 # 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?
$x{}^{″}+9x=\mathrm{sin}\left(3t\right)$
$x\left(0\right)={x}^{\prime }\left(0\right)=0$.
We are allowed to solve differential equations with TI-89.
You can still ask an expert for help

## Want to know more about Laplace transform?

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it reinosodairyshm
You are forcing the system at the natural frequency of the system $\left(\omega 0=±3\right)$, 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.

We have step-by-step solutions for your answer!