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2. Using z-transform, solve the following difference equation: y[n] 2y[n 1] = x[n] With y(-1) = 0 a) x[n] = 8[n] (1 pt.) b)

2. Using z-transform, solve the following difference equation: y[n] 2y[n 1] = x[n] With y(-1) = 0 a) x[n] = 8[n] (1 pt.) b) x[n] = 8[n 1] (1 pt.) c) x[n] = u[n] (2 pts.) Remark: Give two possible solutions with different ROC in each case Answer [4 marks]

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