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Fourier Cosine Transform

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The problem is from Fourier Cosine and Sine Transforms, and Passage from Fourier Integral to Laplace Transform:

Solve using a cosine or sine transform.

u'' - 9u =50e^-3x (0<x<infinty)
u'(0) = 0, u(infinity)bounded

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Fourier cosine transforms are investigated.

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