ii) (2 points) For smooth f with a Lipshitz constant L, let F(y) = f(t + h, y + hf (t, y)), verify that F is also Lipshitz with some Liphsitz constant independent of h for h small (say less than 2/L), and give an error estimate of e; = y; - y(t;) following similar derivations for the Euler methods.