AP Calculus AB Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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Which slope field matches
d
y
d
x
=
x
−
y
x
+
y
\dfrac{dy}{dx}=\dfrac{x-y}{x+y}
d
x
d
y
=
x
+
y
x
−
y
(where defined)?
A
Slopes are
0
0
0
along
y
=
x
y=x
y
=
x
; undefined along
y
=
−
x
y=-x
y
=
−
x
; pattern symmetric about the origin.
B
Slopes are
0
0
0
along
y
=
−
x
y=-x
y
=
−
x
; undefined along
y
=
x
y=x
y
=
x
.
C
Slopes depend only on
x
x
x
and are undefined at
x
=
0
x=0
x
=
0
.
D
Slopes depend only on
y
y
y
and are undefined at
y
=
0
y=0
y
=
0
.
E
Slopes are
0
0
0
along
x
=
0
x=0
x
=
0
and
y
=
0
y=0
y
=
0
only.
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