If a string of length (l), fixed at both ends, is given an initial transverse displacement of

Question:

If a string of length $l$, fixed at both ends, is given an initial transverse displacement of $h$ at $x=l / 3$ and then released, determine its subsequent motion. Compare the deflection shapes of the string at times $t=0, l /(4 c), l /(3 c), l /(2 c)$, and $l / c$ by considering the first four terms of the series solution.

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