6-9: Use the following graph to answer the next three questions (6) Use the graph to identify the initial conditions. (a) y (0) = 1, y(0) = 1 (b) y (0) = 1, y(0) = 0 (c) '(0) = 0, y(0)=1 (d) y (0) = 0, y(1) = 0 (7) Identify any equilibrium solutions and classify them as stable, unstable, or semi-stable (8) What type of damping is exhibited by the solution? (a) No damping (b) Critial damping (e) Under damping (d) Over damping (9) Which of the following could be a good model for the solution? (a) cos r (b) e cosz (c) e* sin r (d) e cos z

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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Please answer all parts, they all pertain the the graph shown. Any explanation/work would be great, thank you!

6-9: Use the following graph to answer the next three questions
(6) Use the graph to identify the initial conditions.
(a) y'(0) = 1, y(0) = 1
(b) y (0) = 1, y(0) = 0
(c) y (0) = 0, y(0) = 1
(d) y (0) = 0, y(1) = 0
(7) Identify any equilibrium solutions and classify them as stable, unstable, or semi-stable
(8) What type of damping is exhibited by the solution?
(a) No damping (b) Critial damping (c) Under damping (d) Over damping
(9) Which of the following could be a good model for the solution?
(a) cos x
(b) e COS
(c) e sinx
(d) e² cos x
Transcribed Image Text:6-9: Use the following graph to answer the next three questions (6) Use the graph to identify the initial conditions. (a) y'(0) = 1, y(0) = 1 (b) y (0) = 1, y(0) = 0 (c) y (0) = 0, y(0) = 1 (d) y (0) = 0, y(1) = 0 (7) Identify any equilibrium solutions and classify them as stable, unstable, or semi-stable (8) What type of damping is exhibited by the solution? (a) No damping (b) Critial damping (c) Under damping (d) Over damping (9) Which of the following could be a good model for the solution? (a) cos x (b) e COS (c) e sinx (d) e² cos x
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