Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. consider the differential equation y′(t)+9y(

Consider the differential equation y′(t)+9y(t)=−4cos(5t)u(t), with initial condition y(0)=4, A)Find the Laplace transform of the solution Y(s).Y(s). Write the...

60.2K

Verified Solution

Question

Advance Math

Consider the differential equationy′(t)+9y(t)=−4cos(5t)u(t),
with initial condition y(0)=4,

A)Find the Laplace transform of the solutionY(s).Y(s). Write the solution as a singlefraction in s.

Y(s)= ______________

B) Find the partial fraction decomposition of Y(s). Enter allfactors as first order terms in s, that is, all termsshould be of the form (c/(s-p)), where c is a constant and the rootp is a constant. Both c and p may be complex.

Y(s)= ____ + ______ +______

C) Find the inverse transform of Y(s). The solution must consistof all real terms.

L−1{Y(s)} = _______________________

Answer & Explanation Solved by verified expert
3.7 Ratings (503 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

The inventor of the amazing machine was a(an) professor from an unknown college.A. prosperousB. calamityC....

Biology
Q

Let R be the ring of all 2 x 2 real matrices. A. Assume that A is...

Basic Math
Q

summarizes you understanding of the organization of the body from the simplest elements to the More...

Medical Sciences
Q

1.       An obstruction in blood flow to the kidneys would result in A. increased erythropoiesis. B. reduced release of renin from...

Medical Sciences
Q

Perform four iterations, if possible, on each of the functions g defined in Exercise 1. Let...

Advance Math
Q

A6 V battery of negligible internal resistance is connected across a uniform wire AB of...

Physics
Q

Of differential equations following homogeneous Using the characterist equation Give the general Show of your...

Calculus
Q

Please answer question cmpletely. NOTE. this is one question with multiple parts answer each part...

Accounting
Q

Mastery Problem: Variable Costing for Management Analysis Question Content Area Absorption vs. Variable Operating...

Accounting
Q

Miller Company acquired an 80 percent interest in Taylor Company on January 1,2019 . Miller...

Accounting
Q

The following are features of the futures market except: Daily settlement Credit Risk exists Exchange...

Finance
Q

1. Please give an example of a company who has succeeded using Blue Ocean Strategy...

Finance