一类常系数微分方程组的通解

General Solution to One Kind of Systems of Ordinary Differential Equation with Constant Coefficients

采用待定系数法,给出了一类非齐次项为二次多项式与指数函数之积的三维二阶常系数微分方程组的通解形式,并通过算例验证了特解公式的正确性。

By the method of undetermined coefficients, we obtain the general solution form to one kind of systems of three-dimensional second order ordinary differential equation with constant coefficients, and the non-homogeneous terms of system of differential equation are from of quadratic polynomial multiplied by exponential function. And by some examples, the particular solution formulas are validated.