The Laplace transform of some function is an integral transformation of the form:
The function is complex valued, i.e. .
As an example, find Laplace transform of the function .
To do this, we need to use the above formula and calculate the integral:
The Laplace transform is denoted as .
An important property of the Laplace transform is:
This property is widely used in solving differential equations because it allows to reduce the latter to algebraic ones.
Our online calculator, build on Wolfram Alpha system allows one to find the Laplace transform of almost any, even very complicated function.