First course in differential equations with modeling applications 10th edition zill test bank

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Chapter 08 Form C: SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS MULTIPLE CHOICE

1. The Wronskian of the vector functions

and

is

Select the correct answer. a. b. c. d. e.

ANS: A

PTS: 1

2. The Wronskian of the vector functions

and

is

and

is a particular

Select the correct answer. a. b. c. d. e.

ANS: B 3. If

PTS: 1

and

are solutions of the third order system

solution of , then the general solution of Select the correct answer. a. b. c. d. e.

ANS: C

PTS: 1

is

4. The characteristic equation of

is

Select the correct answer. a. b. c. d. e.

ANS: D

PTS: 1

5. The solution of the system

is

Select the correct answer. a.

b.

c.

d.

e. none of the above ANS: A

PTS: 1

6. The characteristic equation of

Select the correct answer. a. b. c. d. e.

ANS: C

PTS: 1

is

7. The eigenvalues of

is

Select the correct answer. a. b. c. d. e.

ANS: C

PTS: 1

8. The solution of the system

is

Select the correct answer. a.

b.

c.

d.

e. none of the above ANS: B

PTS: 1

9. The characteristic equation of

Select the correct answer. a. b. c. d. e.

ANS: B

PTS: 1

is

10. The solution of the system

is

Select the correct answer. a.

b.

c.

d.

e. none of the above ANS: A

PTS: 1

11. The characteristic equation for the matrix

Select the correct answer. a. b. c. d. e.

ANS: E

PTS: 1

12. The eigenvalues of the matrix A of the previous problem are

Select the correct answer. a. b. c. d. e.

ANS: B

PTS: 1

is

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

Select the correct answer. a.

b.

c.

d.

e.

ANS: E

PTS: 1

14. The characteristic equation of

is

Select the correct answer. a. b. c. d. e.

ANS: D

PTS: 1

15. The eigenvalues of

Select the correct answer.

is

is

a. b. c. d. e.

ANS: D

PTS: 1

16. The solution of the system

is

Select the correct answer. a.

b.

c.

d.

e. none of the above ANS: A

PTS: 1

17. A particular solution of

Select the correct answer. a.

b.

c.

is

d.

e.

ANS: D

PTS: 1

18. A particular solution of

Select the correct answer. a.

b.

c.

d.

e.

ANS: E

19. Let

PTS: 1

. Then

Select the correct answer. a.

is

b.

c.

d.

e. none of the above ANS: C

20. Let

PTS: 1

. Then

Select the correct answer. a. b. c. d. e.

ANS: A

PTS: 1