25 Utt, 0 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(x, 0) = 0 and Ut (x, 0) = 3 sin(Tx) +2 sin(37x) is The solution of the wave equation Uxx u(x, t) = E sin(" [a, cos (5nt) + sin (5nat). where 3 n=1 O a) b3 3 , b9 2 bn O otherwise, an = 0 for all n > 1 15л ) O b) b3 = 3, b9 = 2, bn O otherwise, an = 0 for all n > 1 c) az = = 3, ag = 2, an = 0 otherwise, bn = 0 for all n >1 3 ag = 0 otherwise, br = 0 for all n > 1 a3 an 15л ) e) None of these
25 Utt, 0 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial conditions u(x, 0) = 0 and Ut (x, 0) = 3 sin(Tx) +2 sin(37x) is The solution of the wave equation Uxx u(x, t) = E sin(" [a, cos (5nt) + sin (5nat). where 3 n=1 O a) b3 3 , b9 2 bn O otherwise, an = 0 for all n > 1 15л ) O b) b3 = 3, b9 = 2, bn O otherwise, an = 0 for all n > 1 c) az = = 3, ag = 2, an = 0 otherwise, bn = 0 for all n >1 3 ag = 0 otherwise, br = 0 for all n > 1 a3 an 15л ) e) None of these
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
Related questions
Question
![= 25 Utt, 0 < x < 3, t> 0,
which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial
conditions u(x, 0) = 0 and Ut (x, 0) = 3 sin(Tx) +2 sin(3x) is
The solution of the wave equation Uxx
u(x, t) = E sin(™
2) [a, cos (5nat) + b, sin (5nnt )]. where
3
n=1
O a) b3
3
2
, b9
157
bn
O otherwise, an = 0 for all n > 1
15л )
O b) b3 :
= 3, b9 = 2, b
O otherwise, an = 0 for all n > 1
c) az =
= 3, ag = 2, an = 0 otherwise, bn = 0 for all n > 1
аз
3
ag
O otherwise, bn = 0 for all n > 1
157 An
e) None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9133870-6329-47fc-8646-3a7c388192b7%2F21df17df-802e-492a-b84b-b327b6b77bc9%2Fwyi1m7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:= 25 Utt, 0 < x < 3, t> 0,
which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial
conditions u(x, 0) = 0 and Ut (x, 0) = 3 sin(Tx) +2 sin(3x) is
The solution of the wave equation Uxx
u(x, t) = E sin(™
2) [a, cos (5nat) + b, sin (5nnt )]. where
3
n=1
O a) b3
3
2
, b9
157
bn
O otherwise, an = 0 for all n > 1
15л )
O b) b3 :
= 3, b9 = 2, b
O otherwise, an = 0 for all n > 1
c) az =
= 3, ag = 2, an = 0 otherwise, bn = 0 for all n > 1
аз
3
ag
O otherwise, bn = 0 for all n > 1
157 An
e) None of these
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