Differential Equation
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A differential equation is a mathematics|mathematical equation for an unknown function (mathematics)|function of one or several Variable (mathematics)|variables that relates the values of the function itself and its derivatives of various orders. Differential equations play a prominent role in engineering, physics, economics, and other disciplines.Differential equations arise in many areas of science and technology, specifically whenever a Deterministic system (mathematics)|deterministic relation involving some continuously varying quantities (modeled by functions) and their rates of change in space and/or time (expressed as derivatives) is known or postulated. This is illustrated in classical mechanics, where the motion of a body is described by its position and velocity as the time value varies. Newton's laws of motion|Newton's laws allow one (given the position, velocity, acceleration and various forces acting on the body) to express these variables dynamically as a differential...
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