An integrating factor of the differential equation \( x \frac{d y}{d x}+y \log x=x e^{x} x^{\fra...
An integrating factor of the differential equation \( x \frac{d y}{d x}+y \log x=x e^{x} x^{\frac{-1}{2} \log x},(x0) \) is
(a) \( x^{\log x} \)
(b) \( (\sqrt{x})^{\log x} \)
(c) \( (\sqrt{e})^{\log x} \)
(d) \( e^{x^{2}} \)
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