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The solution of the differential equatio...

The solution of the differential equation `(x ^(2) +1)(d^(2)y)/(dx ^(2)) =2x (dy)/(dx)` under the conditions y(0)=1 and y '(0) =3,` is

A

`y=x ^(2) +3x +1`

B

` y= x^(3)+3x +1`

C

`y-x ^(4) +3x +1`

D

` y=3 tan ^(-1) x+x^(2) +1`

Text Solution

Verified by Experts

The correct Answer is:
B
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