4 videos in "SecondOrder Linear ODEs"

Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases

Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians

Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constantcoefficient ODEs

Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials
Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
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Part of video series Differential Equations Course acquired through MIT OpenCourseWare
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 BYNCSA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
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Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians  Lecture 11. Learn some critical topics in differential equations.
 Lecture Notes  Lecture Notes
 Recitation Problems  Recitation Problems and classwork exercises
 Recitation Solutions  Recitation problem solutions
 What are secondorder 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?
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.