1. The problem statement, all variables and given/known data dy/dt=y(9-y) y(0)=2 2. Relevant equations 3. The attempt at a solution dy/(y(9-y)) = dt ∫dy/(y(9-y)) = ∫dt partial fraction decomposition 1=A/y + B/(9-y) 1=9A-Ay +By 1/9=A 0=1/9 +B B=-1/9 1/9∫1/y -1/9∫1/(9-y)=t+C 1/9ln|y| -1/9(ln|9-y|) 1/9(ln|y/(9-y)|)=t+C y/(9-y) =Ke^(9t) 2/7=K y/(9-y) =(2e^(9t))/7 I'm stuck right here. It's a little embarrassing, but I forgot how to find the solution here.