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2003•Journal of Shaoguan UniversityRequires access

The Integrable Criterion of One Kind of New Second-order Variable Coefficient Linear Differential Equation

Zhang Xue-yuan

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Abstract

In this paper, the solution of second-order Linear differential equation which is important in theory and practice is studied, a practical integrable criterion of one kind of new second-order variable coefficient linear homogeneous and non-homogeneous equation and the integral expression formula of it's general solution are given, the solution of classical second-order constant coefficient linear differential equation is the special case of the result of this paper.

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What this paper is about

In this paper, the solution of second-order Linear differential equation which is important in theory and practice is studied, a practical integrable criterion of one kind of new second-order variable coefficient linear homogeneous and non-homogeneous equation and the integral expression formula of it's general solution are given, the solution of classical second-order constant coefficient linear differential equation is the special case of the result of this paper.

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Available abstract

In this paper, the solution of second-order Linear differential equation which is important in theory and practice is studied, a practical integrable criterion of one kind of new second-order variable coefficient linear homogeneous and non-homogeneous equation and the integral expression formula of it's general solution are given, the solution of classical second-order constant coefficient linear differential equation is the special case of the result of this paper.

Key concepts: Homogeneous differential equation, Linear differential equation, Mathematics, Constant coefficients, Integrable system, Mathematical analysis, Order (exchange), Differential equation

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