 Solution (source code)

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= Solution

\b[Yes.] The <wave equation> is linear and homogeneous. For $\mathcal W=\partial_x^2-c^{-2}\partial_t^2$ and constants $A,B$,
$$
\mathcal W(Af_1+Bf_2)=A\mathcal Wf_1+B\mathcal Wf_2.
$$
If both terms on the right vanish, their combination is also a solution. Thus the <superposition principle> applies, and it also preserves homogeneous fixed-end <boundary conditions>.

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