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The cooling of a radiating (black) body of temperature T, immersed in a
radiation field of black-body temperature T_0, is given by the equation:
dT/dt = -k[T^4 -(T_0)^4]
where k is some constant.
Show that if T is much larger than T_0, then the temperature decrease is
proportional to the time and the proportionality constant is -k(T_i)^4.