常系数线性齐次微分方程组的求解问题,在任何一本微分方程教材中都有。它是微分方程教学大纲中的规定内容。一些教材中的解法是,首先肯定解的指数形式,然后应用待定系数法将解求出。在求解过程中,把特征根是单根和重根,分为两种情况进行计算。求重根所对应的解时, The problem of solving linear homogeneous differential equations with constant coefficients is found in any textbook of differential equations. It is the content of the syllabus in differential equations. The solution to some textbooks is to first affirm the exponent form of the solution and then apply the law of undetermined coefficients to find the solutions. In the process of solving, the eigenvalues ​​are single root and heavy root, which are divided into two cases. When seeking the solution corresponding to the root,