Given $\displaystyle \frac{dy}{dt}=r(1-\frac{y}{k})y-Ey $

if $\displaystyle E<r $ show that there are two equilibrium points given by $\displaystyle y_{1}=0 $ and $\displaystyle y_{2}=k(1-\frac{E}{r})>0 $

The demonstration of $\displaystyle y_{1} $ is plain to see, but how do you go about proving the equilibrium point at $\displaystyle y_{2} $?