Question: Determine the solution to the BVP y'' - a^2 y = e^(-x) with conditions y(0) = 1 (y bounded as x approaches infinity), 0

Determine the solution to the BVP y'' - a^2 y = e^(-x) with conditions y(0) = 1 (y bounded as x approaches infinity), 0 <= x <= infinity.

1) Use a Fourier sine transformation to find the solution

2) write the solution using the inverse transform to the one we applied previously in part 1. Leave the answer in as an integral.

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