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常系数非齐次线性微分方程组特解公式的新推导及其应用
引用本文:化存才. 常系数非齐次线性微分方程组特解公式的新推导及其应用[J]. 云南师范大学学报(自然科学版), 2004, 24(4): 1-5
作者姓名:化存才
作者单位:云南师范大学数学学院,云南,昆明,650092
基金项目:云南师范大学数学学院课程建设项目(2004),云南师范大学科研启动基金(2002),云南省引进高层次人才工作经费(2003)资助。
摘    要:首先利用推广的分部积分法导出一阶线性方程组的两个特解公式,然后将有关的结果应用到高阶线性方程(组),得出了特解的一些新公式。

关 键 词:分部积分  常系数线性微分方程组  特解
文章编号:1007-9793(2004)04-0001-05
修稿时间:2004-03-22

A new derivation and applications for the formulae of the particular solutions of the nonhomogenous linear differential equations with constant coefficients
HUA Cun-cai. A new derivation and applications for the formulae of the particular solutions of the nonhomogenous linear differential equations with constant coefficients[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2004, 24(4): 1-5
Authors:HUA Cun-cai
Abstract:Firstly, using an extended integral method by parts, two formulae of the particular solutions of the first-order nonhomogenous linear differential equations are derived. Secondly, the related results are applied to the higher-order linear differential equations with constant coefficients. Some new formulae of the particular solutions are thus obtained.
Keywords:Integral by parts  linear differential equations with constant coefficients  particular solutions
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