Department of Mathematics
University of Kansas
Office: 502 Snow Hall
Phone: 785-864-5180
email: mandal@ku.edu

Satya Mandal

Differential Equations (Math 221): Fall 2020 Version

Homework

No. Due Date Section Comments
Chapter 1

Introduction
1. Open Ended 1.1 Just draw a few tangent segments. If you can install dfield8, in MATLAB that would be great.
2. Aug 30 (M) 1.2
1.3 No HW
Chapter 2

First Order ODE
3. (M) 2.1 Linear ODEs Work out all the problems
4. (M) 2.2 Separable Variables Work out all the problems
5. (M) 2.3 Miscellaneous ODEs Solve all problems: Homogeneous and Bernoulli
6. None 2.4 Examples of ODE Models No HW
7. (M) 2.5 Existence and Uniqueness of Solutions Solve all
8. (M) 2.6 Equilibrium Solutions Solve all
9. (M) 2.7 Exact Equations Solve all
10. (M) 2.8 Euler Method (Numerical) Solve all (Use MS Excel or my Matlab program.)
Chapter 3

Second Order Linear ODE
10. (M) 3.1 Introduction There is only one problem assigned, for 5 Points.
11. (M) 3.2 Homogenous Linear ODE None
12. (M) 3.3 Fundamental Set of Solutions
13. (M) 3.4 Repeated roots of CE None
14. (M) 3.5 Complex roots of CE None
15. (M) 3.6 Nonhomogeneous: Method of Variation of Parameters None
16. None 3.7 Method of Undetermined Coefficients You experiment and try to solve some of the problems in previous section, using this method.
Search internet for a suitable chart.
17. None 3.8 Elements of Particle Dynamics Read this section carefully. You would be asked to derive some of it, in the Takehome part of the Exam.
Chapter 4

Higher Order Linear ODE
18. None 4.1 General Overview of Theory No HW assigned.
19. (M) 4.2 Linear Homogeneous ODE, with constant coefficients Included for the Exam
20. None 4.3 Nonhomogeneous Linear ODE No HW assigned.
Chapter 5

System of First Order ODE
21. NONE 5.1 Introduction No Homework
22. NONE 5.2 Algebra of Matrices No Homework
23. NONE 5.3 Linear Systems and Eigen Values HW will not be collected of graded. However, there are some problems for practice.
24. NONE 5.4 The Theoretical Foundation No Homework
25 (M) 5.5 Homogeneous Systems with Constant Coefficients No additonal comment
26. (M) 5.6 Complex Eigenvalues No additonal comment
27 (M) 5.7 Repeated Egenvalues No additonal comment
28. (M) 5.8 Nonhomogeneous Linear Systems Solutions are already on the site. Look at them, only when you get stuck.
Chapter 6

The Laplace Transform
29. (M) 6.1 Definition of Laplace Transform Solutions are already on the site. Look at them, only when you get stuck.
30. (M) 6.2 Solutions of Initial Value Problems Solutions are already on the site. Look at them, only when you get stuck.
31. NONE! 6.3 Step Functions and Dirac Delta HW will not be collected or graded
32. NONE! 6.4 Systems with Discontinuous Functions HW will not be collected or graded