For each of the systems in Problems 1-2, find the equilibrium points and draw sample trajectories in

Question:

For each of the systems in Problems 1-2, find the equilibrium points and draw sample trajectories in the phase plane. Discuss the long-term behavior of solutions in terms of the equilibria.
1. X = 2xy......................(Electric field between two charges)
y = y2 - x2 - 1
2. X = 2xy......................(Dipole system)
y = y2 - x2