Use the Laplace transform to solve the given initial-value problem. y(t) = y" - y'= et cos(t), y(0)=0, y'(0) = 0 (2/5) exp(t) sin(3t) – (2/5) exp(t) cos(3t) (3/2) exp(-2t) sin(2t) + (1/2) exp(-2t) cos(2t) (3/4) exp(3t) sin(2t) - (1/4) exp(3t) cos(2t) + 1/2 (1/3) exp(-t) sin(t) + (1/3) exp(-t) cos(t) - 1/3 (2/3) exp(2t) sin(t) + (1/3) exp(2t) cos(t) + 4/3 (1/4) exp(-3t) sin(t) + (3/4) exp(-3t) cos(t) (1/2) exp(t) sin(t) – (1/2) exp(t) cos(t) + 1/2 (1/5) exp(2t) sin(t) + (1/5) exp(2t) cos(t) + 2/5 0 No solution
Use the Laplace transform to solve the given initial-value problem. y(t) = y" - y'= et cos(t), y(0)=0, y'(0) = 0 (2/5) exp(t) sin(3t) – (2/5) exp(t) cos(3t) (3/2) exp(-2t) sin(2t) + (1/2) exp(-2t) cos(2t) (3/4) exp(3t) sin(2t) - (1/4) exp(3t) cos(2t) + 1/2 (1/3) exp(-t) sin(t) + (1/3) exp(-t) cos(t) - 1/3 (2/3) exp(2t) sin(t) + (1/3) exp(2t) cos(t) + 4/3 (1/4) exp(-3t) sin(t) + (3/4) exp(-3t) cos(t) (1/2) exp(t) sin(t) – (1/2) exp(t) cos(t) + 1/2 (1/5) exp(2t) sin(t) + (1/5) exp(2t) cos(t) + 2/5 0 No solution
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please box answer
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem.
y(t) =
y" - y'= et cos(t), y(0)=0, y'(0) = 0
(2/5) exp(t) sin(3t) – (2/5) exp(t) cos(3t)
(3/2) exp(-2t) sin(2t) + (1/2) exp(-2t) cos(2t)
(3/4) exp(3t) sin(2t) - (1/4) exp(3t) cos(2t) + 1/2
(1/3) exp(-t) sin(t) + (1/3) exp(-t) cos(t) - 1/3
(2/3) exp(2t) sin(t) + (1/3) exp(2t) cos(t) + 4/3
(1/4) exp(-3t) sin(t) + (3/4) exp(-3t) cos(t)
(1/2) exp(t) sin(t) – (1/2) exp(t) cos(t) + 1/2
(1/5) exp(2t) sin(t) + (1/5) exp(2t) cos(t) + 2/5
0
No solution
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
