If \[y=x+\frac{1}{x}\], then

• A. \[{{x}^{2}}\frac{dy}{dx}+xy=0\]
• B. \[{{x}^{2}}\frac{dy}{dx}+xy+2=0\]
• C. \[{{x}^{2}}\frac{dy}{dx}-xy+2=0\]
• D. None of these