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微分方程概论

Introduction to differential equations
课程网址: https://www.open.edu/openlearn/science-maths-technology/introduct...  
主讲教师: 信息不详。欢迎您在右侧留言补充。
开课单位: 信息不详。欢迎您在右侧留言补充。
开课时间: 2017-09-27
课程语种: 英语
中文简介:
微分方程是任何包含导数的方程,在很多情况下都会出现。这门免费课程,微分方程导论,考虑了三种类型的一阶微分方程。第1节介绍直接积分解的方程,第2节介绍分离变量法。第3节着眼于微分方程在解决现实世界问题中的应用。第4节介绍求解线性微分方程的积分因子法。最后两节总结和修订了前几节介绍的方法,并描述了寻找一阶微分方程解和理解解的行为的各种其他方法。
课程简介: Differential equations are any equations that include derivatives and arise in many situations. This free course, Introduction to differential equations, considers three types of first-order differential equations. Section 1 introduces equations that can be solved by direct integration and section 2 the method of separation of variables. Section 3 looks at applications of differential equations for solving real world problems. Section 4 introduces the integrating factor method for solving linear differential equations. The final two sections summarise and revise the methods introduced in the previous sections and describe various other approaches to finding solutions of first-order differential equations and to understanding the behaviour of the solutions.
关 键 词: 微分方程; 分离变量法; 积分因子法
课程来源: 英国开放大学
数据采集: 2024-10-26:zsp
最后编审: 2024-10-26:zsp
阅读次数: 4