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1 02г с2 0t2 = дги 0х2

1 02г с2 0t2 = дги 0х2

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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A partial differential equation is defined by the wave equation, 1 8²u 8² u c² Ət² მ2 together with the conditions u(0, t) = 1 u(π, t) = 0 u(x,0) = 0 Ә Ət U u(x,0) = 1 - X 2π t> 0, t> 0, 0≤x≤ 2π, and 0≤x≤ 2π. If you were to solve this using the method of separated solutions, which basic solution would you use?
Transcribed Image Text:A partial differential equation is defined by the wave equation, 1 8²u 8² u c² Ət² მ2 together with the conditions u(0, t) = 1 u(π, t) = 0 u(x,0) = 0 Ә Ət U u(x,0) = 1 - X 2π t> 0, t> 0, 0≤x≤ 2π, and 0≤x≤ 2π. If you were to solve this using the method of separated solutions, which basic solution would you use?
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