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The particular solution of the different...

The particular solution of the differential equation `xy (dy)/(dx)=(1+y^(2))/(1+x^(2))(1+x+x^(2))` given that when x=1, y=0 is ……….

A

In `sqrt(1+y^(2))=In(x)+tan^(-1)(x)-(pi)/2`

B

`In ((1+y^(2))/(x^(2)))=2tan^(-1)(x)-(pi)/2`

C

`In((1+y^(2))/(x^(2)))=(pi)/4-2tan^(-1)x`

D

`In((1+y^(2))/(x^(2)))=tan^(-1)(x)-(pi)/4`

Text Solution

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The correct Answer is:
B
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