Question 4. Draw phase-plane diagrams for the following linear continuous-time dynamical systems [8] - [4 =1][8] (a) (b) (c) d dt d -2 à [8] - [-²18] = dt -2 d dt 7 [58] - [14][8] = -4 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 4. Draw phase-plane diagrams for the following linear continuous-time dynamical systems
d [x(t)
(a)
(b)
(c)
-2
#68]-[4-158
=
dty(t)
d [x(t)
-2
a [58] - [25] [26]
=
dt
-2 4
x(t) 7 x(t)
- [14][58]
[2
=
-4 3
d
dt Ly(t)
Transcribed Image Text:Question 4. Draw phase-plane diagrams for the following linear continuous-time dynamical systems d [x(t) (a) (b) (c) -2 #68]-[4-158 = dty(t) d [x(t) -2 a [58] - [25] [26] = dt -2 4 x(t) 7 x(t) - [14][58] [2 = -4 3 d dt Ly(t)
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