# A first course in differential equations with modeling applications / Dennis G. Zill.

##### By: Zill, Dennis G.

Material type: TextPublisher: Pacific Grove, CA : Brooks/Cole Thomson Learning, c2001Edition: 7th ed.Description: xiii, (various pagings) : ill. (some col.) ; 27 cm.ISBN: 0534379990 (alk. paper); 9780534379995.Subject(s): Differential equationsDDC classification: 515.35 Online resources: WorldCat detailsItem type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
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Text | EWU Library Reserve Section | Non-fiction | 515.35 ZIF 2001 (Browse shelf) | C-1 | Not For Loan | 12662 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 ZIF 2001 (Browse shelf) | C-2 | Available | 12663 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 ZIF 2001 (Browse shelf) | C-3 | Available | 12664 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 ZIF 2001 (Browse shelf) | C-4 | Available | 12665 | ||

Text | EWU Library Circulation Section | Non-fiction | 515.35 ZIF 2001 (Browse shelf) | C-5 | Available | 12666 |

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515.35 TRE 2001 Elementary differential equations with boundary value problems / | 515.35 TRE 2001 Elementary differential equations with boundary value problems / | 515.35 TRE 2001 Elementary differential equations with boundary value problems / | 515.35 ZIF 2001 A first course in differential equations with modeling applications / | 515.35 ZIF 2001 A first course in differential equations with modeling applications / | 515.35 ZIF 2001 A first course in differential equations with modeling applications / | 515.35 ZIF 2001 A first course in differential equations with modeling applications / |

Rev. ed. of: A first course in differential equations. 5th ed. c1993.

Includes index.

Table of contents Preface --

Acknowledgments --

1. Introduction to differential equations --

1.1. Definitions and terminology --

1.2. Initial-value problems --

1.3. Differential equations as mathematical models --

Chapter 1 in review --

2. First-order differential equations --

2.1. Solution curves without the solution --

2.2. Separable variables --

2.3. Linear equations --

2.4. Exact equations --

2.5. Solutions by substitutions --

2.6. A numerical solution --

Chapter 2 in review --

3. Modeling with first-order differential equations --

3.1. Linear equations --

3.2. Nonlinear equations --

3.3. Systems of linear and nonlinear differential equations --

Chapter 3 in review --

Project module : harvesting of renewable natural resources / Gilbert N. Lewis --

4. Higher-order differential equations --

4.1. Preliminary theory : linear equations --

4.1.1. Initial-value and boundary-value problems --

4.1.2. Homogeneous equations --

4.1.3. Nonhomogeneous equations --

4.2. Reduction of order --

4.3. Homogeneous linear equations with constant coefficients --

4.4. Undetermined coefficients--superposition approach --

4.5. Undetermined coefficients--annihilator approach --

4.6. Variation of parameters --

4.7. Cauchy-Euler equation --

4.8. Solving systems of linear equations by elimination --

4.9. Nonlinear equations --

Chapter 4 in review --

5. Modeling with higher-order differential equations --

5.1. Linear equations : initial-value problems --

5.1.1. Spring/mass systems : free undamped motion --

5.1.2. Spring/mass systems : free damped motion --

5.1.3. Spring/mass systems : driven motion --

5.1.4. Series circuit analogue --

5.2. Linear equations : boundary-value problems --

5.3. Nonlinear equations --

Chapter 5 in review --

Project module : the collapse of the Tacoma Narrows suspension bridge / Gilbert N. Lewis --

6. Series solutions of linear equations --

6.1. Solutions about ordinary points --

6.1.1. Review of power series --

6.1.2. Power series solutions --

6.2. Solutions about singular points --

6.3. Two special equations --

Chapter 6 in review --

7. The Laplace transform --

7.1. Definition of the Laplace transform --

7.2. Inverse transform and transforms of derivatives --

7.3. Translation theorems --

7.3.1. Translation on the s-axis --

7.3.2. Translation on the t-axis --

7.4. Additional operational properties --

7.5. Dirac Delta function --

7.6. Systems of linear equations --

Chapter 7 in review --

8. Systems of linear first-order differential equations --

8.1. Preliminary theory --

8.2. Homogeneous linear systems with constant coefficients --

8.2.1. Distinct real eigenvalues --

8.2.2. Repeated eigenvalues --

8.2.3. Complex eigenvalues --

8.3. Variation of parameters --

8.4. Matrix exponential --

Chapter 8 in review --

Project module : earthquake shaking of multistory buildings / Gilbert N. Lewis --

9. Numerical solutions of ordinary differential equations --

9.1. Euler methods and error analysis --

9.2. Runge-Kutta methods --

9.3. Multistep methods --

9.4. Higher-order equations and systems --

9.5. Second-order boundary-value problems --

Chapter 9 in review --

Appendixes --

I. Gamma functions --

II. Introduction to matrices --

III. Laplace transforms --

Selected answers for odd-numbered problems --

Index.

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