Laplace TransformsExpected Educational ResultsLaplace TransformsInverse Laplace TransformsInvestigation 09CC BY-NC-SA 4.0

**Author**: John J Weber III, PhD
**Corresponding Textbook Sections**:

**Section 7.2**– Definition of the Laplace Transform

**Objective 19–1**: I understand the Laplace transform as a map of a function onto a specific class of functions.**Objective 19–2**: I can use the definition of Laplace transform to find the Laplace Transform of a given any function.

Definition: Laplace Transforms

Let be a function on . The **Laplace Transform** of is the function defined as

Inverse Laplace transforms are procedurally difficult to compute; however, you should use your knowledge of Laplace transforms to find for the following Laplace transforms of :

- .
- .
- .

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**Last Modified**: Sunday, 8 November 2020 4:12 EDT