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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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5) Consider the differential equation y"-2xy + Ay=0,-xxx where A is a constant. (i) Find the first four terms in each of two linearly independent solutions about x=0. (ii) Observe that if A is a nonnegative even integer, then one of the series so- lutions terminates and becomes a polynomial. Find the polynomial solutions for 0, 2, 4, 6, 8, and 10.

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