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Consider the Boundary Value problem a²u + = 0, 0 < x, y < 8 dy? и(х,0) — а(8 — г), и(п,8) — 0, 0<а<8 u(0, у) — 0, и(8, у) — 0, 0<у < 8 Using the separation of variables method, the solution u(x, y), is given by the series sinh (n (8 – u) (n-) 00 4 u(x, y) bn sin sinh(n 7) where bn =

Consider the Boundary Value problem a²u + = 0, 0 < x, y < 8 dy? и(х,0) — а(8 — г), и(п,8) — 0, 0<а<8 u(0, у) — 0, и(8, у) — 0, 0<у < 8 Using the separation of variables method, the solution u(x, y), is given by the series sinh (n (8 – u) (n-) 00 4 u(x, y) bn sin sinh(n 7) where bn =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Assignment06: Problem 15 Consider the Boundary Value problem + = 0, 0< a, y < 8 dy? u(а, 0) — 2(8 — т), и(г,8) — 0, 0<т<8 u(0, у) — 0, и(8, у) — 0, 0<у< 8 Using the separation of variables method, the solution u(x, y), is given by the series sinh (n(8 – u) 4 u(x, y) bn sin (n %3D 73 n=1 sinh(n n) where bn =
Transcribed Image Text:Assignment06: Problem 15 Consider the Boundary Value problem + = 0, 0< a, y < 8 dy? u(а, 0) — 2(8 — т), и(г,8) — 0, 0<т<8 u(0, у) — 0, и(8, у) — 0, 0<у< 8 Using the separation of variables method, the solution u(x, y), is given by the series sinh (n(8 – u) 4 u(x, y) bn sin (n %3D 73 n=1 sinh(n n) where bn =
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