Question 4: Using the method of separation of variables solve the heat equation ди 0 < x < 1, t > 0 6- for the boundary conditions u(0, t) = u(1, t) = 0, t > 0 and initial condition u(x,0) = 10(1 – x), 0 < x < 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 4: Using the method of separation of variables solve the heat
equation
du
0 < x < 1, t > 0
6.
for the boundary conditions u(0, t) = u(1, t) = 0, t > 0 and initial condition
u(г,0) %3D 10(1 — т), 0 <т<1.
Transcribed Image Text:Question 4: Using the method of separation of variables solve the heat equation du 0 < x < 1, t > 0 6. for the boundary conditions u(0, t) = u(1, t) = 0, t > 0 and initial condition u(г,0) %3D 10(1 — т), 0 <т<1.
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