一类二阶常微分方程组特解形式的探讨

Discussion on the Particular Solutions to One Kind of Systems of Second Order Differential Equations with Constant Coefficients

采用待定系数法,给出了非齐次项为二次多项式与三角函数乘积的三维二阶常系数线性微分方程组的特解公式,并通过算例验证了特解公式的正确性。

By the method of undermined coefficients, 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 non-homogeneous terms of systems of differential equations are the form of quadratic polynomial multiplied by trigonometric function. By some examples, the particular solution formulas are validated.