satisfies the homogeneous differential equations leftfracd2d t2omega2r
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) Show that the difference of the two particular solutions above, G_{R}\left(t-t^{\prime}\right)-G_{A}\left(t-t^{\prime}\right) satisfies the homogeneous differential equations -\left(\frac{d^{2}}{d t^{2}}+\omega^{2}\right) G_{0}\left(t, t^{\prime}\right)=0