“微分方程的通解”探析  

"The general solution of differential equation " searches analyzes

作　　者：吴全荣[1] 

机构地区：[1]漳州城市职业学院,福建漳州363000

出　　处：《漯河职业技术学院学报》2009年第2期130-132,共3页Journal of Luohe Vocational Technical College

摘　　要：剖析了"微分方程的通解"的定义,并商榷了一些教科书(教参)中解微分方程的方法,分析解微分方程时常出现的一些错误:失根;随意去掉绝对值的符号、随意将三角函数改写成反三角函数或把反三角函数改写成三角函数形式而改变函数定义域。This article analyzes the definition of ＂the general solution of differential equation＂ And talks about the method of solving differential equation in some textbooks （ teacher＇ s books）. Some mistakes in this field always turn up as follows： loses the root; removing the mark of absolute value ,and intentionally changing trigonometric function into inverse trigonometric function or inverse trigonometric function into trigonometric function to change the domain of function.

关 键 词：微分方程 通解 绝对值 反三角函数 

分 类 号：O175.7[理学—数学]