Consider the systemdr(t)= Ax(t) + (% ),x(0) = (;)dtIf we have that the fundamental matrix of the system ise3t#(t) = (tet etSo what is the solution to the given problem?zet -test +e3t + tea. x(t)4O b. æ(t)2tet + e + }e*,et - te'tet +e + te,eu - te( te + }e + }e",c. æ(t)3d. x(t) =||

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Answered: Consider the system dr(t) - Ax(i) +…

Consider the system dr(t) - Ax(i) + (5), x(0) = ;) (). x(0) = (;) dt If we have that the fundamental matrix of the system is et *() = ( ) tet et So what is the solution to the given problem?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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Question

Consider the system
dr(t)
= Ax(t) + (% ),
x(0) = (;)
dt
If we have that the fundamental matrix of the system is
e3t
#(t) = (
tet et
So what is the solution to the given problem?
zet -
test +e3t + te
a. x(t)
4
O b. æ(t)
2
tet + e + }e*,
et - te'
tet +e + te,
eu - te
( te + }e + }e",
c. æ(t)
3
d. x(t) =
||

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