1. The problem statement, all variables and given/known data I have been dealing with Exact Equations in my DE class, and I came around this problem. (t^2-y^2)+(t^2-2ty)(dy/dt)=0 This is obviously not an exact eqn. So I tried using integrated factors on it and try to find this "factor" μ. But no matter if I did it in terms of t or in terms of y, I couldn't separate it in terms of one variable. dμ/dt=(-2t)/(t^2-2ty) or dμ/dy=(2t)/(t^2-y^2) 2. Relevant equations Is there any way that you can find an integrated factor which it is in terms of both variables? instead of t or y alone, both? 3. The attempt at a solution I tried everything, and this topic is not even covered in class or in the book. I learnt this on my own and I have only learn Integrated factors in terms of y or in terms of t, not both. Help please.