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所在平台: Udemy |
课程主页: https://www.udemy.com/course/differential-equations-in-mathematics/
课程评论：没有评论
**课程名称：** 数学中的微分方程 **课程概述：** 本课程由持有科学博士学位、现任软件开发工程师的Alison教授。Alison是一位喜欢解决复杂问题的分析型人才，擅长以清晰、逻辑性和结构化的方式教授数学、化学、物理和编程。在每一章节，她都会提供实例或练习，以确保学习内容易于理解。 **课程内容：** 本课程将深入探讨数学中的微分方程，涵盖以下主题： 1. **微分方程介绍与分类：** 了解什么是微分方程，以及如何对其进行分类。 2. **微分方程解的验证：** 学习如何验证一个函数是否为微分方程的解。 3. **一阶微分方程的求解：** 掌握求解一阶微分方程的方法。 4. **特殊类型微分方程的求解：** * 通过变量分离法求解微分方程（附带实例）。 * 通过精确微分方程方法求解微分方程（附带实例）。 5. **高阶微分方程：** 学习什么是高阶微分方程，以及如何求解它们。 6. **齐次与非齐次微分方程：** 学习求解齐次微分方程和非齐次微分方程的方法。 Alison教授希望学员们能够享受课程，觉得内容易于理解，并学有所获。她鼓励学员提供反馈、问题和建议。 **教师简介：** Alison，拥有科学博士学位，现任软件开发工程师。她热衷于解决复杂问题，教学风格清晰、逻辑性强且结构化。
Hi!My name is Alison.I'm an analytical person with a science background, that has a passion for complex problem solving. I have a PhD in Science and I currently work as a Software Developer.I'm here to teach you Maths, Chemistry, Physics and Programming.I present my courses in a clear, logical and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.In this specific course we will learn various concepts about differential equations in mathematics 1) First, we will introduce what is a differential equation and how to classify it 2) Afterwards, we will explain how to verify the solution of a differential equation3) Next, we will look at how we can solve first order differential equations 4) Then we will introduce an example of how to solve differential equations by separation of variables as well as an example of how to solve exact differential equations 5) We will learn what are higher order differential equations and how we can solve them6) Finally, we will see how to solve homogeneous and inhomogeneous differential equations I hope you enjoy this course, find it easy and learn a lot with meGood luck and see you soonAlison
