10. Solve the following boundary value problems for the Laplace equation on a square of side : (V²u(x, y) = 0, |u(0, y) = u(x, 0) = 0, u(π, y) = sin(2y), (u(x, π) = sin(3x).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 35CR
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10. Solve the following boundary value problems for the Laplace equation on a square of side :
V²u(x, y) = 0,
u(0, y) = u(x, 0) = 0,
u(π, y) = sin(2y),
(u(x, π) = sin(3x).
Transcribed Image Text:10. Solve the following boundary value problems for the Laplace equation on a square of side : V²u(x, y) = 0, u(0, y) = u(x, 0) = 0, u(π, y) = sin(2y), (u(x, π) = sin(3x).
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,