 y[1] (numeric) = -0.001053219498907188 absolute error = 8.023096076392733e-18 relative error = 7.617686612066611e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.94 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.94 Order of pole (three term test) = 2.867e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999992 y[1] (closed_form) = -0.001066687603873435 y[1] (numeric) = -0.001066687603873445 absolute error = 9.540979117872439e-18 relative error = 8.944492354862404e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.93 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.93 Order of pole (three term test) = 2.616e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999991 y[1] (closed_form) = -0.001080362907300231 y[1] (numeric) = -0.001080362907300242 absolute error = 1.062518129035794e-17 relative error = 9.834826074239909e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 Radius of convergence (given) for eq 1 = 3.92 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.92 Order of pole (three term test) = 2.387e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08999999999999 y[1] (closed_form) = -0.001094249137629448 y[1] (numeric) = -0.001094249137629461 absolute error = 1.257674520083185e-17 relative error = 1.149349336301765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.91 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.91 Order of pole (three term test) = 4.354e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.099999999999989 y[1] (closed_form) = -0.001108350100176546 y[1] (numeric) = -0.001108350100176559 absolute error = 1.387778780781446e-17 relative error = 1.252112288852043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.9 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.9 Order of pole (three term test) = 7.942e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999988 y[1] (closed_form) = -0.001122669678918272 y[1] (numeric) = -0.001122669678918287 absolute error = 1.496198998029996e-17 relative error = 1.332715246635708e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.89 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.89 Order of pole (three term test) = 7.241e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999987 y[1] (closed_form) = -0.001137211838326699 y[1] (numeric) = -0.001137211838326716 absolute error = 1.691355389077387e-17 relative error = 1.487282608283483e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.88 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.88 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999986 y[1] (closed_form) = -0.001151980625250889 y[1] (numeric) = -0.001151980625250908 absolute error = 1.864827736675068e-17 relative error = 1.618801302555698e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.87 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.87 Order of pole (three term test) = 3.007e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999985 y[1] (closed_form) = -0.001166980170847565 y[1] (numeric) = -0.001166980170847585 absolute error = 2.038300084272748e-17 relative error = 1.746645003224308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.86 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.86 Order of pole (three term test) = 2.74e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999983 y[1] (closed_form) = -0.001182214692562179 y[1] (numeric) = -0.001182214692562201 absolute error = 2.233456475320139e-17 relative error = 1.889213938358045e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.85 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.85 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999982 y[1] (closed_form) = -0.001197688496161853 y[1] (numeric) = -0.001197688496161878 absolute error = 2.42861286636753e-17 relative error = 2.027750015258836e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.84 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.84 Order of pole (three term test) = 4.545e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999981 y[1] (closed_form) = -0.00121340597782167 y[1] (numeric) = -0.001213405977821695 absolute error = 2.55871712706579e-17 relative error = 2.108706544910261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.83 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.83 Order of pole (three term test) = 4.138e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.17999999999998 y[1] (closed_form) = -0.001229371626265861 y[1] (numeric) = -0.001229371626265888 absolute error = 2.775557561562891e-17 relative error = 2.257704263106733e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.82 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.82 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189999999999979 y[1] (closed_form) = -0.001245590024965498 y[1] (numeric) = -0.001245590024965527 absolute error = 2.949029909160572e-17 relative error = 2.367576690606734e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.81 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.81 Order of pole (three term test) = 6.854e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999978 y[1] (closed_form) = -0.001262065854394315 y[1] (numeric) = -0.001262065854394346 absolute error = 3.122502256758253e-17 relative error = 2.474119908946265e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.8 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.8 Order of pole (three term test) = 6.235e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999977 y[1] (closed_form) = -0.001278803894344371 y[1] (numeric) = -0.001278803894344404 absolute error = 3.295974604355933e-17 relative error = 2.577388619891359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.79 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.79 Order of pole (three term test) = 2.835e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999976 y[1] (closed_form) = -0.001295809026303291 y[1] (numeric) = -0.001295809026303326 absolute error = 3.491130995403324e-17 relative error = 2.694170919122929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.78 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.78 Order of pole (three term test) = 7.734e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999975 y[1] (closed_form) = -0.001313086235894904 y[1] (numeric) = -0.001313086235894941 absolute error = 3.707971429900425e-17 relative error = 2.823859795753126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.77 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.77 Order of pole (three term test) = 2.344e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999974 y[1] (closed_form) = -0.00133064061538514 y[1] (numeric) = -0.001330640615385179 absolute error = 3.924811864397526e-17 relative error = 2.949565659591361e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.76 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.76 Order of pole (three term test) = 4.26e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999972 y[1] (closed_form) = -0.001348477366255095 y[1] (numeric) = -0.001348477366255136 absolute error = 4.098284211995207e-17 relative error = 3.039193919417943e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.75 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.75 Order of pole (three term test) = 3.87e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999971 y[1] (closed_form) = -0.001366601801843274 y[1] (numeric) = -0.001366601801843317 absolute error = 4.293440603042598e-17 relative error = 3.141691015811335e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.74 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.74 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.26999999999997 y[1] (closed_form) = -0.001385019350059052 y[1] (numeric) = -0.001385019350059097 absolute error = 4.553649124439119e-17 relative error = 3.287787368634936e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.73 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.73 Order of pole (three term test) = 3.193e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279999999999969 y[1] (closed_form) = -0.001403735556169459 y[1] (numeric) = -0.001403735556169507 absolute error = 4.77048955893622e-17 relative error = 3.398424680467612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.72 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.72 Order of pole (three term test) = 2.898e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999968 y[1] (closed_form) = -0.001422756085661498 y[1] (numeric) = -0.001422756085661548 absolute error = 4.96564594998361e-17 relative error = 3.490159697805739e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.71 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.71 Order of pole (three term test) = 2.631e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999967 y[1] (closed_form) = -0.001442086727182233 y[1] (numeric) = -0.001442086727182285 absolute error = 5.204170427930421e-17 relative error = 3.608777703750949e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.7 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.7 Order of pole (three term test) = 7.161e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999966 y[1] (closed_form) = -0.001461733395558991 y[1] (numeric) = -0.001461733395559046 absolute error = 5.421010862427522e-17 relative error = 3.708618055041724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.69 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.69 Order of pole (three term test) = 4.331e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999965 y[1] (closed_form) = -0.001481702134902078 y[1] (numeric) = -0.001481702134902134 absolute error = 5.637851296924623e-17 relative error = 3.80498290724081e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.68 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.68 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999964 y[1] (closed_form) = -0.001501999121792497 y[1] (numeric) = -0.001501999121792556 absolute error = 5.833007687972014e-17 relative error = 3.883496070897071e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.67 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.67 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999963 y[1] (closed_form) = -0.001522630668557249 y[1] (numeric) = -0.001522630668557309 absolute error = 6.028164079019405e-17 relative error = 3.959045488510567e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.66 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.66 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999961 y[1] (closed_form) = -0.001543603226634841 y[1] (numeric) = -0.001543603226634904 absolute error = 6.288372600415926e-17 relative error = 4.073827063788276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.65 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.65 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.35999999999996 y[1] (closed_form) = -0.001564923390033785 y[1] (numeric) = -0.00156492339003385 absolute error = 6.461844948013606e-17 relative error = 4.129176539353854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.64 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.64 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369999999999959 y[1] (closed_form) = -0.001586597898886873 y[1] (numeric) = -0.00158659789888694 absolute error = 6.722053469410127e-17 relative error = 4.236771947149428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.63 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.63 Order of pole (three term test) = 4.801e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999958 y[1] (closed_form) = -0.001608633643104199 y[1] (numeric) = -0.001608633643104269 absolute error = 6.982261990806649e-17 relative error = 4.340492330704273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.62 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.62 Order of pole (three term test) = 8.694e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999957 y[1] (closed_form) = -0.001631037666127924 y[1] (numeric) = -0.001631037666127996 absolute error = 7.22078646875346e-17 relative error = 4.4271120273363e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.61 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.61 Order of pole (three term test) = 3.935e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999956 y[1] (closed_form) = -0.001653817168791919 y[1] (numeric) = -0.001653817168791994 absolute error = 7.459310946700271e-17 relative error = 4.510360085419327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.6 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.6 Order of pole (three term test) = 3.561e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999955 y[1] (closed_form) = -0.001676979513289526 y[1] (numeric) = -0.001676979513289603 absolute error = 7.719519468096792e-17 relative error = 4.603228248718646e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.59 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.59 Order of pole (three term test) = 3.222e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999954 y[1] (closed_form) = -0.001700532227252757 y[1] (numeric) = -0.001700532227252838 absolute error = 8.044780119842443e-17 relative error = 4.730742523379836e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.58 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.58 Order of pole (three term test) = 2.914e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999953 y[1] (closed_form) = -0.001724483007946414 y[1] (numeric) = -0.001724483007946497 absolute error = 8.283304597789254e-17 relative error = 4.803355301049533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.57 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.57 Order of pole (three term test) = 7.904e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999952 y[1] (closed_form) = -0.001748839726580664 y[1] (numeric) = -0.00174883972658075 absolute error = 8.543513119185775e-17 relative error = 4.885246480470839e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.56 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.56 Order of pole (three term test) = 2.382e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.44999999999995 y[1] (closed_form) = -0.001773610432745796 y[1] (numeric) = -0.001773610432745884 absolute error = 8.825405684032006e-17 relative error = 4.97595499050434e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.55 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.55 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.459999999999949 y[1] (closed_form) = -0.001798803358972952 y[1] (numeric) = -0.001798803358973043 absolute error = 9.128982292327947e-17 relative error = 5.075030712384398e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.54 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.54 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999948 y[1] (closed_form) = -0.001824426925424794 y[1] (numeric) = -0.001824426925424888 absolute error = 9.389190813724468e-17 relative error = 5.146378121742704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.53 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.53 Order of pole (three term test) = 7.025e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999947 y[1] (closed_form) = -0.001850489744720186 y[1] (numeric) = -0.001850489744720283 absolute error = 9.6710833785707e-17 relative error = 5.226229113759865e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.52 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.52 Order of pole (three term test) = 3.171e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999946 y[1] (closed_form) = -0.001877000626897113 y[1] (numeric) = -0.001877000626897212 absolute error = 9.974659986866641e-17 relative error = 5.314148457880829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.51 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.51 Order of pole (three term test) = 2.863e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999945 y[1] (closed_form) = -0.001903968584518205 y[1] (numeric) = -0.001903968584518309 absolute error = 1.0321604682062e-16 relative error = 5.42110030910718e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.5 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.5 Order of pole (three term test) = 5.166e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999944 y[1] (closed_form) = -0.001931402837923404 y[1] (numeric) = -0.00193140283792351 absolute error = 1.056012916000881e-16 relative error = 5.467595341924007e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.49 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.49 Order of pole (three term test) = 4.661e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999943 y[1] (closed_form) = -0.001959312820634416 y[1] (numeric) = -0.001959312820634525 absolute error = 1.088538981175446e-16 relative error = 5.55571815644519e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.48 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.48 Order of pole (three term test) = 4.203e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999942 y[1] (closed_form) = -0.00198770818491583 y[1] (numeric) = -0.001987708184915941 absolute error = 1.118896642005041e-16 relative error = 5.629079009162609e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.47 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.47 Order of pole (three term test) = 3.79e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999941 y[1] (closed_form) = -0.002016598807497875 y[1] (numeric) = -0.00201659880749799 absolute error = 1.149254302834635e-16 relative error = 5.698973432700723e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.46 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.46 Order of pole (three term test) = 6.831e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.549999999999939 y[1] (closed_form) = -0.002045994795466033 y[1] (numeric) = -0.002045994795466151 absolute error = 1.183948772354171e-16 relative error = 5.78666561116297e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.45 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.45 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999938 y[1] (closed_form) = -0.002075906492322844 y[1] (numeric) = -0.002075906492322965 absolute error = 1.209969624493823e-16 relative error = 5.828632594813665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.44 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.44 Order of pole (three term test) = 5.545e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999937 y[1] (closed_form) = -0.002106344484227472 y[1] (numeric) = -0.002106344484227597 absolute error = 1.249000902703301e-16 relative error = 5.929708611558796e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.43 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.43 Order of pole (three term test) = 4.993e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999936 y[1] (closed_form) = -0.002137319606418794 y[1] (numeric) = -0.002137319606418923 absolute error = 1.288032180912779e-16 relative error = 6.026390143264317e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.42 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.42 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999935 y[1] (closed_form) = -0.002168842949827943 y[1] (numeric) = -0.002168842949828075 absolute error = 1.318389841742373e-16 relative error = 6.07877044230871e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.41 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.41 Order of pole (three term test) = 4.045e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999934 y[1] (closed_form) = -0.002200925867886482 y[1] (numeric) = -0.002200925867886618 absolute error = 1.366094737331736e-16 relative error = 6.206909361484207e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.4 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.4 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999933 y[1] (closed_form) = -0.002233579983536603 y[1] (numeric) = -0.002233579983536743 absolute error = 1.405126015541214e-16 relative error = 6.290914253790757e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.39 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.39 Order of pole (three term test) = 3.273e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999932 y[1] (closed_form) = -0.00226681719644995 y[1] (numeric) = -0.002266817196450094 absolute error = 1.444157293750692e-16 relative error = 6.370859088295161e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.38 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.38 Order of pole (three term test) = 2.943e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999931 y[1] (closed_form) = -0.002300649690461922 y[1] (numeric) = -0.002300649690462071 absolute error = 1.487525380650112e-16 relative error = 6.465675269108216e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.37 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.37 Order of pole (three term test) = 5.29e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.63999999999993 y[1] (closed_form) = -0.002335089941228559 y[1] (numeric) = -0.002335089941228711 absolute error = 1.517883041479706e-16 relative error = 6.500319386760338e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.36 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.36 Order of pole (three term test) = 4.753e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999928 y[1] (closed_form) = -0.002370150724113346 y[1] (numeric) = -0.002370150724113501 absolute error = 1.5482407023093e-16 relative error = 6.532245762085382e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.35 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.35 Order of pole (three term test) = 4.27e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999927 y[1] (closed_form) = -0.002405845122311573 y[1] (numeric) = -0.002405845122311733 absolute error = 1.600282406588605e-16 relative error = 6.651643498360479e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.34 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.34 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999926 y[1] (closed_form) = -0.002442186535220136 y[1] (numeric) = -0.0024421865352203 absolute error = 1.639313684798083e-16 relative error = 6.712483510807321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.33 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.33 Order of pole (three term test) = 3.442e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999925 y[1] (closed_form) = -0.002479188687060952 y[1] (numeric) = -0.00247918868706112 absolute error = 1.687018580387445e-16 relative error = 6.804720387730492e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.32 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.32 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999924 y[1] (closed_form) = -0.002516865635766482 y[1] (numeric) = -0.002516865635766655 absolute error = 1.730386667286865e-16 relative error = 6.875165057271308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.31 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.31 Order of pole (three term test) = 2.771e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999923 y[1] (closed_form) = -0.002555231782136143 y[1] (numeric) = -0.00255523178213632 absolute error = 1.769417945496343e-16 relative error = 6.924686667826006e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.3 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999922 y[1] (closed_form) = -0.002594301879272721 y[1] (numeric) = -0.002594301879272903 absolute error = 1.817122841085705e-16 relative error = 7.004284488261298e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.29 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.29 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999921 y[1] (closed_form) = -0.002634091042308241 y[1] (numeric) = -0.002634091042308427 absolute error = 1.860490927985126e-16 relative error = 7.063123096743029e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.28 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.28 Order of pole (three term test) = 7.986e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.72999999999992 y[1] (closed_form) = -0.002674614758429077 y[1] (numeric) = -0.002674614758429267 absolute error = 1.903859014884546e-16 relative error = 7.118255101541312e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.27 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.27 Order of pole (three term test) = 7.154e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999919 y[1] (closed_form) = -0.002715888897210469 y[1] (numeric) = -0.002715888897210664 absolute error = 1.951563910473908e-16 relative error = 7.185728077751595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.26 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.26 Order of pole (three term test) = 3.204e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999917 y[1] (closed_form) = -0.002757929721270991 y[1] (numeric) = -0.00275792972127119 absolute error = 1.99926880606327e-16 relative error = 7.249165164157657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.25 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.25 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999916 y[1] (closed_form) = -0.002800753897257882 y[1] (numeric) = -0.002800753897258086 absolute error = 2.046973701652632e-16 relative error = 7.308652515512882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.24 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.24 Order of pole (three term test) = 2.567e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999915 y[1] (closed_form) = -0.002844378507174593 y[1] (numeric) = -0.002844378507174802 absolute error = 2.094678597241995e-16 relative error = 7.364275155217308e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.23 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.23 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999914 y[1] (closed_form) = -0.002888821060062303 y[1] (numeric) = -0.002888821060062518 absolute error = 2.142383492831357e-16 relative error = 7.416116984362998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.22 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.22 Order of pole (three term test) = 4.108e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999913 y[1] (closed_form) = -0.00293409950404762 y[1] (numeric) = -0.00293409950404784 absolute error = 2.194425197110661e-16 relative error = 7.479041505182182e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.21 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.21 Order of pole (three term test) = 7.346e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999912 y[1] (closed_form) = -0.002980232238769121 y[1] (numeric) = -0.002980232238769346 absolute error = 2.242130092700023e-16 relative error = 7.523340173066697e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.2 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.2 Order of pole (three term test) = 3.283e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999911 y[1] (closed_form) = -0.003027238128195882 y[1] (numeric) = -0.003027238128196112 absolute error = 2.294171796979327e-16 relative error = 7.578431890148549e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.19 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.19 Order of pole (three term test) = 5.866e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.81999999999991 y[1] (closed_form) = -0.00307513651385165 y[1] (numeric) = -0.003075136513851886 absolute error = 2.354887118638516e-16 relative error = 7.657829524091559e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.18 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.18 Order of pole (three term test) = 5.239e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999909 y[1] (closed_form) = -0.00312394722845881 y[1] (numeric) = -0.003123947228459051 absolute error = 2.411265631607762e-16 relative error = 7.718650333275164e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.17 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.17 Order of pole (three term test) = 4.678e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999907 y[1] (closed_form) = -0.003173690610016852 y[1] (numeric) = -0.003173690610017099 absolute error = 2.463307335887066e-16 relative error = 7.761649255010355e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.16 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.16 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999906 y[1] (closed_form) = -0.003224387516330628 y[1] (numeric) = -0.00322438751633088 absolute error = 2.519685848856312e-16 relative error = 7.81446347901672e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.15 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.15 Order of pole (three term test) = 3.724e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999905 y[1] (closed_form) = -0.00327605934000422 y[1] (numeric) = -0.003276059340004478 absolute error = 2.580401170515501e-16 relative error = 7.876539777549257e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.14 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.14 Order of pole (three term test) = 9.965e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999904 y[1] (closed_form) = -0.003328728023916928 y[1] (numeric) = -0.003328728023917192 absolute error = 2.641116492174689e-16 relative error = 7.934311464313856e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.13 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.13 Order of pole (three term test) = 5.923e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999903 y[1] (closed_form) = -0.003382416077198453 y[1] (numeric) = -0.003382416077198723 absolute error = 2.701831813833877e-16 relative error = 7.987875388978514e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.12 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.12 Order of pole (three term test) = 5.278e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999902 y[1] (closed_form) = -0.003437146591721059 y[1] (numeric) = -0.003437146591721335 absolute error = 2.753873518113181e-16 relative error = 8.012092136967173e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.11 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.11 Order of pole (three term test) = 7.053e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999901 y[1] (closed_form) = -0.003492943259127174 y[1] (numeric) = -0.003492943259127457 absolute error = 2.827599265842196e-16 relative error = 8.095176634929831e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.1 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.1 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.9099999999999 y[1] (closed_form) = -0.003549830388411622 y[1] (numeric) = -0.00354983038841191 absolute error = 2.883977778811442e-16 relative error = 8.124269227696489e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.09 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.09 Order of pole (three term test) = 3.728e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999899 y[1] (closed_form) = -0.003607832924078399 y[1] (numeric) = -0.003607832924078693 absolute error = 2.940356291780688e-16 relative error = 8.149923662365229e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.08 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.08 Order of pole (three term test) = 0 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999898 y[1] (closed_form) = -0.00366697646489275 y[1] (numeric) = -0.003666976464893051 absolute error = 3.005408422129818e-16 relative error = 8.195875950945649e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.07 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.07 Order of pole (three term test) = 2.951e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999896 y[1] (closed_form) = -0.003727287283250052 y[1] (numeric) = -0.00372728728325036 absolute error = 3.079134169858833e-16 relative error = 8.26105941362788e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.06 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.06 Order of pole (three term test) = 2.624e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999895 y[1] (closed_form) = -0.003788792345183917 y[1] (numeric) = -0.003788792345184231 absolute error = 3.135512682828079e-16 relative error = 8.275757542673861e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.05 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.05 Order of pole (three term test) = 6.996e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999894 y[1] (closed_form) = -0.00385151933103678 y[1] (numeric) = -0.003851519331037101 absolute error = 3.213575239247035e-16 relative error = 8.343656004400689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.04 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.04 Order of pole (three term test) = 8.288e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999893 y[1] (closed_form) = -0.003915496656817206 y[1] (numeric) = -0.003915496656817534 absolute error = 3.278627369596165e-16 relative error = 8.373464867829225e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.03 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.03 Order of pole (three term test) = 7.361e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999892 y[1] (closed_form) = -0.003980753496269057 y[1] (numeric) = -0.003980753496269392 absolute error = 3.348016308635238e-16 relative error = 8.41050899477486e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.02 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.02 Order of pole (three term test) = 6.535e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999891 y[1] (closed_form) = -0.004047319803678747 y[1] (numeric) = -0.004047319803679091 absolute error = 3.434752482434078e-16 relative error = 8.486486487457981e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3.01 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3.01 Order of pole (three term test) = 2.9e-14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99999999999989 y[1] (closed_form) = -0.004115226337447805 y[1] (numeric) = -0.004115226337448157 absolute error = 3.521488656232918e-16 relative error = 8.557217434647562e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 Radius of convergence (given) for eq 1 = 3 Order of pole (given) = 0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 3 Order of pole (three term test) = 5.144e-14 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = neg ( 5.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; Iterations = 1001 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100.2 %