变系数线性方程的初值问题  

Initial Problems of Higher Order Non-homogeneous Linear Equation with Variable Coefficients

作　　者：刘鸿基[1] 

机构地区：[1]商丘师范学院,河南商丘476000

出　　处：《怀化学院学报》2003年第5期18-19,共2页Journal of Huaihua University

摘　　要：变系数线性微分方程 ,虽在理论上证明了解的存在性 ,但实际的求解远不能令人满意 ,没有一般的解法 .从一般方程入手 ,选取特殊的角度 --初值问题 。The existence of solutions for Linear equation with v ariable coefficients is proved in theory, but there is none universal method to solve a concrete equation. In this paper, we first consider the initial problem of higher order non-homogeneous Linear equation with variable coefficients, and then give a general formula for solutions of this initial problem.

关 键 词：变系数线性方程 初值问题 通解公式 标准形式 

分 类 号：O175.8[理学—数学]