Q10. A continuous time dynamical system dx = -kx? + (k – 1)x dt dy -= x – y dt has stable equilibrium at x = y = (a) k > 1 for any (b) k < 1 (c) k = 1 (d) k + 1
Q10. A continuous time dynamical system dx = -kx? + (k – 1)x dt dy -= x – y dt has stable equilibrium at x = y = (a) k > 1 for any (b) k < 1 (c) k = 1 (d) k + 1
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
Transcribed Image Text:Q10. A continuous time dynamical system
dx
= -kx? + (k – 1)x
dt
dy
-= x – y
dt
has stable equilibrium at x = y =
(a) k > 1
for any
(b) k < 1
(c) k = 1
(d) k + 1
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