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Verify that wave function (y=(2)/(x-3t...

Verify that wave function
`(y=(2)/(x-3t)^(2)+1)`
is a solution to the linear wave equation, x and y are in centimetres.

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AI Generated Solution

To verify that the wave function \( y = \frac{2}{(x - 3t)^2} + 1 \) is a solution to the linear wave equation, we will follow these steps: ### Step 1: Write down the wave equation The linear 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 wave velocity. ...
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