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For questions I to 4, Solve the 1-Dim wave equation using D'Alembert and separation of variables method, given the following initial conditions for a string of length L-1 m, c= 1 m/s: 0sx s0.5 x -1 0.5

For questions I to 4, Solve the 1-Dim wave equation using D'Alembert and separation of variables method, given the following initial conditions for a string of length L-1 m, c= 1 m/s: 0sx s0.5 x -1 0.5

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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For questions I to 4, Solve the 1-Dim wave equation using D'Alembert and separation of variables method, given the following initial conditions for a string of length L=1 m, c=1 m/s: 0sr s0.5 h(x)= h(x) =1 1. [1 0<x <0.5 v (x)=. 1-1 0.5<x <1 :-1 0.5<x s1 x 0.25 <x <0.5 2. v (x ) = otherwise h(x) = sin rx 3. v(x)=D0 h(x)=1-4(x-0.5) [1 0<x <0.5 4. v (x): %3D 0 0.5<x <1
Transcribed Image Text:For questions I to 4, Solve the 1-Dim wave equation using D'Alembert and separation of variables method, given the following initial conditions for a string of length L=1 m, c=1 m/s: 0sr s0.5 h(x)= h(x) =1 1. [1 0<x <0.5 v (x)=. 1-1 0.5<x <1 :-1 0.5<x s1 x 0.25 <x <0.5 2. v (x ) = otherwise h(x) = sin rx 3. v(x)=D0 h(x)=1-4(x-0.5) [1 0<x <0.5 4. v (x): %3D 0 0.5<x <1
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