Laplace Transforms: Example 1 - 4

Question:

For each of the following functions representing displacements find the Laplace transform, simplifying your answer as far as possible:

Answer:

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Alternatively, you can utilise the first shift theorem. You are able to ignore functions of e using this theorem and decrease the complexity of work. See below...

You see we arrive at the same answer without the complexity of performing a Laplace transform on e.

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