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Chapter 14
Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition, 2015
14.1
Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology. page 21
14.2
Chapter 1, First-Order Differential Equations. Section 1.4, Separable Differential Equations. page 43
14.3
Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential Equations. page 59
14.4
Chapter 1, First-Order Differential Equations. Section 1.8, Change of Variables. page 79
14.5
Chapter 1, First-Order Differential Equations. Section 1.9, Exact Differential Equations. page 91
14.6
Chapter 8, Linear differential equations of order n. Section 8.1, General Theory for Linear Differential Equations. page 502
14.7
Chapter 8, Linear differential equations of order n. Section 8.3, The Method of Undetermined Coefficients. page 525
14.8
Chapter 8, Linear differential equations of order n. Section 8.4, Complex-Valued Trial Solutions. page 529
14.9
Chapter 8, Linear differential equations of order n. Section 8.7, The Variation of Parameters Method. page 556
14.10
Chapter 8, Linear differential equations of order n. Section 8.8, A Differential Equation with Nonconstant Coefficients. page 567
14.11
Chapter 8, Linear differential equations of order n. Section 8.9, Reduction of Order. page 572
14.12
Chapter 8, Linear differential equations of order n. Section 8.10, Chapter review. page 575
14.13
Chapter 9, First order linear systems. Section 9.1, page 587
14.14
Chapter 9, First order linear systems. Section 9.2, page 592
14.15
Chapter 9, First order linear systems. Section 9.3, page 598
14.16
Chapter 9, First order linear systems. Section 9.4 (Nondefective coefficient matrix), page 607
14.17
Chapter 9, First order linear systems. Section 9.5 (Defective coefficient matrix), page 619
14.18
Chapter 9, First order linear systems. Section 9.6 (Variation of parameters for linear systems), page 624
14.19
Chapter 9, First order linear systems. Section 9.8 (Matrix exponential function), page 642
14.20
Chapter 9, First order linear systems. Section 9.11 (Chapter review), page 665
14.21
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.4. page 689
14.22
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.7. page 704
14.23
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.8. page 710
14.24
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.2. page 739
14.25
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.4. page 758
14.26
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.5. page 771
14.27
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.6. page 783
14.28
Chapter 11, Series Solutions to Linear Differential Equations. Additional problems. Section 11.7. page 788
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