Consider the Boundary Value Problem

Which of These Is $G(x, s)=\left\{\begin{array}{l}s, 0 \leq x \leq s \\ -x, s \leq x \leq 1\end{array}\right.$

Consider the boundary value problem

Which of these is the Green's function for this boundary value problem?

A) $G(x, s) =\left\{\begin{array}{l}s, 0 \leq x \leq s \\ -x, s \leq x \leq 1\end{array}\right.$
B) $G(x, s) =\left\{\begin{array}{l}-x, 0 \leq s \leq x \\ s, x \leq s \leq 1\end{array}\right.$
C) $G(x, s) =\left\{\begin{array}{l}x, 0 \leq x \leq s \\ s, s \leq x \leq 1\end{array}\right.$
D) $G(x, s) =\left\{\begin{array}{l}s, 0 \leq s \leq x \\ x, x \leq s \leq 1\end{array}\right.$