H ormone transport In lung physiology, the transport of a substance across a capillary wall has been modeled by the differential equation dh dt

− 2 R

V S h k 1 hD where h is the hormone concentration in the bloodstream (in mgymL), t is time (in seconds), R is the maximum transport rate, V is the volume of the capillary, and k is a positive constant that measures the affinity between the hormones and the enzymes that assist the process. Solve this differential equation to find a relationship between h and t.