3. Solve the following initial value problems using the Laplace transform: a) y" - 3y' + 2y = 8(t-1), y(0) = 1, y(0) = 0
3. Solve the following initial value problems using the Laplace transform: a) y" - 3y' + 2y = 8(t-1), y(0) = 1, 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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Transcribed Image Text:3. Solve the following initial value problems using the Laplace transform:
a) y" - 3y + 2y = 8(t-1), y(0) = 1, y(0) = 0
b) y" - 4y = 8(t-3), y(0) = 0, y'(0) = 1
c) y" + 4y + 3y = 8(t2), y(0) = 1, y'(0) = -1
d) y" + 6y + 13y = 8(t), y(0) = 5, y'(0) = 5
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