Solutions for Differential Equations: An Introduction to Modern Methods and Applications
Problem 1P:
Phase Line Diagrams. Problems through involve equation of the form . In each problem, sketch the...Problem 2P:
Phase Line Diagrams. Problems 1 through 7 involve equation of the form dy/dt=f(y). In each problem,...Problem 3P:
Phase Line Diagrams. Problems through involve equation of the form . In each problem, sketch the...Problem 4P:
Phase Line Diagrams. Problems 1 through 7 involve equations of the form dy/dt=f(y). In each problem,...Problem 5P:
Phase Line Diagrams. Problems through involve equations of the form . In each problem, sketch the...Problem 6P:
Phase Line Diagrams. Problems 1 through 7 involve equations of the form dy/dt=f(y). In each problem,...Problem 7P:
Phase Line Diagrams. Problems through involve equations of the form . In each problem, sketch the...Problem 8P:
Problems 8 through 13 involve equations of the form dy/dt=f(y). In each problem, sketch the graph of...Problem 9P:
Problems 8 through 13 involve equations of the form dy/dt=f(y). In each problem, sketch the graph of...Problem 10P:
Problems 8 through 13 involve equations of the form dy/dt=f(y). In each problem, sketch the graph of...Problem 11P:
Problems 8 through 13 involve equations of the form dy/dt=f(y). In each problem, sketch the graph of...Problem 12P:
Problems 8 through 13 involve equations of the form dy/dt=f(y). In each problem, sketch the graph of...Problem 13P:
Problems through involve equations of the form . In each problem, sketch the graph of versus ,...Problem 14P:
Direction Fields. In each of problems 14 through 19 draw a direction field for the given...Problem 15P:
Direction Fields. In each of problems through draw a direction field for the given differential...Problem 16P:
Direction Fields. In each of problems 14 through 19 draw a direction field for the given...Problem 17P:
Direction Fields. In each of problems through draw a direction field for the given differential...Problem 18P:
Direction Fields. In each of problems 14 through 19 draw a direction field for the given...Problem 19P:
Direction Fields. In each of problems through draw a direction field for the given differential...Problem 20P:
In each of problems through draw a direction field for the given differential equation. Based on...Problem 21P:
In each of problems 20 through 23 draw a direction field for the given differential equation. Based...Problem 22P:
In each of problems through draw a direction field for the given differential equation. Based on...Problem 23P:
In each of problems through draw a direction field for the given differential equation. Based on...Problem 24P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 25P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 26P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 27P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 28P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 29P:
Consider the following list of differential equations, some of which produced the direction fields...Problem 31P:
Show that Asint+Bcost=Rsin(t), where R=A2+B2 and is the angle defined by Rcos=A and Rsin=B.Problem 32P:
If in the exponential model for population growth, dy/dt=ry, the constant growth rate r is replaced...Problem 33P:
An equation that is frequently used to model the population growth of cancer cells in a tumor is the...Problem 34P:
In addition to the Gompertz equation (see Problem 33) another equation used to model the growth of...Problem 35P:
A chemical of fixed concentration flows into a continuously stirred tank reactor at a constant...Browse All Chapters of This Textbook
Chapter 1.1 - Mathematical Models And SolutionsChapter 1.2 - Qualitative Methods: Phase Lines And Direction FieldsChapter 1.3 - Definitions, Classification, And TerminologyChapter 2.1 - Separable EquationsChapter 2.2 - Linear Equations: Method Of Integrating FactorsChapter 2.3 - Modeling With First Order EquationsChapter 2.4 - Differences Between Linear And Nonlinear EquationsChapter 2.5 - Autonomous Equations And Population DynamicsChapter 2.6 - Exact Equations And Integrating FactorsChapter 2.7 - Substitution Methods
Chapter 2.P1 - Harvesting A Renewable ResourceChapter 2.P2 - A Mathematical Model Of A Groundwater Contaminant SourceChapter 2.P3 - Monte Carlo Option Pricing: Pricing Financial Options By Flipping A CoinChapter 3.1 - Systems Of Two Linear Algebraic EquationsChapter 3.2 - Systems Of Two First Order Linear Differential EquationsChapter 3.3 - Homogeneous Linear Systems With Constant CoefficientsChapter 3.4 - Complex EigenvaluesChapter 3.5 - Repeated EigenvaluesChapter 3.6 - A Brief Introduction To Nonlinear SystemsChapter 3.P1 - Estimating Rate Constants For An Open Two-compartment ModelChapter 3.P2 - A Blood–brain Pharmacokinetic ModelChapter 4.1 - Definitions And ExamplesChapter 4.2 - Theory Of Second Order Linear Homogeneous EquationsChapter 4.3 - Linear Homogeneous Equations With Constant CoefficientsChapter 4.4 - Mechanical And Electrical VibrationsChapter 4.5 - Nonhomogeneous Equations; Method Of Undetermined CoefficientsChapter 4.6 - Forced Vibrations, Frequency Response, And ResonanceChapter 4.7 - Variation Of ParametersChapter 4.P1 - A Vibration Insulation ProblemChapter 4.P2 - Linearization Of A Nonlinear Mechanical SystemChapter 4.P3 - A Spring-mass Event ProblemChapter 4.P4 - Euler–lagrange EquationsChapter 5.1 - Definition Of The Laplace TransformChapter 5.2 - Properties Of The Laplace TransformChapter 5.3 - The Inverse Laplace TransformChapter 5.4 - Solving Differential Equations With Laplace TransformsChapter 5.5 - Discontinuous Functions And Periodic FunctionsChapter 5.6 - Differential Equations With Discontinuous Forcing FunctionsChapter 5.7 - Impulse FunctionsChapter 5.8 - Convolution Integrals And Their ApplicationsChapter 5.9 - Linear Systems And Feedback ControlChapter 5.P1 - An Electric Circuit ProblemChapter 5.P2 - The Watt Governor, Feedback Control, And StabilityChapter 6.1 - Definitions And ExamplesChapter 6.2 - Basic Theory Of First Order Linear SystemsChapter 6.3 - Homogeneous Linear Systems With Constant CoefficientsChapter 6.4 - Nondefective Matrices With Complex EigenvaluesChapter 6.5 - Fundamental Matrices And The Exponential Of A MatrixChapter 6.6 - Nonhomogeneous Linear SystemsChapter 6.7 - Defective MatricesChapter 6.P1 - Earthquakes And Tall BuildingsChapter 6.P2 - Controlling A Spring-mass System To EquilibriumChapter 7.1 - Autonomous Systems And StabilityChapter 7.2 - Almost Linear SystemsChapter 7.3 - Competing SpeciesChapter 7.4 - Predator–prey EquationsChapter 7.5 - Periodic Solutions And Limit CyclesChapter 7.6 - Chaos And Strange Attractors: The Lorenz EquationsChapter 7.P1 - Modeling Of EpidemicsChapter 7.P2 - Harvesting In A Competitive EnvironmentChapter 7.P3 - The R ̈ossler SystemChapter 8.1 - Numerical Approximations: Euler’s MethodChapter 8.2 - Accuracy Of Numerical MethodsChapter 8.3 - Improved Euler And Runge–kutta MethodsChapter 8.4 - Numerical Methods For Systems Of First Order EquationsChapter 8.P1 - Designing A Drip Dispenser For A Hydrology ExperimentChapter 8.P2 - Monte Carlo Option Pricing: Pricing Financial Options By Flipping A CoinChapter A.1 - MatricesChapter A.2 - Systems Of Linear Algebraic Equations, Linear Independence, And RankChapter A.3 - Determinants And InversesChapter A.4 - The Eigenvalue Problem
Book Details
The modern landscape of technology and industry demands an equally modern approach to differential equations in the classroom. Designed for a first course in differential equations, the third edition of Brannan/Boyce’s Differential Equations: An Introduction to Modern Methods and Applications is consistent with the way engineers and scientists use mathematics in their daily work. The text emphasizes a systems approach to the subject and integrates the use of modern computing technology in the context of contemporary applications from engineering and science. The focus on fundamental skills, careful application of technology, and practice in modeling complex systems prepares students for the realities of the new millennium, providing the building blocks to be successful problem-solvers in today’s workplace. Section exercises throughout the text provide hands-on experience in modeling, analysis, and computer experimentation. Projects at the end of each chapter provide additional opportunities for students to explore the role played by differential equations in the sciences and engineering.
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More Editions of This Book
Corresponding editions of this textbook are also available below:
Differential Equations: An Introduction to Modern Methods and Applications - 2nd Edition
2nd Edition
ISBN: 9780470458242
Differential Equations With Boundary Value Problems: Modern Methods And Applications
2nd Edition
ISBN: 9780470902141
Differential Equations With Boundary Value Problems: An Introduction To Modern Methods And Applications
1st Edition
ISBN: 9780470418505
Differential Equations: An Introduction To Modern Methods And Applications
1st Edition
ISBN: 9780471651413
Differential Equations, Student Solutions Manual: An Introduction To Modern Methods And Applications
1st Edition
ISBN: 9780470125533
Differential Equations: An Introduction To Modern Methods And Applications Wileyplus Set
7th Edition
ISBN: 9780470132036
Differential Equations: An Introduction To Modern Methods And Applications 1st Edition With Wiley Plus Webct Powerpack Set
1st Edition
ISBN: 9780470136188
DIFFERENTIAL EQUATIONS-WILEYPLUS
3rd Edition
ISBN: 9781118981276
DIFFERENTIAL EQUATIONS (LL)-W/2 ACCESS
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ISBN: 9781119426271
Differential Equations, Binder Ready Version: An Introduction To Modern Methods And Applications
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ISBN: 9781118981221
DIFF EQUA--EBOOK+WILEY PLUS (CODE ONLY
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DIFFERENTIAL EQUATIONS W/WILEYPLUS
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DIFFERENTIAL EQUATIONS-NEXTGEN WILEYPLUS
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EBK DIFFERENTIAL EQUATIONS
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ISBN: 9781119042686
Differential Equations: An Introduction To Modern Methods And Applications 3e Binder Ready Version + Wileyplus Registration Card
3rd Edition
ISBN: 9781119031871
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