An LTI discrete-time system is characterized by the difference equation y[n] + ay[n 1] + by[n

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An LTI discrete-time system is characterized by the difference equation

y[n] + ay[n − 1] + by[n − 2] = x[n]

Determine for which of the the following sets of coefficients the system is BIBO stable

(i) a = 2, b = 2,    (ii) a = 1, b = 0.5.

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