e. y" - 6y' + 15y = 2sin (3t), y(0) = -1, y'(0) = -4 Show your solution. y (t) - 1 5(ª cos(3t) + 10 1 sin(3t) - 11e³ cos (√6t) - √6 3t sin (√6t)
e. y" - 6y' + 15y = 2sin (3t), y(0) = -1, y'(0) = -4 Show your solution. y (t) - 1 5(ª cos(3t) + 10 1 sin(3t) - 11e³ cos (√6t) - √6 3t sin (√6t)
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:Find the Inverse Laplace of the following:
:
e. y" - 6y' + 15y = 2sin (3t), y(0) = -1, y'(0) = -4
Show your solution.
y (t)
1
1
5 (cost
os(3t) + sin(3t) — 11e³ cos (√6t)
10
3
√6
3t
sin (√6t)
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