The Accumulating Raindrop Suppose that a spherical raindrop falling through a moist atmosp...

The Accumulating Raindrop Suppose that a spherical raindrop falling through a moist atmosphere grows at a rate proportional to its surface area.

(a) Explain why

 k a positive constant,

models this situation.

(b) Demonstrate nonuniqueness for dV/dt = kV2/3, y(0) = 0, by constructing several solutions.