How did you get 4/(pi)^2. Can you please explain it
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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How did you get 4/(pi)^2. Can you please explain it to me. Thank you
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Math / Adv
ixdxady ...
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O cos ...
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Math / Bundle: Differential Equations with Boundary-Value Proble...
In Problems 1 and 2 solve the heat equation (1) subj...
: In Problems 1 and 2 solve the heat equation (1) subject to the given conditions. 2. d u...
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00
u (x, y, t) = Ao0 + >, Amoe-km² n²t
cos MAX + ' A0ne-kn²n²1
cos NAy
n=1
n=1
(13)
ΣΣΑ
,-k(m² +n² )x²t
+
cos mлxcos nлу
m=1 n=1
= 0, d = 0, = 0, d = 0 and u (x, y, 0) = xy,
ди
ди
ди
At boundary conditions
%3D
ду Ту-0
dy ly=1
The value of A00 is,
1
1
:// xydxdy
A00 =
The value ofAmo is,
1
1
Am0 = 2
ху cos mлxdxdy
cos MT – 1
-ydy
= 2
m²72
(-1)"–1
m² n2
The value of Aon is,
--
1
1
Aon = 2
ху cos nлуdxdy
0 0
(-1)"–1
%3D
n²n2
Ex
Thovolueof A
X GET 10 FREE QUESTIONS
Amn = 4 | | xy cos mnx sin naydxdy
Step 1
1."
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x xydrdy Am =...
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6:25 PM Sun Apr 25
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Math / Adv
ixdxady ...
AA
A bartleby.com
:// xydrdy
O cos ...
Patterns
Loop-it Puff..
* Patterns fro...
G jaya amitabh...
X Problems 1 a...
Facebook - L...
= bartleby
Q Search for textbooks, step-by-step explanatio...
E Ask an Expert
Math / Bundle: Differential Equations with Boundary-Value Proble...
In Problems 1 and 2 solve the heat equation (1) subj...
: In Problems 1 and 2 solve the heat equation (1) subject to the given conditions. 2. d u...
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00
u (x, y, t) = Ao0 + >, Amoe-km² n²t
cos MAX + ' A0ne-kn²n²1
cos NAy
n=1
n=1
(13)
ΣΣΑ
,-k(m² +n² )x²t
+
cos mлxcos nлу
m=1 n=1
= 0, d = 0, = 0, d = 0 and u (x, y, 0) = xy,
ди
ди
ди
At boundary conditions
%3D
ду Ту-0
dy ly=1
The value of A00 is,
1
1
:// xydxdy
A00 =
The value ofAmo is,
1
1
Am0 = 2
ху cos mлxdxdy
cos MT – 1
-ydy
= 2
m²72
(-1)"–1
m² n2
The value of Aon is,
--
1
1
Aon = 2
ху cos nлуdxdy
0 0
(-1)"–1
%3D
n²n2
Ex
Thovolueof A
X GET 10 FREE QUESTIONS
Amn = 4 | | xy cos mnx sin naydxdy
Step 1
1.

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X xydrdy Am =...
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Math / Advanced Math / Q&A Library / :// xydrdy Am = A00 %3D 0 0 3= The value of Am0 is, 11 Amo = 2 xy cos mëxdxady ...
:// xydrdy Am = A00 %3D 0 0 3= The value of Am0 is, 11 Amo = 2 xy cos mëxdxady 0 0 cos...
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Expert Answer
Step 1
Solution
A00 =
S nydady
CS Scanned with CamScanner
Step 2
1.
x da )dy
72
4
1.
dy
음료 Sg.(을 ~알)서
1.
y..dy
72
Expert Solution
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