3. Solve the heat equation ди k- for 2 < x < 4, and t > 0 with the boundary conditions u(2, t) = 0 and u(4, t) = 0, for t > 0, %3D and the initial value condition u(x, 0) = x for x E [2, 4|.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Solve the heat equation
ди
k-
for 2 < x < 4, and t >0
with the boundary conditions
u(2, t) = 0 and u(4, t) = 0, for t > 0,
%3D
and the initial value condition
u(x, 0) = x for x E [2, 4].
Transcribed Image Text:3. Solve the heat equation ди k- for 2 < x < 4, and t >0 with the boundary conditions u(2, t) = 0 and u(4, t) = 0, for t > 0, %3D and the initial value condition u(x, 0) = x for x E [2, 4].
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