Find the Laplace of f(t) = (t− 2)(t+2)e-³t

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
Find the Laplace of
f(t) = (t-2)(t+2)e-³t
Transcribed Image Text:Find the Laplace of f(t) = (t-2)(t+2)e-³t
Laplace table:
F(s) = L[f(t)]
n!/sn+1
F(s-a)
a/(s² + a²)
cos at
s/(s² + a²)
y' (t)
SY(s) - y(0)
y"(t)| s²Y(s) — sy(0) — y'(0)
-
f(t)
tn
eat f(t)
sin at
Transcribed Image Text:Laplace table: F(s) = L[f(t)] n!/sn+1 F(s-a) a/(s² + a²) cos at s/(s² + a²) y' (t) SY(s) - y(0) y"(t)| s²Y(s) — sy(0) — y'(0) - f(t) tn eat f(t) sin at
Expert Solution
steps

Step by step

Solved in 2 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,