Introduction to Laplace Transform
Laplace Transform is an integral transform that converts a function of a real variable t, in the time domain to a function of a complex variable s (in the complex frequency domain, also known as s-domain, or s-plane). The Laplace transform has many applications in science and engineering because it is a tool for solving differential equations. It transforms Ordinary differential equations into algebraic equations and convolution into multiplication. For suitable functions f, the Laplace transform is the integral as shown below.
Reference:
https://en.wikipedia.org/wiki/Laplace_transform