Exercise 36.4.1 (a) Find the general solution of the difference equation ym+2 ym-ll 29x = 4513- (b) Consider the initial conditions 3/1 = 1 and y2 = 2. Generate 3,13 and 3,14 using the difference equation directly. (c) Find the particular solution of the difference equation subject to the initial condtitions y1 = 1 and y2 = 2 and verify that it reproduces the terms yg and y4 calculated in part (b). Exercise 36.4.2 (a) Find the general solution of the difference equation yam2 _ yzrll _ 29:13 : (1):C Hint: For a particular sequence7 try y]; : cud1)\"? (b) Find the particular solution satisfying y3 : 1 and y6 : 10