Task 5 (Show manual calculations for this exercise) Let the partial differential equation J²u U= J²u əx² Ət² be given for 0 0 with associated boundary requirement u (0, t) = u (л, t) = 0 for t> 0 and start conditions u (x, 0) = 7 sin (4x) and ut (x, 0) = 0 for 0 0 og u(x, 0) = 7 sin(4x) og ut(x, 0) = 0 for 0 < x < . Determine u = u (x, t) by separating variables -
Task 5 (Show manual calculations for this exercise) Let the partial differential equation J²u U= J²u əx² Ət² be given for 0 0 with associated boundary requirement u (0, t) = u (л, t) = 0 for t> 0 and start conditions u (x, 0) = 7 sin (4x) and ut (x, 0) = 0 for 0 0 og u(x, 0) = 7 sin(4x) og ut(x, 0) = 0 for 0 < x < . Determine u = u (x, t) by separating variables -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Task 5
(Show manual calculations for this exercise)
Let the partial differential equation
J²u
U=
8²u
əx²
Ət²
be given for 0<x< and t> 0 with associated
boundary requirement u (0, t) = u (π, t) = 0 for t> 0 and
start conditions u (x, 0) = 7 sin (4x) and ut (x, 0) = 0 for 0 <x<π.
u(0, t) = u(n, t) = 0 for t > 0 og
u(x, 0) = 7 sin(4x) og ut(x, 0) = 0 for 0 < x < .
Determine u = u(x, t) by separating variables
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F283a229b-00a6-4962-bdd6-fa2744e9b2f7%2Fb89bde54-1351-434a-8b95-de593023cefa%2Fofjx9ku_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Task 5
(Show manual calculations for this exercise)
Let the partial differential equation
J²u
U=
8²u
əx²
Ət²
be given for 0<x< and t> 0 with associated
boundary requirement u (0, t) = u (π, t) = 0 for t> 0 and
start conditions u (x, 0) = 7 sin (4x) and ut (x, 0) = 0 for 0 <x<π.
u(0, t) = u(n, t) = 0 for t > 0 og
u(x, 0) = 7 sin(4x) og ut(x, 0) = 0 for 0 < x < .
Determine u = u(x, t) by separating variables
-
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