2009Journal of Chongqing University of Arts and SciencesRequires access

Remark on general solution of homogeneous differential equation

Mao Yi-bo

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Abstract

In this paper the general solution of homogeneous differential equation was investigated.By means of properties of homogeneous function and integrating factor,one method of general solution for special homogeneous differential equation is obtained.At the same time,homogeneous ordinary differential equation and aptitude equation are generated to partial differential equation in this paper,and similar conclusion is followed.

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What this paper is about

In this paper the general solution of homogeneous differential equation was investigated.By means of properties of homogeneous function and integrating factor,one method of general solution for special homogeneous differential equation is obtained.At the same time,homogeneous ordinary differential equation and aptitude equation are generated to partial differential equation in this paper,and similar conclusion is followed.

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Available abstract

In this paper the general solution of homogeneous differential equation was investigated.By means of properties of homogeneous function and integrating factor,one method of general solution for special homogeneous differential equation is obtained.At the same time,homogeneous ordinary differential equation and aptitude equation are generated to partial differential equation in this paper,and similar conclusion is followed.

Key concepts: Homogeneous differential equation, Homogeneous, Exact differential equation, First-order partial differential equation, Mathematics, Differential equation, Universal differential equation, Integrating factor

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