The general solution of the differential equation $\frac{d y}{d x}=\frac{x y+x-2 y-2}{x y-2 x+y-2}$ is
- A
$x+y+3 \log \left|\frac{x+1}{y+1}\right|=c$
- B
$x+y+3 \log \left|\frac{y+1}{x+1}\right|=c$
- C
$x-y+3 \log \left|\frac{x+1}{y+1}\right|=c$
- D
$x-y+3 \log \left|\frac{y+1}{x+1}\right|=c$
✓ Correct answer: D
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