What is specifications of Differential Equations in mathematics
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What is specifications of Differential Equations in mathematics

[From: ] [author: ] [Date: 12-03-05] [Hit: ]
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What is specifications of Differential Equations in mathematics?

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A differential equation is concerned as an equation or can say mathematical equation for given an unknown function of one or more variables which relates the function’s value itself & its derivatives in various orders. Differential equations play a prominent role in engineering economics physics, and other disciplines. ,
Differential equations arise in several areas of science and technology, mainlywhenever a deterministic relation including some continuously varying quantities which is modeled by functions and their rates of change in space or time which is expressed as derivatives is called or postulated. this is illustrated in classical mechanics, in that the motion of a body is mentioned by its position & velocity with the varying time. Newton's laws allow one to relate the position, velocity, acceleration & other forces acting on the body or state this relation as a differential equation for the unknown position of the body as a time function. In some of cases, this differential equation which is known an equation of motion may be solved explicitly.

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