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1. INTRODUCTION TO DIFFERENTIAL EQUATIONS.
Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review.
2. FIRST-ORDER DIFFERENTIAL EQUATIONS.
Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review.
3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS.
Linear Models. Nonlinear Models. Modeling with Systems of First-Order Differential Equations. Chapter 3 in Review.
4. HIGHER-ORDER DIFFERENTIAL EQUATIONS.
Preliminary Theory-Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review.
5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS.
Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review.
6. SERIES SOLUTIONS OF LINEAR EQUATIONS.
Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review.
7. LAPLACE TRANSFORM.
Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review.
8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS.
Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review.
9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS.
Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review.
Appendix I: Gamma Function.
Appendix II: Matrices.
Appendix III: Laplace Transforms.
Answers for Selected Odd-Numbered Problems.
Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review.
2. FIRST-ORDER DIFFERENTIAL EQUATIONS.
Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review.
3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS.
Linear Models. Nonlinear Models. Modeling with Systems of First-Order Differential Equations. Chapter 3 in Review.
4. HIGHER-ORDER DIFFERENTIAL EQUATIONS.
Preliminary Theory-Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review.
5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS.
Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review.
6. SERIES SOLUTIONS OF LINEAR EQUATIONS.
Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review.
7. LAPLACE TRANSFORM.
Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review.
8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS.
Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review.
9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS.
Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review.
Appendix I: Gamma Function.
Appendix II: Matrices.
Appendix III: Laplace Transforms.
Answers for Selected Odd-Numbered Problems.
More Editions of This Book
Corresponding editions of this textbook are also available below:
A First Course in Differential Equations: The Classic Fifth Edition
5th Edition
ISBN: 9780534373887
A First Course in Differential Equations with Modeling Applications
12th Edition
ISBN: 9780357760192
A first course in differential equations with modeling applications
7th Edition
ISBN: 9780534379995
1ST COURSE IN DIFFERENTIAL EQUATIONS+WE
5th Edition
ISBN: 9780357292037
A First Course in Differential Equations
1st Edition
ISBN: 9780495108245
A First Course in Differential Equations
9th Edition
ISBN: 9781111798482
Student Resource with Solutions Manual for a First Course in Differential Equations with Modeling Applications - 9th Edition
9th Edition
ISBN: 9780495385660
First Course in Differential Equations with Modeling Applications
8th Edition
ISBN: 9780534418786
Student Solutions Manual For Zill's A First Course In Differential Equations With Modeling Applications, 11th
11th Edition
ISBN: 9781305965737
Bundle: A First Course in Differential Equations with Modeling Applications, Loose-leaf Version, 11th + WebAssign Printed Access Card for Zill's ... Problems, 9th Edition, Single-Term
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ISBN: 9781337761000
A First Course In Differential Equations With Modeling Applications
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ISBN: 9781337605007
First Course in Differential Equations (Instructor's)
11th Edition
ISBN: 9781305965775
FIRST CRSE.IN DIFF.EQUAT..-ACCESS
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A First Course in Differential Equations with Modeling Applications, Loose-leaf Version
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ISBN: 9781337293129
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
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ISBN: 9781305965720
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
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ISBN: 9781337652476
Bundle: A First Course in Differential Equations with Modeling Applications, 10th + WebAssign Printed Access Card for Zill's A First Course in ... Applications, 10th Edition, Single-Term
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EBK A FIRST COURSE IN DIFFERENTIAL EQUA
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Student Resource With Solutions Manual For Zill's A First Course In Differential Equations With Modeling Applications, 10th
10th Edition
ISBN: 9781305462205
A First Course in Differential Equations
10th Edition
ISBN: 9781133491927
WEBASSIGN PRINTED ACCESS CARD FOR ZILL'
10th Edition
ISBN: 9781337774109
FIRST CRSE.IN...(LL)-W/ACCESS >CUSTOM<
13th Edition
ISBN: 9781305425200
FIRST CRSE.IN DIFF....(LL)>CUSTOM PKG.<
10th Edition
ISBN: 9781305771697
BNDL:FIRST COURSE IN DIFFERENTIAL EQUATI
5th Edition
ISBN: 9780357265826
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