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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
icon
Related questions
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage