首页 | 本学科首页   官方微博 | 高级检索  
     检索      

常系数非齐次线性微分方程组的初等解法
引用本文:宋燕.常系数非齐次线性微分方程组的初等解法[J].数学学习,2010,13(3):17-20.
作者姓名:宋燕
作者单位:渤海大学数学系,辽宁锦州,121000 
基金项目:辽宁省教育厅科研项目 
摘    要:利用初等变换将常系数非齐次线性微分方程组化为由若干个相互独立的高阶常系数非齐次线性微分方程组成的方程组,再利用高阶常系数齐次线性微分方程的特征根法和非齐次方程的待定系数法求该方程组的基本解组及特解,最后通过初等变换求原方程组的基本解组及特解,从而可求出其通解.

关 键 词:常系数  非齐次  线性微分方程  高阶  初等变换

Elementary Solution to Systems of Inhomogeneous LDE with Constant Coefficients
SONG Yan.Elementary Solution to Systems of Inhomogeneous LDE with Constant Coefficients[J].Studies In College Mathematics,2010,13(3):17-20.
Authors:SONG Yan
Institution:SONG Yan (Department of Mathematics,Bohai University,Jinzhou, Liaoning, 121000, PRC)
Abstract:By elementary transformation, the systems 'of inhomogeneous linear differential equations with constant coefficients can be changed into some independent systems of higher order inhomogeneous linear differential equations with constant coefficients. Then, By the method of characteristic root of higher order homogeneous linear differential equation with constant coefficient and the method of undetermined coefficient of higher order inhomogeneous linear differential equation with constant coefficient, the fundamental set of solutions and the special solution of this system can be obtained. Finally, by the elementary transformation, the fundamental set of solutions and the special solution and then general solution of the primal systems can be obtained.
Keywords:systems of inhomogeneous linear differential equation  constant coefficient  elementary transformation  
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号