Solve \(\rm \frac{dy}{dx}+\sqrt{\frac{1-y^2}{1-x^2}} = 0\)

1
\(\rm x\sqrt{1-x^2}+y\sqrt{1-y^2}= c\)
2
\(\rm x\sqrt{1-y^2}+y\sqrt{1-x^2}= c\)
3
\(\rm x\sqrt{1+y^2}+y\sqrt{1+x^2}= c\)
4
\(\rm x\sqrt{1+x^2}+y\sqrt{1+y^2}= c\)

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