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Mathematics
Problem
The differential equation
y
′
=
y
(
y
−
k
)
(
2
−
k
−
y
)
y' = y(y - k)(2 - k - y)
y
′
=
y
(
y
−
k
)
(
2
−
k
−
y
)
depends on the parameter
k
k
k
, where
0
<
k
<
2
0 < k < 2
0
<
k
<
2
. For which values of
k
k
k
is the equilibrium solution
y
=
k
y = k
y
=
k
stable?
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