Problem 2: Solve the recurrence equation An = An−1+3An−2, for A0 = 0, A1 = 13. Follow the steps below.
(a) Characteristic polynomial and its roots:
(b) General solution:
(c) Equations for initial conditions and its solution:
(d) Final answer:
Given: A n = A n-1 + 3A n-2 (a) Characteristic polynomial: r 2 - r - 3 = 0 Characteristic roots: r 1 = (1+ √ 1 3... View the full answer