Question

x(x-y)(dy/dx)=y(x+y)

Answer 1

dy/dx=y(x+y)/x(x-y)
now let y=vx
so,dy/dx=v+xdv/dx
xdv/dx=2v^2/1-v
or,1-v/v2 dv=dx/x
-x/y-log(y/x)=logx+c