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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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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
||
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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