### All Differential Equations Resources

## Example Questions

### Example Question #1 : The Laplace Transform

Find the Laplace Transform for the following function.

**Possible Answers:**

**Correct answer:**

Explanation:

To find the Laplace Transform for the following function

use the transforms for basic functions which state,

### Example Question #2 : The Laplace Transform

Find the Laplace transform of the periodic function.

**Possible Answers:**

**Correct answer:**

Explanation:

This particular piecewise function is called a square wave. The period of this function is the length at which it takes the function to return to its starting point.

For this particular function

it has a period of

.

and furthermore,

Using the Transform of a Periodic Function Theorem which states,

the problem can be solved as follows.

Paul

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### All Differential Equations Resources

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