Session Overview
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We learn how to solve constant coefficient DE's with periodic input. The method is to use the solution for a single sinusoidal input, which we developed in Unit 2, and then superposition and the Fourier series for the input. We also discuss the relationship of Fourier series to sound waves. |
Session Activities
Read the course notes:
Watch the lecture video clip:
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Solving ODE's, Resonant Frequencies (00:19:44)
Solving ODE's, Resonant Frequencies
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Read the course notes:
Learn from the Mathlet materials:
- Read about how to work with the Harmonic Frequency Response Applet (PDF)
- Work with the Harmonic Frequency Response: Variable Natural Frequency Applet
Read the course notes:
Watch the lecture video clips:
- Hearing I (00:03:52)
- Hearing II (00:03:50)
Learn from the Mathlet materials:
- Read about how to work with the Fourier Coefficients: Complex with Sound Applet (PDF)
- Work with the Fourier Coefficients: Complex with Sound Applet
Watch the problem solving video:
- Linear ODE's with Periodic Input (00:11:13)
Complete the practice problems:
Check Yourself
Complete the problem sets: