points$)$ For the equation

$(4xy)dx+(2y^2-6x^2)dy=0$

answer the following questions:

$(1).$ Show that this equation is NOT exact.

$(2).$ Verify that $\frac{\frac{\text{d}\text{e}\text{l}\text{N}}{\text{d}\text{e}\text{l}\text{x}}-\frac{\text{d}\text{e}\text{l}\text{M}}{\text{d}\text{e}\text{l}\text{y}}}{M}$ is a function depending on $y$ only.

$(3).$ Find the integrating factor $(y)$ using the formula on your formula sheet.

$(4).$ Multiply both sides of the equation by $(y),$ and solve the equation.