4 videos in "Second-Order Linear ODEs"
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Solving Second-order Linear ODE's with Constant Coefficients: The Three Cases
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Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
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Continuation: General Theory for Inhomogeneous ODEs. Stability Criteria for the Constant-coefficient ODEs
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Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials
Theory of General Second-order Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians
Theory of General Second-order 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 BY-NC-SA.
More info at: http://ocw.mit.edu/terms
More info at: http://ocw.mit.edu/terms
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Theory of General Second-order 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 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?
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.
