Separable Equation

I uploaded original problem image and several attempted answers, but got all wrong. Plese show me right answer.
The differential equation
dy/dx=32/(y^(1/3) 16x^(2)*y^(1/3)has an implicit general solution of the form F(x,y)=K, where K is an arbitrary constant.In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form
F(x,y)=G(x) H(y)=K. Find such a solution and then give the related functions requested.