The solution of the equation \(x^2\frac{dy}{dx}=x^2+xy+y^2\) is

1
\(tan^{-1}\left(\frac{y}{x}\right)=\log x+C\)
2
\(tan^{-1}\left(\frac{x}{y}\right)=\log x+C\)
3
\(tan^{-1}\left(\frac{x}{y}\right)=\log y+C\)
4
\(tan^{-1}\left(\frac{y}{x}\right)=\log y+C\)

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