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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
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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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?
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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