NDA Math Differential Equation

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If y=(xn)x, then which one of the following is correct?

[NDA II 2022]

‌
dy
dx
+xy(1+2‌ln‌x)=0
‌
dy
dx
−xy(1+2‌ln‌x)=0
‌
dy
dx
−2xy(1+ln‌x)=0
‌
dy
dx
+2xy(1+ln‌x)=0

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