正确求解变量分离微分方程  

Correctly Solve the Problem of Variable-separation Equation

作　　者：宋林森[1] 王军涛[1] 

机构地区：[1]河南科技学院,河南新乡453003

出　　处：《河南科技学院学报》2008年第4期114-115,共2页Journal of Henan Institute of Science and Technology(Natural Science Edition)

基　　金：河南省教育教学改革研究项目"大学数学分层次教学的研究与改革完成"(教改2008491)

摘　　要：指出了同济大学第五版《高等数学》中关于变量分离微分方程求解中的错误所在,分析了原因,给出了正确解法。告诫学生在求解变量分离、可分离变量方程时一定要对各种情况考虑完整,否则可能导致错误。This paper has indicated the errors to solve the problem of the equation,in which the variables can be separated in Higher Mathematics(the fifth edition),teaching material compiled by Tongji University,analyses the cause and give the right way.It reminds the learners to consider the integrity of the various circumstances when solving variable separation and detachable variable equations,to avoid obtaining a wrong result.

关 键 词：变量分离方程 变量 微分方程 

分 类 号：O175[理学—数学]