3. Use the Fourier-Poisson formula to find the limit as t→ ∞ of the solution to the problem U₁ = xUzz, TER, t > 0, x < 0 U (x, 0) = { 1 x > 0. 3 Plot the solutions at several instants of time and describe in qualitative terms the behaviour of the solution to as t→∞o. What is limt → U(x, t)?
3. Use the Fourier-Poisson formula to find the limit as t→ ∞ of the solution to the problem U₁ = xUzz, TER, t > 0, x < 0 U (x, 0) = { 1 x > 0. 3 Plot the solutions at several instants of time and describe in qualitative terms the behaviour of the solution to as t→∞o. What is limt → U(x, t)?
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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Question
![3. Use the Fourier-Poisson formula to find the limit as t→∞ of the solution to the problem
U₁ = XUIT,
3 x < 0
U(x,0) = { } 1 x > 0.
TER, t > 0,
Plot the solutions at several instants of time and describe in qualitative terms the behaviour
of the solution to as too. What is limt → U(x, t)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bc9583c-2eed-433e-b3be-99cb5345471a%2F16d420dc-00cb-4b5e-8820-2a69234155a5%2Fn4h3yv_processed.png&w=3840&q=75)
Transcribed Image Text:3. Use the Fourier-Poisson formula to find the limit as t→∞ of the solution to the problem
U₁ = XUIT,
3 x < 0
U(x,0) = { } 1 x > 0.
TER, t > 0,
Plot the solutions at several instants of time and describe in qualitative terms the behaviour
of the solution to as too. What is limt → U(x, t)?
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