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The equation of the curve satisfying the differential equation `y_(2)(x^(2)+1)=2xy_(1)` passing through the point (0,1) and having slope of tangent at x=0 and 3 where `(y_(2)` and `y_(1)` represents 2nd and 1st order derivative), then

A

` y = x^2 + 3x +2`

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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