Apply the method of Exercise 10.1.21 to solve the following iterative equations: (a) u(k+2) = -u(k+1) +

Question:

Apply the method of Exercise 10.1.21 to solve the following iterative equations:
(a) u(k+2) = -u(k+1) + 2u(k), u(0) = 1, u(1) = 2
(b) 12u(k+2) = u(k+1) + u(k), u(0) = -1, u(1) = 2
(c) u(k+2) = 4u(k+1) + u(k), u(0) = 1, u(1) = -1
(d) u(k+2) = 2u(k+1) + -2u(k), u(0) = 1, u(1) = 3
(e) u(k+3) = 2u(k+2) - u(k+1), -2u(k)
u(0) = 0, u(1) + 2, u(2) = 3
(f) u(k+3) = -u(k+2) + 2u(k+1) - 2u(k)
u(0) = 0, -u(1) = 1, u(2) = 1