特殊结构的一阶线性微分方程组的解法  

Method of Solving First Order Linear Differential Equations with Special Structure

作　　者：朱艳玲[1] ZHU Yanling(School of Statistics and Applied Mathematics,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学统计与应用数学学院

出　　处：《宿州学院学报》2019年第5期78-80,84,共4页Journal of Suzhou University

基　　金：安徽省教育厅重大教学研究项目(2017jyxm0196)

摘　　要：给出了四类特殊结构的n元一阶线性微分方程组的简单求解方法;并考虑二元一阶常系数线性微分方程组,通过求解对应的一阶线性微分方程,或转化为二阶常系数线性微分方程求解。与经典教材上所给的一般情形下常数变异法相比,该求解方法过程简便,且涉及的线性代数知识很少,更加利于理解和掌握。Simple method of solving four special structure first order linear differential equations with n variables is given;and by solving the corresponding first order linear differential equations,or the transformed second order linear differential equation,the method of solving first order linear differential equations with constant coefficients and two variables is presented. Compared with the method of variation of constant given in classic textbooks,the method list in this paper is simple and with little knowledge of linear algebra.

关 键 词：一阶线性微分方程组 一阶线性微分方程 二阶线性微分方程 

分 类 号：O175.14[理学—数学]