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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
