三阶微分方程组特解的待定矩阵法  

Undetermined Matrix Method for the Special Solution of Three-order Differential Equations

作　　者：吴幼明 林晓莹 WU Youming;LIN Xiaoying(School of Mathematics and Big Data,Foshan University,Foshan,Guangdong 528000,China)

机构地区：[1]佛山科学技术学院数学与大数据学院

出　　处：《肇庆学院学报》2019年第5期45-48,共4页Journal of Zhaoqing University

摘　　要：基于矩阵微分方程理论,采用待定矩阵法和按列比较法,给出了非齐次项为三角函数与指数函数乘积的一类二维三阶常系数微分方程组的特解公式,利用算例验证了特解公式的正确性.Based on the theory of matrix differential equation,a particular solution of a kind of systems of two-dimensional-three-order differential equations with constant coefficients is given,in which the non-homogeneous terms of differential equations are the form of the trigonometric function multiplied exponential function with the undetermined matrix method and column comparison method.For example,the particular solution formulas are validated.

关 键 词：常系数 微分方程组 待定矩阵法 特解公式 

分 类 号：O241.8[理学—计算数学]