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The solution of the differential equatio...

The solution of the differential equation
`{1/x-y^(2)/(x-y)^(2)}dx+{x^(2)/(x-y)^(2)-1/y}dx=0` is

A

`ln|(x)/(y)|+(xy)/((x-y))=C`

B

`ln|xy|+(xy)/((x-y))=C`

C

`(xy)/((x-y))=Ce^(x//y)`

D

`(xy)/((x-y))=Ce^(xy)`

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The correct Answer is:
A
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