diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ! Digits := 32; max_terms := 40; ! x_start := 1.4; x_end := 2.1 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_h := 0.0001; #glob_min_h := 0.01; #glob_min_h := 0.00000000001; #glob_max_h := 0.00001; # # Not Given = 0 # Real = 1 # Complex = 2 # No Pole = 3 # Impossible Eq = 4 # Some Pole Eq = 5 # glob_type_given_pole := 1; # Real Part array_given_rad_poles[1,1] := -2.0; # Imag Part array_given_rad_poles[1,2] := 0.0; # Order array_given_ord_poles[1,1] := 0.5; # Not Used array_given_ord_poles[1,2] := 0.0; ! exact_soln_y := proc(x) return(tan(sqrt(2.0*x + 1.0))); end;