常微分方程的两个新的可积类型

The New Integrable Kind of Ordinary Differential Equations

摘要: 提出了两类常微分方程f⁽ⁿ⁾(x)=Af^(n-1)((ax+b)/(cx+d))及f⁽ⁿ⁾(x)=(Aφ(x))/(f^(n-1)(g(x))),论证了它们都是可积的,获得的结果是对有关文献结论的推广。

Abstract: Gives two kind of orinary differential equatinos:f⁽ⁿ⁾(x)=Af^(n-1)((ax+b)/(cx+d)) and f⁽ⁿ⁾(x)=(Aφ(x))/(f^(n-1)(g(x))), proffs that they are integrable,the result is the generalization of some results in relevant papers.