Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²¹ +4e-3t c. 3t² +8 sin 5t

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
Q1 find the laplace transform
MATH 10014 ASSIGNMENT 2.pdf (26.5 KB)
MATH 10014 ASSIGNMENT 2
1. Find the Laplace transforms F(s) of the following functions:
a. 4t+3 b. 5e²t+4e-3t
c. 3t² +8 sin 5t
2. Find the inverse Laplace transforms [f(t)] of the following:
a. F(s) ==++
S S
c. F(s)=-
e. F(s) =
g. F(s) =
65 7
i. F(s) =
4s-1
s² +5s +6
3s-1
1.4s² -4.48s +2.94
2.3s +8.2
1.3s +14.157
3s +5
2s² +3.6s+15
3s² +5s
b. F(s) =
d. F(s)=-
f.
h.
j.
F(s)
Page
20
(s-3) (s+2)
2s +5
s² +1.2s+.2924
3s +8
s² +9
F(s) =
2s+7
s +1.16s+1.042
5s² +4
(s² +17)(s−1)
65+8
F(s)=-
of 2
Transcribed Image Text:MATH 10014 ASSIGNMENT 2.pdf (26.5 KB) MATH 10014 ASSIGNMENT 2 1. Find the Laplace transforms F(s) of the following functions: a. 4t+3 b. 5e²t+4e-3t c. 3t² +8 sin 5t 2. Find the inverse Laplace transforms [f(t)] of the following: a. F(s) ==++ S S c. F(s)=- e. F(s) = g. F(s) = 65 7 i. F(s) = 4s-1 s² +5s +6 3s-1 1.4s² -4.48s +2.94 2.3s +8.2 1.3s +14.157 3s +5 2s² +3.6s+15 3s² +5s b. F(s) = d. F(s)=- f. h. j. F(s) Page 20 (s-3) (s+2) 2s +5 s² +1.2s+.2924 3s +8 s² +9 F(s) = 2s+7 s +1.16s+1.042 5s² +4 (s² +17)(s−1) 65+8 F(s)=- of 2
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,