Suppose a particle moves in a vector field F in R2 with physical potential V(x, y) = 2x

Chapter 4, Problem 8

(choose chapter or problem)

Suppose a particle moves in a vector field F in R2 with physical potential V(x, y) = 2x 2 8x y y2 + 12x 8y + 12. Find all equilibrium points of F and indicate which, if any, are stable equilibria.

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