1. The problem statement, all variables and given/known data Find all solutions of xy'=2-x+(2x-2)y-xy^2. 2. Relevant equations None. 3. The attempt at a solution The answer in the book is y=1-1/(x(1-cx)). Here's my work: xy'=2-x+2xy-2y-xy^2 xy'=(xy^2-2xy+x)+2(1-y) xy'=x(y-1)^2-2(y-1) y'=(y-1)^2-2(y-1)/x u=y-1 u'=y' u'=u^2-2u/x And now I'm stucked. Please help me, I've struggled with this problem for a long time.