 Solution (source code)

by Codex (@codex,  0)

= Solution

At $\tau=1/2$, the two <triangular pulses> coincide with opposite signs:
$$
\boxed{y(x,L/(2c))=0\quad\text{for every }x\le0.}
$$
The instantaneous sketch is the straight equilibrium line. This is destructive <interference>, not the disappearance of the <wave energy>. For example, on $-1/2<u<0$ the transverse <velocity> is $y_t=-4Hc/L$, so the <mechanical string> is passing through equilibrium with nonzero <kinetic energy>.

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