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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

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,
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,