常微分方程初等解法所体现的数学思想  

Mathematical Thought in Solving the Ordinary Differential Equations with Elementary Methods

作　　者：欧乾忠[1] 刘泽显[1] Ou Qianzhong;Liu Zexian(Science school,Hezhou University,Guangxi Hezhou,542899)

机构地区：[1]贺州学院理学院,广西贺州542899

出　　处：《教育教学论坛》2016年第28期211-212,共2页Education And Teaching Forum

基　　金：广西高等教育教学改革工程项目(2014JGB234)

摘　　要：文章从数学的基本思想之一——"变换"的角度,分析了常微分方程的初等解法,并结合实际教学经历,对常微分方程课程在教学上提出了可供借鉴的建议。Combining with the fundamental mathematic thought “transformation”,the author analyzed the elementarymethods to solving the ordinary differential equations. And then some useful advices are given on the teachingof the ODE course,based on the experience of the author.

关 键 词：数学思想 常微分方程 初等解法 变换 

分 类 号：G642.0[文化科学—高等教育学]