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 ...

First Order Systems First Order Systems First-order systems are those which can be described by first-order differential equations. A common example is the RC circuit. You will need Adobe Acrobat ...

Numerical methods for systems of first order ordinary differential equations are tested on a variety of initial value problems. The methods are compared primarily as to how well they can handle ...

Moreover, innovative methods like the S–function approach have been introduced to systematically uncover first integrals in rational second order ordinary differential equations, successfully ...

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 ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...