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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