AP Calculus AB Quiz
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DIFFERENTIAL EQUATIONS
Question 1
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A solution to
d
y
d
x
=
sin
x
y
\frac{dy}{dx}=\sin x\, y
d
x
d
y
=
sin
x
y
satisfies
y
(
0
)
=
2
y(0)=2
y
(
0
)
=
2
. Which is the particular solution?
A
y
=
2
e
1
−
cos
x
y=2e^{1-\cos x}
y
=
2
e
1
−
c
o
s
x
B
y
=
2
e
−
cos
x
y=2e^{-\cos x}
y
=
2
e
−
c
o
s
x
C
y
=
2
e
cos
x
y=2e^{\cos x}
y
=
2
e
c
o
s
x
D
y
=
e
1
−
cos
x
y=e^{1-\cos x}
y
=
e
1
−
c
o
s
x
E
y
=
2
(
1
−
cos
x
)
y=2(1-\cos x)
y
=
2
(
1
−
cos
x
)
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