非齐次欧拉-柯西微分方程的一种初等解法

An Elementary Method of Solving Non-homogeneous Euler-Cauchy Differential Equation

探讨了具有特殊非齐次项的非齐次欧拉-柯西方程的待定系数解法,给出了相应方程的特解形式,从而使常系数线性微分方程的相关理论在一类变系数线性微分方程上得到了推广.

This paper investigated the undetermined coefficients method to solve non-homogeneous Eu-ler-Cauchy equations with some special inhomogeneous terms, and offered the special solutions to these e-quations, Thereby making the relational theory of linear differential equations with constant coefficients generalized over a class of linear differential equations with variable coefficients.