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]商丘师范学院计算机科学系,河南商丘476000

出　　处：《商丘师范学院学报》2004年第2期75-77,共3页Journal of Shangqiu Normal 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.本文从一般方程入手,选取特殊的角度———初值问题,推导出高阶变系数线性方程求解的一般公式.The existence of solutions for Linear equation with variable 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 非齐次线性微分方程 CRAMER法则 

分 类 号：O175.8[理学—数学]