Question

dx/dt=y
dy/dt=x-3y

Answer 1

a) Determine and plot the equilibrium points and nullclines for the system.
b) Show the direction of the vector field between the nullclines.
c) Sketch some solution curves starting near, but not on, the equilibrium points.
d) Label each equilibrium as stable or unstable and describe the long-term behavior.

Answer 2

equilibrium point when your derivative becomes zero

Answer 3

what about nullclines?