18.03SC | Fall 2011 | Undergraduate

Differential Equations

Unit II: Second Order Constant Coefficient Linear Equations

Pure Resonance

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Session Overview

In this session we study the undamped harmonic oscillator forced at its natural frequency. In this case the system responds by oscillating with an amplitude that grows to infinity over time. This is what is called pure resonance. Mathematically it is the case p(a) = 0 in the Exponential Response Formula.

Session Activities

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Watch the lecture video clips:

Watch the problem solving video:

Check Yourself

Complete the problem set:

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Course Info

Learning Resource Types
Lecture Videos
Recitation Videos
Exams with Solutions
Simulations
Lecture Notes
Problem Sets with Solutions