Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System
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Lesson Description:
Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System -- Lecture 24. A very complete lecture on systems of differential equations.
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms
Additional Resources:
- Lecture Notes - Lecture Notes
- Muddy Card Responses - Muddy Card Responses are explanations of topics that were confusing to students
- Recitation Problems - Recitation Problems and classwork exercises
- Recitation Solutions - Recitation problem solutions
Questions answered by this video:
- What are first-order systems of ODEs?
- How do you solve First-order systems of ODEs?
- How do you solve systems of ODEs by elimination?
- What is the geometric interpretation of a system?
- What is an application of systems of differential equations?
- What is an autonomous system?
- What is a velocity field?
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Staff Review
The beginning of first-order systems of differential equations. From this lecture on, this will be the topic of discussion of the course. These are interesting because they must be solved simultaneously. This is a very involved lesson that includes real-world applications of several circuits connected together.
