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The air pressure p(x,t) in an organ pipe is governed by the wave equation d 2 p 1 d 2 p

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 7 Chapter 12.3

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 7

The air pressure p(x,t) in an organ pipe is governed by the wave equation d 2 p 1 d 2 p n ^ t T' 0 < x < /, 0 < /, 9x2 c 2 9/2 where I is the length ofthe pipe and c is a physical constant. Ifthe pipe is open, the boundary conditions are given by p(0. t) = po and p{L t) = po. Ifthe pipe is closed at the end where x = /, the boundary conditions are /?(0, t) po and ^(/,r) = 0. 9x Assume that c = I, / = 1 and thatthe initial conditions are 3p p{x,0) = pnCos2nx, and (x,0) = 0, 0

Step-by-Step Solution:
Step 1 of 3

L30 - 2 ex. Find the most general antiderivative of the following: 1) f(x)=sec xtanx 2) f(x)= e 5x n NOTE: If f(x)= x (n = ▯ −1), then F(x)= If n ≥ 0, then x If n< 0, then x −3 ex. Find F(x)f i f(x)= x . 1 ex. If f(x)= x , find F(x).

Step 2 of 3

Chapter 12.3, Problem 7 is Solved
Step 3 of 3

Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

Numerical Analysis was written by and is associated to the ISBN: 9781305253667. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. The answer to “The air pressure p(x,t) in an organ pipe is governed by the wave equation d 2 p 1 d 2 p n ^ t T' 0 < x < /, 0 < /, 9x2 c 2 9/2 where I is the length ofthe pipe and c is a physical constant. Ifthe pipe is open, the boundary conditions are given by p(0. t) = po and p{L t) = po. Ifthe pipe is closed at the end where x = /, the boundary conditions are /?(0, t) po and ^(/,r) = 0. 9x Assume that c = I, / = 1 and thatthe initial conditions are 3p p{x,0) = pnCos2nx, and (x,0) = 0, 0” is broken down into a number of easy to follow steps, and 114 words. The full step-by-step solution to problem: 7 from chapter: 12.3 was answered by , our top Math solution expert on 03/16/18, 03:24PM. Since the solution to 7 from 12.3 chapter was answered, more than 226 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions.

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The air pressure p(x,t) in an organ pipe is governed by the wave equation d 2 p 1 d 2 p