The birth rate of B(t) of a population P(t) decreases exponentially with time, so that B(t)=B0e^at where a,B>0. Therefore the population dynamics are governed by the differential equation:
dP/dt=B(t)P where P(0)=P0
Solve the above initial value problem to find an expression for P(t) in terms of P0,a,B. Use this expression to deduce the behavior of P(t) as t->infinity.
**I know people would like to advice me on the steps to take, but I would understand alot better if I was shown what the steps were, so I can understand the steps on my own**