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Mathematics
Problem
The differential equation
d
y
d
x
=
y
−
2
x
\dfrac{dy}{dx}=y-2x
d
x
d
y
=
y
−
2
x
is represented by a slope field. Explain why every segment drawn along the line
y
=
2
x
y=2x
y
=
2
x
appears horizontal in this field.
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