tutt. 0 < x < 3. t > 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial The solution of the wave equation Urx conditions u(, 0) = 0 and uz(x, 0) = 2 sin() - 3 sin(272) + 2 sin(372) is E sin () [an cos(t) + bn sin( 2nt)]. where u(x,t) = sin () an cos 2nnt 2nat 3 3 3 п-1 O a) b1 = 2, be = -3, bg = 2, bn O otherwise an 3 b9 1 b) b1 bn O otherwise 3 b6 an %3D 47 d a1 -, an = br = 0 otherwise 으, a6 ag O otherwise Od) a1 -3, ag = 2, an = bn 2, аб e) None of these
tutt. 0 < x < 3. t > 0, which satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial The solution of the wave equation Urx conditions u(, 0) = 0 and uz(x, 0) = 2 sin() - 3 sin(272) + 2 sin(372) is E sin () [an cos(t) + bn sin( 2nt)]. where u(x,t) = sin () an cos 2nnt 2nat 3 3 3 п-1 O a) b1 = 2, be = -3, bg = 2, bn O otherwise an 3 b9 1 b) b1 bn O otherwise 3 b6 an %3D 47 d a1 -, an = br = 0 otherwise 으, a6 ag O otherwise Od) a1 -3, ag = 2, an = bn 2, аб e) None of these
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
Needed to be solve this multiple choice question correctly in 30 minutes and get the thumbs up please show neat and clean work please
![The solution of the wave equation Urx
jutt. 0 < ¤ < 3. t > 0, which
satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial
conditions u(, 0) = 0 and
uz(x, 0) = s
2 sin () - 3 sin(2rx) +2 sin(3Tr) is
u(x, t) = E sin(7) (n cos() + Bn sin()]. where
2nat
3
3
3
п-1
O a) b1 = 2, b6 = -3, b9 = 2, bn
O otherwise
an
3
bg
1
b) b1
bn
O otherwise
3
b6
an
%3D
c) a1
- an = b, -
O otherwise
2, a6
ag
O otherwise
Od) a1
=2, a6
3, ag = 2, an = bn
e) None of these
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcc606f7f-c655-47f7-be91-5134e7aebebb%2Ff60aa766-03dc-4fcd-b3ca-07dec04ba7bd%2Fol1ch6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The solution of the wave equation Urx
jutt. 0 < ¤ < 3. t > 0, which
satisfies the boundary conditions u(0, t) = u(3, t) = 0 and the initial
conditions u(, 0) = 0 and
uz(x, 0) = s
2 sin () - 3 sin(2rx) +2 sin(3Tr) is
u(x, t) = E sin(7) (n cos() + Bn sin()]. where
2nat
3
3
3
п-1
O a) b1 = 2, b6 = -3, b9 = 2, bn
O otherwise
an
3
bg
1
b) b1
bn
O otherwise
3
b6
an
%3D
c) a1
- an = b, -
O otherwise
2, a6
ag
O otherwise
Od) a1
=2, a6
3, ag = 2, an = bn
e) None of these
||
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