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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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One solution of Laguerre's differential equation xy" +(1-x)y' + ny = 0 for n=0 is y(x) = 1. Using Eq. (7.67), develop a second, linearly independent solu- tion. Exhibit the logarithmic term explicitly. y2(x) = y1(x) | ↑ expl-2 P(x1)dx1] [y1 (x2)]² dx2.

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