# Laplace transform of step function examples

Here, we will be discussing about Laplace transform of step function examples.

## Laplace Transform of a Piecewise Function (Unit Step Function)

The Laplace transform of f (t) = sin t is L {sin t} = 1/ (s^2 + 1). As we know that the Laplace transform of sin at = a/ (s^2 + a^2).

## Ex: Find the Laplace Transform of a Step Function (method #1)

First, rewrite in terms of step functions! To do this at each step you ‘add the jump’. That is, if the formula changes fromg 1 (t) tog 2 (t) att=c, then you will have a term of the formuc (t) (g 2 (t)−g

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## 4. Laplace Transforms of the Unit Step Function

Laplace Transforms of Piecewise Continuous Functions We’ll now develop the method of Example 8.4.1 into a systematic way to find the Laplace transform of a piecewise

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