Laplace TransformsExpected Educational ResultsLaplace TransformsLaplace Transforms of Polynomial Functions, Investigation 03CC 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

Find the Laplace transform following functions:

- .
- .
- Use a pattern to determine the Laplace transform of , for .
- Explain what happens to the Laplace transform if .

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