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Let y=y(x)be the solution of the differ...

Let `y=y(x)`be the solution of the differential equation, `(x^(2)+1)^(2)(dy)/(dx)+2x(x^(2)+1)y=1` such that `y(0)=0 `If`sqrt(a)y(1)=pi/32` then the value of ’a’ is`1/(2alpha)` . The value of is ________.

A

`1/4`

B

`1/(16)`

C

`1/2`

D

`1`

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The correct Answer is:
B
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