[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
Chapter 8
Differential equations and their applications, 4th ed., M. Braun
8.1
Chapter 1. First order differential equations. Section 1.2. Linear equations. Excercises page 9
8.2
Chapter 1. First order differential equations. Section 1.4 separable equations. Excercises page 24
8.3
Chapter 1. First order differential equations. Section 1.9. Exact equations. Excercises page 66
8.4
Chapter 1. First order differential equations. Section 1.10. Existence-uniqueness theorem. Excercises page 80
8.5
Chapter 1. First order differential equations. Section 1.17. What to do in practice. Excercises page 126
8.6
Chapter 2. Second order differential equations. Section 2.1. Algebraic properties of solutions. Excercises page 136
8.7
Chapter 2. Second order differential equations. Section 2.2. Linear equations with constant coefficients. Excercises page 140
8.8
Chapter 2. Second order differential equations. Section 2.2.1 Linear equations with constant coefficients (complex roots). Excercises page 144
8.9
Chapter 2. Second order differential equations. Section 2.2.2. Equal roots, reduction of order. Excercises page 149
8.10
Chapter 2. Second order differential equations. Section 2.4. The method of variation of parameters. Excercises page 156
8.11
Chapter 2. Second order differential equations. Section 2.5. Method of judicious guessing. Excercises page 164
8.12
Chapter 2. Second order differential equations. Section 2.8. Series solutions. Excercises page 197
8.13
Chapter 2. Second order differential equations. Section 2.8.1, singular points, Euler equations. Excercises page 203
8.14
Chapter 2. Second order differential equations. Section 2.8.2, Regular singular points, the method of Frobenius. Excercises page 216
8.15
Chapter 2. Second order differential equations. Section 2.8.3, Equal roots and roots differing by an integer. Excercises page 223
8.16
Chapter 2. Second order differential equations. Section 2.9, The method of Laplace transform. Excercises page 232
8.17
Chapter 2. Second order differential equations. Section 2.10, Some useful properties of Laplace transform. Excercises page 238
8.18
Chapter 2. Second order differential equations. Section 2.11, Differential equations with discontinuous right-hand sides. Excercises page 243
8.19
Chapter 2. Second order differential equations. Section 2.12, Dirac delta function. Excercises page 250
8.20
Chapter 2. Second order differential equations. Section 2.14, The method of elimination for systems. Excercises page 258
8.21
Chapter 2. Second order differential equations. Section 2.15, Higher order equations. Excercises page 263
8.22
Section 3.8, Systems of differential equations. The eigenva1ue-eigenvector method. Page 339
8.23
Section 3.9, Systems of differential equations. Complex roots. Page 344
8.24
Section 3.10, Systems of differential equations. Equal roots. Page 352
8.25
Section 3.12, Systems of differential equations. The nonhomogeneous equation. variation of parameters. Page 366
8.26
Chapter 3. Systems of differential equations. Section 3.13 (Solving systems by Laplace transform). Page 370
8.27
Chapter 4. Qualitative theory of differential equations. Section 4.1 (Introduction). Page 3770
8.28
Chapter 4. Qualitative theory of differential equations. Section 4.1 (Introduction). Page 377
8.29
Chapter 4. Qualitative theory of differential equations. Section 4.2 (Stability of linear systems). Page 383
8.30
Chapter 4. Qualitative theory of differential equations. Section 4.3 (Stability of equilibrium solutions). Page 393
8.31
Chapter 4. Qualitative theory of differential equations. Section 4.6 (Qualitative properties of orbits). Page 417
8.32
Chapter 4. Qualitative theory of differential equations. Section 4.7 (Phase portraits of linear systems). Page 427
8.33
Chapter 5. Separation of variables and Fourier series. Section 5.1 (Two point boundary-value problems). Page 480
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]