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The left end of a rod of length I is held at temperature 130, and there is heat transfer from the right end into the surrounding medium at temperature zero. The initial temperature at any point is given by f(a). Select the partial differential equation that can be used to model this scenario. 8²u daª J²u Ju Ja J²u 2²u 02:² Ət² Select ALL boundary/initial conditions that apply to this scenario 8²u O A. a² OB.k O c. + It' ¹ 0 0 0 0 = 0, 0 0 A. (L, t) = 0, CB.«(2,0) = 0, c. u(x, 130) = f(x), 00 0 0 t> 0 t> 0

The left end of a rod of length I is held at temperature 130, and there is heat transfer from the right end into the surrounding medium at temperature zero. The initial temperature at any point is given by f(a). Select the partial differential equation that can be used to model this scenario. 8²u daª J²u Ju Ja J²u 2²u 02:² Ət² Select ALL boundary/initial conditions that apply to this scenario 8²u O A. a² OB.k O c. + It' ¹ 0 0 0 0 = 0, 0 0 A. (L, t) = 0, CB.«(2,0) = 0, c. u(x, 130) = f(x), 00 0 0 t> 0 t> 0

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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The left end of a rod of length I is held at temperature 130, and there is heat transfer from the right end into the surrounding medium at temperature zero. The initial temperature at any point is given by f(a). Select the partial differential equation that can be used to model this scenario. 8²u daª J²u Ju Ja J²u 2²u 02:² Ət² Select ALL boundary/initial conditions that apply to this scenario 8²u O A. a² OB.k O c. + It' ¹ 0<x<L₂t> 0 0<x<L,t> 0 = 0, 0<x<L,t> 0 A. (L, t) = 0, CB.«(2,0) = 0, c. u(x, 130) = f(x), 0<x<L ] D. u(x, L) = f(x), 0<x<L t>0 0<a<L E. (,0) 130, 0<x<L OF. u(a,0) = f(x), 0<x<L G. (0,t) = L, OH. u(0, t) = 0, 1. (0, t) 130, t> 0 t> 0 t> 0
Transcribed Image Text:The left end of a rod of length I is held at temperature 130, and there is heat transfer from the right end into the surrounding medium at temperature zero. The initial temperature at any point is given by f(a). Select the partial differential equation that can be used to model this scenario. 8²u daª J²u Ju Ja J²u 2²u 02:² Ət² Select ALL boundary/initial conditions that apply to this scenario 8²u O A. a² OB.k O c. + It' ¹ 0<x<L₂t> 0 0<x<L,t> 0 = 0, 0<x<L,t> 0 A. (L, t) = 0, CB.«(2,0) = 0, c. u(x, 130) = f(x), 0<x<L ] D. u(x, L) = f(x), 0<x<L t>0 0<a<L E. (,0) 130, 0<x<L OF. u(a,0) = f(x), 0<x<L G. (0,t) = L, OH. u(0, t) = 0, 1. (0, t) 130, t> 0 t> 0 t> 0
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At least one of the answers above is NOT correct. ²u ər² 8²u du O A. a² ⒸB.k= əz² 0²u 0x² O C. 8²u Ət²¹ Entered The left end of a rod of length L is held at temperature 130, and there is heat transfer from the right end into the surrounding medium at temperature zero. The initial temperature at any point is given by f(x). Select the partial differential equation that can be used to model this scenario. B Ət AEF 0<x<L,t> 0 0 < a <L,t> 0 8²u at² = 0, 0<x<L,t> 0 B. u(x, 0) = 0, 0<x<L Select ALL boundary/initial conditions that apply to this scenario A. u(L, t) = 0, t> 0 P Oc. u(x, 130) = f(x), 0<x<L OD. u(x, L) = f(x), 0<x<L E. u(x, 0) = 130, 0<x<L ✔F. u(x, 0) = f(x), 0<x<L t> 0 £>0 G. u(0, t) = L, H. u(0, t) = 0, 1. u(0, t) = 130, £>0 Answer Preview B AEF Result correct incorrect
Transcribed Image Text:At least one of the answers above is NOT correct. ²u ər² 8²u du O A. a² ⒸB.k= əz² 0²u 0x² O C. 8²u Ət²¹ Entered The left end of a rod of length L is held at temperature 130, and there is heat transfer from the right end into the surrounding medium at temperature zero. The initial temperature at any point is given by f(x). Select the partial differential equation that can be used to model this scenario. B Ət AEF 0<x<L,t> 0 0 < a <L,t> 0 8²u at² = 0, 0<x<L,t> 0 B. u(x, 0) = 0, 0<x<L Select ALL boundary/initial conditions that apply to this scenario A. u(L, t) = 0, t> 0 P Oc. u(x, 130) = f(x), 0<x<L OD. u(x, L) = f(x), 0<x<L E. u(x, 0) = 130, 0<x<L ✔F. u(x, 0) = f(x), 0<x<L t> 0 £>0 G. u(0, t) = L, H. u(0, t) = 0, 1. u(0, t) = 130, £>0 Answer Preview B AEF Result correct incorrect
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