:// xydrdy Am = A00 %3D 0 0 3= The value of Am0 is, 1 1 Amo = 2 ху cos mлxdxady 0 0 cos mл — 1 , -ydy = 2 m² n² (-1)" –1 %3D m² n²
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I don't understand the value of A00 and Amo.Can you please explain it to me. Thank you.
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00
00
u (x, y, t) = A00 +
E Amo e
-km² n²t
E Aone
e-kn²n²t
cos nny
cos MTX +
%3D
n=1
n=1
(13)
00 00
cos MTX cos nty
m=1 n=1
At boundary conditions = 0, - = 0,
ди
ди
ди
ди
= 0,
—D 0 and u (х, у, 0) — ху,
dx Ix=0
dy ly=0
dy ly=1
The value of A00 is,
1
1
!!
4
A00
хуахdy
72
0 0
The value of Am0 is,
Amo
ху сos mлxdxdy
= 2
0 0
1
1
-ydy
cos MT
= 2
m2 n2
(-1)" –1
m2 n2
The value of Aon is,
1
1
!!
Aon = 2
ху сos плуdxdy
0 0
(-1)"–1
n² n2
Th.
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Amn = 4
ху сos mлx sin плуdхdy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca708747-373f-4dbe-b127-10492ca0e68f%2F6bd08b0a-7482-465e-99ba-9050298cadd5%2F829e8ag_processed.png&w=3840&q=75)
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