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Chapter 2
Book Solved Problems
2.1
Chapter 1, First-Order Differential Equations. Section 1.2, Basic Ideas and Terminology. page 21
2.2
Chapter 1, First-Order Differential Equations. Section 1.4, Separable Differential Equations. page 43
2.3
Chapter 1, First-Order Differential Equations. Section 1.6, First-Order Linear Differential Equations. page 59
2.4
Chapter 1, First-Order Differential Equations. Section 1.8, Change of Variables. page 79
2.5
Chapter 1, First-Order Differential Equations. Section 1.9, Exact Differential Equations. page 91
2.6
Chapter 8, Linear differential equations of order n. Section 8.1, General Theory for Linear Differential Equations. page 502
2.7
Chapter 8, Linear differential equations of order n. Section 8.3, The Method of Undetermined Coefficients. page 525
2.8
Chapter 8, Linear differential equations of order n. Section 8.4, Complex-Valued Trial Solutions. page 529
2.9
Chapter 8, Linear differential equations of order n. Section 8.7, The Variation of Parameters Method. page 556
2.10
Chapter 8, Linear differential equations of order n. Section 8.8, A Differential Equation with Nonconstant Coefficients. page 567
2.11
Chapter 8, Linear differential equations of order n. Section 8.9, Reduction of Order. page 572
2.12
Chapter 8, Linear differential equations of order n. Section 8.10, Chapter review. page 575
2.13
Chapter 9, First order linear systems. Section 9.1, page 587
2.14
Chapter 9, First order linear systems. Section 9.2, page 592
2.15
Chapter 9, First order linear systems. Section 9.3, page 598
2.16
Chapter 9, First order linear systems. Section 9.4 (Nondefective coefficient matrix), page 607
2.17
Chapter 9, First order linear systems. Section 9.5 (Defective coefficient matrix), page 619
2.18
Chapter 9, First order linear systems. Section 9.6 (Variation of parameters for linear systems), page 624
2.19
Chapter 9, First order linear systems. Section 9.8 (Matrix exponential function), page 642
2.20
Chapter 9, First order linear systems. Section 9.11 (Chapter review), page 665
2.21
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.4. page 689
2.22
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.7. page 704
2.23
Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.8. page 710
2.24
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.2. page 739
2.25
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.4. page 758
2.26
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.5. page 771
2.27
Chapter 11, Series Solutions to Linear Differential Equations. Exercises for 11.6. page 783
2.28
Chapter 11, Series Solutions to Linear Differential Equations. Additional problems. Section 11.7. page 788
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