2. Solve the following problem V2u - 18 r Or (-) Ju + 20 1 82u r2 002 - (r, 0) = 0, 0, 0
2. Solve the following problem V2u - 18 r Or (-) Ju + 20 1 82u r2 002 - (r, 0) = 0, 0, 0
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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Transcribed Image Text:2. Solve the following problem
V2u
-
18
r Or
(-)
Ju
+
20
1 82u
r2 002
-
(r, 0) = 0,
0, 0<r <a, окок
ди
20
(r, 5) = 0,
2
u(a,0) = f(0), осок
KIN
0<r<a
-
Ans. u(r,0) = 40+-+ Anr2n cos 2n0, where o=3/2f(0)d0, An
KIN
2
4
a2n п
π/2
/2 f(0) cos 2no do
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