Convolution Theorem is very powerful for finding inverse Laplace Transforms. This theorem states that: If and are piecewise continuous on and of exponential order, then
.
Let's apply Convolution Theorem to find
.
Let ,
so that ,
.
Thus
Recall from trigonometry:
, and
,
so
If we set ;
=
=
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Laplace Transforms: Convolution Theorem
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