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Solve the heat equation u t = k 2u x2 subject to the following conditions: u(0, t)=0

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition | ISBN: 9780321797056 | Authors: Richard Haberman ISBN: 9780321797056 284

Solution for problem 2.3.11 Chapter 2.3

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition

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Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition | ISBN: 9780321797056 | Authors: Richard Haberman

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems | 5th Edition

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Problem 2.3.11

Solve the heat equation u t = k 2u x2 subject to the following conditions: u(0, t)=0 u(L, t)=0 u(x, 0) = f(x). What happens as t ? [Hints: 1. It is known that if u(x, t) = (x) G(t), then 1 kG dG dt = 1 d2 dx2 . 2. Use formula sheet.]

Step-by-Step Solution:
Step 1 of 3

_--___{_ j- l ---__.,*-"*=_L i l 1 I --*-+...

Step 2 of 3

Chapter 2.3, Problem 2.3.11 is Solved
Step 3 of 3

Textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems
Edition: 5
Author: Richard Haberman
ISBN: 9780321797056

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Solve the heat equation u t = k 2u x2 subject to the following conditions: u(0, t)=0

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