# Laplace transforms

Solve (see in attachment) without using partial fraction decompositions.

Thanks you

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#### Solution Preview

b) L^-1 [ 2s/ {(s^2-1)}^2]

using

L^-1[F(s)] = t.L^-1[Integral (s to Infinity) F(k)dk]

Let's evaluate [Integral (s to Infinity) ...

#### Solution Summary

This is one example of a Laplace transform problem. The partial fraction decomposition is solved.

$2.19