一类二阶常微分方程组的特解公式

The particular solutions to one kind of systems of second order differential equations with constant coefficients

采用待定系数法,给出了非齐次项为三角函数与指数函数乘积的三维二阶常系数线性微分方程组的特解公式,并通过算例验证了微分方程组的特解公式的正确性。

This paper is devoted to providing a particular solution to find a kind of systems of threedimensional second order differential equations with constant coefficients by means of Undetermined coefficients. The non-homogeneous terms of differential equations are the form of trigonometric function multiplied by exponential function. Through some examples, the particular solution formulas are validated.