Consider \( \frac{d^{2} G}{d x^{2}}=\delta\left(x-x_{0}\right) \) on \( [0, L] \) with \( \frac{d G}{d x}\left(0, x_{0}\right)=0 \) and \( G\left(L, x_{0}\right)=0 \). (a) Solve \( G\l