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 $ .