Ok so i have the equation y'=y^2(y-3)(y-5)^3

I found the equilibrium positions to be y=0, y=3, y=5.

Does my phase diagram look right and would be correct in saying the solutions are nodes?

The last part asks Describe the long term behavior of the solution to the above dierential equationwith initial condition y(0) = 4.

I'm not sure how to get started with this.