Mathematics Differential Equations Formation of a Differential Equation

If \(xy=1+\log { y }\) and \(k \cdot \frac { dy }{ dx } +{ y }^{ 2 }=0\) then k is

1
\(1+xy\)
2
\(\frac { 1 }{ xy-1 }\)
3
\(xy-1\)
4
\(1-2xy\)

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