d. 2y" + 3y - 2y = te-²t, y(0) = 0, y'(0) = −2 Show your solution. y (t) = 1 125 -96e² +96e -2t - FAV 10te-2t - 25 - 2 2t 1²e-2
d. 2y" + 3y - 2y = te-²t, y(0) = 0, y'(0) = −2 Show your solution. y (t) = 1 125 -96e² +96e -2t - FAV 10te-2t - 25 - 2 2t 1²e-2
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:
d. 2y" + 3y' - 2y = te-²t, y(0) = 0, y'(0) = −2
Show your solution.
y (t)
1
:(
125
-2t
-96e² +96e 10te
-2t
25/ 0²6-2)
t²e
2t
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