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The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by Select the partial differential equation that can be used to model this scenario. 8²u 02:² O B. + 8²u 8²u dx² Ət² 2²u du Əx² Ət Select ALL boundary/initial conditions that apply to this scenario A. u(x, L) = f(x), 00 0 A. a c. k 2 C. = 0, dx \t-L D. (0, t)0, | E. u(L, t) = 0, Ot\x-L du 01. OJ. 8²u Ôt²> dx\x=L du Ət \t-L 0 0 0, 0 0 0< 0 0 0 t> 0 t> 0 t> 0 = 0, 0

The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by Select the partial differential equation that can be used to model this scenario. 8²u 02:² O B. + 8²u 8²u dx² Ət² 2²u du Əx² Ət Select ALL boundary/initial conditions that apply to this scenario A. u(x, L) = f(x), 00 0 A. a c. k 2 C. = 0, dx \t-L D. (0, t)0, | E. u(L, t) = 0, Ot\x-L du 01. OJ. 8²u Ôt²> dx\x=L du Ət \t-L 0 0 0, 0 0 0< 0 0 0 t> 0 t> 0 t> 0 = 0, 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 5CR
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The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by f(x). Select the partial differential equation that can be used to model this scenario. 8²u 02:² O B. + 8²u 8²u dx² Ət² 2²u du əx² Ət Select ALL boundary/initial conditions that apply to this scenario A. u(x, L) = f(x), 0<x<L du B. = 0, t>0 0 A. a c. k C. 2 01. OJ. Ot\x-L du 8²u Ôt²> dx \t-L D. (0, t)0, t> 0 \E.u(L,t}=0, t>0 F. u(0, t) = L, t> 0 G. u(x,0) = f(x), 0<x<L H. (,0) = 0, 0<x<L du = 0, t> 0 dx\x=L du Ət \t-L 0<x<L,t> 0 0, 0<x<L,t> 0 0< <L,t> 0 = 0, 0<x<L = 0, 0<x<L
Transcribed Image Text:The left end of a rod of length I is held at temperature 0, and the right end is insulated. The initial temperature at any point is given by f(x). Select the partial differential equation that can be used to model this scenario. 8²u 02:² O B. + 8²u 8²u dx² Ət² 2²u du əx² Ət Select ALL boundary/initial conditions that apply to this scenario A. u(x, L) = f(x), 0<x<L du B. = 0, t>0 0 A. a c. k C. 2 01. OJ. Ot\x-L du 8²u Ôt²> dx \t-L D. (0, t)0, t> 0 \E.u(L,t}=0, t>0 F. u(0, t) = L, t> 0 G. u(x,0) = f(x), 0<x<L H. (,0) = 0, 0<x<L du = 0, t> 0 dx\x=L du Ət \t-L 0<x<L,t> 0 0, 0<x<L,t> 0 0< <L,t> 0 = 0, 0<x<L = 0, 0<x<L
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