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Given the partial differential equation U, + Urx = 0,0 < x < T, t > 0. Use the method of separation of variables to solve the given equation with the following conditions. Ux(0, t) = 0,t > 0 Ux(1, t) = 0,t > 0 U(x, 0) = x(n – x), 0 < x < T

Given the partial differential equation U, + Urx = 0,0 < x < T, t > 0. Use the method of separation of variables to solve the given equation with the following conditions. Ux(0, t) = 0,t > 0 Ux(1, t) = 0,t > 0 U(x, 0) = x(n – x), 0 < x < T

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the partial differential equation Ut + Ux = 0,0 < x < ,t > 0. Use the method of separation of variables to solve the given equation with the following conditions. Ux(0, t) = 0,t > 0 Ux(1, t) = 0,t > 0 U(x, 0) = x(n – x), 0 < x < n
Transcribed Image Text:Given the partial differential equation Ut + Ux = 0,0 < x < ,t > 0. Use the method of separation of variables to solve the given equation with the following conditions. Ux(0, t) = 0,t > 0 Ux(1, t) = 0,t > 0 U(x, 0) = x(n – x), 0 < x < n
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