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The integrating factor of the differenti...

The integrating factor of the differential equation `(dy)/(dx)(x(log)_e x)+y=2(log)_e x` is given by

A

`e^(x)`

B

log x

C

log(log x)

D

x

Text Solution

Verified by Experts

The correct Answer is:
b
` (dy)/(dx) (xlog x) +y = 2 log x`
` rArr (dy)/(dx) +y/(x log x ) = 2/x`
Here , ` P = 1/(x log x ),Q = 2/x`
` :. IF = e^(intPdx) = e^(int(dx)/(x logx) )= log x `
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