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3. We return to the problem of the plucked string discussed in Chapter 1. Show that the initial condition f is equal to its Fourier sine series 2h sin mp f(r) = Am sin mx with Am m² p(a – p)' m=1 [Hint: Note that |A„|

3. We return to the problem of the plucked string discussed in Chapter 1. Show that the initial condition f is equal to its Fourier sine series 2h sin mp f(r) = Am sin mx with Am m² p(a – p)' m=1 [Hint: Note that |A„|

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. We return to the problem of the plucked string discussed in Chapter 1. Show that the initial condition f is equal to its Fourier sine series 2h sin mp f(s)-ΣA. sin ma with Am m² p(r – p) m=1 [Hint: Note that |Am| <C/m².]
Transcribed Image Text:3. We return to the problem of the plucked string discussed in Chapter 1. Show that the initial condition f is equal to its Fourier sine series 2h sin mp f(s)-ΣA. sin ma with Am m² p(r – p) m=1 [Hint: Note that |Am| <C/m².]
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