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Select the partial differential equation that can be used to model this scenario. J²u Ju A.k- dz² B. a² Ət 8²u 3²u 0 0 əz² Ət² 8²u 2²u O c. + = 0, 0 0 02:² Ət² DA. Select ALL boundary/initial conditions that apply to this scenario du de dz du M. 1-0 du 00 B. = 0, t>0 at 12-0 c. u(0,1)=0, t>0 UD. at lt-o E. u(x,0) = L, 00 t>0 = f(x), 00 DL. = 0, t>0 = 0, t> 0 Ot\z-L du Əzz-0 du Əz \z-L

Select the partial differential equation that can be used to model this scenario. J²u Ju A.k- dz² B. a² Ət 8²u 3²u 0 0 əz² Ət² 8²u 2²u O c. + = 0, 0 0 02:² Ət² DA. Select ALL boundary/initial conditions that apply to this scenario du de dz du M. 1-0 du 00 B. = 0, t>0 at 12-0 c. u(0,1)=0, t>0 UD. at lt-o E. u(x,0) = L, 00 t>0 = f(x), 00 DL. = 0, t>0 = 0, t> 0 Ot\z-L du Əzz-0 du Əz \z-L

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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A string of length L is secured at both ends. The string is released from rest with initial displacement f(x) at any point. Choose the PDE and boundary/initial conditions that model this scenario. Select the partial differential equation that can be used to model this scenario. A. k- B. a A. 8²u D. 8:² 2²u მე:2 OM. dx li=0 du = J²u მე-2 Select ALL boundary/initial conditions that apply to this scenario du Otx=L du Du Ət 8x₂-0 du 3 8²u 0<x<L,t> 0 Ət² = 0, 0<x<L,t> 0 8²u dt² OB. = 0, t> 0 Ət 2-0 □c.u(0,t) = 0, t>0 du 0<x<L,t> 0 7 dx \x-L = f(x), 0<x<L Ət lt-0 □E. u(x,0) = L, 0<x<L OF. u(x, L) = f(x), 0<x<L G. (0, t) = L, t>0 H. (L, t) = 0, t> 0 1. u(a,0) = 0, 0<a<L J. u(a,0) = f(x), 0 < x < L du OK. = 0, t> 0 OL = 0, t> 0 = 0, t>0 = f(x), 0<x<L
Transcribed Image Text:A string of length L is secured at both ends. The string is released from rest with initial displacement f(x) at any point. Choose the PDE and boundary/initial conditions that model this scenario. Select the partial differential equation that can be used to model this scenario. A. k- B. a A. 8²u D. 8:² 2²u მე:2 OM. dx li=0 du = J²u მე-2 Select ALL boundary/initial conditions that apply to this scenario du Otx=L du Du Ət 8x₂-0 du 3 8²u 0<x<L,t> 0 Ət² = 0, 0<x<L,t> 0 8²u dt² OB. = 0, t> 0 Ət 2-0 □c.u(0,t) = 0, t>0 du 0<x<L,t> 0 7 dx \x-L = f(x), 0<x<L Ət lt-0 □E. u(x,0) = L, 0<x<L OF. u(x, L) = f(x), 0<x<L G. (0, t) = L, t>0 H. (L, t) = 0, t> 0 1. u(a,0) = 0, 0<a<L J. u(a,0) = f(x), 0 < x < L du OK. = 0, t> 0 OL = 0, t> 0 = 0, t>0 = f(x), 0<x<L
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