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Prove that the equation y = a sin omegat...

Prove that the equation `y = a sin omegat` does not satisfy the wave equation and hence it does not represent a wave.

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To prove that the equation \( y = a \sin(\omega t) \) does not satisfy the wave equation, we will follow these steps: ### Step 1: Understand the Wave Equation The wave equation in one dimension is given by: \[ \frac{\partial^2 y}{\partial x^2} = \frac{1}{v^2} \frac{\partial^2 y}{\partial t^2} \] where \( v \) is the speed of the wave. ...
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