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Mathematics
Mathematics
Problem
The slope field for the differential equation
d
y
d
x
=
y
−
2
x
\dfrac{dy}{dx}=y-2x
d
x
d
y
=
y
−
2
x
contains many horizontal line segments. Along which of the following straight lines do all of the line segments appear horizontal? a)
y
=
−
2
x
y=-2x
y
=
−
2
x
b)
y
=
2
x
y=2x
y
=
2
x
c)
y
=
x
2
y=\dfrac{x}{2}
y
=
2
x
d)
y
=
0
y=0
y
=
0
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