Below is the slope field of $\displaystyle {y}'=\frac{{1}}{{20}}{\left({y}-{4}\right)}^{{2}}{\left({y}^{{2}}+{6}{y}\right)}$

[Graphs generated by this script: initPicture(-7,7,-7,7);axes(1,1,1);stroke='red';slopefield('1/20(y-4)^2(y^2-(0+-6)y+0*-6)',.5,.5);]

What are the equilibrium solutions for this differential equations? Give your answers from smallest to largest.

$\displaystyle {y}_{{1}}=$

$\displaystyle {y}_{{2}}=$

$\displaystyle {y}_{{3}}=$

Classify each equilibrium solution as stable, unstable, or semi-stable.

$\displaystyle {y}_{{1}}$ is...



$\displaystyle {y}_{{2}}$ is ...



$\displaystyle {y}_{{3}}$ is ...