dr bob's driven damped harmonic oscillator systems page

a mix of handwritten notes in PDF scanned format and Maple worksheets using in the course MAT2705 Differential Equations with Linear Algebra at Villanova University.

single oscillators:

• exponential functions in physical terms pdf notes,
• sinusoidal functions in physical terms pdf notes, 4 quadrant amplitude-phase shift examples: [sinusoidquadrantex.mw, pdf].
  DE pictures: pdf notes
• the decaying exponential amplitude modulated sinusoidal function family pdf notes
  maple videos showing different phase shifts and frequencies decayingsinusoidals.mw
• linear homogeneous 2nd order DEQ with constant positive coefficients (damped harmonic oscillator): pdf notes 
  examples in nature pdf notes
• damped harmonic oscillator driven by sinusoidal driving function [dho345.mw pdf: resonance calculation side by side], maple resonance plots: general, specific];
• resonance peak description in terms of the quality factor and dimensionless quantities: resonance.mw
• integer characteristic time/decay rate factor and frequencies for toy example problems (quizzes and tests!): ddho-integerparameters.mw

systems:

• 2mass-springsystems.htm [and higher dimensional coupled oscillators]