diff-equation

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



1) $\sqrt{1+{{x}^{2}}}+\sqrt{1+{{y}^{2}}}=c$
2) $\sqrt{1+{{x}^{2}}}-\sqrt{1+{{y}^{2}}}=c$
3) ${{(1+{{x}^{2}})}^{3/2}}+{{(1+{{y}^{2}})}^{3/2}}=c$
4) None of these
Solution: Explanation: No Explanation
Variable separable type differential equations

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