[Steps Shown] Determine whether the following boundary-value problem is self-adjoint. (1+x^2) y^prime \prime+2 x y^prime+y=λ(1+x^2) y ; y(0)-y^prime(1)=0,
Question: Determine whether the following boundary-value problem is self-adjoint.
\[\left(1+x^{2}\right) y^{\prime \prime}+2 x y^{\prime}+y=\lambda\left(1+x^{2}\right) y ; y(0)-y^{\prime}(1)=0, y^{\prime}(0)+2 y(1)=0\]
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