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3. g(t) = [e-4t+8 sin(3t — 6) – 3t³] u₂(t) - -

3. g(t) = [e-4t+8 sin(3t — 6) – 3t³] u₂(t) - -

Advanced Engineering Mathematics
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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Pls answer no.3 asap. Thank you. Note: Provide a correct, detailed, and complete solution. Write legibly and box your final answer. Thank you.

Find the Laplace transform of: 1. f(t)= (3t-4)² - 2t³ cos(4t) + 4e³t sinh(8t) 2. 3y""+y"-38y' +24y = 3t - 2, y (0) = 0, y'(0) = 0, y" (0) = 0 -4t+8 3. g(t) = e ³sin(3t-6) - 3t³] u₂(t) 0 ≤t<4 3t - 6t³, 4. h(t): = t≥4 - t² 10t + 31,
Transcribed Image Text:Find the Laplace transform of: 1. f(t)= (3t-4)² - 2t³ cos(4t) + 4e³t sinh(8t) 2. 3y""+y"-38y' +24y = 3t - 2, y (0) = 0, y'(0) = 0, y" (0) = 0 -4t+8 3. g(t) = e ³sin(3t-6) - 3t³] u₂(t) 0 ≤t<4 3t - 6t³, 4. h(t): = t≥4 - t² 10t + 31,
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