Decoupling Linear Systems with Constant Coefficients

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Taught by OCW
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Lesson Summary:

In this lesson, you will learn how to decouple linear systems with constant coefficients, which is a new method of solving these systems. By introducing new variables and changing the language used to express the system, you can decouple the system into two separate equations that can be solved separately. This method can provide new insights into the physical process being described by the system, as well as simplify the process of finding a solution.

Lesson Description:

Decoupling Linear Systems with Constant Coefficients -- Lecture 30. Learn how to decouple systems, which leads to a completely new thinking about them.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 29, 2008). License: Creative Commons BY-NC-SA.
More info at: http://ocw.mit.edu/terms

Additional Resources:
Questions answered by this video:
  • What does it mean for a system to be decoupled?
  • What is the advantage to decoupling a system?
  • Staff Review

    • Currently 4.0/5 Stars.
    Discussions in this lecture are on homogeneous systems of differential equations. Variables are changed and systems are decoupled in this video. One of the more intriguing lectures in a while in this series, this video brings up some very cool ideas. Also, some example problems are done.