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The solution of differential equation ...

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

A

`y(x^(2)-1) = (1)/(2) log abs((x-1)/(x+1)) + C`

B

`y(x^(2)-1) = (1)/(2) log abs ((x-1)/(x+1))+C`

C

`y(x^(2)+1) = (1)/(3) log abs ((x-1)/(x+1)) + C`

D

`y(x^(2)-1) = (1)/(3) log abs((x-1)/(x+1)) + C`

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The correct Answer is:
A
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