1. The problem statement, all variables and given/known data Where am I going wrong in solving this differential equation? 2. Relevant equations x' = x(1-x) is what I'm after 3. The attempt at a solution Separating variables: dx / [x(1-x)] = dt Partial fraction decomposition on the left side yields: dx [1/x + 1/(1-x)] = dt. Integrating both sides with respect to their variable: ln(x) + ln(1-x) = t + C Simplifying the left side: ln(x(1-x)) = t + C Raising both sides to the e power: x(1-x)=Ket Nothing I can really do after this, though. I guess I just define it implicitly like that?