could someone please help me with the attached question.

3. Consider the initial value problem y' (t) = y, y(0) = 1. a. Write down (i.e., write the formula which describes one step, Un+1 = Un + ...) the second order Taylor method with step size h for this initial value problem. b. Write down the time stepping formula yn+1 = Un + ... for the modified Euler method h h Un+1 : = Un thf (tn + ,, Un+ ,f(tn, yn)), for this initial value problem. c. What is the difference between the two methods in one step? d. The difference between the second order Taylor method and the modified Euler method in one step of size h is O(hP). How big is p