Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians

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Taught by OCW
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Lesson Description:

Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians -- Lecture 11. Learn some critical topics in differential equations.

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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Additional Resources:
Questions answered by this video:
  • What are second-order Linear Homogeneous ODEs?
  • What is the superposition principle?
  • What the uniqueness theorem in ODEs?
  • What is a Wronskian?
  • How do you solve an initial value problem?
  • How do you solve an IVP?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video discusses some vital concepts in differential equations, including superposition, uniqueness, and Wronskians. The proof of superposition and several other theorems are also presented. A good lesson with general ODE solutions.