常微分方程的一个新的可积类型

A new integrable type of ordinary differential equation

在一定的条件下,通过函数变换将形如"s′(y)y′+p(x)s2(y)+q(x)s(y)+r(x)=0"的微分方程化为我们所熟悉的可积方程,得到一个新的实用的可积类型,推广了可积性结果,扩大了微分方程封闭求积的范围。

Ordinary differential equation's′(y)y′+p(x)s2(y)+q(x)s(y)+r(x)=0'is turned into integrable equation by linera transformation under a certain condition,and a new practical integrable type is derived and integrable results are extended.Thus the closed solvable range of ordinary differential equation was extended.