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The solution of (dy)/(dx)+(y)/(x)=(1)/((...

The solution of `(dy)/(dx)+(y)/(x)=(1)/((1+log x+log y)^(2))` is given by

A

`xy(1+log(xy))=C`

B

`xy^(2)(1+log(xy))=C`

C

`xy(1+log(xy))^(2)=C`

D

`xy(1+(logxy)^(2))-x^2/2=C`

Text Solution

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The correct Answer is:
D
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