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Mathematics
Mathematics
Problem
A slope field for the differential equation
d
y
d
x
=
y
(
1
−
y
k
)
\dfrac{dy}{dx}=y\Bigl(1-\dfrac{y}{k}\Bigr)
d
x
d
y
=
y
(
1
−
k
y
)
shows a horizontal line at
y
=
4
y=4
y
=
4
acting as an equilibrium solution. Determine the value of the constant
k
k
k
.
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