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关于一阶常微分方程奇解的讨论
引用本文:王嘉谋,石琳,何莉敏.关于一阶常微分方程奇解的讨论[J].高师理科学刊,2012(1):20-22.
作者姓名:王嘉谋  石琳  何莉敏
作者单位:内蒙古科技大学数理与生物工程学院,内蒙古包头014010
基金项目:内蒙古科技大学理科基地项目(JY2010103) 内蒙古科技大学教学(教改)重点项目(JY2009017)
摘    要:对几个典型一阶常微分方程的通解进行分析,得出高等数学中定义的微分方程通解并不包含该方程的所有解.从而说明一阶常微分方程奇解的存在性.

关 键 词:微分方程  通解  奇解

Discussion on the singular solution of first-order ordinary differential equation
WANG Jia-mou,SHI Lin,HE Li-min.Discussion on the singular solution of first-order ordinary differential equation[J].Journal of Science of Teachers'College and University,2012(1):20-22.
Authors:WANG Jia-mou  SHI Lin  HE Li-min
Institution:(School of Mathematics,Physics and Biological Engineering,Inner Mongolia University of Science and Technological,Baotou 014010,China)
Abstract:Analyzed the general solution of some typical one-order ordinary differential equations,obtained the conclusion that the general solution defined in higher mathematics is not all the solution of the differential equation.These examples show that singular solution exists in the first-order ordinary differential equation.
Keywords:differential equation  general solution  singular solution
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