常微分方程的两个新的可积类型

详细信息

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。
- 微分方程 /
- 可积类型 /
- 变量替换 /
- 求导法
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.
- differential equation /
- integrable kind /
- transformation of a variable /
- mathod of derivation