Does ODE initial value problem produce beat or resonance phenomenon? x''+9x=\sin

quiquenobi2v6 2022-01-20 Answered
Does ODE initial value problem produce beat or resonance phenomenon?
x+9x=sin(3t)
x(0)=x(0)=0.
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reinosodairyshm
Answered 2022-01-20 Author has 36 answers
You are forcing the system at the natural frequency of the system (ω0=±3), so it is unlikely to get a beat (amplitude modulation when the excitation frequency differs from the system modes).
Since there is a t term in the response, the amplitude is unbounded. This is presumably what you call resonance.

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