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