Question

Sketch the associated slope field for the following DE. Draw in some sample solution curves. State if the equilibrium solutions are stable, unstable, or semi-stable. \frac{d y}{d t}=-y(3+y)(1-y)^{2} \frac{d y}{d t}=-y(3+y)(1-y)^{2}

Fig: 1

Fig: 2

Fig: 3