Suppose a discrete-time system is described by the following input-output difference equation: y[n] + 2y[n+2] = 2x[n-1] + x[n] Suppose the initial conditions are y[0] = 2, y[1] = 0 and the input is given by x[n] = u[n]. Compute the output y[n] for n = 2, 3, 4

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Suppose a discrete-time system is described by the following input-output difference
equation:
y[n] + 2y[n+2] = 2x[n-1] + x[n]

Suppose the initial conditions are y[0] = 2, y[1] = 0 and the input is given by x[n] = u[n].

Compute the output y[n] for n = 2, 3, 4.

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