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Get Full Access to Applied Partial Differential Equations With Fourier Series And Boundary Value Problems - 5 Edition - Chapter 7.3 - Problem 7.3.6
Get Full Access to Applied Partial Differential Equations With Fourier Series And Boundary Value Problems - 5 Edition - Chapter 7.3 - Problem 7.3.6

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# Consider Laplaces equation 2u = 2u x2 + 2u y2 + 2u z2 = 0 in a right cylinder whose base

ISBN: 9780321797056 284

## Solution for problem 7.3.6 Chapter 7.3

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

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Problem 7.3.6

Consider Laplaces equation 2u = 2u x2 + 2u y2 + 2u z2 = 0 in a right cylinder whose base is arbitrarily shaped (see Fig. 7.3.3). The top is z = H, and the bottom is z = 0. Assume that z u(x, y, 0) = 0 u(x, y, H) = (x, y) and u = 0 on the lateral sides. (a) Separate the z-variable in general. *(b) Solve for u(x, y, z) if the region is a rectangular box, 0 < x < L, 0 < y < W, 0

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##### ISBN: 9780321797056

The full step-by-step solution to problem: 7.3.6 from chapter: 7.3 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. The answer to “Consider Laplaces equation 2u = 2u x2 + 2u y2 + 2u z2 = 0 in a right cylinder whose base is arbitrarily shaped (see Fig. 7.3.3). The top is z = H, and the bottom is z = 0. Assume that z u(x, y, 0) = 0 u(x, y, H) = (x, y) and u = 0 on the lateral sides. (a) Separate the z-variable in general. *(b) Solve for u(x, y, z) if the region is a rectangular box, 0 < x < L, 0 < y < W, 0 <z” is broken down into a number of easy to follow steps, and 93 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 81 chapters, and 759 solutions. This textbook survival guide was created for the textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, edition: 5. Since the solution to 7.3.6 from 7.3 chapter was answered, more than 221 students have viewed the full step-by-step answer.

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