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There are many different wave equations that describe different wave-like phenomena. Being a differential equation, the WE is a pointwise relation and applies to the wavefield at spatial points.

- The equation is
**homogeneous**when the source term is zero. That means that the solution functions satisfy the WE at spatial points where the source does not exist, correct? The wavefield is propagating away from the source location and we are mostly interested in the wavefield at those other location where the source does not exist and therefore be interested in solving the homogeneous WE. In which cases do we need to worry about and solve the inhomogeneous WE?

- If a wavefield solution f(x,y,z,t) to the WE is separable, i.e. f(x,y,z,t) = p(x,y,z) g(t) , does it always automatically mean that the wavefield is stationary and not traveling? Or can a traveling wavefields be described by a separable functions?

fog37