Radiant Energy Stefan’s Law of Radiation states that the radiation energy of a body is pro...

Radiant Energy Stefan’s Law of Radiation states that the radiation energy of a body is proportional to the fourth power of the absolute temperature T of a body.6 The rate of change of this energy in a surrounding medium of absolute temperature M is thus

where k > 0 is a constant. Show that the general solution of Stefan’s equation is

where c is an arbitrary constant.