Solve y'+4y+5$\int_0^x y dx $ = e^{-x}
y(0) = 0
I have tried deriving both sides first, but then come to the issue that we don't know what y'(0) equals so we can't solve for L[y]. Similarly, I tried taking the Laplace Transform of both sides but will run into the problem of having y in the final equation of the form L[y] = ...*y.