diff ( y , x , 1 ) = arcsin(sqrt(0.1 * x + 0.2)); ! Digits := 32; max_terms := 30; ! x_start := 0.0; x_end := 0.5 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; glob_max_h := 0.0001; # # Not Given = 0 # Real = 1 # Complex = 2 # No Pole = 3 # Impossible Eq = 4 # glob_type_given_pole := 3; # Real Part array_given_rad_poles[1,1] := 0.0; # Imag Part array_given_rad_poles[1,2] := 1.0; # Order array_given_ord_poles[1,1] := 1.0; # Not Used array_given_ord_poles[1,2] := 0.0; ! exact_soln_y := proc(x) return(10.0 * (0.1 * x + 0.2) * arcsin(sqrt ( 0.1 * x + 0.2)) + 5.0 * sqrt( 0.1 * x + 0.2) * sqrt( 0.8 - 0.1 * x) - 5.0 * arcsin(sqrt( 0.1 * x + 0.2))); end;