Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Please solve, first image is part a and second image is part b
Find a formal solution to the vibrating string problem governed by the given initial-boundary value problem.
zu
2u
O A.
B.
= 25
ди
at (
2'
at
u(0,t) = u(x,t) = 0,
u(x,0) = 2 sin ²x,
ax
(x,0):
= 3- cos x,
0<x<+,
t> 0,
0<x<T,
0<x<*
t> 0,
ypu A VITU, uviny a u./
Give the coefficients an. Select the correct choice below and fill in the answer box(es) within your choice.
an
(Type an exact answer, using
***
as needed.)
For those value(s), an =
is zero for all n except n =
an
(Type exact answers, using as needed. Use a comma to separate answers as needed.)
expand button
Transcribed Image Text:Find a formal solution to the vibrating string problem governed by the given initial-boundary value problem. zu 2u O A. B. = 25 ди at ( 2' at u(0,t) = u(x,t) = 0, u(x,0) = 2 sin ²x, ax (x,0): = 3- cos x, 0<x<+, t> 0, 0<x<T, 0<x<* t> 0, ypu A VITU, uviny a u./ Give the coefficients an. Select the correct choice below and fill in the answer box(es) within your choice. an (Type an exact answer, using *** as needed.) For those value(s), an = is zero for all n except n = an (Type exact answers, using as needed. Use a comma to separate answers as needed.)
Give the coefficients bn. Select the correct choice below and fill in the answer box(es) within your choice.
OA. bn=
(Type an exact answer, using à as needed.)
OB. b is zero for all n except n =
For those value(s), bn =
(Type exact answers, using as needed. Use a comma to separate answers as needed.)
expand button
Transcribed Image Text:Give the coefficients bn. Select the correct choice below and fill in the answer box(es) within your choice. OA. bn= (Type an exact answer, using à as needed.) OB. b is zero for all n except n = For those value(s), bn = (Type exact answers, using as needed. Use a comma to separate answers as needed.)
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