The solution of the differential equatio...

The solution of the differential equation `(dy)/(dx)= (x)/(1 + x^(2))` is

A

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

B

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

C

`y=1/2log_(e) (1+x^2) +c`

D

`y=-1/2log_(e) (1+x^2) +c`

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The correct Answer is:

C

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