常系数线性齐次方程组求解的一个简便方法

ASimple and Convenient Method for the Splution of System of Constant Coefficient Linear Homogeneus Ordinary Differential Equations

本文重点给出了常系数线性齐次方程组dy/dx=AY,当矩阵A的特征根有重根时,求该 特征根对应特解的简便方法:它与常规方法相比,可大量简化运算。

A simple and convenient method for the solution of the system of constant coefficient linear homo- geneous ordinary differential equations dy/dx = AY is obtained when matrix A has multiple characteristic roots. It is more simple and convenient than the usual methods.