11. Let D= {x ER: 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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
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11. Let D= {x ER: 0<x<1}.
(b) Find the solution of the heat equation uxx = ut in D x [0, co) such that u(x, 0) =
cos(7πx) and ux(0, t) = ux(1, t) = 0. Find the limit of u(x, t) as t→ ∞.
Transcribed Image Text:11. Let D= {x ER: 0<x<1}. (b) Find the solution of the heat equation uxx = ut in D x [0, co) such that u(x, 0) = cos(7πx) and ux(0, t) = ux(1, t) = 0. Find the limit of u(x, t) as t→ ∞.
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