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非齐次线性微分方程的基本解组与通解
引用本文:程崇高,廖小勇.非齐次线性微分方程的基本解组与通解[J].黄冈师范学院学报,2009,29(6):4-6.
作者姓名:程崇高  廖小勇
作者单位:黄冈师范学院,数学与信息科学学院,湖北,黄州,438000
基金项目:湖北省教育厅重点科研资助项目 
摘    要:研究了非齐次线性微分方程解的基本性质,证明了其基本解组的存在性,并利用基本解组给出了非齐次线性微分方程的通解公式.

关 键 词:线性微分方程  基本解组  通解

Basic solutions and general solution of non-homogeneous linear differential equation
CHENG Chong-gao,LIAO Xiao-yong.Basic solutions and general solution of non-homogeneous linear differential equation[J].Journal of Huanggang Normal University,2009,29(6):4-6.
Authors:CHENG Chong-gao  LIAO Xiao-yong
Institution:(College of Mathematics and Information Science, Huanggang Normal University, Huangzhou 438000, Hubei,China)
Abstract:In this paper, we studied the basic property of non-homogeneous linear differential equation and proved Me existence of its basic solutions. Then we obtained its general solution with the help of the basic solutions.
Keywords:linear differential equation  basic solution  general solution
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