Snowball Rolling down a hill problem.
I've just started taking differential equations and I've gotten a little bit stuck on this problem.
A snowball rolling down a hill gains mass, m , at a rate proportional to its surface area.Assume the density of the snowball is constant such that mass is proportial to volume. Find a DE for the change in mass over time. And also given is that the rhs should depend only on m and constants
So here's what I think,
dm/dt=m0 + k*4pi^2
Maybe something like the rate of change of the mass depends on the initial mass + the change proportinal to its surface area?