Find the generalized solution to the following heat equation Ju a(x) at 3x (7(x)) = 3(x)u, 0 < x 0, ди a₁u(0,t)+31(0,t) = 0, t>0, ди aqu(l,t)+(l,t) = 0, t>0, Ox u(x, 0) = f(x), 0 0, 7(x) > 0, and ß(x) > 0 for 0 < x < 1.
Find the generalized solution to the following heat equation Ju a(x) at 3x (7(x)) = 3(x)u, 0 < x 0, ди a₁u(0,t)+31(0,t) = 0, t>0, ди aqu(l,t)+(l,t) = 0, t>0, Ox u(x, 0) = f(x), 0 0, 7(x) > 0, and ß(x) > 0 for 0 < x < 1.
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 15CR
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Transcribed Image Text:Find the generalized solution to the following heat equation
Ju
a(x)
at
3x (7(x)) = 3(x)u, 0 < x <l, t>0,
ди
a₁u(0,t)+31(0,t) = 0, t>0,
ди
aqu(l,t)+(l,t) = 0, t>0,
Ox
u(x, 0) = f(x), 0<x<l,
where a() > 0, 7(x) > 0, and ß(x) > 0 for 0 < x < 1.
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