Find the general solution of the following system of differential equations: 1 40-€88 -4 -6 4 -2 -2 1 d dt X y = X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 2.
(a) Find the general solution of the following system of differential equations:
d
dt
X
d
Z
dt
=
X
1
-4
-2 -2 1
1 0
Use Routh-Hurwitz conditions.
-64
(b) Discuss the stability of zero equilibrium of the following system of differ-
ential equations:
]]
-1 1 0
48-€498
-4 -6 4
-2
-2 a
X
2
X
Transcribed Image Text:Problem 2. (a) Find the general solution of the following system of differential equations: d dt X d Z dt = X 1 -4 -2 -2 1 1 0 Use Routh-Hurwitz conditions. -64 (b) Discuss the stability of zero equilibrium of the following system of differ- ential equations: ]] -1 1 0 48-€498 -4 -6 4 -2 -2 a X 2 X
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