Solve the one-dimensional heat equation over 0 ≤ x ≤ L given below where к and To are constants. Give explicit formulae for all integrals (i.e. evaluate all integrals). ut = КИхх u(t, 0) = To ux (t, L) = 0 u(0, x) = To (1 − 1 ) ² 2 -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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Solve the one-dimensional heat equation over 0 ≤ x ≤ L given below
where к and To are constants. Give explicit formulae for all integrals (i.e.
evaluate all integrals).
ut = КИхх
u(t, 0) = To
ux (t, L) = 0
u(0, x) = To (1 − 1 ) ²
2
-
Transcribed Image Text:Solve the one-dimensional heat equation over 0 ≤ x ≤ L given below where к and To are constants. Give explicit formulae for all integrals (i.e. evaluate all integrals). ut = КИхх u(t, 0) = To ux (t, L) = 0 u(0, x) = To (1 − 1 ) ² 2 -
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