追赶法求解一阶常系数线性非齐次微分方程组  

Using Chasing Method to Solve First Order Constant Coefficient non Homogeneous Linear Differential Equations

作　　者：张秋生[1] 

机构地区：[1]新乡职业技术学院,河南新乡453006

出　　处：《科技通报》2013年第10期4-6,共3页Bulletin of Science and Technology

基　　金：河南省社科联;河南省经团联调研课题(SKL-2011-2435)

摘　　要：针对一类特殊形式的一阶常系数线性非齐次微分方程组缺乏理论求解方法的现实,用数值代数中的追赶法为主要方法,辅之以待定系数法,并结合高等代数和常微分方程的相关理论与方法,对此进行理论研究,最终给出了具体的解决方法。Aiming at a kind of special form of first order constant coefficient non homogeneous linear differential equation group is lack of theoretical methods to solve reality, using numerical algebra of chasing method as the main method, complemented by the method of undetermined coefficients, and the combination of Higher Algebra and differential equa- tion of the relevant theories and methods, this problem to carry out theoretical research, finally given the concrete solu- tion.

关 键 词：追赶法 常微分方程 待定系数法 可逆矩阵 非齐次 

分 类 号：O172.1[理学—数学]