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

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

Solution for problem 14 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 14

a. Find the solution u( x, y) of Laplaces equation in the rectangle 0 < x < a, 0 < y < b, that satisfies the boundary conditions ux(0, y) = 0, ux (a, y) = 0, 0 < y < b, u( x, 0) = 0, u( x, b) = g( x), 0 < x < a. b. Find the solution if g( x) = 1 + x2( x a)2. G c. Let a = 3 and b = 2; plot several different views of the solution.

Step-by-Step Solution:
Step 1 of 3

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Step 2 of 3

Chapter 10.8, Problem 14 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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a. Find the solution u( x, y) of Laplaces equation in the rectangle 0 < x < a, 0 < y <

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