diff( y , x , 1 ) = cos ( x ) / ( 2.0 * x + 1.0 ) - 2.0 * sin ( x ) / ( 2.0 * x + 1.0 ) / ( 2.0 * x + 1.0 ) ; ! Digits := 32; max_terms := 30; ! x_start := 0.1; x_end := 1.0 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_iter := 1000000; glob_max_h := 0.001; ! exact_soln_y := proc(x) return(sin(x)/(2*x+1)); end;