Differential Equations Question 264

Question: The integrating factor of the differential equation $ (x\log x)\frac{dy}{dx}+y=2\log x $ is

Options:

A) $ \log x $

B) $ \log (\log x) $

C) $ e^{x} $

D) $ x $

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Answer:

Correct Answer: A

Solution:

I.F. $ ={e^{\int _{{}}^{{}}{\frac{1}{x\log x}dx}}}={e^{\log (\log x)}}=\log x $ .