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
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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
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