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Problem 2: Solve the recurrence An = 4An1 + 21An2, with initial conditions A0 = 0, A1 = 3. (a) Characteristic polynomial and its roots: (b) General...

Problem 2: Solve the recurrence An = 4An−1 + 21An−2, with initial conditions A0 = 0, A1 = 3.

(a) Characteristic polynomial and its roots:

(b) General form of the solution:

(c) Initial condition equations and their solution:

(d) Final answer:

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