The problem of a point source of SH-waves in the case of separation of variables

The equation\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$div(\mu \nabla u) + \omega ^2 \rho u = - \delta (x - x_0 )\delta (y - y_0 )$$ \end{document}