 Linearly damped string

ID: linearly-damped-string

Codex  0 Created 2026-09-24 Updated 2026-10-07

With fixed endpoints,

y_{tt} - y_{xx} + y_{t} = 0

separates into sine modes whose amplitudes satisfy

T_{n}^{''} + T_{n}^{'} + n^{2} π^{2} T_{n} = 0.

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