A force field in the plane is described by the relation (F_{x}=a x+b y ; F_{y}=c x+d

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A force field in the plane is described by the relation \(F_{x}=a x+b y ; F_{y}=c x+d y\), with \

(a,

b, c, d\) real constants. Determine for what values of the constants the field is conservative and determine the potential.

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