1.

The solution of \[(1+xy)y\,dx+(1-xy)x\,dy=0\] is

A.                 \[\frac{x}{y}+\frac{1}{xy}=k\]         
B.                 \[\log \left( \frac{x}{y} \right)=\frac{1}{xy}+k\]
C.                 \[\frac{x}{y}+\frac{1}{xy}=k\]         
D.                 \[\log \left( \frac{x}{y} \right)=xy+k\]
Answer» C.                 \[\frac{x}{y}+\frac{1}{xy}=k\]         


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