Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System

Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System
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Taught by OCW
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
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.
  • 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?
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.
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Reviewed by MathVids Staff on November 27, 2008.
 
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