Consider the system dx(t) (:). et = Ax(t) + dt x(0) If the fundamental matrix of the system is e3t D(t) = te3t e3t What is the solution for the given problem?

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

Consider the system on the image:

 

If we have that the fundamental matrix of the system is (See image):

 

What is the solution of the given problem?

Consider the system
dx(t)
= Ax() +
(). - ()
x(0
%D
dt
If the fundamental matrix of the system is
e3t
D(t)
te3t
e31
What is the solution for the given problem?
Seleccione una:
te - te
e" +e" +
a. x(t)
3t
b. x(t)
te + e +e
c. x(t)
te3t
et
d. x(t)
2
%D
II
Transcribed Image Text:Consider the system dx(t) = Ax() + (). - () x(0 %D dt If the fundamental matrix of the system is e3t D(t) te3t e31 What is the solution for the given problem? Seleccione una: te - te e" +e" + a. x(t) 3t b. x(t) te + e +e c. x(t) te3t et d. x(t) 2 %D II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Paths and Circuits
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
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,