Homework. Satya Mandal, KU

Transcription

1

2 1.1 Modeling : 1.1 Ex 3, 4, 15, 16 Due on January 25 (M)

3 1.2 Solving : 1.2 Exercise 12, 13, 15, 17, 18 Due on January 25 (M)

4 1.4 Classification : None

5 2.1 Linear FODE : , 15, 18, 19, 20, 30. For each problem, include the direction field, with the solution identified. Due on February 1

6 2.2 Separable FODE : 2.2 (page 48-49) Exercise 3, 4, 15, 17, 23 For each problem, include the direction field, with the solution identified. Due on February 1

7 2.3 Modeling FODE : 2.3 (page 60-63) Exercise 2,9,14 (compute τ only) When possible, give the direction field and identify the integral curve February 1

8 2.4 Linear Vs. Nonlinear : 2.4 (page 76) 1, 2 Include the direction field and identify the solution

9 2.5 Autonomous DE : 2.5 (page 88-89) Exercise 3, 4,5, 9, 10 Use Matlab. Give the direction field

10 2.6 Exact FODE : 2.6 (page 101) Exercise 3, 4, 5, 7, 18 Include the direction field

11 2.7 Numerical methods FODE : 2.7 (page 110) Exercise 1-4 Use MS Excel or my Matlab program Include the direction field

12 3.1 LSODE with constant coefficients : 3.1 (page 144) Exercise 5, 10, 12, 16, 22 Include the graph of the solution.

13 3.2 Wronskian and Homogeneous LSODEs : 3. 2 (page 155) Exercise 4, 10, 22, 25, 26, 29, 30, 31

14 3.3 Complex roots of the CE : 3.3 (page 164) Exercise 10; 17, 18, 21; 24a, 24b (optional) Include the graph of the solution, when asked and describe the nature of the solutions.

15 3.4 Repeated roots of the CE : 3.4 (page 172) Exercise 1, 12, 14, 15a, 17a Include the graph of the solution.

16 3.5 Nonhomogeneous Equations : 3.5 (page 184) Exercise 1, 2, 3, 4, 5, 7, 9, 15

17 3.6 Variation of Parameters : 3.6 (page 190) Exercise 1, 2, 13, 14 (Only solve by variation of parameters. No checking by undetermined coefficients needed).

18 3.7 Undamped Vibration : 3.7 (page 203) Exercise 5, 6, 7

19 3.8 Undamped Forced : 3.8 (page 217) Exercise 5, 9, 18, 19 (only give a complete solution, nothing else)

20 7.1 Assignments and Read Example 1, : 7.1 (page 363) Exercise 1, 2, 3 (Will not be collected or graded)

21 7.3 Assignments and Read Example 4-5 (They are helpful). : 7.3 (page 389) Exercise 16, 18, 19, 22, 25 (Will not be collected or graded)

22 7.2 Matrices : 7.2 (page 377) Exercise 4, 21, 22 (Will not be collected or graded)

23 7.3 Linear System and Eigenvaules : 7.3 (page 389) Exercise 16, 18, 19, 22, 25 (Will not be collected or graded)

24 7.4 Theory of System of FOLE : 7.4 None

25 7.5 Homegeneous System with Constant Coefficients : 7.5 (page 405) Exercise 8, 10, 12, 13, 14

26 7.6 Complex Eigenvalues : 7.6 (page 417) Exercise 3a, 4a, 6a, 7, 8, 10 (only solve)

27 7.7 Fundamental MATRICES : 7.7 none none

28 7.8 Repeated Eigenvalues : 7.8 (page 436) Exercise 2c, 3c, 4c, 5

29 7.9 Nonhomogeneous systems : 7.9 (page 447) Exercise 4, 6, 9, 10: Do the following: Compute the matrix T Do the change of variable y = T 1 x and write down y. Give a general solution x.

30 6.1 Laplace Transform : 6.1 (page 315) Exercise 5a, 16, 19, 23, 24

31 6.2 Solving IVP : 6.2 (page 325) Exercise 6, 8, 10, 13, 15, 19, 21, 22, 23, 26, 27

32 6.3 Step Functions : 6.3 (page 333) Exercise 10, 15, 16, 20,22 Due on April TBD

33 6.4 Discontinuous Forcing function : 6.4 (page 341) Exercise 1, 7,10 Try to finish by April 28 (will not be collected or graded)