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
Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases
Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases
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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.
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More info at: http://ocw.mit.edu/terms
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Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases  Lecture 9. Learn about secondorder differential equations.
 Lecture Notes  Lecture Notes
 Recitation Problems  Recitation Problems and classwork exercises
 Recitation Solutions  Recitation problem solutions
 What is a secondorder linear ODE?
 What is a realworld example of a secondorder differential equation?
 How do you solve a secondorder ODE?
This lecture focuses on the study of linear secondorder differential equations with constant coefficients. A physics problem with a spring, a mass, and forces is discussed and a secondorder ODE is written. Also, secondorder ODEs are solved in this lecture. A really useful lecture to watch in order to learn secondorder differential equations.