Determine the inverse Laplace transform of the function below. 2s-52 5s² - 10s +130 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Use completing the square to rewrite the numerator and the denominator to match the forms of Laplace transforms given in the table. Choose the correct answer below. OA OB. O C. D. 2-1 2s-52 5s²-10s +130 5s 2s-52 10s +130 2s-52 5s²-10s +130 2s-52 5s-10s +130 2s-52 5s-10s +130 2 5 5 2 5 2 5 s-1 (S-1)² +5² s-1 (s+ 1)² +5² s-1 (s+ 1)² +5² s-1 (S-1)² +5² +2. +2. -2. 5 (S-1)² +5² 5 (s+ 1)² +5² 5 (s+ 1)² +5² 5 (S-1)² +5² -2.

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
Determine the inverse Laplace transform of the function below.
2s-52
2
5s - 10s +130
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Use completing the square to rewrite the numerator and the denominator to match the forms of Laplace transforms given in the table. Choose the correct answer below.
O.A.
OB.
O C.
R
D.
2s-52
2
5s - 10s +130
2s-52
5s²2²-10s +130
2s-52
5s²-10s +130
2
=
2s-52
2
5s² - 10s +130
2s-52
2
5s - 10s +130
esc
2
2
= -.
5
5
=
2
s-1
5 (s+ 1)² +5²
=
s-1
(S-1)² +5²
2
5
S-1
(s+ 1)² +5²
s-1
(S-1)² +5²
+2.
FI
+2.
-2.
5
(S-1)² +5²
-2.
5
(s+ 1)² +5²
5
(s+ 1)² +5²
Video Textbook Ask my instructor
5
(S-1)² +5²
F2
ㅁㅁ
F3
000
000 F4
F5
F6
◄◄
F7
► 11
FB
F9
F10
C
Transcribed Image Text:Determine the inverse Laplace transform of the function below. 2s-52 2 5s - 10s +130 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Use completing the square to rewrite the numerator and the denominator to match the forms of Laplace transforms given in the table. Choose the correct answer below. O.A. OB. O C. R D. 2s-52 2 5s - 10s +130 2s-52 5s²2²-10s +130 2s-52 5s²-10s +130 2 = 2s-52 2 5s² - 10s +130 2s-52 2 5s - 10s +130 esc 2 2 = -. 5 5 = 2 s-1 5 (s+ 1)² +5² = s-1 (S-1)² +5² 2 5 S-1 (s+ 1)² +5² s-1 (S-1)² +5² +2. FI +2. -2. 5 (S-1)² +5² -2. 5 (s+ 1)² +5² 5 (s+ 1)² +5² Video Textbook Ask my instructor 5 (S-1)² +5² F2 ㅁㅁ F3 000 000 F4 F5 F6 ◄◄ F7 ► 11 FB F9 F10 C
Expert Solution
steps

Step by step

Solved in 2 steps

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,