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Mathematics
Mathematics
Problem
Consider the differential equation
d
y
d
t
=
y
2
−
9
\dfrac{dy}{dt}=y^{2}-9
d
t
d
y
=
y
2
−
9
. (a) List all equilibrium solutions. (b) Describe the limiting behavior of a solution that satisfies
y
(
0
)
=
4
y(0)=4
y
(
0
)
=
4
as
t
→
∞
t\to\infty
t
→
∞
.
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