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Mathematics
Mathematics
Problem
Explain why any solution curve of the differential equation
d
y
d
x
=
y
(
2
−
y
)
\dfrac{dy}{dx}=y(2-y)
d
x
d
y
=
y
(
2
−
y
)
that passes through a point with
y
>
2
y>2
y
>
2
must be decreasing at that point.
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