System of differential equations

In mathematics, a system of differential equations is a finite set of differential equations. Such a system can be either linear or non-linear. Also, such a system can be either a system of ordinary differential equations or a system of partial differential equations.

Examples of systems of differential equations often emerge in the real world from systems that have inter-connected components that exchange quantities between each other. This could be water cascading down a set of tanks, bouncing masses connected with springs or heat transferring between different parts of a building.