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 8²u 00 0² Ət² 8²u 8²u О в. + = 0, 0 0 მე2 Ət² 2²u du 00 A. a²5 c. k əx² Ət Select ALL boundary/initial conditions that apply to this scenario □A. u(x, L) = f(x), 0 0 = ✔C. = 0, dz \t-L ✔D. (0, t) = 0, 01. Ət\z-L du OJ. t> 0 E. (L,t)=0, t> 0 F. (0,t)=L, t> 0 G. u(a,0) = f(x), H. u(x,0) = 0, du = 0, dx \x-L du at 3 = 0, 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 f(x). Select the partial differential equation that can be used to model this scenario. 8²u 8²u 00 0² Ət² 8²u 8²u О в. + = 0, 0 0 მე2 Ət² 2²u du 00 A. a²5 c. k əx² Ət Select ALL boundary/initial conditions that apply to this scenario □A. u(x, L) = f(x), 0 0 = ✔C. = 0, dz \t-L ✔D. (0, t) = 0, 01. Ət\z-L du OJ. t> 0 E. (L,t)=0, t> 0 F. (0,t)=L, t> 0 G. u(a,0) = f(x), H. u(x,0) = 0, du = 0, dx \x-L du at 3 = 0, 0 0 0
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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