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The solution to the differential equatio...

The solution to the differential equation `(1+y^(2))+(x-e^(tan^(-1)y))(dy)/(dx)=0` is

A

`(x-2)=ke^(-tan^(-1)y)`

B

`2xe^(tan-1y)=e^(2tan-1y)+k`

C

`xe^(tan-1)y=tan^(-1)y+k`

D

`xe^(2tan-1y)=e^(tan-1y)+k`

Text Solution

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The correct Answer is:
B
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