The solution of the differential equation \(\rm \dfrac{dy}{dx}=\sec\left(\dfrac{y}{x}\right)+\dfrac{y}{x}\) is

1
\(\rm \cos \left(\dfrac{y}{x}\right)= \log (cx)\)
2
\(\rm \sin \left(\dfrac{x}{y}\right)= \log (cx)\)
3
\(\rm \sin \left(\dfrac{y}{x}\right)= \log (cx)\)
4
None of the above

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