摘要
提出几类二阶二次微分方程 ,借用降价法、线性化法、首次积分法、积分法 ,将非线性微分方程化为线性微分方程 ,给出可积的判据及通解表达式 。
This paper puts forth several second order quadratic differential equations.By means of degradation method,linearization method and integral method,it transforms nonlinear differential into linear differential equation,then it gives integrrai eriteria and expression of general solution.Finally,it amplifies the integral type of second order quadratic differential equation.
出处
《长沙大学学报》
2004年第2期15-18,共4页
Journal of Changsha University
关键词
二阶二次微分方程
降阶法
线性化法
首次积分法
可积判据
通解公式
可积类型
second order quadratic differential equation
degradation method
linearization method
initial integral method
interior criteria
general solution expression
integral type.
