The logistic growth model is the following: dx/dt=rx(1-x/K), with r and K and as constants, and x is a function of t. I'm really not sure where to begin. First I tried separation of variables, but that didn't work out (and I don't even know if I was doing it right). Should I even be looking for an integration factor in solving this? It looks simple....but I guess I'm rusty in this. The end result is supposed to be: x(t)=K/(1+ce^-rt) c=[K-x(0)]/x(0) Second, I tried deriving this equation and getting it to look like the previous equation, but I think I'm missing somethings. So just a tip or hint that can push me down the right track would be great. Thanks a lot!