Forced vibration with dampening
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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.
Forced vibration without dampening
Consider the differential equation
y'' + y = cos(ω t), y(0) = 0, y'(0) = 0, where ω = [omega].
The solution is
Move the slider to change the value of ω. The current value is ω = 2.