аги Solve Laplace's equation, ax² given boundary conditions. u(0, y) = 0, + ay² 0, 0 < x
аги Solve Laplace's equation, ax² given boundary conditions. u(0, y) = 0, + ay² 0, 0 < x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
Question

Transcribed Image Text:аги
Solve Laplace's equation,
ax²
given boundary conditions.
u(0, y) = 0,
+
ay²
0, 0 < x <a, 0 < y < b, (see (1) in Section 12.5) for a rectangular plate subject to the
u(1, y) = 1 y
y = 1
= 0
ди
ди
= 0,
ду
ду
ly = 0
u(x, y) = Ax
+
∞
n = 1
4_sinh(nx)cos(ay)
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