AP Calculus BC Quiz
20 questions · no time limit
0:00
Finish quiz
DIFFERENTIAL EQUATIONS
Question 1
of 20
Flag for review
No time limit
Current
Answered
Flagged
Not seen
A function
y
(
x
)
y(x)
y
(
x
)
satisfies
d
y
d
x
=
(
x
2
+
1
)
e
y
\frac{dy}{dx}=(x^2+1)e^{y}
d
x
d
y
=
(
x
2
+
1
)
e
y
. What is the general solution for
y
(
x
)
y(x)
y
(
x
)
?
A
e
−
y
=
1
3
x
3
+
x
+
C
e^{-y}=\frac{1}{3}x^3+x+C
e
−
y
=
3
1
x
3
+
x
+
C
B
−
e
−
y
=
1
3
x
3
+
x
+
C
-e^{-y}=\frac{1}{3}x^3+x+C
−
e
−
y
=
3
1
x
3
+
x
+
C
C
e
y
=
1
3
x
3
+
x
+
C
e^{y}=\frac{1}{3}x^3+x+C
e
y
=
3
1
x
3
+
x
+
C
D
y
=
1
3
x
3
+
x
+
C
y=\frac{1}{3}x^3+x+C
y
=
3
1
x
3
+
x
+
C
E
−
e
y
=
1
3
x
3
+
x
+
C
-e^{y}=\frac{1}{3}x^3+x+C
−
e
y
=
3
1
x
3
+
x
+
C
YOUR PROGRESS
20
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
KEYBOARD
Pick an answer
A
B
C
D
E
Next question
↵
→
Previous
←
Flag for review
F