Question: Periodic Difference Equation Consider the periodic linear difference equation y= 2+1+x Suppose that x, 10, todd 10, t even. [0, ). Assume that || <

Periodic Difference Equation Consider the periodic linear difference equation y= 2+1+x Suppose that x, 10, todd 10, t even. [0, ). Assume that || < 1.

a. Prove that the difference equation given above has a unique solution (y) in /[0, ),

b. Describe an algorithm for computing this solution.

c. Find the solution for (y) that lies in [0, ).

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