Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2008
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Erg. zu: Brannan, James R.: Differential equations |
| Physical Description: | Getr. Zählung zahlr. graph. Darst. |
| ISBN: | 9780470125533 |
Staff View
MARC
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| 245 | 1 | 0 | |a Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce |c by Julie Levandosky |
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2008 | |
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| 336 | |b txt |2 rdacontent | ||
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| 700 | 1 | 2 | |a Brannan, James R. |4 aut |t Differential equations |
| 700 | 1 | 2 | |a Boyce, William E. |d 1930- |0 (DE-588)11468409X |4 aut |t Differential equations |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016424479&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1804137535390089216 |
|---|---|
| adam_text | Table
of
Contents
Chapter
1.
Introduction
1-І
1.1
Some Basic Mathematical Models; Direction Fields
1-1
1.2
Solutions of Some Differential Equations
1 -5
1.3
Numerical Approximations: Euler s Method
1-12
1.4
Classification of Differential Equations
1-15
Chapter
2.
First Order Differential Equations
2-1
2.1
Linear Equations; Method of Integrating Factors
2-1
2.2
Separable Equations
2-8
2.3
Modeling with First Order Equations
2-16
2.4
Differences Between Linear and Nonlinear Equations
2-26
2.5
Autonomous Equations and Population Dynamics
2-44
2.6
Exact Equations and Integrating Factors
2-38
2.7
Accuracy of Numerical Methods
2-44
2.8
Improved
Euler
and Runge-Kutta Methods
2-48
Chapter
3.
Systems of Two First Order Equations
3-1
3.1
Systems of Two Linear Algebraic Equations
3-1
3.2
Systems of Two First Order Linear Differential Equations
3-8
3.3
Homogeneous Linear Systems with Constant Coefficients
3-13
3.4
Complex Eigenvalues
3-29
3.5
Repeated Eigenvalues
3-38
3.6
A Brief Introduction to Nonlinear Systems
3-45
3.7
Numerical Methods for Systems of First Order Equations
3-55
Chapter
4.
Second Order Linear Equations
4-1
4.1
Definitions and Examples
4-1
4.2
Theory of Second Order Linear Homogeneous Equations
4-4
4.3
Linear Homogeneous Equations with Constant Coefficients
4-5
4.4
Characteristic Equations with Complex Roots
4-17
4.5
Mechanical and Electrical Vibrations
4-29
4.6
Nonhomogeneous Equations; Method of Undetermined Coefficients
4-38
4.7
Forced Vibrations, Frequency Response, and Resonance
4-45
4.8
Variation of Parameters
4-51
Chapter
5.
The Laplace Transform
5-1
5.1
Definition of the Laplace Transform
5-1
5.2
Properties of the Laplace Transform
5-7
5.3
The Inverse Laplace Transform
5-13
5.4
Solving Differential Equations with Laplace Transforms
5-16
5.5
Discontinuous Functions and Periodic Functions
5-26
5.6
Differential Equations with Discontinuous Forcing Functions
5-31
5.7
Impulse Functions
5-43
5.8
Convolution Integrals and Their Applications
5-52
5.9
Linear Systems and Feedback Control
5-61
Chapter
6.
Systems of First Order Linear Equations
6-1
6.1
Definitions and Examples
6-1
6.2
Basic Theory of First Order Linear Systems
6-5
6.3
Homogeneous Linear Systems with Constant Coefficients
6-7
6.4
Complex Eigenvalues
6-22
6.5
Fundamental Matrices and the Exponential of a Matrix
6-33
6.6
Nonhomogeneous Linear Systems
6-40
6.7
Defective Matrices
6-47
Chapter
7.
Nonlinear Differential Equations and Stability
7-1
7.1
Autonomous Systems and Stability
7-1
7.2
Almost Linear Systems
7-7
7.3
Competing Species
7-23
7.4
Predator-Prey Equations
7-36
7.5
Periodic Solutions and Limit Cycles
7-45
7.6
Chaos and Strange Attractors: The
Lorenz
Equations
7-56
|
| adam_txt |
Table
of
Contents
Chapter
1.
Introduction
1-І
1.1
Some Basic Mathematical Models; Direction Fields
1-1
1.2
Solutions of Some Differential Equations
1 -5
1.3
Numerical Approximations: Euler's Method
1-12
1.4
Classification of Differential Equations
1-15
Chapter
2.
First Order Differential Equations
2-1
2.1
Linear Equations; Method of Integrating Factors
2-1
2.2
Separable Equations
2-8
2.3
Modeling with First Order Equations
2-16
2.4
Differences Between Linear and Nonlinear Equations
2-26
2.5
Autonomous Equations and Population Dynamics
2-44
2.6
Exact Equations and Integrating Factors
2-38
2.7
Accuracy of Numerical Methods
2-44
2.8
Improved
Euler
and Runge-Kutta Methods
2-48
Chapter
3.
Systems of Two First Order Equations
3-1
3.1
Systems of Two Linear Algebraic Equations
3-1
3.2
Systems of Two First Order Linear Differential Equations
3-8
3.3
Homogeneous Linear Systems with Constant Coefficients
3-13
3.4
Complex Eigenvalues
3-29
3.5
Repeated Eigenvalues
3-38
3.6
A Brief Introduction to Nonlinear Systems
3-45
3.7
Numerical Methods for Systems of First Order Equations
3-55
Chapter
4.
Second Order Linear Equations
4-1
4.1
Definitions and Examples
4-1
4.2
Theory of Second Order Linear Homogeneous Equations
4-4
4.3
Linear Homogeneous Equations with Constant Coefficients
4-5
4.4
Characteristic Equations with Complex Roots
4-17
4.5
Mechanical and Electrical Vibrations
4-29
4.6
Nonhomogeneous Equations; Method of Undetermined Coefficients
4-38
4.7
Forced Vibrations, Frequency Response, and Resonance
4-45
4.8
Variation of Parameters
4-51
Chapter
5.
The Laplace Transform
5-1
5.1
Definition of the Laplace Transform
5-1
5.2
Properties of the Laplace Transform
5-7
5.3
The Inverse Laplace Transform
5-13
5.4
Solving Differential Equations with Laplace Transforms
5-16
5.5
Discontinuous Functions and Periodic Functions
5-26
5.6
Differential Equations with Discontinuous Forcing Functions
5-31
5.7
Impulse Functions
5-43
5.8
Convolution Integrals and Their Applications
5-52
5.9
Linear Systems and Feedback Control
5-61
Chapter
6.
Systems of First Order Linear Equations
6-1
6.1
Definitions and Examples
6-1
6.2
Basic Theory of First Order Linear Systems
6-5
6.3
Homogeneous Linear Systems with Constant Coefficients
6-7
6.4
Complex Eigenvalues
6-22
6.5
Fundamental Matrices and the Exponential of a Matrix
6-33
6.6
Nonhomogeneous Linear Systems
6-40
6.7
Defective Matrices
6-47
Chapter
7.
Nonlinear Differential Equations and Stability
7-1
7.1
Autonomous Systems and Stability
7-1
7.2
Almost Linear Systems
7-7
7.3
Competing Species
7-23
7.4
Predator-Prey Equations
7-36
7.5
Periodic Solutions and Limit Cycles
7-45
7.6
Chaos and Strange Attractors: The
Lorenz
Equations
7-56 |
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| spelling | Levandosky, Julie Verfasser aut Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce by Julie Levandosky Hoboken, NJ Wiley 2008 Getr. Zählung zahlr. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Erg. zu: Brannan, James R.: Differential equations Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Gewöhnliche Differentialgleichung (DE-588)4020929-5 s DE-604 Brannan, James R. Sonstige oth Boyce, William E. 1930- Sonstige (DE-588)11468409X oth Brannan, James R. aut Differential equations Boyce, William E. 1930- (DE-588)11468409X aut Differential equations Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016424479&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Levandosky, Julie Brannan, James R. Boyce, William E. 1930- Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4143389-0 |
| title | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce |
| title_alt | Differential equations |
| title_auth | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce |
| title_exact_search | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce |
| title_exact_search_txtP | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce |
| title_full | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce by Julie Levandosky |
| title_fullStr | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce by Julie Levandosky |
| title_full_unstemmed | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce by Julie Levandosky |
| title_short | Student solutions manual to accompany "Differential equations: an introduction to modern methods and applications" by James R. Brannan and William E. Boyce |
| title_sort | student solutions manual to accompany differential equations an introduction to modern methods and applications by james r brannan and william e boyce |
| topic | Differential equations Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Differential equations Gewöhnliche Differentialgleichung Aufgabensammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016424479&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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