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
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
No written by hand solution
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3493b49b-d2b2-43ed-b307-30153378920e%2F3f4a08f3-a259-45c6-8f95-05c23dc09fa3%2Flzmo5bt_processed.jpeg&w=3840&q=75)
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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