5 videos in "First-Order Linear ODEs"
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Solving First-order Linear ODE's; Steady-state and Transient Solutions
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First-order Substitution Methods: Bernouilli and Homogeneous ODE's
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First-order Autonomous ODE's: Qualitative Methods, Applications
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First-order Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods
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Continuation; Applications to Temperature, Mixing, RC-circuit, Decay, and Growth Models
First-order Autonomous ODE's: Qualitative Methods, Applications
First-order Autonomous ODE's: Qualitative Methods, Applications
849 views - 00:45:44
Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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
More info at: http://ocw.mit.edu/terms
First-order Autonomous ODE's: Qualitative Methods, Applications -- Lecture 5. Learn what solutions look like without solving the equation.
- 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
- What is an autonomous differential equation?
- What is a logistic equation?
- How do you get qualitative information about solutions to ODEs without solving?
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.
