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1-Classify the following PDES and their associated boundary conditions: (a) PDE: u; – ВС: и(0, 1) %3D0, и(п, 1) %— 0, 1 > 0 (b) PDE: uµ – a(x)²uxx = 0, t > 0, 0 < x < L Uxx = sin x, 0 < x< n, t > 0 - %3D where a(x) is a real and nonzero given function. ВС: и, (0, () %3D и(L, t) %3D 0.

1-Classify the following PDES and their associated boundary conditions: (a) PDE: u; – ВС: и(0, 1) %3D0, и(п, 1) %— 0, 1 > 0 (b) PDE: uµ – a(x)²uxx = 0, t > 0, 0 < x < L Uxx = sin x, 0 < x< n, t > 0 - %3D where a(x) is a real and nonzero given function. ВС: и, (0, () %3D и(L, t) %3D 0.

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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1-Classify the following PDES and their associated boundary conditions: sin x, 0 <x < 7, t > 0 (a) PDE: u; ВС: и(0, г) — 0, u(т, 1) %— 0, 1 > 0 (b) PDE: uu – a(x)²uxx= 0, t > 0, 0 < x < L Uxx where a(x) is a real and nonzero given function. BC: uz(0, t) = ux(L, t) = 0.
Transcribed Image Text:1-Classify the following PDES and their associated boundary conditions: sin x, 0 <x < 7, t > 0 (a) PDE: u; ВС: и(0, г) — 0, u(т, 1) %— 0, 1 > 0 (b) PDE: uu – a(x)²uxx= 0, t > 0, 0 < x < L Uxx where a(x) is a real and nonzero given function. BC: uz(0, t) = ux(L, t) = 0.
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