Solve the equation.

$(2x^{2}y)dx(x^2{y}^2-x)dy=0$

An implicit solution in the form $F(x,y)=C$ is $=$ C$,$ where C is an arbitrary constant, and

$$ by multiplying by the integrativg fector:

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