ABSTRACT
This chapter presents some basic analytical and numerical methods for the solution of some classes of systems of differential equations. Differential equations, which relate a set of unknown functions with their derivatives, play an important role in many applications of science and engineering. The behavior and evolution of many scientific and engineering systems are described by equations which involve unknown functions and their derivatives. These are called differential equations, and methods for their solution play a central role in many disciplines. Differential equations are classified as ordinary differential equations (ODEs) and partial differential equations (PDEs). ODEs are equations which involve only one independent variable while PDEs involve several independent variables. Mathematical models which lead to systems of first order ordinary differential equations appear in many applications. When sati sodel equations contain second or higher order differential equations, then these equations can be rewritten as a system of first order equations.
