Deduce a travelling solution of wave du + 2-

The time necessary for a particle to complete one cycle (for example, crest to crest) is called   (a) velocity   (b) period   (c) wavelength   (d) frequency

e y. 47. For wavelengths greater than about 20 cm, the disper- sion relation for waves on the surface of water is

Prove that the spherical wave given by: ?(?,?) = (A ei k (r-vt))/r is indeed a solution of the three-dimensional wave equation Hint: Write the wave equation in spherical coordinates (therefore, you should use the Laplacian written in terms of r, ?, ?, and insert the solution given above into the wave equation.