# Definition of Laplace Transform

Introduction

Physical Meaning

Region of Convergence (RoC)

Poles and Zeros

## Introduction

Laplace Transform is a very useful mathematical tool, mainly used to solve differential equations. It converts the differential equations into algebraic form, which are then easy to be solved and then the solution is inversely converted, using Inverse Laplace Transform, to the form it should initially be.

# Laplace Transforms from the Definition

Example 1: Laplace Transform of a Constant

### Example 1: Laplace Transform of a Constant. # Laplace Transforms Using the Transformation Tables

### Example 1: # Inverse Laplace Transforms Using the Transformation Tables

### Example 1: # Solving Differential Equations Using Laplace Transform

## Introduction

Solving Differential Equations can become a very difficult task for large and complicated equations. Also solving systems of Differential Equations is a very difficult task. However, there is a tool that simplifies the calculations to something that can be relatively easy to calculate. This tool is the Laplace Transform.