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Mathematics
Problem
The differential equation
d
y
d
t
=
y
(
3
−
y
)
\dfrac{dy}{dt}=y(3-y)
d
t
d
y
=
y
(
3
−
y
)
models a population with initial value
y
(
0
)
=
1.2
y(0)=1.2
y
(
0
)
=
1.2
. Determine
lim
t
→
∞
y
(
t
)
\displaystyle\lim_{t\to\infty}y(t)
t
→
∞
lim
y
(
t
)
. a)
1.5
1.5
1.5
b) The limit does not exist;
y
(
t
)
→
∞
y(t)\to\infty
y
(
t
)
→
∞
. c)
3
3
3
d)
0
0
0
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