Sec. 
Topics 
Homework 
(CAS) 
Solution


1.1 1.2 
Definition and Terminology InitialValue Problems 
4, 7, 8, 9, 10, 13, 16, 20, 27, 28, 30 2, 12, 20,
22, 27 
(55)  


2.2 2.3 
Separable Variables Linear Equations 
8, 14, 20, 22,
23, 27, 45 5,
13, 16, 18, 30, 37 
(ex 4) (5,9) 


2.4 2.5 
Exact Equations Solutions by Substitutions 
2,
5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44 4, 6, 10, 13, 18, 21, 26,
30 
 


2.1 1.3 3.1 
Solution Curves (light coverage) Mathematical Models (reading): Growth and Decay, Linear Models 
1,21,24 See Sec. # 3.1 3, 6, 13, 14,
15, 19, 20, 21, 23 
(5,7)  
2.1


4.1 4.1.1 4.1.2 
Linear Equations: Basic
Theory InitialValue and
BoundaryValue Homogeneous Equations 
3, 10, 12, 13 15, 21, 23,
28 
  


4.1.3 4.2 
Nonhomogeneous Equations Reduction of Order 
33, 36, 37(b,e) 1, 3, 12, 14,
19 
  


4.3 4.5 
Homogeneous Linear
Equations with Constant Coefficients Undetermined Coefficients
– Annihilator Approach 
4, 9, 12, 15,
20, 34, 40, 49, 50, 51 8, 13, 22,
24, 34, 41, 48, 64, 67, 73 
(57)  


4.6 4.7 
Variation of Parameters CauchyEuler Equation (Both Methods) 
6, 11, 13,
24, 25, 28 3, 5, 10, 11,
14, 16, 19, 31, 34, 37, 39 
 (44) 


6.1 6.1.1 6.1.2 
Solutions About Ordinary
Points Review of Power Series Power Series Solutions 
1, 10, 11 15, 17, 20,
22, 32 
  

6.2 
Solutions about Singular
Points^{Ó} 
3, 10, 13,
14, 19, 20, 27 
(ex 5) 

App II 
Matrices and Linear
Systems (review) The Eigenvalue
Problem 
14, 15, 19,
23, 27, 29, 31, 33, 39, 43 47, 49, 52,
53, 55 
  

8.1 8.2 
Preliminary Theory Homogeneous Linear Systems

4, 5, 8, 14,
15, 17, 23, 25 
 
8.1 

8.2.1 8.2.2 8.2.3 
Distinct Real Eigenvalues Repeated Eigenvalues Complex Eigenvalues 
3, 7, 10, 13 19, 21, 23,
25, 27 33, 34, 36,
39, 41, 45 
(ex 2)   

8.3 8.3.2 8.4 
Nonhomogeneous Linear Systems Variation of Parameters Matrix Exponential 
11, 12, 23,
32 1, 5, 9, 2,
6, 4, 8 
(35 (a,b)) (27(a)) 







