Question: Consider an LTI system with input x[n] and output y[n] that satisfies the difference equation y[n] 5/2 y[n 1] + y[n 2]

Consider an LTI system with input x[n] and output y[n] that satisfies the difference equation

y[n] – 5/2 y[n – 1] + y[n – 2] = x[n] – x[n – 1].

Determine all possible values for the system’s impulse response h[n] at n = 0.

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