Find the equilibrium temperature as a function of r. For the same values of c1 and c2,

Question:

Find the equilibrium temperature as a function of r. For the same values of c1 and c2, which animals stay warmest?
Suppose that an endothermic (warm-blooded) animal generates heat at a rate proportional to its metabolic rate with constant c1, and loses heat at a rate proportional to its surface area with constant c2. Heat loss is also proportional to the difference between its temperature and the ambient temperature A as in Newton's Law of Cooling. The temperature T of a conveniently spherical creature of radius r would then follow