二阶线性常微分方程可积的一个充分必要条件

A Sufficient And Necessay Condition For Integrability Of Two-order Linear Differential Equation

本文论证二阶线性常微分方程d2 ydx2 +p(x) dydx+q(x)y =0可积的充分必要条件是它可化成常系数二阶线性微分方程。

This paper deals with a sufficient and necessary condition for integrability of two-order linear differential equaitond\+2ydx\+2+p(x)dydx+q(x)y=0. the epuatin can be turn into constant coeffcient two-order linear differential eqation.\;