The solution of the differential equation \[x\,dy+y\,dx-\sqrt{1-{{x}^{

1.	The solution of the differential equation \[x\,dy+y\,dx-\sqrt{1-{{x}^{2}}{{y}^{2}}}dx=0\] is
A.	\[{{\sin }^{-1}}xy=c-x\]
B.	\[xy=\sin (x+c)\]
C.	\[\log (1-{{x}^{2}}{{y}^{2}})=x+c\]
D.	\[y=x\sin x+c\]
Answer» C. \[\log (1-{{x}^{2}}{{y}^{2}})=x+c\]

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The solution of the differential equation \[x\,dy+y\,dx-\sqrt{1-{{x}^{2}}{{y}^{2}}}dx=0\] is

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