Use the convolution theorem to find the inverse Laplace transform of the given function.
The inverse Laplace transform for the given function by using the convolution theorem is.
Let and be piecewise continuous on and of exponential orderand set, then,
Consider the given equation,
Take inverse Laplace transform on both sides,
Hence, the convolution formula is,, where
Thus, the equationcan be written as,
Therefore, the inverse Laplace transform for the given function is.
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