Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case)

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Lesson Description:

Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case) -- Lecture 25. Learn a more efficient way of solving systems of ODEs.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 27, 2008). License: Creative Commons BY-NC-SA.
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Additional Resources:
Questions answered by this video:
  • How do you solve systems of differential equations?
  • How do you solve homogeneous linear systems with constant coefficients?
  • How do you use matrix eigenvalues to solve systems of differential equations?
  • What is the superposition principle?
  • What is a homogeneous system of differential equations?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lecture explains the more useful and practical way of solving systems of differential equations. Matrix Algebra, eigenvalues, and eigenvectors are used to solve them. Make sure you have a working knowledge of Linear Algebra for this lecture. A very interesting lecture with very real applications, in which multiple examples are actually solved.