Resonance in a Driven, Damped Oscillator

Here is my derivation of the resonance frequency for a damped driven oscillator.

Here is my playlist with the rest of the oscillator videos.
   • Harmonic Oscillators  

Oh, you want the code for the resonance plot? Ok
https://trinket.io/glowscript/85e72a4972

Also, here is my phase space plot
https://trinket.io/glowscript/3d86b222ee

00:00 - Intro
00:27 - Review of the Damped Driven Oscillator
04:50 - Equation of motion for Damped driven oscillator
08:24 - Phase space plot for increasing driving frequency
10:08 - What happens when omega goes to infinity?
10:35 - What if beta goes to zero?
11:07 - Amplitude as a function of driving frequency
12:28 - Driven LRC circuit
14:02 - Bad demo of resonance