一类二阶常系数微分方程组的通解

The general solutions to one kind of systems of second order ordinary differential equation with constant coefficients

采用降阶和特征根 (欧拉 )方法 ,给出了一类三维二阶常系数微分方程组的通解公式 ,并通过算例与拉氏变换法进行了比较。

By the methods of reducing order and Euler's eigenvalues,we obtain the general solution formula to one kind of systems of three dimensional second order ordinary differential equation with constant coefficients.And by some examples,the methods used in this paper are compared with the method using Laplace Transform.