1 foot. Suppose the 2 A mass weighing 2 pounds stretches a spring mass is pulled down an additional feet and then released. If 4 there is no damping, which of the following Initial Value Problems model this situation? u" + 16и — 0, u(0) u'(0) = 0 2' 1 2u" + u(0) 4' 1 u' (0) = 0 2 1 0, и(0) u'(0) = 0 2' 2u" -U = 2 1 2u" + 4u %3D 0, и(0) — 0, и'(0) О u" + 64и — 0, и(0) 1 - u' (0) = 0 - 4' 1 u" + u + 64u = 0, u(0) = 0, 4 1 u'(0) 4 - O " + 4u' + 64u = 0, u(0) 1 u'(0) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
A mass weighing 2 pounds stretches a spring
foot. Suppose the
2
1
feet and then released. If
4
mass is pulled down an additional
there is no damping, which of the following Initial Value Problems
model this situation?
1
u" + 16и — 0, и(0)
u'(0) = 0
2'
1
и —
2u" +
2
1
u(0)
1
4'
u' (0) = 0
2'
1
2u" +
0, u(0)
1
u' (0) = 0
U =
2
2'
1
2u" + 4u — 0, и(0) — 0, и'(0)
4
1
u" + 64u = 0, u(0)
u'(0) = 0
4'
1
O u" + u' + 64u
4
%3D — —
0, и(0) — 0, и'(0)
4
1
O u" + 4u' + 64u = 0, u(0)
u'(0) = 0
2'
Transcribed Image Text:A mass weighing 2 pounds stretches a spring foot. Suppose the 2 1 feet and then released. If 4 mass is pulled down an additional there is no damping, which of the following Initial Value Problems model this situation? 1 u" + 16и — 0, и(0) u'(0) = 0 2' 1 и — 2u" + 2 1 u(0) 1 4' u' (0) = 0 2' 1 2u" + 0, u(0) 1 u' (0) = 0 U = 2 2' 1 2u" + 4u — 0, и(0) — 0, и'(0) 4 1 u" + 64u = 0, u(0) u'(0) = 0 4' 1 O u" + u' + 64u 4 %3D — — 0, и(0) — 0, и'(0) 4 1 O u" + 4u' + 64u = 0, u(0) u'(0) = 0 2'
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