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Math 290 Ordinary Differential Equations (Fall 2001-Allegheny College)


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Section

Practice Problems

Group HW

Due Date

Set

 1.1

1-5,10,17-20,27-36,43,44 

 

 

 

 1.2

3,7-11,15,17,20-22,26,29,30,33,36 

36 

9/14

 

Quiz: Solve IVP

 

9/7

 

 CP1.3

1-12,19-25,21,32,36 

Inv. A, p. 28 

9/14

 1.3

 

 36

9/21 

 1.4

1-9,17-22,29-33,36,59,60

60

9/21 

 

Quiz: separable d.e.

 

 

 

 CP1.4

 

Inv.,  P. 44 a,b

9/28

 1.5

1-4,6,14,15,20,27,32-35,41,42

42 

9/28 

3

 1.6

1-7,13-16,23-25,30-35,51,54

54 

10/5 

 

Quiz: solve linear d.e.

 

 

 

 CP1.6

 

Inv., P. 73 

10/5

2.1

1,2,5-9,18

 

 

 

 CP2.1

 

Inv. A, p. 87 

10/12

Up to 2.1

Exam 1

 

10/10

 

2.2

1-5,13,14,18 

14 

10/19 

2.2

Suppose y=0 is a stable (unstable) equilibrium of y'=f(x,y). Suppose g(x,y)=f(x,y) if |y|<1/x. What can you tell about y'=g(x,y)?

<-----

10/26

7

2.3 

1-4,7,11 

 

 

 

 

 

 

 

 

2.4 

1-5 

 

 

 

CP2.4 

 

Inv., p. 116 

10/26 

3.1

1-5,17,20-27,30-37,43,44,49,50 

32 

11/2 

 

Quiz: second order linear equations

 

11/2

 

3.2

13-15,21-26,31,32

32 

11/9 

3.3 

1-10,27,33,34,39,40,48,50 

50 

11/9 

 

Quiz: higher order linear equations

 

11/7

 

3.4 

1-3,9,15-17,22,23,24,28,35-38 

22 

11/16 

10 

3.5

1-7,21-23,31 

 

 

 

2.2-3.5

Exam 2

 

11/28

 

CP3.5 

 

1-3 

11/30 

11 

4.1 

 1,2,11-15,21-23

26 

11/30 

11 

4.2 

 1-6,10

10 with Mathematica 

12/10 

12 

6.1

1-10,13-17,23,24,30

30

12/10

12

CP6.1 

 

1-5 

12/10 

12

6.3 

2,3 

 -

 

 

8.1

1-8,11,15,16,19-21

 

 

 

8.2

 

 

 

 

 

 

 

 

 

Office

12/14 2:30-5; 12/15 9:15-12; 12/17 2:15-5; 12/18 2:30-5

 

 

 

 

Final Exam 

 

12/17, 2 pm