Deck 6: Section 1: Differential Equations
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Question
Unlock Deck
Sign up to unlock the cards in this deck!
Unlock Deck
Unlock Deck
1/19
Play
Full screen (f)
Deck 6: Section 1: Differential Equations
1
Which of the following is a solution of the differential equation
?
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


2
Use integration to find a general solution of the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


3
Use the differential equation
and its slope field to find the slope at the point
. 
A) 32
B) 1
C) 8
D) 64
E) 16



A) 32
B) 1
C) 8
D) 64
E) 16
1
4
Use integration to find a general solution of the differential equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
5
Sketch the slope field for the differential equation
and use the slope field to sketch the solution that passes through the point
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
6
Which of the following is a solution of the differential equation
?
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
7
Use integration to find a general solution of the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
8
Which of the following is a solution of the differential equation
?
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
9
Select from the choices below the slope field for the differential equation. 
A)
B)
C)
D)
E) none of the above

A)

B)

C)

D)

E) none of the above
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
10
Sketch the slope field for the differential equation
and use the slope field to sketch the solution satisfying the condition
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
11
Use integration to find a general solution of the differential equation . 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
12
Use integration to find a general solution of the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
13
Select from the choices below the slope field for the differential equation. 
A)
B)
C)
D)
E) none of the above

A)

B)

C)

D)

E) none of the above
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
14
Use integration to find a general solution of the differential equation. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
15
Use integration to find a general solution of the differential equation
.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
16
Find the particular solution of the differential equation
that satisfies the initial condition
when x = 2, where
is the general solution.
A)
B)
C)
D)
E)



A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
17
At time
minutes, the temperature of an object is
. The temperature of the object is changing at the rate given by the differential equation
. Use Euler's Method to approximate the particular solutions of this differential equation at
. Use a step size of
. Round your answer to one decimal place.
A) 123.5
B) 120.4
C) 121.9
D) 128.7
E) 116.4





A) 123.5
B) 120.4
C) 121.9
D) 128.7
E) 116.4
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
18
Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck
19
Select from the choices below the slope field for the differential equation. 
A)
B)
C)
D) none of the above

A)

B)

C)

D) none of the above
Unlock Deck
Unlock for access to all 19 flashcards in this deck.
Unlock Deck
k this deck