Question

dx/dt = x(2 − x − y)
Dy/dt = y(y − x2)
In Exercises 5–14, we restrict attention to the first quadrant (x, y ≥ 0). For each system,
(a) sketch the nullclines,
(b) sketch the phase portrait, and
(c) write a brief paragraph describing the possible behaviors of solutions. [Hint: You
may wish to use information obtained in Exercises 7–16 of Section 5.1.]