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HW: Solve the Partial Differential Equations by using separation of variables method: U - 4uxx =0 U(0, t) = l(1.7) =0 u(x, 0) = f(x) = cos? 7x u,(x, 0) = g(x) = sin 7x cos Tx 0 0, 120, 0

HW: Solve the Partial Differential Equations by using separation of variables method: U - 4uxx =0 U(0, t) = l(1.7) =0 u(x, 0) = f(x) = cos? 7x u,(x, 0) = g(x) = sin 7x cos Tx 0 0, 120, 0

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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HW: Solve the Partial Differential Equations by using separation of variables method: Un - 4uxx = 0 U(0, t) = u(1, t) =0 u(x, 0) f(x) = cos? 7.x u,(x, 0) g(x) = sin? 7x cos 7x 0 <x < 1, t > 0, 12 0, 0 <x < 1, 0<x<1. Answer: u(x, t) = cos 2πt+ 1+4 sin 271 ) cos 2nx.
Transcribed Image Text:HW: Solve the Partial Differential Equations by using separation of variables method: Un - 4uxx = 0 U(0, t) = u(1, t) =0 u(x, 0) f(x) = cos? 7.x u,(x, 0) g(x) = sin? 7x cos 7x 0 <x < 1, t > 0, 12 0, 0 <x < 1, 0<x<1. Answer: u(x, t) = cos 2πt+ 1+4 sin 271 ) cos 2nx.
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