For the autonomous equation y′=y2(1−y)y' = y^2(1-y)y′=y2(1−y), what happens to the solution with y(0)=0.5y(0) = 0.5y(0)=0.5 as t→∞t \to \inftyt→∞?
Stays at 0.5
Approaches ∞\infty∞
Approaches 1
Approaches 0