diff-equation

Question: The solution of $\frac{dy}{dx}+\sqrt{\,\left( \frac{1-{{y}^{2}}}{1-{{x}^{2}}} \right)}\,=\,0$is



1) ${{\tan }^{-1}}x+{{\cot }^{-1}}x=c$
2) ${{\sin }^{-1}}x+{{\sin }^{-1}}y=c$
3) ${{\sec }^{-1}}x+\text{cose}{{\text{c}}^{-1}}x=c$
4) None of these
Solution: Explanation: No Explanation
Variable separable type differential equations

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