The Fourier sine series of the function f(x) = x³ on the interval [0,T] is 32(-1)+1 (nπ)²-6 -sin(nx). The solution of the equation m-1 is equal to? (a) u(x,t) = e-toz³ θα J²u = მე2 It u(x, 0) = 1³ u(0,t) = 0, u(π,t) = 0 (b) u(x,t) = 2(−1)÷1 (n)²–6 on²t sin(nx) (c) u(x,t)=2(−1)n−1 (nx)²–6¸ e sin(nx) ○ (d) u(x,t) = 2(-1)+1 (na)²=6e-on²t cos(nx) ○ (e) It's impossible to solve this equation

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Needs Complete solution with 100 % accuracy.        

The Fourier sine series of the function f(x) = x³ on the interval [0,T] is
32(-1)+1
(nπ)²-6
-sin(nx).
The solution of the equation
m-1
is equal to?
(a) u(x,t) = e-toz³
θα
J²u
=
მე2
It
u(x, 0) = 1³
u(0,t) = 0, u(π,t) = 0
(b) u(x,t) = 2(−1)÷1 (n)²–6
on²t sin(nx)
(c) u(x,t)=2(−1)n−1 (nx)²–6¸
e
sin(nx)
○ (d) u(x,t) = 2(-1)+1 (na)²=6e-on²t cos(nx)
○ (e) It's impossible to solve this equation
Transcribed Image Text:The Fourier sine series of the function f(x) = x³ on the interval [0,T] is 32(-1)+1 (nπ)²-6 -sin(nx). The solution of the equation m-1 is equal to? (a) u(x,t) = e-toz³ θα J²u = მე2 It u(x, 0) = 1³ u(0,t) = 0, u(π,t) = 0 (b) u(x,t) = 2(−1)÷1 (n)²–6 on²t sin(nx) (c) u(x,t)=2(−1)n−1 (nx)²–6¸ e sin(nx) ○ (d) u(x,t) = 2(-1)+1 (na)²=6e-on²t cos(nx) ○ (e) It's impossible to solve this equation
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
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…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,