The solution of the differential equation $(1+x) y \,dx + (1-y) x \,dy = 0$ is
- A$\log(xy) - x + y = C$
- B$\log(\frac{x}{y}) - x + y = C$
- C$\log(xy) - x - y = C$
- D$\log(xy) + x - y = C$
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