An integrating factor of the differential equation \[x\frac{dy}{dx}+y\log x=x{{e}^{x}}{{x}^{-\frac{1}{2}\log x}}\], \[(x>0)\] is [Kerala (Engg.) 2005]

An integrating factor of the differential equation \[x\frac{dy}{dx}+y\

1.	An integrating factor of the differential equation \[x\frac{dy}{dx}+y\log x=x{{e}^{x}}{{x}^{-\frac{1}{2}\log x}}\], \[(x>0)\] is [Kerala (Engg.) 2005]
A.	\[{{x}^{\log x}}\]
B.	\[{{(\sqrt{x})}^{\log x}}\]
C.	\[{{(\sqrt{e})}^{\log x}}\]
D.	\[{{e}^{{{x}^{2}}}}\]
E.	\[{{x}^{2}}/2\]
Answer» C. \[{{(\sqrt{e})}^{\log x}}\]

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An integrating factor of the differential equation \[x\frac{dy}{dx}+y\log x=x{{e}^{x}}{{x}^{-\frac{1}{2}\log x}}\], \[(x>0)\] is [Kerala (Engg.) 2005]

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