(c) The solution to the IVP is given by: OA OB. 1 Y(0)= 17/20 -21 + 7/1 y(t) = = 1 12 1 6 5t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3please show written work part C only!
(c) The solution to the IVP is given by:
OA
OB.
O c.
OD.
1
y(t) 12
y(t) =
y(t) =
1
12
1
91
31
1
y(t) = 1/2 est
1
6
1
6
41
test
6
OE. None of the given answers is correct
Transcribed Image Text:(c) The solution to the IVP is given by: OA OB. O c. OD. 1 y(t) 12 y(t) = y(t) = 1 12 1 91 31 1 y(t) = 1/2 est 1 6 1 6 41 test 6 OE. None of the given answers is correct
A 20-kg mass is attached to a spring with stiffness 200 N/m. The mass is displaced. The damping constant for the system is 140 N-sec/m. If the mass is pulled 25 cm to the right of equilibrium and given initial leftward
velocity of 1 m/sec, when will it first return to its equilibrium position?
(a) The IVP modeling the problem is given by:
OA
OB.
O C.
1
y-y-12y=0; y(0) --:y(0) = -1
1
y" + 7y +10y=0; y(0)= y(0) = -1
1
--54x=0; y(0);Y(0) = -1
Transcribed Image Text:A 20-kg mass is attached to a spring with stiffness 200 N/m. The mass is displaced. The damping constant for the system is 140 N-sec/m. If the mass is pulled 25 cm to the right of equilibrium and given initial leftward velocity of 1 m/sec, when will it first return to its equilibrium position? (a) The IVP modeling the problem is given by: OA OB. O C. 1 y-y-12y=0; y(0) --:y(0) = -1 1 y" + 7y +10y=0; y(0)= y(0) = -1 1 --54x=0; y(0);Y(0) = -1
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