First Course in Differential Equations with Modeling Applications 10th Edition Zill Test Bank

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Product details:

• ISBN-10 ‏ : ‎ 1111827052
• ISBN-13 ‏ : ‎ 978-1111827052
• Author:  Dennis Zill

A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, “Remarks” boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.

First Course in Differential Equations with Modeling Applications 10th Edition Zill Solutions Manual

Table of contents:

1. Ch 1: Introduction to Differential Equations
2. Ch 1: Introduction
3. 1.1: Definitions and Terminology
4. 1.2: Initial-Value Problems
5. 1.3: Differential Equations as Mathematical Models
6. Chapter 1 in Review
7. Ch 2: First-Order Differential Equations
8. Ch 2: Introduction
9. 2.1: Solution Curves Without a Solution
10. 2.2: Separable Equations
11. 2.3: Linear Equations
12. 2.4: Exact Equations
13. 2.5: Solutions by Substitutions
14. 2.6: A Numerical Method
15. Chapter 2 in Review
16. Ch 3: Modeling With First-Order Differential Equations
17. Ch 3: Introduction
18. 3.1: Linear Models
19. 3.2: Nonlinear Models
20. 3.3: Modeling with Systems of First-Order DEs
21. Chapter 3 in Review
22. Ch 4: Higher-Order Differential Equations
23. Ch 4: Introduction
24. 4.1: Preliminary Theory—Linear Equations
25. 4.2: Reduction of Order
26. 4.3: Homogeneous Linear Equations with Constant Coefficients
27. 4.4: Undetermined Coefficients—Superposition Approach
28. 4.5: Undetermined Coefficients—Annihilator Approach
29. 4.6: Variation of Parameters
30. 4.7: Cauchy-Euler Equation
31. 4.8: Green’s Functions
32. 4.9: Solving Systems of Linear DEs by Elimination
33. 4.10: Nonlinear Differential Equations
34. Chapter 4 in Review
35. Ch 5: Modeling With Higher-Order Differential Equations
36. Ch 5: Introduction
37. 5.1: Linear Models: Initial-Value Problems
38. 5.2: Linear Models: Boundary-Value Problems
39. 5.3 Nonlinear Models
40. Chapter 5 in Review
41. Ch 6: Series Solutions of Linear Equations
42. Ch 6: Introduction
43. 6.1: Review of Power Series
44. 6.2: Solutions About Ordinary Points
45. 6.3: Solutions About Singular Points
46. 6.4: Special Functions
47. Chapter 6 in Review
48. Ch 7: The Laplace Transform
49. Ch 7: Introduction
50. 7.1: Definition of the Laplace Transform
51. 7.2: Inverse Transforms and Transforms of Derivatives
52. 7.3: Operational Properties I
53. 7.4: Operational Properties II
54. 7.5: The Dirac Delta Function
55. 7.6: Systems of Linear Differential Equations
56. Chapter 7 in Review
57. Ch 8: Systems of Linear First-order Differential Equations
58. Ch 8: Introduction
59. 8.1: Preliminary Theory—Linear Systems
60. 8.2: Homogeneous Linear Systems
61. 8.3: Nonhomogeneous Linear Systems
62. 8.4: Matrix Exponential
63. Chapter 8 in Review
64. Ch 9: Numerical Solutions of Ordinary Differential Equations
65. Ch 9: Introduction
66. 9.1: Euler Methods and Error Analysis
67. 9.2: Runge-Kutta Methods
68. 9.3: Multistep Methods
69. 9.4: Higher-Order Equations and Systems
70. 9.5: Second-Order Boundary-Value Problems
71. Chapter 9 in Review
72. Appendix I: Gamma Function
73. Appendix II: Matrices
74. Appendix III: Laplace Transforms
75. Answers for Selected Odd-Numbered Problems

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