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 Substitution Methods: Bernouilli and Homogeneous ODE's
Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's
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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 Substitution Methods: Bernouilli and Homogeneous ODE's  Lecture 4. Learn how to change variables in differential equations.
 Lecture Notes  Lecture Notes
 Supplementary Notes  Chapter 3 Supplementary Notes written by Prof. Miller
 Problem Set 1  Problem Set 1
 Problem Set 1 Solutions  Problem Set 1 Solutions
 Recitation Problems  Recitation Problems and classwork exercises
 Recitation Solutions  Recitation problem solutions
 What are the Firstorder Substitution Methods?
 What are Bernouilli ODEs?
 What are Homogeneous ODEs?
 What is scaling?
 What is direct substitution?
 What is inverse substitution?
 What is an integrating factor?
This video talks about the change of variables and substitution to make an equation solvable. Also, scaling is discussed in various differential equations to change units, make unit dimensionless, or to reduce the number of or simplify constants in a function. Some examples are shown, and this video covers a lot of very important and intense differential equations topics.