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I am studying wave mechanics and I managed to derive the linear wave equation with a string. Now I don't understand the significance of the equation or why I can use a string oscillating to make it general and apply to all sorts of waves

Edit:

this one

[tex] \frac{\partial^2 y}{\partial x^2}=\frac{1}{v^2} \frac{\partial^2 y}{\partial t^2}[/tex]

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# Linear Wave equation

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