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Mathematics
Problem
A slope field labeled I has segments whose inclination changes with
x
x
x
but is identical for all values of
y
y
y
. Which differential equation is most consistent with slope field I? a)
d
y
d
x
=
ln
y
\dfrac{dy}{dx}=\ln y
d
x
d
y
=
ln
y
b)
d
y
d
x
=
x
y
\dfrac{dy}{dx}=xy
d
x
d
y
=
x
y
c)
d
y
d
x
=
sin
x
\dfrac{dy}{dx}=\sin x
d
x
d
y
=
sin
x
d)
d
y
d
x
=
y
2
−
1
\dfrac{dy}{dx}=y^{2}-1
d
x
d
y
=
y
2
−
1
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