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阶线性非齐次常微分方程积分因子法及其应用
引用本文:冯大雨.阶线性非齐次常微分方程积分因子法及其应用[J].吉首大学学报(自然科学版),2012,33(1):18-20.
作者姓名:冯大雨
作者单位:(辽宁建筑职业技术学院基础部,辽宁 辽阳 111000)
基金项目:Supported by the Research Programs of Liaoning Provincial Institute of Higher Education(GHYB110175)
摘    要:为能更简洁地求解1阶线性非齐次常微分方程,对1阶线性非齐次常微分方程的积分因子法进行了探讨,并结合实例给出了该方法的具体求解过程,该过程较常数变易法来得简单且应用广泛.

关 键 词:线性非齐次常微分方程  积分因子  求解方法

Integratal Method Factor for Solving First Order Linear Non-Homogeneous Ordinary Differential Equations and Its Application
FENG Da-yu.Integratal Method Factor for Solving First Order Linear Non-Homogeneous Ordinary Differential Equations and Its Application[J].Journal of Jishou University(Natural Science Edition),2012,33(1):18-20.
Authors:FENG Da-yu
Institution:(Department of Basic Courses,Liaoning Technical College of Construction,Liaoyang 111000,Liaoning China)
Abstract:In order to solve the first order linear non-homogeneous ordinary differential equations easily,the integratal factor method is investigated.The concrete procedures of some practical examples using the integratal method factor are given,which are simpler than that of constants variation and can be widely used.
Keywords:linear non-homogeneous ordinary differential equation  integratal factor  solving method
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