Find the integrating factor, the general solution, and the particular solution satisfying the given initial condition.y' + 8y = 2e-5x; y(0) = 2

A. I(x) = e8x; y = e-5x + Ce-8x; y = e-5x + e-8x
B. I(x) = e2x; y = - e-3x + Ce-2x; y = - e-3x + e-2x
C. I(x) = e2x; y = - e-3x + Ce-2x; y = - e3x + e2x
D. I(x) = e8x; y = e-5x + Ce-8x; y = e5x + e8x


Answer: A

Mathematics

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