Deck 8: Systems of Linear First-Order Differential Equations

Question 1

The solution of the system is

A)
B)
C)
D)
E) none of the above

Answer 1

A

Question 2

The Wronskian of the vector functions and is

A)
B)
C)
D)
E)

Answer 2

D

Question 3

The solution of the system is

A)
B)
C)
D)
E) none of the above

Answer 3

E

Question 4

The eigenvalues of is

A)
B)
C)
D)
E)

Question 5

The characteristic equation of is

A)
B)
C)
D)
E)

Question 6

If and are solutions of the second order system and is a particular solution of , then the general solution of is

A)
B)
C)
D)
E)

Question 7

The particular solution of is

A)
B)
C)
D)
E) none of the above

Question 8

The particular solution of is

A)
B)
C)
D)
E) none of the above

Question 9

The characteristic equation of is

A)
B)
C)
D)
E) none of the above

Question 10

The solution of the system is

A)
B)
C)
D)
E) none of the above

Question 11

The eigenvalues of is

A)
B)
C)
D)
E)

Question 12

The Wronskian of the vector functions and is

A)
B)
C)
D)
E)

Question 13

The general solution of is

A)
B)
C)
D)
E) none of the above

Question 14

The eigenvalues of is

A)
B)
C)
D)
E) none of the above

Question 15

The eigenvalues of is

A)
B)
C)
D)
E)

Question 16

The characteristic equation of is

A)
B)
C)
D)
E)

Question 17

The characteristic equation of is

A)
B)
C)
D)
E)

Question 18

The eigenvalues of is

A)
B)
C)
D)
E)

Question 19

The characteristic equation of is

A)
B)
C)
D)
E)

Question 20

The solution of the previous problem that satisfies the initial condition is

A)
B)
C)
D)
E) none of the above

Question 21

The characteristic equation of is

A)
B)
C)
D)
E)

Question 22

The solution of the system is

A)
B)
C)
D)
E) none of the above

Question 23

The solution of the system is

A)
B)
C)
D)
E) none of the above

Question 24

A particular solution of is

A)
B)
C)
D)
E)

Question 25

The solution of the system is

A)
B)
C)
D)
E) none of the above

Question 26

Let A be the matrix of the previous two problems. The solution of is

A)
B)
C)
D)
E)

Question 27

The characteristic equation for the matrix is

A)
B)
C)
D)
E)

Question 28

If and are solutions of the third order system and is a particular solution of , then the general solution of is

A)
B)
C)
D)
E)

Question 29

A particular solution of is

A)
B)
C)
D)
E)

Question 30

The characteristic equation of is

A)
B)
C)
D)
E)

Question 31

The characteristic equation of is

A)
B)
C)
D)
E)

Question 32

The eigenvalues of the matrix A of the previous problem are

A)
B)
C)
D)
E)

Question 33

The eigenvalues of is

A)
B)
C)
D)
E)

Question 34

The eigenvalues of is

A)
B)
C)
D)
E)

Question 35

The Wronskian of the vector functions and is

A)
B)
C)
D)
E)

Question 36

Let . Then

A)
B)
C)
D)
E)

Question 37

The Wronskian of the vector functions and is

A)
B)
C)
D)
E)

Question 38

Let . Then

A)
B)
C)
D)
E) none of the above

Question 39

The characteristic equation of is

A)
B)
C)
D)
E)

Question 40

The solution of the system is

A)
B)
C)
D)
E) none of the above