关于二阶常微分方程组特解的探讨

Discussion of the particular solutions of second-order ordinary differential equation

利用待定系数法,在一类相当广泛的非齐次项的条件下,讨论了m维二阶非齐次常微分方程组的特解的存在性并给出了有解情况下的特解公式,文中给出了具体算例.

By applying the method of undetermined coefficient,this paper is devoted to finding a particular solution for a kind of systems of m-dimensional second-order ordinary differential equations. By two examples,the particular solution formulas are obtained.