关于常系数的线性微分方程组的若干问题

ON SOME PROBLIEMS OF THE SYSTEM OF LINEER DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS

对一般形式的常系数的线性微分方程组．给出了用Ｄ矩阵的初等变换法．判定其相容性．当方程组有解时，求出其通解的一般方法．

In this paper, by using elementary transformation of D matrix, the compatible criterion for general system of differential equations with constant coefficients is given. When the system is solvable, the method finding its general solution is also given.