>  Note, when c goes to 0, we get a harmonic oscillator at angular
>  frequency w=k/m rad/sec, which is correct.  When we increase the
>  damping, we get terms of e^(-0.5*c/m*t) which damps the solution.

made a typo here:

angular frequency w=sqrt(k/m) rad/sec
and f=sqrt(k/m)/2pi Hz

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