Ut kuxx u(x, 0) = 0 u(0, t) = -1, The steady state solution u (x) satisfies Find us (x). Consider the IBVP ○ u∞ (x) = 3(x/L)² – 1 O ux(x) = 2x/L-1 u(x) = 1-2x/L ○ u(x) = 2x/L = u∞ (x) = 3x/L – 1 u(L,t) = 2 [u" (x) = 0 (0) = == U∞ -1, U∞ (L) = 2*
Ut kuxx u(x, 0) = 0 u(0, t) = -1, The steady state solution u (x) satisfies Find us (x). Consider the IBVP ○ u∞ (x) = 3(x/L)² – 1 O ux(x) = 2x/L-1 u(x) = 1-2x/L ○ u(x) = 2x/L = u∞ (x) = 3x/L – 1 u(L,t) = 2 [u" (x) = 0 (0) = == U∞ -1, U∞ (L) = 2*
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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![Consider the IBVP
Find u
kuxx
u(x,0) = 0
u(0, t) = -1,
(x).
Ut
u(L, t) = 2
The steady state solution u∞ (x) satisfies
{
=
u∞(x) = 3(x/L)² – 1
u∞ (x) = 2x/L – 1
u∞ (x) = 1 — 2x/L
ux(x) = 2x/L
○ u∞ (x) = 3x/L – 1
ux (x) = 0
u∞ (0) = -1,
u∞ (L) = 2*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F165de390-722e-4737-8740-e1753f2e69f9%2F31a3738f-9fe0-48d7-8e9a-d487de28aa62%2Fj3ut1b6m_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the IBVP
Find u
kuxx
u(x,0) = 0
u(0, t) = -1,
(x).
Ut
u(L, t) = 2
The steady state solution u∞ (x) satisfies
{
=
u∞(x) = 3(x/L)² – 1
u∞ (x) = 2x/L – 1
u∞ (x) = 1 — 2x/L
ux(x) = 2x/L
○ u∞ (x) = 3x/L – 1
ux (x) = 0
u∞ (0) = -1,
u∞ (L) = 2*
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