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Mathematics
Problem
Consider the differential equation
d
y
d
x
=
x
−
y
\dfrac{dy}{dx}=x-y
d
x
d
y
=
x
−
y
. At which of the following lattice points will the line segment in the slope field be horizontal? a)
(
1
,
0
)
(1,0)
(
1
,
0
)
b)
(
2
,
−
2
)
(2,-2)
(
2
,
−
2
)
c)
(
−
1
,
−
1
)
(-1,-1)
(
−
1
,
−
1
)
d)
(
0
,
1
)
(0,1)
(
0
,
1
)
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