The Laplace Transform is a way to transform a differential equation in terms of some variable into a function of the variable , known as the -domain.

This is because the Laplace Transform, denoted , transforms a differential equation into a much easier to solve algebraic equation, which is then inverted to get the solution in a very easy way for the equation.

The Laplace Transform is defined as
Most of the time you don't have to perform this terrible calculation by hand, rather we use tables of common laplace transform pairs to calculate