Show that the density distribution of [equation (4.5)] is a solution of
equations (4.1) and (4.3).
Figure 4.1:
Radial density distribution. A spherical cloud (left) and a cylindrical cloud (right).
In the right panel, solutions for polytropic gases with (relatively compact) and
(relatively extended) are plotted as well as the isothermal one.

Kohji Tomisaka
20091210