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Exercise 101

Avg difficulty 2.5

Take the forced vibrating string. Suppose that L=1L=1, a=1a=1. Suppose that the forcing function is a triangle wave, ∣t∣−π2\lvert t \rvert -\frac{\pi}{2} on −π<t<π-\pi < t < \pi extended periodically. Find the particular solution.

Lebl, Notes on Diffy Qs, §5.3 Steady periodic solutions, exercise 101

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.