##############ECHO OF PROBLEM################# ##############temp/expt_lin_sinpostode.ode################# diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , sin ( x ) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=0; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(20.0); glob_subiter_method=3; glob_max_iter=1000; glob_upper_ratio_limit=c(1.11); glob_lower_ratio_limit=c(0.99); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(0.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = 0 y[1] (numeric) = 0 absolute error = 0 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.756 Order of pole (six term test) = 6.938 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (closed_form) = 0 y[1] (numeric) = 0.08472567736224891 absolute error = 0.08472567736224891 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.771 Order of pole (ratio test) = 1 Radius of convergence (three term test) for eq 1 = 1.701 Order of pole (three term test) = 0.008307 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (closed_form) = 0 y[1] (numeric) = 0.1619176777022698 absolute error = 0.1619176777022698 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.875 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (closed_form) = 0 y[1] (numeric) = 0.233082628596208 absolute error = 0.233082628596208 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.979 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4999999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 0.2995209194834352 absolute error = 0.2995209194834352 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.083 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (closed_form) = 0 y[1] (numeric) = 0.3623073271243318 absolute error = 0.3623073271243318 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.187 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.4223431491093542 absolute error = 0.4223431491093542 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.291 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.4803958443752075 absolute error = 0.4803958443752075 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 2.396 Order of pole (ratio test) = 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000002 y[1] (closed_form) = 0 y[1] (numeric) = 0.5371292710458405 absolute error = 0.5371292710458405 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1 y[1] (closed_form) = 0 y[1] (numeric) = 0.5931267346143593 absolute error = 0.5931267346143593 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.1 y[1] (closed_form) = 0 y[1] (numeric) = 0.6489084371627735 absolute error = 0.6489084371627735 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.2 y[1] (closed_form) = 0 y[1] (numeric) = 0.7049444724507349 absolute error = 0.7049444724507349 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.3 y[1] (closed_form) = 0 y[1] (numeric) = 0.761664191637776 absolute error = 0.761664191637776 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.400000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.8194625371307682 absolute error = 0.8194625371307682 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.500000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.8787037859284786 absolute error = 0.8787037859284786 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.600000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 0.9397230444951843 absolute error = 0.9397230444951843 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.700000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 1.002825784664923 absolute error = 1.002825784664923 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.800000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 1.068285696641426 absolute error = 1.068285696641426 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 1.900000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 1.136341153677619 absolute error = 1.136341153677619 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.000000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 1.207190625650868 absolute error = 1.207190625650868 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.100000000000001 y[1] (closed_form) = 0 y[1] (numeric) = 1.280987436106004 absolute error = 1.280987436106004 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.2 y[1] (closed_form) = 0 y[1] (numeric) = 1.35783431817036 absolute error = 1.35783431817036 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.3 y[1] (closed_form) = 0 y[1] (numeric) = 1.437778276276723 absolute error = 1.437778276276723 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.399999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 1.520806289560731 absolute error = 1.520806289560731 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.499999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 1.606842386915405 absolute error = 1.606842386915405 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.599999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 1.695746573848165 absolute error = 1.695746573848165 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 2.699999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 1.787315993420857 absolute error = 1.787315993420857 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.705 Order of pole (six term test) = 5.461 TOP MAIN SOLVE Loop x[1] = 2.799999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 1.881288560178998 absolute error = 1.881288560178998 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.692 Order of pole (six term test) = 5.372 TOP MAIN SOLVE Loop x[1] = 2.899999999999998 y[1] (closed_form) = 0 y[1] (numeric) = 1.977349126807778 absolute error = 1.977349126807778 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.716 Order of pole (six term test) = 5.55 TOP MAIN SOLVE Loop x[1] = 2.999999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 2.07513804456622 absolute error = 2.07513804456622 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.745 Order of pole (six term test) = 5.757 TOP MAIN SOLVE Loop x[1] = 3.099999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 2.174261781238805 absolute error = 2.174261781238805 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.748 Order of pole (six term test) = 5.741 TOP MAIN SOLVE Loop x[1] = 3.199999999999997 y[1] (closed_form) = 0 y[1] (numeric) = 2.274305086897245 absolute error = 2.274305086897245 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.731 Order of pole (six term test) = 5.557 TOP MAIN SOLVE Loop x[1] = 3.299999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 2.374844068722832 absolute error = 2.374844068722832 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.728 Order of pole (six term test) = 5.471 TOP MAIN SOLVE Loop x[1] = 3.399999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 2.475459466705559 absolute error = 2.475459466705559 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.754 Order of pole (six term test) = 5.585 TOP MAIN SOLVE Loop x[1] = 3.499999999999996 y[1] (closed_form) = 0 y[1] (numeric) = 2.575749419574809 absolute error = 2.575749419574809 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.784 Order of pole (six term test) = 5.713 TOP MAIN SOLVE Loop x[1] = 3.599999999999995 y[1] (closed_form) = 0 y[1] (numeric) = 2.675341073253922 absolute error = 2.675341073253922 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.791 Order of pole (six term test) = 5.653 TOP MAIN SOLVE Loop x[1] = 3.699999999999995 y[1] (closed_form) = 0 y[1] (numeric) = 2.773900502466904 absolute error = 2.773900502466904 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.783 Order of pole (six term test) = 5.464 TOP MAIN SOLVE Loop x[1] = 3.799999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 2.871140573389854 absolute error = 2.871140573389854 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.789 Order of pole (six term test) = 5.361 TOP MAIN SOLVE Loop x[1] = 3.899999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 2.96682655142429 absolute error = 2.96682655142429 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.815 Order of pole (six term test) = 5.391 TOP MAIN SOLVE Loop x[1] = 3.999999999999994 y[1] (closed_form) = 0 y[1] (numeric) = 3.060779432980894 absolute error = 3.060779432980894 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 3.834 Order of pole (six term test) = 5.362 TOP MAIN SOLVE Loop x[1] = 4.099999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 3.152877135946731 absolute error = 3.152877135946731 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.199999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 3.243053807349952 absolute error = 3.243053807349952 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.299999999999993 y[1] (closed_form) = 0 y[1] (numeric) = 3.331297591467583 absolute error = 3.331297591467583 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.399999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 3.417647245767793 absolute error = 3.417647245767793 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.499999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 3.50218799893152 absolute error = 3.50218799893152 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.599999999999992 y[1] (closed_form) = 0 y[1] (numeric) = 3.585047021382168 absolute error = 3.585047021382168 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.699999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 3.66638883261554 absolute error = 3.66638883261554 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.799999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 3.746410909774809 absolute error = 3.746410909774809 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.899999999999991 y[1] (closed_form) = 0 y[1] (numeric) = 3.825339696095532 absolute error = 3.825339696095532 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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] = 4.99999999999999 y[1] (closed_form) = 0 y[1] (numeric) = 3.903427142205577 absolute error = 3.903427142205577 relative error = -1 % Desired digits = 8 Estimated correct digits = 13 Correct digits = -16 h = 0.05 NO INFO (given) for Equation 1 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 ) = expt ( ( 0.2 * x + 0.3 ) , sin ( x ) ) ; Iterations = 99 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 20 Minutes 0.0 Seconds Percent Done = 102 %