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Mathematics
Mathematics
Problem
For the differential equation
y
′
=
y
(
3
−
y
)
y' = y(3 - y)
y
′
=
y
(
3
−
y
)
with initial condition
y
(
0
)
=
1
y(0) = 1
y
(
0
)
=
1
, describe the long-term behavior of the solution as
t
→
∞
t \to \infty
t
→
∞
.
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