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Mathematics
Mathematics
Problem
Which differential equation would produce a slope field in which every segment along the horizontal line
y
=
2
y=2
y
=
2
has the same slope, regardless of the
x
x
x
–coordinate? a)
d
y
d
x
=
x
+
2
\dfrac{dy}{dx}=x+2
d
x
d
y
=
x
+
2
b)
d
y
d
x
=
y
+
2
\dfrac{dy}{dx}=y+2
d
x
d
y
=
y
+
2
c)
d
y
d
x
=
x
(
y
+
2
)
\dfrac{dy}{dx}=x\,(y+2)
d
x
d
y
=
x
(
y
+
2
)
d)
d
y
d
x
=
x
2
−
y
\dfrac{dy}{dx}=x^{2}-y
d
x
d
y
=
x
2
−
y
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