Question 1:
Find the unit impulse response of the LTI system specified by the following difference equation
a. y (n + 1) - y (n) = x (n)
b. y (n + 2) - 4y(n + 1) + 4y(n) = 2x(n + 2) - 2x(n + 1)
Question 2:
Solve the difference equation given by
y (n + 2) + 6y(n + 1) + 9y(n) = 2x(n + 2) + 6x(n + 1)
y(-1) =-1/3 and y(-2) = -2/9 x(n) = 4-n u(n)