Use the Laplace transform to solve the initial value problem: 2y" + 3y' - 2y = te-²t, y(0) = 0, y'(0) = -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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y(t)=(96/125)e-2t - (2/25)te-2t - (1/10)t2e-2t - (96/125)e(1/2)t

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Use the Laplace transform to solve the initial value problem:
2y" + 3y' - 2y = te-²t, y(0) = 0, y'(0) = -2
Transcribed Image Text:Use the Laplace transform to solve the initial value problem: 2y" + 3y' - 2y = te-²t, y(0) = 0, y'(0) = -2
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