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A string is stretched between points x=0 and x=5. At time t = 0, the elastic medium is at rest and the velocity of the elastic medium is kept uniform at 10. After considering the boundary conditions, the motion of a point with distance x from at time t is given as follows: ηπ.χ 4nлt u(x,t)= Bsin Ice 10 10 Compute the displacement function u(x,t) of the elastic string satisfying u(x,0) = 0 and u, (x,0)=10 for all 0≤x≤5. C cos +Dsin 4nлt 10

A string is stretched between points x=0 and x=5. At time t = 0, the elastic medium is at rest and the velocity of the elastic medium is kept uniform at 10. After considering the boundary conditions, the motion of a point with distance x from at time t is given as follows: ηπ.χ 4nлt u(x,t)= Bsin Ice 10 10 Compute the displacement function u(x,t) of the elastic string satisfying u(x,0) = 0 and u, (x,0)=10 for all 0≤x≤5. C cos +Dsin 4nлt 10

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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(b) A string is stretched between points x = 0 and x=5. At time t = 0, the elastic medium is at rest and the velocity of the elastic medium is kept uniform at 10. After considering the boundary conditions, the motion of a point with distance x from at time t is given as follows: ηπχ Anat 4nлt u(x,t) () = [Bsin (Max) [Ccos (417) + Dsin (Ang)] 10 10 10 Compute the displacement function u(x,t) of the elastic string satisfying u(x,0) = 0 and u, (x,0) = 10 for all 0≤x≤5.
Transcribed Image Text:(b) A string is stretched between points x = 0 and x=5. At time t = 0, the elastic medium is at rest and the velocity of the elastic medium is kept uniform at 10. After considering the boundary conditions, the motion of a point with distance x from at time t is given as follows: ηπχ Anat 4nлt u(x,t) () = [Bsin (Max) [Ccos (417) + Dsin (Ang)] 10 10 10 Compute the displacement function u(x,t) of the elastic string satisfying u(x,0) = 0 and u, (x,0) = 10 for all 0≤x≤5.
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