A. y" – 3y' + 2y = 0 B. y" + 2y' +2y = 0 C. y" + 4y = 0 D. y" + 2y' + y = 0 Table 1: A-D are homogeneous second order linear equations. 19. Identify which differential equation(s) in Table 1: (a) do not represent the motion of a spring-mass system? Explain your reasoning. (b) represent an undamped vibration? Explain your reasoning. (c) represent a damped vibration? Explain your reasoning.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Please solve question 19 colpletely. a, b, and c

A. y" – 3y' + 2y = 0
B. y" + 2y' + 2y = 0
C. y" + 4y = 0
D. y" + 2y' + y = 0
%3D
Table 1: A-D are homogeneous second order linear equations.
19. Identify which differential equation(s) in Table 1:
(a) do not represent the motion of a spring-mass system? Explain your reasoning.
(b) represent an undamped vibration? Explain your reasoning.
(c) represent a damped vibration? Explain your reasoning.
Transcribed Image Text:A. y" – 3y' + 2y = 0 B. y" + 2y' + 2y = 0 C. y" + 4y = 0 D. y" + 2y' + y = 0 %3D Table 1: A-D are homogeneous second order linear equations. 19. Identify which differential equation(s) in Table 1: (a) do not represent the motion of a spring-mass system? Explain your reasoning. (b) represent an undamped vibration? Explain your reasoning. (c) represent a damped vibration? Explain your reasoning.
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