So I'm stuck on:

(1-x²)y' = 1-y²

I think it's homogeneous but even that I'm not sure of. (I'm pretty new to first and second order ODEs so I'm finding it really hard at the moment!)

I simply took the(1-x²)to the other side to make it an equation iny'(x)but I have no idea on what to do now.

I know for homogeneous equations you can say thaty=xvand let

y'(x) = xdv/dx + vfor example but I can't get that to work here (suggesting that I might be wrong in thinking that it's a homogeneous equation....).

Any help is really appreciated!