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一阶变系数非线性微分子方程的可积类型
引用本文:甘欣荣,汤光宋.一阶变系数非线性微分子方程的可积类型[J].赣南师范学院学报,2000(6).
作者姓名:甘欣荣  汤光宋
作者单位:武汉财政进修学院!湖北武汉430051(甘欣荣),江汉大学!湖北武汉430019(汤光宋)
摘    要:借助变量替换法 ,求导法则 ,提出适当的条件 ,论证一阶变系数非线性微分方程的两类方程是可积的 ,且给出通解的表达式 ,获得的结论是相应文献结果的拓广

关 键 词:变系数非线性微分方程  变量替换法  可积类型  通解

The Integratable Types of Non linear Deformation Coeffilient First order Differential Equation
GAN Xin rong,TANG Guang song.The Integratable Types of Non linear Deformation Coeffilient First order Differential Equation[J].Journal of Gannan Teachers' College(Social Science(2)),2000(6).
Authors:GAN Xin rong  TANG Guang song
Abstract:On the basis of variable substitutional method,this article attempts to seek laws and prove the integratability about two types of equation in non linear deformation coefficient first order differential equation and therefore suggests the expression of general solution.Result:broadening of some relevant literatures to some extent.
Keywords:coefficient of deformation non  linear differential equation  variable substitutional method  integratable types  general solution
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