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 ...

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 ...

Differential and difference linear time-invariant (LTI) systems constitute an extremely important class of systems in engineering. They are used in circuit analysis, filter design, controller design, ...

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 ...

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 ...