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
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
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1 X fx y 2xy Y gxy y 2 x 2 1 Solving x y 0 shows the system has two equilibrium points 0 1 Trajec... View full answer
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