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几类CLAIRAUT型微分子方程的求解定理
引用本文:汤光宋. 几类CLAIRAUT型微分子方程的求解定理[J]. 聊城大学学报(自然科学版), 1994, 0(3)
作者姓名:汤光宋
作者单位:江汉大学
摘    要:给出了几类Clairaut(克莱罗)型微分方程,并运用n变换的技巧,提供了相应方程的通解(通积分)、奇解(如果存在的话)的表达式.所获结论是有关文献结果的深化与拓广.

关 键 词:Clairaut方程,推广,类型,双变换,通积分,奇解

THE SOLTION THEORY OF SOME CLASS CLAIRAUT TYPE DIFFERENTIAL EQUATION
Tang Guangsong. THE SOLTION THEORY OF SOME CLASS CLAIRAUT TYPE DIFFERENTIAL EQUATION[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 1994, 0(3)
Authors:Tang Guangsong
Affiliation:Hanjiang Unviversity
Abstract:In this paper, we give some class clairaut type differential equation, and apply the skill of thedouble eransformation. We provide the general solution of the differential equation (generalintegtal), and the expression of singular solution (if it exist). The conclusion we have is the cheepness and extension of some literature.
Keywords:Clairaut equation   Extension   Type   Double eransformation   General integral singular solution.
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