ing Laplace tra 15. y' + 3y = { t, 0, 0≤t≤2, t> 2 y (0) = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 70EQ
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In Exercises 15-22, solve the initial value problems us-
ing Laplace transforms.
t,
0≤t≤ 2,
15. y' + 3y = { }
y (0) = 0
0,
t> 2
16. y' - 4y = 5tu₁(t), y(0) = 1
17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0
0 ≤t <3,
[ Se',
18"
Transcribed Image Text:In Exercises 15-22, solve the initial value problems us- ing Laplace transforms. t, 0≤t≤ 2, 15. y' + 3y = { } y (0) = 0 0, t> 2 16. y' - 4y = 5tu₁(t), y(0) = 1 17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0 0 ≤t <3, [ Se', 18"
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