一类n阶常系数非齐次微分方程特解的计算

The method to solve particular solution for a class of n order constant coefficient nonhomogeneour diefferential equation

给出了n阶常系数非齐次微分方程特解的一种简便计算方法.通过该方法可建立关于特解多项式中待定系数的线性递归方程组.从而确实特解中多项式的待定系数得到特解,减少了把特解代入微分方程的繁琐计算.

This paper presents a simple method to solve particular solution for a class of n order constant coefficient nonhomogeneous differential equation. A linear recurrence system of equations for polynomial of particular solution, then we obtain its partisular solution. It reduces the complicated calculation in the taking the particular solution into the differential equation.