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The solution of the differential equatio...

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

A

`ye ^(tan^(-1)x ) = tan^(-1) x + C`

B

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

C

`y = tan^(-1) x e^(tan^(-1)x) +C`

D

`y = xe^(tan^(-1)x) + C`

Text Solution

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The correct Answer is:
B
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BITSAT GUIDE-DIFFERENTIAL EQUATIONS-BITSAT ARCHIVES
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