微分方程教学设计之线性化思想的应用  

Application of the thought of linearization in instructional design of differential equation

作　　者：王云虎 WANG Yun-hu(School of Art and Sciences,Shanghai Maritime University,Shanghai 201306,China)

机构地区：[1]上海海事大学文理学院

出　　处：《高师理科学刊》2019年第12期58-60,65,共4页Journal of Science of Teachers＇College and University

基　　金：上海海事大学文理学院重点课程建设项目（2018）

摘　　要：线性化思想在微分方程的研究中应用广泛.通过选取微分方程相关教材中的案例,展示线性化思想在微分方程精确求解中的应用,以加强学生对线性化的认识,并以此引起学生对微分方程相关问题的研究兴趣.The thought of linearization is widely used in the research of differential equations.Some examples are selected to demonstrate the application of the thought of linearization in the investigation of exact solution to differential equations.It is hoped that this can strengthen students′understanding of linearization,and arouse their interest in the research of differential equations.

关 键 词：微分方程 线性化 里卡蒂方程 双线性方程 

分 类 号：O175.1[理学—数学] G642.0[理学—基础数学]