28. y(t) = (t – 3)u(t – 3) %3D | 29. y(t) =(t - 2)²u(t – 2) 30. y(t) = 3e3t %3D 31. y(t) = 2 sin t

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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I am struggling with solving these problems. It would be of great assitance if I can see one problem of each worked out and I can most certainly attempt to solve the other 2. In other words, I would appreciate if I could see problems 28 and 30 worked out. I can take care of the other two on my own.

28. y(t) = (t – 3)u(t – 3)
|
29. y(t) =(t – 2)2u(t –2)
30. y(t) = 3e 3t
31. y(t) = 2 sin t
Transcribed Image Text:28. y(t) = (t – 3)u(t – 3) | 29. y(t) =(t – 2)2u(t –2) 30. y(t) = 3e 3t 31. y(t) = 2 sin t
Solve the following initial-value problems.
28. y' = u(t – 3), y(0) = 0
29. y" = u(t – 2), y(0) = 0, y'(0) = 0
30. y' – 3y = 8(t), y(0) = 2
31. y" + y = 8(t), y(0) = 0, y'(0) = 1
Transcribed Image Text:Solve the following initial-value problems. 28. y' = u(t – 3), y(0) = 0 29. y" = u(t – 2), y(0) = 0, y'(0) = 0 30. y' – 3y = 8(t), y(0) = 2 31. y" + y = 8(t), y(0) = 0, y'(0) = 1
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