First-order Substitution Methods: Bernouilli and Homogeneous ODE's

First-order Substitution Methods: Bernouilli and Homogeneous ODE's
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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 26, 2008). License: Creative Commons BY-NC-SA.
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First-order Substitution Methods: Bernouilli and Homogeneous ODE's -- Lecture 4. Learn how to change variables in differential equations.
  • What are the First-order 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.
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Reviewed by MathVids Staff on November 26, 2008.
 
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