Need help with this question, honestly don't know where to start.

Please help, this is due in a couple hours.

F ( x y ) = y ( x y ) F ( y ) where , lay is an arbitraRy smooth function and F ( xil) = ( x singty cony x cony - y sing )Consider the force field wheeze yiz, y) is an arbitrary wenooth function, and Note that F(s. yl is almost always a non-conservative force field, canopt for certain choices of function y(n,p). 6 marks Determine a pop-trivial function x(, y) for which the force field For, y) is a conservative force beld, for all mal whims of a nand y. (4) (5 marks] Construct a potential function ofrep) for this conservative force field Fir, p), defined using non trivial function x(5, ti) determined above (ul) 3 marks] Calculate the work done )1' by the commutative force field Fir, y) in moving a particle along some month curve from ( 1, 1) to (or In)