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Mathematics
Mathematics
Problem
For the differential equation
d
y
d
x
=
y
(
a
−
y
2
)
\dfrac{dy}{dx}=y\left(a-y^{2}\right)
d
x
d
y
=
y
(
a
−
y
2
)
where
a
>
0
a>0
a
>
0
is a constant, state the
y
y
y
-values of all equilibrium solutions in terms of
a
a
a
.
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