Suppose that a solution containing a drug enters an organ at the rate a cm3/s, with drug c...

Suppose that a solution containing a drug enters an organ at the rate a cm3/s, with drug concentration k g/cm3. Solution leaves the organ at a slower rate of b cm3/s. Further, the faster rate of infusion causes the organ’s volume to increase with time according to V(t) = V0 + rt, with V0 its initial volume. If there is no initial quantity of the drug in the organ, show that the concentration of the drug in the organ is given by