一类常系数非齐次线性微分方程组特解的代数解法

An Algebraic Particular Solution to a Class of Inhomogeneous Linear Differential Equations with Constant Coefficients

利用初等变换将二维常系数非齐次线性微分方程组化为二个相互独立的二阶常系数非齐次线性微分方程,再根据二阶常系数非齐次线性微分方程的求解公式得出该方程组的一组特解。

Elementary Transformation is used here to transform the 2-dimensional constant coefficient non-homogeneous linear differential equations into 2 separate 2-order constant coefficient non-homogeneous linear differential equations,therefore a group of particular solutions to the equations can be obtained according to the solving formula of 2-order constant coefficient non-homogeneous linear differential equation.