一类非齐次微分方程特解的矩阵求法  

Matrix Method for Special Solutions of a Class of Nonhomogeneous Differential Equations

作　　者：戴中林[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《高等数学研究》2013年第3期25-27,共3页Studies in College Mathematics

摘　　要：针对n阶非齐次线性微分方程,将其对应齐次方程的n个特解及其各阶导数连同自由项构成增广矩阵,并对该矩阵进行初等行变换,从而求得方程的一个特解.For an n-th order linear nonhomogeneous differential equation, a special solution can be obtained by using the augmented matrix formed by the n particular solutions of the corresponding homogeneous equation. Elementary row transformations are used in our approach.

关 键 词：非齐次线性方程 特解 常数变易法 初等变换法 增广矩阵 

分 类 号：O175.1[理学—数学]