Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise defined function OB. f(t)=t for 03 OA O C. O D. df dt F(s) = OA sF(s)-f(0) 1 F(s) = 38 + 2 F(s) = F(S)=2 F(s) = S 1 5 + + S-1 1- -3s 3s 5 S-1 - 3e -3s (s-3)² S-4 OE. None of the given answers is correct 5e-3s (b) Find the inverse Laplace transform of the function -1 4 3s 4 s+2 (S-1)³ s²+1 (S-2)² +9 5e-3(s-1) + s-1 4 f(t)=-e2t+4e³1 - 3 cost + sin (3t) B. -te-2t+4e31 - 3 cost +2e⁹t sin (2t) O C. 4 f(t)= - e 2t +2t²e¹-3 cost + 3 Laplace{g(t + a)X(s) e²¹ sin (3t) OD. f(t)=-e²t +21²e-3 cost +2e-2¹ sin (3t) OE. None of the given answers is correct

Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise defined function OB. f(t)=t for 03 OA O C. O D. df dt F(s) = OA sF(s)-f(0) 1 F(s) = 38 + 2 F(s) = F(S)=2 F(s) = S 1 5 + + S-1 1- -3s 3s 5 S-1 - 3e -3s (s-3)² S-4 OE. None of the given answers is correct 5e-3s (b) Find the inverse Laplace transform of the function -1 4 3s 4 s+2 (S-1)³ s²+1 (S-2)² +9 5e-3(s-1) + s-1 4 f(t)=-e2t+4e³1 - 3 cost + sin (3t) B. -te-2t+4e31 - 3 cost +2e⁹t sin (2t) O C. 4 f(t)= - e 2t +2t²e¹-3 cost + 3 Laplace{g(t + a)X(s) e²¹ sin (3t) OD. f(t)=-e²t +21²e-3 cost +2e-2¹ sin (3t) OE. None of the given answers is correct

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
See similar textbooks
icon
Related questions
Question
4please show written work part A and B
sF(s)-f(0) Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise defined function f(t)=t for 0<t<3 and f(t)=5e for t>3 OA OB. O C. O D. df dt F(s) = 1 F(s) = 38 + 2 OA. F(S)=2 F(s) = F(s) = 1 5 + S 1- + S-1 3s -3s 5 8-1 - 3e -3s (s-3)² S-4 OE. None of the given answers is correct 5e-3s (b) Find the inverse Laplace transform of the function -1 4 3s 4 s+2 (S-1)³ s²+1 (S-2)² +9 5e-3(s-1) + s-1 4 f(t)=-e2t+4e³1 - 3 cost + sin (31) B. -te-2t+4e³t-3 cost+2e⁹t sin(2t) O C. 4 f(t)= e 2t +2t²e¹-3 cost + 3 e²¹ sin (3t) Laplace(g(t + a)(s) OD. f(t)=-e²t + 2t1²e-3 cost +2e-2¹ sin (3t) OE. None of the given answers is correct
Transcribed Image Text:sF(s)-f(0) Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise defined function f(t)=t for 0<t<3 and f(t)=5e for t>3 OA OB. O C. O D. df dt F(s) = 1 F(s) = 38 + 2 OA. F(S)=2 F(s) = F(s) = 1 5 + S 1- + S-1 3s -3s 5 8-1 - 3e -3s (s-3)² S-4 OE. None of the given answers is correct 5e-3s (b) Find the inverse Laplace transform of the function -1 4 3s 4 s+2 (S-1)³ s²+1 (S-2)² +9 5e-3(s-1) + s-1 4 f(t)=-e2t+4e³1 - 3 cost + sin (31) B. -te-2t+4e³t-3 cost+2e⁹t sin(2t) O C. 4 f(t)= e 2t +2t²e¹-3 cost + 3 e²¹ sin (3t) Laplace(g(t + a)(s) OD. f(t)=-e²t + 2t1²e-3 cost +2e-2¹ sin (3t) OE. None of the given answers is correct
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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,
SEE MORE TEXTBOOKS