Use the Liapunov function V(x,y) = ( + ) to determine the stability of the fixed point at the origin of an autonomous system associated with the vector field F = (- y - x ) i + (x - y ) j.

Question

Use the Liapunov function V(x,y) =  (  +  ) to determine the stability of the fixed point at the origin of an autonomous system associated with the vector field F = (- y - x  ) i + (x - y  ) j.

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The Answer of Use the Liapunov function V(x,y) =  (  +  ) to determine the stability of the fixed point at the origin of an autonomous system associated with the vector field F = (- y - x  ) i + (x - y  ) j.

Use the Liapunov Function V(x,y) =