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Mathematics
Mathematics
Problem
For the differential equation
d
y
d
x
=
y
(
4
−
y
)
\dfrac{dy}{dx}=y(4-y)
d
x
d
y
=
y
(
4
−
y
)
with initial condition
y
(
0
)
=
2
y(0)=2
y
(
0
)
=
2
, determine
lim
x
→
∞
y
(
x
)
\displaystyle\lim_{x\to\infty}y(x)
x
→
∞
lim
y
(
x
)
and explain how the slope field supports your conclusion.
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