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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
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*
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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