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)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Question
1
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae536901-f783-4263-b044-5b3344420bbf%2F1dec6d89-7bf7-4f3f-9e23-0474fddb0ebe%2Fefs96t_processed.png&w=3840&q=75)
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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