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The solution of the differential equatio...

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

A

`1/2log(1+y)^2=logx-tan^(-1)x+c`

B

`1/2log(1+y)^2=logx+tan^(-1)x+c`

C

`log(1+y)^2=logx-tan^(-1)x+c`

D

`log(1+y)^2=logx+tan^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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