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i Let the domain be C := {(x, y, z) E R³ :1 < x² + y? + 2² < 9}. Solve Au = 0 in C, %3| u(x, y, z) = 0 on {(x,y, z) E R³ : 1 = x² + y² + 2²}, u(x, y, z) = 1 on {(x, y, z) E R³ : x² + y² + z² = 9}.

i Let the domain be C := {(x, y, z) E R³ :1 < x² + y? + 2² < 9}. Solve Au = 0 in C, %3| u(x, y, z) = 0 on {(x,y, z) E R³ : 1 = x² + y² + 2²}, u(x, y, z) = 1 on {(x, y, z) E R³ : x² + y² + z² = 9}.

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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Partial differential equation

· Let the domain be C := {(x, y, z) E R³ : 1 < x² + y² + z² < 9}. Solve Au = 0 in C, on {(x, y, z) E R³ :1 = x² + y? + z²}, on {(r, y, z) E R³ : x² + y² + z² = 9}. u(x, y, z) = u(x, y, z) = 1
Transcribed Image Text:· Let the domain be C := {(x, y, z) E R³ : 1 < x² + y² + z² < 9}. Solve Au = 0 in C, on {(x, y, z) E R³ :1 = x² + y? + z²}, on {(r, y, z) E R³ : x² + y² + z² = 9}. u(x, y, z) = u(x, y, z) = 1
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