一类三阶矩阵微分方程的通解

General Solutions to the A-Class of Third-Order Matrix Differential Equation

基于矩阵微分方程理论,采用降阶和欧拉方法,给出了一类不含二阶导数项的二维三阶常系数齐次矩阵微分方程的通解公式,利用算例验证了通解公式的正确性.

Based on the matrix differential equation theory,by the methods of reduced order and Euler,the general solution to one kind of two-dimensional third order ordinary coefficient differential equations without second derivative are given,and the correctness of the solution is verified by an example.