1. The problem statement, all variables and given/known data explicit solution of -2x^2y+y^2=1; 2xydx+(x^2-y)dy=0? 3. The attempt at a solution I was able to find that dy/dx=-2xy/(x^2-y) which is the implicit solution of the equation. I pretty much derived both of the equations to make sure they are both equal to one another.... Not sure if that's how I could prove that the first order DE has them as an implicit solution...I'm just confused entirely... Now I'm trying to get the explicit solution...but that's just very hard considering the variables are stuck to each other.