I have this one question for my Mathematical Modelling unit Assignment 1 which I have been stuck on for hour 8+ hours (deadly serious 0.0).

dP/dt = (1/2)*P(4-P)) P(0) = 2

I try solving it as a separable DE and I get to;

P/(4-P) = A*e^(2t) (Starting to think that this part might be wrong too -.-)

From this point I have tried everything I know to try and solve for P(t)

I REALLYYYYYYY need some help with this one.