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Chapter 57
A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag, NY. 2015.
57.1
Chapter 1, First order differential equations. Section 1.1 First order equations. Exercises page 10
57.2
Chapter 1, First order differential equations. Section 1.1.3 Geometric. Exercises page 15
57.3
Chapter 1, First order differential equations. Section 1.2 Antiderivatives. Exercises page 19
57.4
Chapter 1, First order differential equations. Section 1.3.1 Separable equations. Exercises page 26
57.5
Chapter 1, First order differential equations. Section 1.4.1. Integrating factors. Exercises page 41
57.6
Chapter 2, Second order linear equations. Section 2.2.2 Real eigenvalues. Exercises page 90
57.7
Chapter 2, Second order linear equations. Section 2.2.3 Complex eigenvalues. Exercises page 94
57.8
Chapter 2, Second order linear equations. Section 2.2.4. Applications. Exercises page 99
57.9
Chapter 2, Second order linear equations. Section 2.3.1 Nonhomogeneous Equations: Undetermined Coefficients. Exercises page 110
57.10
Chapter 2, Second order linear equations. Section 2.3.2 Resonance Exercises page 114
57.11
Chapter 2, Second order linear equations. Section 2.4.1 Cauchy-Euler equations. Exercises page 120
57.12
Chapter 2, Second order linear equations. Section 2.4.2 Variation of parameters. Exercises page 124
57.13
Chapter 2, Second order linear equations. Section 2.4.3 Reduction of order. Exercises page 125
57.14
Chapter 2, Second order linear equations. Section 2.5 Higher order equations. Exercises page 130
57.15
Chapter 3, Laplace transform. Section 3.2.1 Initial value problems. Exercises page 156
57.16
Chapter 3, Laplace transform. Section 3.3 The convolution property. Exercises page 162
57.17
Chapter 3, Laplace transform. Section 3.4 Impulsive sources. Exercises page 173
57.18
Chapter 4, Linear Systems. Exercises page 190
57.19
Chapter 4, Linear Systems. Exercises page 202
57.20
Chapter 4, Linear Systems. Exercises page 218
57.21
Chapter 4, Linear Systems. Exercises page 225
57.22
Chapter 4, Linear Systems. Exercises page 237
57.23
Chapter 4, Linear Systems. Exercises page 244
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