Problem 4. Consider a causal LTI system whose input x[n] and output y[n] are related by the difference equation ● ay[n] + by[n 1] = cx[n - 2] Choose a, b, and c such that 0 < a < 1, and 0 <|b|<1, and 0 <|c| < 1, and a = b = c. • Find the impulse response of the system after replacing the a, b, and c coefficients with your selected values. • Is your system stable? Show your work and justify your answers.

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