## Forced vibration with dampening

**If you can read this, you need to turn on Javascript.**

Consider the differential equation

*y*'' + 0.125

*y*' +

*y*= 3 cos(ω

*t*),

*y*(0) = 2,

*y*'(0) = 0, where ω = [omega].

The solution is

*y*= [some number]

*e*

^{-t/16}cos(

*t*/ 16 - [delta] ) + [some number] cos([omega] t - [delta]).

Move the slider to change the value of ω. The current value is ω = 2.