Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations

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Lesson Description:

Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations -- Lecture 10. More discussions about oscillations with second-order ODEs.

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

Additional Resources:

Damped Vibration Java applet - A Java applet to play around with to discover damped vibrations / oscillations.
Practice Exam 1 with Solutions - Practice Exam 1 with Solutions
Exam 1 - Exam 1
Exam 1 Solutions - Exam 1 Solutions
Lecture Notes - Lecture Notes
Muddy Card Responses - Muddy Card Responses are explanations of topics that were confusing to students
Supplementary Notes - Chapter 9 Supplementary Notes written by Prof. Miller
Recitation Problems - Recitation Problems and classwork exercises
Recitation Solutions - Recitation problem solutions
Complex Roots Java Applet - A Java Applet to use to discover complex roots visually.
Damping Ratio Java Applet - A Java applet to help you discover damping ratio and its meaning geometrically.
Damping Ratio Java Applet - A Java applet to help you discover damping ratio and its meaning geometrically.
Forced Damped Vibrations Java Applet - An interactive java applet for learning about forced damped vibrations.

Questions answered by this video:

How do you solve a damped oscillation problem?
How do you solve an undamped oscillation problem?
What are the complex roots of a second-order ODE?

Staff Review
- Currently 4.0/5 Stars.
This lesson talks more about both damped and undamped oscillation of a spring. Oscillations are associated with complex roots of a second-order ODE. A very in-depth explanation of complex solutions of ODEs.

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