QUESTION 9 Consider the inverse Laplace transforms: s- a at cos(bt) ((s - a)² + 6² = ecos(bt) and b = eatsin(bt) L (s- a)² + b? Use the Laplace transform and these inverse transforms to solve the given initial-value problem: y' +y= e-4°cos(3t), y(0) = 0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
QUESTION 9
Consider the inverse Laplace transforms:
S-a
eat cos(bt)
I(s - a)? + b².
and
b
= etsin(bt)
(s – a)? + b²
12
S-a
Use the Laplace transform and these inverse transforms to solve the given initial-value problem:
y' +y = e-4cos(3t), y(0)= 0
y(t) =
Transcribed Image Text:QUESTION 9 Consider the inverse Laplace transforms: S-a eat cos(bt) I(s - a)? + b². and b = etsin(bt) (s – a)? + b² 12 S-a Use the Laplace transform and these inverse transforms to solve the given initial-value problem: y' +y = e-4cos(3t), y(0)= 0 y(t) =
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Thermodynamic Relations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY