Find All Equilibrium Points for the Following Coupled Equations

Multiple Choice

Find all equilibrium points for the following coupled equations. Identify each equilibrium point as stable or unstable.

A) (0, 0) unstable; (1.33, 1.25) stable; (0.60, 0) unstable; (0, 1.10) unstable
B) (0, 0) unstable; (0, 0.20) unstable; (0.50, 0) unstable; (0.60, 0.20) stable
C) (0, 0) unstable; (0, 0.20) unstable; (0.60, 0) unstable; (1.33, 1.25) stable
D) (0, 0) unstable; (0, 1.25) unstable; (1.33, 0) unstable; (0.60, 1.10) stable