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Find the solution u( x, y) of Laplaces equation in the rectangle 0 < x < a, 0 < y < b

Elementary Differential Equations and Boundary Value Problems | 11th Edition | ISBN: 9781119256007 | Authors: Boyce, Diprima, Meade ISBN: 9781119256007 392

Solution for problem 2 Chapter 10.8

Elementary Differential Equations and Boundary Value Problems | 11th Edition

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Elementary Differential Equations and Boundary Value Problems | 11th Edition | ISBN: 9781119256007 | Authors: Boyce, Diprima, Meade

Elementary Differential Equations and Boundary Value Problems | 11th Edition

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Problem 2

Find the solution u( x, y) of Laplaces equation in the rectangle 0 < x < a, 0 < y < b, that satisfies the boundary conditions u(0, y) = 0, u(a, y) = 0, 0 < y < b, u( x, 0) = h( x), u( x, b) = 0, 0 < x < a.

Step-by-Step Solution:
Step 1 of 3

a t\.+ftI -.,-,. ibr^J^$u,6ske J>6;;tglts/u _- APpttA,ii o{ru; ; Tnc*os,no, an/D

Xr rly+ADZ{G,) _.*_ x, reeAtn :-La*-kob* X1 XL CtrT* y',qL/onG,A-) C+,D *U-,t) D iTf {bco 6 /*.iaC*,Orb b; tsd.o-cNlJnan (a-,6) i )*,sb*;;Ci,:b) r{-@po Wr=* e*,r(a C*,{ca) C^,fe+) lVt^rrb; Att ch^goin[kD occ4;a*cr,h;"4 Mr*,fu-ts,

Step 2 of 3

Chapter 10.8, Problem 2 is Solved
Step 3 of 3

Textbook: Elementary Differential Equations and Boundary Value Problems
Edition: 11
Author: Boyce, Diprima, Meade
ISBN: 9781119256007

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Find the solution u( x, y) of Laplaces equation in the rectangle 0 < x < a, 0 < y < b