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 interconnected 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 using Newton's law of cooling.

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