if y*y=p(x) is polynomial of degree 3 then 2d/dx(y*y*yd2y/d2x)is

As  the exact polynomial is not given, so assume third three polynomial = x3Hence  y2= x32ddx(y3d2ydx2) =So 2y dydx= 3x2dydx=3x22y=3x22x3/2=3x1/22And ddx(dydx) =d2ydx2=32ddx(x1/2)=34×1x1/2Hence 2ddx(y3d2ydx2)=2ddx(x9/2×34×1x1/2)=32ddx(x4)Or 2ddx(y3d2ydx2)=32×4x3 (Ans) 

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