摘要
给出了高维变系数线性齐次系统和高阶变系数线性齐次微分方程具有指数型解的充要条件,提供了探求变系数线性系统指数型解的一个新的实用的有效方法,推广了经典的常系数线性系统的解法.
In this paper, a necessary and sufficient condition for index special solution of high dimensional variable coefficient linear homogeneous system and high order variable coefficient linear homogeneous differential equation has been given. A new practical effective method of searching for variable cofficient linear system's index solution has been furnished. The solution of classical common cofficient linear system has been extended.
关键词
高维变系数
线性系统
微分方程
指数型待解
high-dimensional variable coefficient linear
high order variable
coefficient linear differential equation
index special solution
characteristic matrix
characteristic equation
common root
