Consider the BVP of 2D Laplace equation with axial symmetry in an annulus 10 r Ər u(1) = 3, u(R) = UR (rou) = 0, r ≤ (1, R) In our mathematical abstraction in the case of large R, we want to replace the BVP for r € (1, R) with one for r = (1, 0). Which one below should we use? O None of the BVPs listed. 0 1 O 18 ¹-2 (rou) = 0, r ≤ (1, ∞0) dr u(1) = 3, u(co) = 0 2/ (73) = = 0, re (1,00) r Ər u(1) 3, u(oo) = 1 Ə - 3 (73²) = 0, r ≤ (1,∞) dr u(1)=3, u(x) = finite 1 8 of ¹ d ( du Tər u(1)=3, u(x) = UR - (ru) = 0, = 0, re (1, ∞0) 4
Consider the BVP of 2D Laplace equation with axial symmetry in an annulus 10 r Ər u(1) = 3, u(R) = UR (rou) = 0, r ≤ (1, R) In our mathematical abstraction in the case of large R, we want to replace the BVP for r € (1, R) with one for r = (1, 0). Which one below should we use? O None of the BVPs listed. 0 1 O 18 ¹-2 (rou) = 0, r ≤ (1, ∞0) dr u(1) = 3, u(co) = 0 2/ (73) = = 0, re (1,00) r Ər u(1) 3, u(oo) = 1 Ə - 3 (73²) = 0, r ≤ (1,∞) dr u(1)=3, u(x) = finite 1 8 of ¹ d ( du Tər u(1)=3, u(x) = UR - (ru) = 0, = 0, re (1, ∞0) 4
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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