The solution of the differential equation \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}} = \frac{{{\rm{y}}\phi '\left( {\rm{x}} \right) - {{\rm{y}}^2}}}{{\phi \left( {\rm{x}} \right)}}\) is

1
\({\rm{y}} = \frac{{\rm{x}}}{{\phi \left( {\rm{x}} \right) + {\rm{c}}}}\)
2
\({\rm{y}} = \frac{{\phi \left( {\rm{x}} \right)}}{{\rm{x}}} + {\rm{c}}\)
3
\({\rm{y}} = \frac{{\phi \left( {\rm{x}} \right) + {\rm{c}}}}{{\rm{x}}}\)
4
\({\rm{y}} = \frac{{\phi \left( {\rm{x}} \right)}}{{{\rm{x}} + {\rm{c}}}}\)

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