Question: An infinite rod has an initial triangular-pulse displacement function (eta(0, x)=C-|x|) for (|x|

An infinite rod has an initial triangular-pulse displacement function $\eta(0, x)=C-|x|$ for \(|x|

(a) Find the displacement function $\eta(t, x)$ at later times, assuming all mass points in the rod are initially at rest.

(b) Carry out a Fourier transform of $\eta(0, x)$ to determine $g(0, k)$, which shows the degree to which various wavelengths make up the triangular pulse.

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