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Chapter 63
A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag, NY. 2015.
63.1
Chapter 1, First order differential equations. Section 1.1 First order equations. Exercises page 10
63.2
Chapter 1, First order differential equations. Section 1.1.3 Geometric. Exercises page 15
63.3
Chapter 1, First order differential equations. Section 1.2 Antiderivatives. Exercises page 19
63.4
Chapter 1, First order differential equations. Section 1.3.1 Separable equations. Exercises page 26
63.5
Chapter 1, First order differential equations. Section 1.4.1. Integrating factors. Exercises page 41
63.6
Chapter 2, Second order linear equations. Section 2.2.2 Real eigenvalues. Exercises page 90
63.7
Chapter 2, Second order linear equations. Section 2.2.3 Complex eigenvalues. Exercises page 94
63.8
Chapter 2, Second order linear equations. Section 2.2.4. Applications. Exercises page 99
63.9
Chapter 2, Second order linear equations. Section 2.3.1 Nonhomogeneous Equations: Undetermined Coefficients. Exercises page 110
63.10
Chapter 2, Second order linear equations. Section 2.3.2 Resonance Exercises page 114
63.11
Chapter 2, Second order linear equations. Section 2.4.1 Cauchy-Euler equations. Exercises page 120
63.12
Chapter 2, Second order linear equations. Section 2.4.2 Variation of parameters. Exercises page 124
63.13
Chapter 2, Second order linear equations. Section 2.4.3 Reduction of order. Exercises page 125
63.14
Chapter 2, Second order linear equations. Section 2.5 Higher order equations. Exercises page 130
63.15
Chapter 3, Laplace transform. Section 3.2.1 Initial value problems. Exercises page 156
63.16
Chapter 3, Laplace transform. Section 3.3 The convolution property. Exercises page 162
63.17
Chapter 3, Laplace transform. Section 3.4 Impulsive sources. Exercises page 173
63.18
Chapter 4, Linear Systems. Exercises page 190
63.19
Chapter 4, Linear Systems. Exercises page 202
63.20
Chapter 4, Linear Systems. Exercises page 218
63.21
Chapter 4, Linear Systems. Exercises page 225
63.22
Chapter 4, Linear Systems. Exercises page 237
63.23
Chapter 4, Linear Systems. Exercises page 244
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