一类二阶微分方程组的特解

The Particular Solutions to a Kind of Systems of Second Order Ordinary Differential Equation

采用待定矩阵法,给出了非齐次项为一次多项式与三角函数乘积的一类三维二阶常系数线性微分方程组的特解公式,并通过算例验证了微分方程组特解公式的正确性.

By the method of undermined matrix, this paper is devoted to provide a particular solution of finding a kind of systems of three-dimensional second order differential equations with constant coefficients. And the nonhomogeneous terms of differential equations are the form of linear polynomial multiplied by trigonometric function. By some examples, the particular solution formulas are validated.