1. The problem statement, all variables and given/known data [tex] (2x+y^2) dx +4xy dy=0,y(1)=1 [/tex] 2. Relevant equations 3. The attempt at a solution I'm having trouble finding the correct integrating factor, been playing with it for an hour and have made NO progress so need help. [tex] \delta P/\delta y=2y [/tex] [tex] \delta Q/\delta x=4y [/tex] so its not exact and I need to find an integrating factor. [tex] R=1/Q( \delta P/\delta y-\delta Q/\delta)=-1/2x [/tex] [tex] F(x)= exp \int R(x) dx [/tex] [tex] \int -1/(2x) = -ln(abs(x))/2 [/tex] This integrating factor isn't going to make my ode exact though and I can't figure out what I have stuffed up??? Thanks for any help.