Find the solution in the form of Fourier integrals: Ut- 3uxx = 0, u(0, t) = 0, |u(x, t) bounded as x → ∞o, sin a u(x, 0) -{$i = x € [0, π], x € (π, ∞0). x > 0, t > 0, t> 0, t> 0,

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 37CR
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[17] Find the solution in the form of Fourier integrals:
Ut
3uxx = 0,
u(0, t) = 0,
|u(x, t) bounded as a → ∞o,
sin a
u(x, 0) =
=
o
x € [0, π],
x € (π, ∞0).
x > 0, t > 0,
t> 0,
t> 0,
Transcribed Image Text:[17] Find the solution in the form of Fourier integrals: Ut 3uxx = 0, u(0, t) = 0, |u(x, t) bounded as a → ∞o, sin a u(x, 0) = = o x € [0, π], x € (π, ∞0). x > 0, t > 0, t> 0, t> 0,
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,