First-order Autonomous ODE's: Qualitative Methods, Applications

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Lesson Description:

First-order Autonomous ODE's: Qualitative Methods, Applications -- Lecture 5. Learn what solutions look like without solving the equation.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Additional Resources:

Lecture Notes - Lecture Notes
Notes - Notes and exercises written by Prof. Mattuck
Supplementary Notes 1 - Chapter 5 Supplementary Notes written by Prof. Miller
Supplementary Notes 2 - Chapter 6 Supplementary Notes written by Prof. Miller
Recitation Problems - Recitation Problems and classwork exercises
Recitation Solutions - Recitation problem solutions

Questions answered by this video:

What is an autonomous differential equation?
What is a logistic equation?
How do you get qualitative information about solutions to ODEs without solving?

Staff Review
- Currently 4.0/5 Stars.
In this video, you will learn how to get qualitative information about solutions to ODEs without actually solving them. The information you learn in this lesson is very important to understanding solutions to differential equations. A good number of real-world problems are discussed in this video as well.

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