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Mathematics
Problem
The differential equation
d
y
d
x
=
y
−
1
\dfrac{dy}{dx}=y-1
d
x
d
y
=
y
−
1
is represented by a slope field. State whether solution curves are increasing or decreasing when (a)
y
>
1
y>1
y
>
1
and (b)
y
<
1
y<1
y
<
1
. Answer using the words "increasing" or "decreasing" for each region.
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