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Get Full Access to Applied Partial Differential Equations With Fourier Series And Boundary Value Problems - 5 Edition - Chapter 7.9 - Problem 7.9.1
Get Full Access to Applied Partial Differential Equations With Fourier Series And Boundary Value Problems - 5 Edition - Chapter 7.9 - Problem 7.9.1

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# Solve Laplaces equation inside a circular cylinder subject to the boundary conditions ISBN: 9780321797056 284

## Solution for problem 7.9.1 Chapter 7.9

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

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Problem 7.9.1

Solve Laplaces equation inside a circular cylinder subject to the boundary conditions (a) u(r, , 0) = (r, ), u(r, , H) = 0, u(a, , z)=0 *(b) u(r, , 0) = (r) sin 7, u(r, , H) = 0, u(a, , z)=0 (c) u(r, , 0) = 0, u(r, , H) = (r) cos 3, u r (a, , z)=0 (d) u z (r, , 0) = (r) sin 3, u z (r, , H) = 0, u r (a, , z)=0 (e) u z (r, , 0) = (r, ), u z (r, , H) = 0, u r (a, , z)=0 For (e) only, under what condition does a solution exist?

Step-by-Step Solution:
Step 1 of 3

L14 - 10 NOTE: x y = e (a,e ) 2 ex. Find g (x)f i g(x)= ex +2 e + xe + x . 2 e Now You Try It (NYTI): Find the derivatives of the given function. x e (a) f(x)= e (b) f(x)= x (c) f(x)= e (d) f(x)= ex √ (e) f(x)= ex

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321797056

This full solution covers the following key subjects: . This expansive textbook survival guide covers 81 chapters, and 759 solutions. The full step-by-step solution to problem: 7.9.1 from chapter: 7.9 was answered by , our top Math solution expert on 01/25/18, 04:21PM. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems was written by and is associated to the ISBN: 9780321797056. Since the solution to 7.9.1 from 7.9 chapter was answered, more than 226 students have viewed the full step-by-step answer. The answer to “Solve Laplaces equation inside a circular cylinder subject to the boundary conditions (a) u(r, , 0) = (r, ), u(r, , H) = 0, u(a, , z)=0 *(b) u(r, , 0) = (r) sin 7, u(r, , H) = 0, u(a, , z)=0 (c) u(r, , 0) = 0, u(r, , H) = (r) cos 3, u r (a, , z)=0 (d) u z (r, , 0) = (r) sin 3, u z (r, , H) = 0, u r (a, , z)=0 (e) u z (r, , 0) = (r, ), u z (r, , H) = 0, u r (a, , z)=0 For (e) only, under what condition does a solution exist?” is broken down into a number of easy to follow steps, and 114 words. This textbook survival guide was created for the textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, edition: 5.

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