how to salve this differential?



 ode2(diff(y)=y/(x-y),y,x);
                                               y
(%t1)                           del(y) = -----
                                               y + x

                                     msg1

(%o1)                                false


the answer is:

dy/dx= y/(x+y)
(x+y) dy=ydx
xdy+ydy=ydx
ydy =ydx-xdy
y/y^2 dy =(y dx - x dy)/y^2
1/y dy = d(x/y)
ln(y)= x/y
y ln(y)=x

Maxima seems like it does not know this?

Doug