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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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Given the difference equation where x(k + 2) + 3x(k + 1) + 2x(k) e(k) = x(0) = 1 √1, 10, k = 0 otherwise x(1) = -1 = e(k) (a) Solve for x(k) as a function of k. (b) Evaluate x(0), x(1), x(2), and x(3) in part (a). (c) Verify the results in part (b) using the power-series method. (d) Verify the results in part (b) by solving the difference equation directly.

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