Question: is this correct? P13.19 Is the function 2x21 an eigenfunction of the dx2d2(2x21)=4 operator (3/2x2)(d2/dx2)+2x(d/dx) ? If so, what is dxd(2x21)=4x the eigenvalue? A^f(x)=[(23+x2)(dx2d2)+2x(dxd)](2x21)=(23+x2)4+2x(4x)=212+4x2+8x2=6+12x2=6(2x21)2x21isaneigenfunctionoftheoperator(23x2)(dx2d2)+2x(dxd), the

is this correct?

P13.19 Is the function 2x21 an eigenfunction of the dx2d2(2x21)=4 operator (3/2x2)(d2/dx2)+2x(d/dx) ? If so, what is dxd(2x21)=4x the eigenvalue? A^f(x)=[(23+x2)(dx2d2)+2x(dxd)](2x21)=(23+x2)4+2x(4x)=212+4x2+8x2=6+12x2=6(2x21)2x21isaneigenfunctionoftheoperator(23x2)(dx2d2)+2x(dxd), the eigen value is 6

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