1. The problem statement, all variables and given/known data Hi, I've been trying to solve the differential equation 1000(dp/dt) = p(100-p), but have had no luck so far. 2. Relevant equations I think this requires using the change of variables formula. 3. The attempt at a solution Basically I've tried putting everything involving the dependent variable p, which lead me to [1000/(100p-p^2)]*(dp/dt)=1. I then tried to differentiate both sides but this is where I seem to become stuck. I know the answer is p= 200/(2-e^-0.1t) but can't get to it because of the integration. I'm also having similar problems with the question dP/dt=P(1-0.01P)-h. Thanks in advance or any help or tips.