一类n阶非齐次微分方程初值问题的解

An Explicit Solution to Initial Values Problems for a Class of N-th Order Non-homogeneous Differential Equation

关于常系数非齐次微分方程初值问题的显示解,比较常用的是用古典微分方程理论和组合理论,由解的叠加原理,给出初值问题的解法及解的表达式。文中用形式幂级数法,给出了一种n阶非齐次微分方程初值问题的解。

As for the explicit solution to initial values problems for a non-homogeneous differential equation, the traditional differential equation theory and portfolio theory are often applied. In this paper, by the method of formal power series, the author gives an explicit solution to initial problem of non-homogenous differential equation with constant coefficients.