Question: Using a suitable Lypunov function, show that the equilibrium point ( 0 , 0 ) is asymtotically stable for the following system. Is it globally

Using a suitable Lypunov function, show that the equilibrium point (0,0) is asymtotically
stable for the following system. Is it globally asymptotically stable? Prove or disprove.
x
=-2x 3xy4
y
=2x
4
y y

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