The equation of the curve satisfying the differential equation \( y... VIDEO
The equation of the curve satisfying the differential equation \( y_{2}\left(x^{2}+1\right)=2 x y_{1} \) passing through the point
\( \mathrm{P} \) \( (0,1) \) and having slope of tangent at \( x=0 \) as 3 (where \( y_{2} \)
W and \( y_{1} \) represent 2 nd and 1 st order derivative), then
(1) \( y=f(x) \) is a strictly increasing function
(2) \( y=f(x) \) is a non-monotonic function
(3) \( y=f(x) \) has three distinct real roots
(4) \( y=f(x) \) has only one negative root
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