17. Use the finite cosine transform of the fourth derivative f)(x), n²² Fa{f(x)} -[f'(0) - (-1)"f'(p)] = nª 4 F(n) + - f" (0) + (-1)"f"(p),
17. Use the finite cosine transform of the fourth derivative f)(x), n²² Fa{f(x)} -[f'(0) - (-1)"f'(p)] = nª 4 F(n) + - f" (0) + (-1)"f"(p),
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please provide correct answer as soon as possible.
![to show that a solution of the boundary-value problem
= 0, 0<x < T, 0<t<2, Uo constant
17. Use the finite cosine transform of the fourth derivative f4)(x),
Ff(x)}
F(n) +
U(0) - (-1)"f'(p)]
%3D
- f"(0) + (-1)"" (p).
atu
%3D
dx
ar
du
= 0,
= 0, 0<t< 2
%3D
ax\x=0
ax
0,
= 0, 0<t< 2
%3D
r=0
u(x, 0) = 0, u(x, 2) = 0, 0<x < T
du
= 0
at l1=0
du
= Uo, 0 <xr < T
is u(x, t) = uo(t - 21).
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3eeefe74-8155-4712-af3e-fa1ce92e7d96%2F14f77012-54a4-4e7f-860d-4b4abb06aa17%2Fmryc4c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:to show that a solution of the boundary-value problem
= 0, 0<x < T, 0<t<2, Uo constant
17. Use the finite cosine transform of the fourth derivative f4)(x),
Ff(x)}
F(n) +
U(0) - (-1)"f'(p)]
%3D
- f"(0) + (-1)"" (p).
atu
%3D
dx
ar
du
= 0,
= 0, 0<t< 2
%3D
ax\x=0
ax
0,
= 0, 0<t< 2
%3D
r=0
u(x, 0) = 0, u(x, 2) = 0, 0<x < T
du
= 0
at l1=0
du
= Uo, 0 <xr < T
is u(x, t) = uo(t - 21).
%3D
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