I'm stuck on another problem that asks me to find constant solutions to the equation $\displaystyle \frac{dy}{dt}=y^4-6y^3+5y^2$ and to determine when y increases/decreases.

I've integrated and I've got $\displaystyle y=\frac{y^3}{3}-\frac{3}{2}y^4+\frac{5}{3}y^3$ and then I thought about doing algebra to solve for y but that wouldn't work.