Question

Set up the differential equation for transverse waves in a string.

Answer 1

The equation for transverse wave in a string is:

$$\frac{\partial^2 \xi}{\partial t^2}=\frac{T}{\mu}\frac{\partial^2 \xi}{\partial x^2}$$

where $\xi$ - displacement from equilibrium, $T$ - tension in the string, $\mu$ - mass of the string per unit length