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The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)+(y)/(x)=(1)/((1+lnx+lny)^(2))` is (where, c is an arbitrary constant)

A

`xy[1+(ln(xy)^(2))]=(x^(2))/(2)+c`

B

`1+(ln(xy))^(2)=(x^(2))/(2)+y+c`

C

`xy(1+ln(xy))=(x^(2))/(2)+c`

D

`xy(1+ln(xy))=(x)/(2)+c`

Text Solution

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The correct Answer is:
A
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