摘要
给出了求一类高阶非齐次线性微分方程(组)特解的矩阵解法.即由对应齐次微分方程(组)的n个特解以及非齐次微分方程(组)的自由项构成某线性方程组的增广矩阵,并对该增广矩阵进行初等行变换,即可求得非齐次微分方程(组)特解的一种简便方法.
The summary given to a class of non-homogeneous linear differential equations seek a particular solution method , will the corresponding non-homogeneous equation augmented matrix to elementary transformation in order to obtain the particular solution of nonhomogeneous linear differential equations.
出处
《大学数学》
2013年第6期125-129,共5页
College Mathematics
关键词
高阶非齐次线性方程(组)
特解
常数变易法
增广矩阵
初等变换法
non-homogeneous linear equation
particular solution
variation of constants
augmented matrix
elementary transformation
