Question: The rate of growth of a tumor is proportional to the size of the tumor.
(a) Write a differential equation satisfied by S, the size of the tumor, in mm, as a function of time, t.
(b) Find the general solution to the differential equation.
(c) If the tumor is 5 mm across at time t = 0, what does that tell you about the solution?
(d) If, in addition, the tumor is 8 mm across at time t = 3, what does that tell you about the solution?