4. y"+y=t-u(t-1)t y(0)=0 y'(0) = 0

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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help with number 4 show the steps to get the correct answer, the correct answer for that is (t-sint) - u(t-1)((t-1)-sint(t-1))

For Problems 1-12, solve the given initial-value problem.sketch the graph
of both the forcing function and the solution.
1. y'=1-u(t-1)
y(0)= 0
y'=12u(t-1)+u(t-2)
2.
y(0)=0
3. y' + y = u(t-1)
4.
y"+y=t-u(t−1)t
y(0)= 0
y'(0) = 0
Transcribed Image Text:For Problems 1-12, solve the given initial-value problem.sketch the graph of both the forcing function and the solution. 1. y'=1-u(t-1) y(0)= 0 y'=12u(t-1)+u(t-2) 2. y(0)=0 3. y' + y = u(t-1) 4. y"+y=t-u(t−1)t y(0)= 0 y'(0) = 0
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