Study_on_Transformation_of_Partial_Differential_Equation_Into_Canonical_Form_and_Their_Solution

May 1st, 2015
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Differential equations arise in many areas of science and technology; whenever a deterministic relationship involving some continuously changing quantities modeled by functions) and their rates of change (expressed as derivatives)is known or postulated.

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Study on Transformation of Partial Differential Equation Into Canonical Form and Their Solution.CHAPTER 11.1.Introduction Differential equations arise in many areas of science and technology; whenever a deterministic relationship involving some continuously changing quantities modeled by functions) and their rates of change (expressed as derivatives)is known or postulated. This is illustrated by classical mechanics, where the motion of a body is described by its position, velocity, acceleration and various forces ting on the body and state this relation as a differential equation for the unknown position of the body as a function of time. In many cases, this differential equation may be solved, yielding the law of motion. Canonical forms are mathematically studied from several different perspectives, mostly concerned with their solutions, functions that make the equatio

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