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一阶Lagrange微分方程的通解及在建模中的应用
引用本文:范中广,王明建.一阶Lagrange微分方程的通解及在建模中的应用[J].西安文理学院学报,2010,13(2):50-52.
作者姓名:范中广  王明建
作者单位:郑州师范学院数学系,河南郑州450044
基金项目:河南省教育厅"十五"教育科学规划重点课题项目 
摘    要:给出一阶Lagrange微分方程通解的两种求法,探讨了Lagrange方程和Clairaut方程的关系,并举例说明Lagrange方程在具体问题和数学建模中的应用.

关 键 词:Lagrange微分方程  Clmraut方程  数学建模

Ordinary Solution of Lagrange Differential Equation and Its Application in the Mathematical Model
FAN Zhong-guang,WANG Ming-jian.Ordinary Solution of Lagrange Differential Equation and Its Application in the Mathematical Model[J].Journal of Xi‘an University of Arts & Science:Natural Science Edition,2010,13(2):50-52.
Authors:FAN Zhong-guang  WANG Ming-jian
Institution:(Department of Mathematics ,Zhengzhou Normal University,Zhengzhou 450044, China)
Abstract:This paper studies two methods of ordinary solution of lagrange differential equation, discusses the relation between differential lagrange equation and clairaut equation, and gives examples in the application of lagrange equation in the mathematical model.
Keywords:Lagrange differential equation  Clairaute equation  mathematical model
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