Solve Laplace's equation, given boundary conditions. u(0, y) = 0, u(x, 0) u(x, y) = 0 Σ n=1 100, sin (max) Need Help? a²u a²u + = 0,0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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help, need solution and answer simplified to sin and cos only.

a²u
a²u
Solve Laplace's equation, + = 0,0<x<a, 0 <y<b, (see (1) in Section 12.5) for a rectangular plate subject to the
ax² Əy²
given boundary conditions.
u(0, y) = 0,
u(x, 0)
u(x, y) = 0
Σ
100,
sin (max)
Need Help?
u(1, y) = 0
u(x, 1) = 400
200((-1)"+1+1)
+1) cosh (ny) 200[1+ (−1)^+I\sinh(nty)( 4 esch(zo) — coth(n))
Read It
711
R
Transcribed Image Text:a²u a²u Solve Laplace's equation, + = 0,0<x<a, 0 <y<b, (see (1) in Section 12.5) for a rectangular plate subject to the ax² Əy² given boundary conditions. u(0, y) = 0, u(x, 0) u(x, y) = 0 Σ 100, sin (max) Need Help? u(1, y) = 0 u(x, 1) = 400 200((-1)"+1+1) +1) cosh (ny) 200[1+ (−1)^+I\sinh(nty)( 4 esch(zo) — coth(n)) Read It 711 R
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