运用矩阵消元法求解常系数线性微分方程组  

Using Matrix Method of Elimination to Solve Linear Differential Equations with Constant Coefficients

作　　者：路玉梅[1] 冯依虎[1] 

机构地区：[1]亳州师范高等专科学校,安徽亳州236800

出　　处：《陇东学院学报》2015年第5期1-4,共4页Journal of Longdong University

基　　金：安徽省教育厅高校自然科学重点研究项目(KJ2015A347);亳州师范高等专科学校资助项目(BSKY201431)

摘　　要：运用矩阵消元法求解常系数线性微分方程组,包括常数变易法、待定系数法及拉普拉斯变换法等。如同求解线性代数方程组那样,把线性代数中的矩阵消元法解方程组的思想运用到常系数线性微分方程组中,用初等行变换化D矩阵为与之等价的阶梯形矩阵,使求解变得灵活和简便。This study applies matrix fire element method including constant variation method ,pending coefficient method and Laplace transform method to solving constant coefficient linear differential equations. As to treat with a linear system of algebraic equations ,the matrix of linear algebra in the fire element method is taken into the con- sideration of solving constant coefficient linear differential equations/To be precisely ,the elementary row transfor- mation of matrix D is considered as the equivalent in the form of a ladder matrix,which makes the solutions flexi- ble and convenient.

关 键 词：常系数 线性 微分方程组 矩阵消元法 D矩阵 

分 类 号：O175.1[理学—数学]