Use the method for solving homogeneous equations to solve the following differential equation.

$(9$x$2-$y$2)$ dx$+($xy$-4$x$3$y$1)$ dy$=0$

$...$

Ignoring lost solutions, if any, an implicit solution in the form F$($x$,$y$)=$ C is

$($Type an expression using x and y as the variables.$)$

$=$ C$,$ where C is an arbitrary constant.