一类具有x~α型解的变系数线性齐次微分方程的求解

Finding the Solution of Changeable Coefficient Linear Equal Power Differential Equation with x~α Type Solution

变系数的线性微分方程,一般说来都不容易求解,但是对有些特殊的变系数线性微分方程,则可以通过一定的方法进行求解.本文将介绍系数是多项式(或可变为多项式)的线性齐次微分方程内具有xα型解的求法.

Solution of linear differential equation with changeable coefficient,generally,is not easy to be solved,meanwhile,some specialities of which can be found through a certain method, and x α type solution of which with multinomical coefficient will be discussed in this article