$($b$)(4$ points$)$ Show that the differential equation

$2(1+xy)dx+(\frac{4x}{y}+3x^2)dy=0,y>0$

is not exact, but can be made exact using the integrating factor $(x,y)=y^2.$ Find the general solution $($you may leave it in implicit form$).($b$)(4$ points$)$ Show that the differential equation

$2(1+xy)dx+(\frac{4x}{y}+3x^2)dy=0,y>0$

is not exact, but can be made exact using the integrating factor $(x,y)=y^2.$ Find the general solution $($you may leave it in implicit form$).$