Find Laplace transform of $x(t)y(t)$, $X(s)$ and $Y(s)$ are the laplace transform of $x$ and $y$. Is there any method to find the transform of there product.
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Not an exact duplicate of https://math.stackexchange.com/questions/12368/what-is-the-fourier-transform-of-the-product-of-two-functions , but same answer. I suggest marking as duplicate, given how similar Fourier and Laplace transforms are. – Acccumulation Oct 04 '17 at 14:56
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It's not simple in general, but with some cases you can use the definition $\int_{0}^{\infty}e^{-st}x(t)y(t)dt$ – Nosrati Oct 04 '17 at 15:50