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Problem 2: Solve the recurrence equation An = An1+4An2 +2An3, for A0 = 1, A1 = 1. A2 = 5 for n gt;= 3 Follow the steps below. (a) Characteristic...

Problem 2: Solve the recurrence equation An = An−1+4An−2 +2An−3, for A0 = 1, A1 = 1. A2 = 5 for n >= 3 Follow the steps below.

(a) Characteristic polynomial and its roots:

(b) General solution:

(c) Equations for initial conditions and its solution:

(d) Final answer

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