常系数齐线性微分方程组的一种解法

A Way of Constant Coefficient Homogeneous Linear Differential Equations

从广义特征向量的定义出发,给出了常系数齐线性微分方程组的一基本解组的形式,运用此基本解组形式解常系数齐线性微分方程组比较简单.

Basing on the definition of generalized eigenvalue,the author finds out the basic solutions of constant coefficient homogeneous linear differential equations.By using these solutions,it will become simple and clear to solve the problem of this kinds of equations.