Deck 4: Higher-Order Differential Equations

Question 1

The solution of the system of differential equations is

A)
B)
C)
D)
E)

Answer 1

A

Question 2

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Answer 2

A

Question 3

Two linearly independent solutions of the differential equation are

A)
B)
C)
D)
E)

Answer 3

A

Question 4

The solution of the differential equation is

A)
B)
C)
D)
E)

Question 5

The solution of the initial value problem is

A)
B)
C)
D)
E)

Question 6

Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 7

Two linearly independent solutions of the differential equation are

A)
B)
C)
D)
E)

Question 8

One solution of the differential equation is . A second linearly independent solution is

A)
B)
C)
D)
E)

Question 9

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 10

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 11

Two linearly independent solutions of the differential equation are

A)
B)
C)
D)
E)

Question 12

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 13

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 14

The Wronskian of the functions and is

A)
B)
C)
D)
E)

Question 15

Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 16

The auxiliary equation for the differential equation is

A)
B)
C)
D)
E)

Question 17

The solution of the system of differential equations is

A)
B)
C)
D)
E)

Question 18

The solution of the differential equation is

A)
B)
C)
D)
E)

Question 19

The solution of the differential equation is

A)
B)
C)
D)
E)

Question 20

The solution of the system of differential equations is

A)
B)
C)
D)
E)

Question 21

Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 22

The solution of the equation for the differential equation is

A)
B)
C)
D)
E)

Question 23

Without solving for the undetermined coefficients, the correct form of a particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 24

The auxiliary equation for the differential equation is

A)
B)
C)
D)
E)

Question 25

The solution of the system of differential equations is

A)
B)
C)
D)
E)

Question 26

The solution of the equation for the differential equation is

A)
B)
C)
D)
E)

Question 27

The solution of the differential equation is

A)
B)
C)
D)
E)

Question 28

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 29

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 30

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 31

Which of the following sets of functions are linearly independent on ? Select all that apply.

A)
B)
C)
D)
E)

Question 32

Two linearly independent solutions of the differential equation are

A)
B)
C)
D)
E)

Question 33

The solution of the initial value problem is

A)
B)
C)
D)
E)

Question 34

One solution of the differential equation is . A second linearly independent solution is

A)
B)
C)
D)
E)

Question 35

Two linearly independent solutions of the differential equation are

A)
B)
C)
D)
E)

Question 36

Two linearly independent solutions of the differential equation are

A)
B)
C)
D)
E)

Question 37

A solution of the equation for the differential equation is

A)
B)
C)
D)
E)

Question 38

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 39

A particular solution of the differential equation is

A)
B)
C)
D)
E)

Question 40

The solution of the system of differential equations is

A)
B)
C)
D)
E)