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几类Riccati方程的求解
引用本文:范小勤.几类Riccati方程的求解[J].攀枝花学院学报,2009,26(3):78-80.
作者姓名:范小勤
作者单位:广州番禺职业技术学院基础课部,广东广州,511483
摘    要:根据黎卡提(Riccati)方程与二阶变系数微分方程的关系,给出了几个可用初等方法求解的黎卡提方程的类型,并通过实例说明所给类型的黎卡提方程的求解.

关 键 词:黎卡提方程  变换  二阶微分方程  求解

The Solution of Several Types of Riccati Equations
Fan Xiao-qin.The Solution of Several Types of Riccati Equations[J].Journal of Panzhihua University,2009,26(3):78-80.
Authors:Fan Xiao-qin
Institution:Basic Courses Department of Guangzhou Panyu Polytechnic;Guangzhou 511483;Guangdong
Abstract:In this paper,a few types of elementary methods that can be used in solving the Riccati equation are provided in accordance with the relationship between the second-order differential equations and variable coefficients.In addition,it illustrates through examples the solutions of Riccati equations of given types.
Keywords:Riccati equation  transform  second-order differential equations  solution  
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