Chapter 7
Differential equations and their applications, 3rd ed., M. Braun

7.1 Section 1.2. Page 6
7.2 Section 1.2. Page 9
7.3 Section 1.4. Page 24
7.4 Section 1.9. Page 66
7.5 Section 1.10. Page 80
7.6 Section 2.1, second order linear differential equations. Page 134
7.7 Section 2.2, linear equations with constant coefficients. Page 138
7.8 Section 2.2.1, Complex roots. Page 141
7.9 Section 2.2.2, Equal roots, reduction of order. Page 147
7.10 Section 2.4, The method of variation of parameters. Page 154
7.11 Section 2.6, Mechanical Vibrations. Page 171
7.12 Section 2.8, Series solutions. Page 195
7.13 Section 2.8.1, Singular points, Euler equations. Page 201
7.14 Section 2.8.2, Regular singular points, the method of Frobenius. Page 214
7.15 Section 2.8.3, The method of Frobenius. Equal roots, and roots differering by an integer. Page 223