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2. Solve the following problem for wave equation using the Fourier cosine trans- form Uu - Cuzz = 0, Uz(0, t) = h(t), u(x, 0) = u(r,0) = 0. 0 < r < 0, t>0, ro0 sin(az) dr = sign (a), where sign (a) = 1 for a>0 and sign (a) = -1 %3D %3D %3D for a <0)

2. Solve the following problem for wave equation using the Fourier cosine trans- form Uu - Cuzz = 0, Uz(0, t) = h(t), u(x, 0) = u(r,0) = 0. 0 < r < 0, t>0, ro0 sin(az) dr = sign (a), where sign (a) = 1 for a>0 and sign (a) = -1 %3D %3D %3D for a <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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2. Solve the following problem for wave equation using the Fourier cosine trans- form %3D 0 <r < 00, t>0, Uz (0,t) = h(t), u(r,0) = u(r,0) = 0. sin(ar) (hint: for a <0)- dr = sign (a), where sign (a) = 1 for a >0 and sign (a) = -1 %3D
Transcribed Image Text:2. Solve the following problem for wave equation using the Fourier cosine trans- form %3D 0 <r < 00, t>0, Uz (0,t) = h(t), u(r,0) = u(r,0) = 0. sin(ar) (hint: for a <0)- dr = sign (a), where sign (a) = 1 for a >0 and sign (a) = -1 %3D
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