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Chapter 20
Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
20.1
Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology. page 21
20.2
Chapter 1, First-Order Differential Equations. Section 1.4, Separable Differential Equations. page 43
20.3
Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential Equations. page 59
20.4
Chapter 1, First-Order Differential Equations. Section 1.8, Change of Variables. page 79
20.5
Chapter 1, First-Order Differential Equations. Section 1.9, Exact Differential Equations. page 91
20.6
Chapter 8, Linear differential equations of order n. Section 8.1, General Theory for Linear Differential Equations. page 502
20.7
Chapter 8, Linear differential equations of order n. Section 8.3, The Method of Undetermined Coefficients. page 525
20.8
Chapter 8, Linear differential equations of order n. Section 8.4, Complex-Valued Trial Solutions. page 529
20.9
Chapter 8, Linear differential equations of order n. Section 8.7, The Variation of Parameters Method. page 556
20.10
Chapter 8, Linear differential equations of order n. Section 8.8, A Differential Equation with Nonconstant Coefficients. page 567
20.11
Chapter 8, Linear differential equations of order n. Section 8.9, Reduction of Order. page 572
20.12
Chapter 8, Linear differential equations of order n. Section 8.10, Chapter review. page 575
20.13
Chapter 9, First order linear systems. Section 9.1, page 587
20.14
Chapter 9, First order linear systems. Section 9.2, page 592
20.15
Chapter 9, First order linear systems. Section 9.3, page 598
20.16
Chapter 9, First order linear systems. Section 9.4 (Nondefective coefficient matrix), page 607
20.17
Chapter 9, First order linear systems. Section 9.5 (Defective coefficient matrix), page 619
20.18
Chapter 9, First order linear systems. Section 9.6 (Variation of parameters for linear systems), page 624
20.19
Chapter 9, First order linear systems. Section 9.8 (Matrix exponential function), page 642
20.20
Chapter 9, First order linear systems. Section 9.11 (Chapter review), page 665
20.21
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.4. page 689
20.22
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.7. page 704
20.23
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.8. page 710
20.24
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.2. page 739
20.25
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.4. page 758
20.26
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.5. page 771
20.27
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.6. page 783
20.28
Chapter 11, Series Solutions to Linear Differential Equations. Additional problems. Section 11.7. page 788
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