The Laplace transform is a powerful tool to solve linear time-invariant (LTI) differential equations. We have used the Fourier transform for the same purpose, but the Laplace transform, whether ...

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...

Functional differential equations encompass differential systems in which derivatives at any given time depend not only on the present state but also on past or distributed states, parameters or other ...

The college math I almost forgot connects to life's problemsI learned the Laplace transform in the engineering department at ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...