Learning Objectives:

__Math Tutoring on Laplace Transforms__

The **Laplace Transform** is a useful transform method for solving some **Differential Equations**. **Laplace Transforms** are also useful in the field of **Physics, Electrical Engineering, Optics, and Signal Processing.**

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*Definition of a Laplace Transform:*

Suppose that is a **piecewise continuous function** for The **Laplace Transform** of is

**L**

provided the integral converges.

So we can derive using **Laplace Transform** –

**L****L**

**L ^{-1}**

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**Hook Questions:**

*1. **Give the definition of **Laplace Transforms**.*

*2. **Give some application areas of **Laplace Transform**.*

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