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Question

The integrating factor of the differential equation xlogxdydx+y=2logx is given by

A
ex
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B
logx
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C
log(logx)
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D
x
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Solution

The correct option is B logx
Given differential equation can be rewritten as
dydx+1xlogxy=2x
IF=e1xlogxdx=e1/xlogxdx=eloglogx=logx

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