What is a wave equation?

(N/A) wave equation is a second-order linear partial differential equation that describes the propagation of various types of waves,such as sound waves,light waves,and water waves.
For a one-dimensional wave traveling along the $x$-axis with a wave speed $v$,the wave equation is given by:
$\frac{\partial^2 y}{\partial x^2} = \frac{1}{v^2} \frac{\partial^2 y}{\partial t^2}$
where $y(x, t)$ represents the displacement of the wave at position $x$ and time $t$.