numerical methods problem Thank you so much for solving thi

numerical methods problem :

Thank you so much for solving this qiestion...

Can the difference method {y_0 = alpha y_i +1 = y_i + 3h f(t_i, y_i), i = 0, 1, 2, ..., N - 1 be used to approximate the solution to the differential equation {y\' = f(t, y), t_0 lessthanorequalto t lessthanorequalto b y(t_0) = alpha ? What is its local truncation error? Here, h is the step size.

Solution

Yes we can use that difference method for approximate solution of given differential equation.

Truncated error is y at n+1 th approximate - y at n th approximate