A particle moves under the force field (mathbf{F}=-abla V), where the potential function is given by (V(x,

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A particle moves under the force field \(\mathbf{F}=-abla V\), where the potential function is given by \(V(x, y)=x^{3}+y^{3}-3 x y+5\). Find the equilibrium points of \(\mathbf{F}\) and determine if the equilibria are stable or unstable.

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