Stefan’s law of radiation states that the rate of change of temperature of a body at...

Stefan’s law of radiation states that the rate of change of temperature of a body at T degrees Kelvin in a medium at M degrees Kelvin is proportional to m⁴ – T⁴. That is,

where k is a positive constant. Solve this equation using separation of variables. Explain why Newton’s law and Stefan’s law are nearly the same when T is close to M and M is constant. [ Hint: Factor m⁴ – T⁴]