# Laplace Transform Calculator

Laplace Transform Calculator is a free online tool that displays the transformation of the real variable function to the complex variable. CoolGyan’S online Laplace transform calculator tool makes the calculations faster and the integral change is displayed in a fraction of seconds.

## How to Use the Laplace Transform Calculator?

The procedure to use the Laplace transform calculator is as follows:

Step 1: Enter the function, variable of function, transformation variable in the input field

Step 2: Click the button “Calculate” to get the integral transformation

Step 3: The result will be displayed in the new window

### What is the Laplace Transform?

In Mathematics, the Laplace transform is an integral transformation, which transforms the real variable function “t” to the complex variable function. The main purpose of this transformation is to convert the ordinary differential equations into an algebraic equation that helps to solve the ordinary differential equations easily. Laplace transform has many applications in the field of Science and Engineering.

### Standard Form

The standard form to represent the Laplace transform is as follows:

$$F(s)=L(f(t))= \int_{0}^{\infty }e^{-st}f(t)dt$$

Where

f(t) is defined for all real numbers t ≥ 0

“s” is the complex number frequency parameter

## Frequently Asked Questions on Laplace Transform Calculator

### What is the main purpose of the Laplace Transform?

The main purpose of the Laplace transform is to transform the Ordinary Differential Equations (ODEs) into algebraic equations. This conversion helps to solve the ODEs easily.

### Mention the significance of the Laplace Transform

The Laplace transform gives useful techniques for determining certain types of differential equations when initial conditions are given, especially when the primary values are zero.

### Write down the applications of the Laplace transform.

The applications of the Laplace transform are:

• Circuit Analysis
• Signal processing
• Communication Systems