Math 256, Introduction to Differential Equations: Homework

1/3

1.2

1, 2, 7, 11

2.1

13, 14, 17

1/5

2.1

1c), 3c), 6c), 12c), 15, 16, 18, 19, 20, 31, 34

1/7

2.2

3, 7, 8, 9, 14, 19, 23 

 

 

Homework due Wednesday, Jan. 12

 

 

 

1/10

2.3

3, 7, 8, 9, 10, 13, 23  

1/12

1.2

13

2.4

1-4, 27, 28

1/14

2.4

13, 15, 16, 22a,b, 25

 

 

Homework due Wednesday, Jan. 19

 

 

 

1/17

 

No class

1/19

2.5

1, 3, 5, 7, 9, 10, 15a, 16a,b, 17a, 20

1/21

2.7

1a,b; 2a,b; 11a, 12a.

 

 

Homework due Wednesday, Jan. 26

 

 

 

1/24

 

No homework assigned

1/26

3.1

1, 3, 5, 7, 9, 10, 16, 17, 20, 23          

 

Prove the Superposition Principle: if y1(t), y2(t) are solutions of the homogeneous differential equation y’’ + p(t)y’ + q(t)y = 0, then ay1(t) + by2(t) is also a solution for any pair of scalars a, b.

1/28

3.2

1, 3, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17, 23, 27, 29

 

 

Homework due Wednesday, Feb. 2

 

 

 

1/31

3.3

1, 3, 4, 5, 7, 11, 20 23, 24

2/2

3.3

22

 

3.4

1-6

2/4

3.4

7-10, 12-14, 17, 18, 20, 22, 27, 31

 

 

Homework due Wednesday, Feb. 9

 

 

 

2/7

 

Review Session: no homework

2/9

3.5

1, 3, 5, 6, 9, 12(you may use calculator to graph), 16

 

 

Exercise from class: compute W(exp(rt), t exp(rt))

2/11

3.6

1, 2, 3, 6, 13, 17, 18, 31, 32

 

 

Homework due Wednesday, Feb. 16

 

 

 

2/14

3.6

4, 5, 8, 14, 16

2/16

4.1

3, 7-10,

 

4.1

Bonus problem (extra 10 points) 20 a, b, c

 

 

Exercise on determinants: download .pdf file from here

2/18

4.1

11, 12, 13, 15, 17

 

 

Homework due Wednesday, Feb. 23

 

 

 

2/21

4.2

1, 3, 7, 9

2/23

4.2

11, 14, 18, 20, 22, 23

 

4.2

Bonus problem (extra 5 points) 38

2/25

4.3

1, 2, 4, 5, 7, 15, 16 

 

 

Homework due Wednesday, March 2

 

 

 

2/28

3.7

1, 3

3/2

3.7

5, 6, 13, 15

 

4.4

1, 2, 6

3/4

4.4

4, 10, 11

 

 

Homework due Wednesday, March 9

 

 

 

3/7

 

 

3/9

5.2

1, 2, 5