Find the solution in the form of Fourier integrals: U₁-3 = 0, uz (0, t) = 0, |u(x, t) bounded as zoo, sin a u(x, 0) -{d T€ [0, π], x € (π,00). x>0,t> 0, t> 0, t> 0,
Find the solution in the form of Fourier integrals: U₁-3 = 0, uz (0, t) = 0, |u(x, t) bounded as zoo, sin a u(x, 0) -{d T€ [0, π], x € (π,00). x>0,t> 0, t> 0, t> 0,
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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![[18] Find the solution in the form of Fourier integrals:
U₁ - 3x = 0,
uz (0, t) = 0,
|u(x, t) bounded as a →∞o,
sin a
u(x, 0) = {
x € [0, π],
x € (π, ∞0).
x > 0, t > 0,
t> 0,
t> 0,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa68164dd-6bba-4aa5-92bc-4824a71db092%2F82d71315-ad86-4476-bab1-c8cdfeba2304%2Faobhadn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[18] Find the solution in the form of Fourier integrals:
U₁ - 3x = 0,
uz (0, t) = 0,
|u(x, t) bounded as a →∞o,
sin a
u(x, 0) = {
x € [0, π],
x € (π, ∞0).
x > 0, t > 0,
t> 0,
t> 0,
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