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Deck 2: First-Order Differential Equations
Full screen (f)
Question
Solve the problem 
numerically for 
using 
.
A) 1.1
B) 1.121
C) 1.2331
D) 1.23
E) 1.221
numerically for using .A) 1.1
B) 1.121
C) 1.2331
D) 1.23
E) 1.221
Question
The differential equation 
is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Question
The differential equation 
has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Question
The differential equation 
is
A) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor xy
E) not exact but having an integrating factor y
isA) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor xy
E) not exact but having an integrating factor y
Question
Solve the problem 
numerically for 
using 
.
A) 2.1
B) 2.442
C) 2.242
D) 2.421
E) 2.4
numerically for using .A) 2.1
B) 2.442
C) 2.242
D) 2.421
E) 2.4
Question
The solution of the differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
The solution of 
is
A)
B)
C)
D)
E) it cannot be solved
isA)
B)
C)
D)
E) it cannot be solved
Question
The differential equation 
can be solved using the substitution
A)
B)
C)
D)
E) it cannot be solved using a substitution
can be solved using the substitutionA)
B)
C)
D)
E) it cannot be solved using a substitution
Question
In the autonomous differential equation 
, the critical point
A)
is an attractor
B)
is a repeller
C)
is an attractor
D)
is a repeller
E)
is semistable
, the critical pointA)
is an attractorB)
is a repellerC)
is an attractorD)
is a repellerE)
is semistable Question
Assume that 
, 
. The autonomous differential equation 
has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) decreasing if
, . The autonomous differential equation has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) decreasing if
Question
The differential equation 
is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Question
The solution of the differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
The differential equation 
is
A) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
isA) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
Question
An integrating factor for the linear differential equation 
is
A) 0
B) 1
C)
D)
E)
isA) 0
B) 1
C)
D)
E)
Question
The differential equation 
can be solved using the substitution
A)
B)
C)
D)
E)
can be solved using the substitutionA)
B)
C)
D)
E)
Question
The solution of the differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
The differential equation 
is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Question
An integrating factor for the linear differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
The differential equation 
has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Question
The autonomous differential equation 
has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
Question
Solve the problem 
numerically for 
using 
A) 1.0
B) 1.001
C) 1.01
D) 1.02
E) 1.002
numerically for using A) 1.0
B) 1.001
C) 1.01
D) 1.02
E) 1.002
Question
The solution of the differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
The differential equation 
can be solved using the substitution
A)
B)
C)
D)
E)
can be solved using the substitutionA)
B)
C)
D)
E)
Question
Solve the problem 
numerically for 
using 
.
A) 1.1
B) 1.11
C) 1.2
D) 1.21
E) 1.221
numerically for using .A) 1.1
B) 1.11
C) 1.2
D) 1.21
E) 1.221
Question
The differential equation 
is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Question
The differential equation 
is
A) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
isA) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
Question
The solution of 
is
A)
B)
C)
D)
E) it cannot be solved
isA)
B)
C)
D)
E) it cannot be solved
Question
An integrating factor for the linear differential equation 
is
A) 0
B) 1
C)
D)
E)
isA) 0
B) 1
C)
D)
E)
Question
The differential equation 
is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Question
The autonomous differential equation 
has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
Question
The solution of the differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
In the autonomous differential equation 
, the critical point
A)
is an attractor
B)
is semistable
C)
is an attractor
D)
is a repeller
E)
is semistable
, the critical pointA)
is an attractorB)
is semistableC)
is an attractorD)
is a repellerE)
is semistable Question
An integrating factor for the linear differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
The differential equation 
is
A) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor x
E) not exact but having an integrating factor y
isA) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor x
E) not exact but having an integrating factor y
Question
The differential equation 
is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Question
The differential equation 
can be solved using the substitution
A)
B)
C)
D)
E) it cannot be solved using a substitution
can be solved using the substitutionA)
B)
C)
D)
E) it cannot be solved using a substitution
Question
The differential equation 
has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Question
The differential equation 
has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Question
The solution of the differential equation 
is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Question
If 
and 
, the autonomous differential equation 
has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
and , the autonomous differential equation has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
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Full screen (f)
Deck 2: First-Order Differential Equations
1
Solve the problem numerically for using .
A) 1.1
B) 1.121
C) 1.2331
D) 1.23
E) 1.221
numerically for using .A) 1.1
B) 1.121
C) 1.2331
D) 1.23
E) 1.221
C
2
The differential equation is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
A
3
The differential equation has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
E
4
The differential equation is
A) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor xy
E) not exact but having an integrating factor y
isA) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor xy
E) not exact but having an integrating factor y
Unlock Deck
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Unlock Deck
k this deck
5
Solve the problem numerically for using .
A) 2.1
B) 2.442
C) 2.242
D) 2.421
E) 2.4
numerically for using .A) 2.1
B) 2.442
C) 2.242
D) 2.421
E) 2.4
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
6
The solution of the differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
7
The solution of is
A)
B)
C)
D)
E) it cannot be solved
isA)
B)
C)
D)
E) it cannot be solved
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
8
The differential equation can be solved using the substitution
A)
B)
C)
D)
E) it cannot be solved using a substitution
can be solved using the substitutionA)
B)
C)
D)
E) it cannot be solved using a substitution
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
9
In the autonomous differential equation , the critical point
A) is an attractor
B) is a repeller
C) is an attractor
D) is a repeller
E) is semistable
, the critical pointA)
is an attractorB)
is a repellerC)
is an attractorD)
is a repellerE)
is semistable Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
10
Assume that , . The autonomous differential equation has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) decreasing if
, . The autonomous differential equation has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) decreasing if
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
11
The differential equation is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
12
The solution of the differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
13
The differential equation is
A) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
isA) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
14
An integrating factor for the linear differential equation is
A) 0
B) 1
C)
D)
E)
isA) 0
B) 1
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
15
The differential equation can be solved using the substitution
A)
B)
C)
D)
E)
can be solved using the substitutionA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
16
The solution of the differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
17
The differential equation is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
18
An integrating factor for the linear differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
19
The differential equation has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
20
The autonomous differential equation has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
21
Solve the problem numerically for using
A) 1.0
B) 1.001
C) 1.01
D) 1.02
E) 1.002
numerically for using A) 1.0
B) 1.001
C) 1.01
D) 1.02
E) 1.002
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
22
The solution of the differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
23
The differential equation can be solved using the substitution
A)
B)
C)
D)
E)
can be solved using the substitutionA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
24
Solve the problem numerically for using .
A) 1.1
B) 1.11
C) 1.2
D) 1.21
E) 1.221
numerically for using .A) 1.1
B) 1.11
C) 1.2
D) 1.21
E) 1.221
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
25
The differential equation is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
26
The differential equation is
A) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
isA) exact with solution
B) exact with solution
C) exact with solution
D) exact with solution
E) not exact
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
27
The solution of is
A)
B)
C)
D)
E) it cannot be solved
isA)
B)
C)
D)
E) it cannot be solved
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
28
An integrating factor for the linear differential equation is
A) 0
B) 1
C)
D)
E)
isA) 0
B) 1
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
29
The differential equation is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
30
The autonomous differential equation has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
31
The solution of the differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
32
In the autonomous differential equation , the critical point
A) is an attractor
B) is semistable
C) is an attractor
D) is a repeller
E) is semistable
, the critical pointA)
is an attractorB)
is semistableC)
is an attractorD)
is a repellerE)
is semistable Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
33
An integrating factor for the linear differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
34
The differential equation is
A) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor x
E) not exact but having an integrating factor y
isA) exact with solution
B) exact with solution
C) exact with solution
D) not exact but having an integrating factor x
E) not exact but having an integrating factor y
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
35
The differential equation is
A) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
isA) linear
B) homogeneous
C) separable
D) exact
E) Bernoulli
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
36
The differential equation can be solved using the substitution
A)
B)
C)
D)
E) it cannot be solved using a substitution
can be solved using the substitutionA)
B)
C)
D)
E) it cannot be solved using a substitution
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
37
The differential equation has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
38
The differential equation has the solution
A)
B)
C)
D)
E)
has the solutionA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
39
The solution of the differential equation is
A)
B)
C)
D)
E)
isA)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
40
If and , the autonomous differential equation has a solution that is
A) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
and , the autonomous differential equation has a solution that isA) increasing everywhere
B) decreasing everywhere
C) increasing if
D) decreasing if
E) increasing if
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 40 flashcards in this deck.
