5 videos in "FirstOrder Linear ODEs"

Solving Firstorder Linear ODE's; Steadystate and Transient Solutions

Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's

Firstorder Autonomous ODE's: Qualitative Methods, Applications

Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods

Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models
Firstorder Autonomous ODE's: Qualitative Methods, Applications
Firstorder Autonomous ODE's: Qualitative Methods, Applications
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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 BYNCSA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
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Firstorder 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 realworld problems are discussed in this video as well.