Classify the equilibrium solutions as asymptotically stable or unstable.

$\frac{dy}{dt}=y(y-2)(y-4),y_{0}0$

$y(t)=0$ is unstable, $y(t)=2$ is asymptotically stable, $y(t)=4$ is asymptotically stable.

$y(t)=0$ is unstable, $y(t)=2$ is asymptotically stable, $y(t)=4$ is unstable.

$y(t)=0$ is unstable, $y(t)=2$ is unstable, $y(t)=4$ is unstable.

$y(t)=0$ is asymptotically stable, $y(t)=2$ is unstable, $y(t)=4$ is asymptotically stable.

$y(t)=0$ is asymptotically stable, $y(t)=2$ is asymptotically stable, $y(t)=4$ is unstable.