It is given the force field of the question 13.

Determine for what values of the constants the field is central and determine the potential.

Question 13

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.