n阶变系数非齐线性方程P(x,D)y=cose^x(或sine^x)的特解  

A Particular Solution of a Nonhomogeneous nth Order Linear Differential Equation P (x, D) y=cose^x (or sine^x ) with Variable Coefficients

作　　者：徐千里[1] 

机构地区：[1]益阳师范高等专科学校数学系,湖南益阳413049

出　　处：《益阳师专学报》1999年第6期13-16,共4页Journal of Yiyang Teachers College

摘　　要：利用Lagrange参数交易法和初等行变换相结合的方法，给出了n阶变系数非齐线性方程p（x，D）y=cosex（或sinex）的特解．A particular solution of the form p (x, D ) y = cosex (or sinex ) Where p (x, D ) is alinear differential operator is obtained by combining the Lagrang's method of variation of paraine-ters with elementary row operation.

关 键 词：Lagrange参数变易法 初等行变换 基本解组 特解 变系数非齐线性方程 常微分方程 

分 类 号：O175.1[理学—数学] O241.81[理学—基础数学]