Differential Equations and The - Braun, Martin 7579 · Problem 2.12.10

Introduction to Applied Nonlinear Dynamical Systems and Chaos — Braun, Martin 7579

Mathematics — Calculus · laplace-transform-absolute-value

Problem

Find the Laplace transform of ∣sin⁡t∣|\sin t|. Hint: Observe that ∣sin⁡t∣=sin⁡t+2∑n=1∞Hnπ(t)sin⁡(t−nπ).|\sin t|=\sin t+2\sum_{n=1}^{\infty}H_{n\pi}(t)\sin(t-n\pi).

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