I am asked to find a singular solution of the D.E. dy/dx = (xy+2y-x-2)/(xy-3y+x-3). I am first solving to find the general solution form of the D.E., and so far have it to:
[(x+2)/(x-3)]dx = [(y+1)/(y-1)]dy
From here, of course, you integrate both sides, but I am struggilng to find the best technique of integration. Any ideas?