Show that the equation $ \frac{dN}{dt} = k(C_0 - \alpha N)N$ can be written in the form $ \frac{dN}{dt} = r(1 - \frac{N}{B} )N$ and interpret r and B.
Where $r=C_0 k $ and $ B = \frac{C_0}{ \alpha}$
Also show that as t approaches infinity, the population density approaches B.
I understand that this is a simple logistic equation, but so far the variables and how to properly interpret them has been throwing me off.