Show that (G_{2}left(x, x^{prime} ight)) is also a Green's function for the Schrdinger operator, as is (G_{1}left(x,
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Show that \(G_{2}\left(x, x^{\prime}\right)\) is also a Green's function for the Schrödinger operator, as is \(G_{1}\left(x, x^{\prime}\right)\), and that their difference is a solution of the homogenous Schrödinger operator.
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