question_answer

lf \[y=sin\,(lo{{g}_{e}}x)\],then \[{{x}^{2}}\frac{{{d}^{2}}y}{d{{x}^{2}}}+x\frac{dy}{dx}=\]

A)  \[sin\,\text{(}lo{{g}_{e}}x)\]     

B)  \[\text{cos}\,\text{(}lo{{g}_{e}}x)\]    

C)  \[{{y}^{2}}\]            

D)  \[-y\]