关于三类新的高阶非线性常微分方程的求解定理

Solution seeking Formula of Three Kinds of New High order Nonlinear Differential Equations

采用函数迭代法 ,给出一个引理。借此提出三类新的高阶非线性常微分方程 ,反复利用函数的迭代转化为微分方程组的求解。再应用积分法 ,以获得原微分方程的通积分公式 。

By means of functional interative methods, this paper gives one steering formula and puts forth three kinds of new high order nonlinear differential equations. Then it transforms the repeated functional iteration into solution seeking of differenatial equation sets and by means of intergration it gets the expression of reducing into common denominator of original differential equations;thus proving equations are integral. By direct use of formula of reducing into common denominators, it simplifies the process of seeking solutions to relative equations.