The Laplace transform is defined as the integral:

This is for functions that are defined for t ≥ 0. The Laplace transform is widely used for solving ordinary differential equations. It has applications in the theory of electrical circuits, control systems, and communication systems. If you need to learn or review the basics of Laplace transforms, you may want to consult Shaum's Outline of Laplace Transforms by Murray Spiegel (McGraw-Hill, 1965).