Determine whether the equation is exact. If it is$,$ then solve it$.$

$[6ycos(xy)\frac{5}{\sqrt[\phantom{2}]{1-x^2}}]dx[6xcos(xy)-y^{-\frac{1}{7}}]dy=0$

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.$ The equation is exact and an implicit solution in the form $F(x,y)=C$ is $=$ C$,$ where C is an arbitrary constant. $($Type an expression using $x$ and $y$ as the variables.$)$