diff ( y , x , 1 ) = ( 1.0 - ( tanh ( sqrt ( 2.0 * x + 1.0 ) ) * tanh( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ; ! Digits := 32; max_terms := 30; ! x_start := 2.0; x_end := 3.0 ; diff(y,0,exact_soln_y(x_start)); glob_look_poles := true; glob_max_iter := 1000000; glob_max_h := 0.0001; ! exact_soln_y := proc(x) return(tanh(sqrt(2.0*x + 1.0))); end;