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categoryهندسة الحاسبات schoolبكالوريوس event_available2026-07-15

السؤال

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Determine the total solution for n ≥0 of the difference equation: - - y[n] – 0.3y[n − 1] – 0.04y[n – 2] = x[n] + 2x[n − 1] - - with the initial condition y[-1] = 2 and y[-2] = 1, when the forcing function is x[n] = 3nu[n]. (a) Solve this problem by finding the homogeneous and particular solutions. (b) Solve this problem by finding the zero input and zero state solutions. (c) Show (either analytically or graphically) that your two solutions are the same.

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