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一类高阶变系数线性非齐次微分方程的解
引用本文:贾庆菊.一类高阶变系数线性非齐次微分方程的解[J].纯粹数学与应用数学,2014(3):234-239.
作者姓名:贾庆菊
作者单位:山西财经大学应用数学学院,山西太原030006
基金项目:国家自然科学基金(11126027); 山西财经大学校级教改项目(2013132); 山西财经大学校级教学团体项目
摘    要:利用高阶变系数之间的关系,通过适当的线性变换,得到了五阶变系数线性非齐次方程常系数化的条件,给出了一类高阶变系数线性非齐次微分方程的新解法.

关 键 词:高阶  变系数线性非齐次微分方程  线性变换  常系数线性非齐次微分方程

A solution of higher-order variable coefficient nonhomogeneous linear differential equation
Jia Qingju.A solution of higher-order variable coefficient nonhomogeneous linear differential equation[J].Pure and Applied Mathematics,2014(3):234-239.
Authors:Jia Qingju
Institution:Jia Qingju (Faculty of Applied Mathematics of Shanxi University Finance and Economics, Taiyuan 030006, China)
Abstract:The paper, by using higher-order relationship between of variable coefficient, through appropriate linear transformations of variables, and won five-order variable coefficients linear differential equation with constant sufficient conditions, gives a new solution to the higher-order variable coefficients linear non-homogeneous differential equations.
Keywords:higher-order  variable coefficients linear non-homogeneous differential equation  linear transformation  constants coefficients linear non-homogeneous differential equation  sufficient condition
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