Chapter 13
Differential equations and their applications, 3rd ed., M. Braun

13.1 Section 1.2. Page 6
13.2 Section 1.2. Page 9
13.3 Section 1.4. Page 24
13.4 Section 1.9. Page 66
13.5 Section 1.10. Page 80
13.6 Section 2.1, second order linear differential equations. Page 134
13.7 Section 2.2, linear equations with constant coefficients. Page 138
13.8 Section 2.2.1, Complex roots. Page 141
13.9 Section 2.2.2, Equal roots, reduction of order. Page 147
13.10 Section 2.4, The method of variation of parameters. Page 154
13.11 Section 2.6, Mechanical Vibrations. Page 171
13.12 Section 2.8, Series solutions. Page 195
13.13 Section 2.8.1, Singular points, Euler equations. Page 201
13.14 Section 2.8.2, Regular singular points, the method of Frobenius. Page 214
13.15 Section 2.8.3, The method of Frobenius. Equal roots, and roots differering by an integer. Page 223