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For each of the following difference equations (i) y[n + 1] + 1.5y[n] = x[n] (ii) y[n...

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Electrical Engineering

For each of the following difference equations

(i) y[n + 1] + 1.5y[n] = x[n]

(ii) y[n + 1] + 0.8y[n] = x[n]

(iii) y[n + 1] - 0.8y[n] = x[n]

For the difference equations given in Problem 2.16:

(a) Find a closed-form solution for y[n] when x[ n] = 0 for alln and y[0] 2.

(b) Find a closed-form solution for y[n] when x[n] = u[n] and y[0] = 0.

(c) Find a closed-form solution for y[n] when x[n] = u[n] andy[0] = 2.

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