2. For each ODE below, do the following: i. Give one value of k (from the given possibilities) for which the ODE exhibits resonance. ii. Give one value of k (from the given possibilities) for which the ODE does not exhibit resonance, and find a particular solution in that case. (a) x" + kx = cos(2t), with these possible values of k for you to choose from: 0, 1, 2, 3, or 4.
2. For each ODE below, do the following: i. Give one value of k (from the given possibilities) for which the ODE exhibits resonance. ii. Give one value of k (from the given possibilities) for which the ODE does not exhibit resonance, and find a particular solution in that case. (a) x" + kx = cos(2t), with these possible values of k for you to choose from: 0, 1, 2, 3, or 4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2.
For each ODE below, do the following:
i. Give one value of k (from the given possibilities) for which the ODE exhibits resonance.
ii. Give one value of k (from the given possibilities) for which the ODE does not exhibit resonance,
and find a particular solution in that case.
(a) x" + kx = cos(2t), with these possible values of k for you to choose from: 0, 1, 2, 3, or 4.
(b) x" + kx = 2t, with these possible values of k for you to choose from: 0, 1, 2, 3, or 4.
Careful! Did you answer both questions i and ii, for both ODES?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F431883f4-4173-413b-80f6-7df91945be39%2Fab4d20c0-a9c2-4ae0-ac22-aa4f2f70f6d1%2F36ov91b_processed.png&w=3840&q=75)
Transcribed Image Text:2.
For each ODE below, do the following:
i. Give one value of k (from the given possibilities) for which the ODE exhibits resonance.
ii. Give one value of k (from the given possibilities) for which the ODE does not exhibit resonance,
and find a particular solution in that case.
(a) x" + kx = cos(2t), with these possible values of k for you to choose from: 0, 1, 2, 3, or 4.
(b) x" + kx = 2t, with these possible values of k for you to choose from: 0, 1, 2, 3, or 4.
Careful! Did you answer both questions i and ii, for both ODES?
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