7 videos in "Systems of ODEs"
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Introduction to First-order Systems of ODEs; Solution by Elimination, Geometric Interpretation of a System
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Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients
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Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters
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Matrix Exponentials; Application to Solving Systems
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Decoupling Linear Systems with Constant Coefficients
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Non-linear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Non-linear Pendulum
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Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle
Decoupling Linear Systems with Constant Coefficients
Decoupling Linear Systems with Constant Coefficients
963 views - 00:47:05
Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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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
More info at: http://ocw.mit.edu/terms
Decoupling Linear Systems with Constant Coefficients -- Lecture 30. Learn how to decouple systems, which leads to a completely new thinking about them.
- Practice Exam 3 with Solutions - Practice Exam 3 with Solutions
- Exam 3 - Exam 3
- Exam 3 Solutions - Exam 3 Solutions
- Lecture Notes - Lecture Notes
- Linear Systems Notes 3 - Linear Systems Notes 3
- What does it mean for a system to be decoupled?
- What is the advantage to decoupling a system?
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.
