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The equation of the curve satisfying the...

The equation of the curve satisfying the differential equation `y_2(x^2+1)=2x y_1` passing through the point (0,1) and having slope of tangent at `x=0` as 3 (where `y_2` and `y_1` represent 2nd and 1st order derivative), then (a) `( b ) (c) y=f(( d ) x (e))( f )` (g) is a strictly increasing function (h) `( i ) (j) y=f(( k ) x (l))( m )` (n) is a non-monotonic function (o) `( p ) (q) y=f(( r ) x (s))( t )` (u) has a three distinct real roots (v) `( w ) (x) y=f(( y ) x (z))( a a )` (bb) has only one negative root.

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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