The Laplace transform is a tool in circuitry analysis, methods of design, and solving differential and integral equations. It is a method for solving linear constant-coefficient differential equations with prescribed initial conditions. The Laplace transform is one of the best-known integral transforms. It is defined by the following:

Usually, the use of Laplace transforms is effective only if you can also solve for the inverse problem. This is called the Inverse Laplace transform. In the instructions below, both the Laplace transform and the Inverse Laplace transform will be covered.