## Solutions for Differential Equations

Problem 1E:

In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified. 1....Problem 2E:

In Exercises 1 and 2, find the equilibrium solutions of the differential equation specified. 2....Problem 3E:

Consider the population model dPdt=0.4P(1P230) where P(t) is the population at time t. (a) For what...Problem 4E:

Consider the population model dPdt=0.3(1P200)(P501)P where P(t) is the population at time t. (a)...Problem 5E:

Consider the differential equation dydt=y3y212y (a) For what values of y is y(t) in equilibrium?...Problem 6E:

In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 7E:

In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 8E:

In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 9E:

In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 10E:

In Exercises 6—10, we consider the phenomenon of radioactive decay which, from experimentation, we...Problem 11E:

MacQuarie Island is a small island about half-way between Antarctica and New Zealand. Between 2000...Problem 12E:

The velocity u of a freefalling skydiver is well modeled by the differential equation mdvdt=mgkv2...Problem 13E:

Exercises 13—15 consider an elementary model of the learning process: Although human learning is an...Problem 14E:

Exercises 13—15 consider an elementary model of the learning process: Although human learning is an...Problem 15E:

Exercises 13—15 consider an elementary model of the learning process: Although human learning is an...Problem 16E:

The expenditure on education in the U.S. is given in the following table. (Amounts are expressed in...Problem 17E:

Suppose a species of fish in a particular lake has a population that is modeled by the logistic...Problem 18E:

Suppose that the growth-rate parameter k = 0.3 and the carrying capacity N = 2500 in the logistic...Problem 19E:

The rhinoceros is now extremely rare. Suppose enough game preserve land is set aside so that there...Problem 20E:

While it is difficult to imagine a time before cell phones, such a time did exist. The table below...Problem 21E:

For the following predator-prey systems, identify which dependent variable,x or y, is the prey...# Browse All Chapters of This Textbook

Chapter 1 - First-order Differential EquationsChapter 1.1 - Modeling Via Differential EquationsChapter 1.2 - Analytic Technique: Separation Of VariablesChapter 1.3 - Qualitative Technique: Slope FieldsChapter 1.4 - Numerical Technique: Euler’s MethodChapter 1.5 - Existence And Uniqueness Of SolutionsChapter 1.6 - Equilibria And The Phase LineChapter 1.7 - BifurcationsChapter 1.8 - Linear EquationsChapter 1.9 - Integrating Factors For Linear Equations

Chapter 2 - First-order SystemsChapter 2.1 - Modeling Via SystemsChapter 2.2 - The Geometry Of SystemsChapter 2.3 - The Damped Harmonic OscillatorChapter 2.4 - Additional Analytic Methods For Special SystemsChapter 2.5 - Euler’s Method For SystemsChapter 2.6 - Existence And Uniqueness For SystemsChapter 2.7 - The Sir Model Of An EpidemicChapter 2.8 - The Lorenz EquationsChapter 3.1 - Properties Of Linear Systems And The Linearity PrincipleChapter 3.2 - Straight-line SolutionsChapter 3.3 - Phase Portraits For Linear Systems With Real EigenvaluesChapter 3.4 - Complex EigenvaluesChapter 3.5 - Special Cases: Repeated And Zero EigenvaluesChapter 3.6 - Second-order Linear EquationsChapter 3.7 - The Trace-determinant PlaneChapter 4.1 - Forced Harmonic OscillatorsChapter 4.2 - Sinusoidal ForcingChapter 5.1 - Equilibrium Point AnalysisChapter 5.3 - Hamiltonian SystemsChapter 6.1 - Laplace TransformsChapter 6.2 - Discontinuous FunctionsChapter 6.3 - Second-order EquationsChapter 6.5 - Convolutions

### Book Details

The authors stress a more balanced approach, one that includes analytic, numeric, and graphical techniques. The book emphasizes modeling and qualitative theory throughout the course. It employs technology significantly and consistently, presents linear and nonlinear systems in parallel, and includes an introduction to discrete dynamical systems. This text grew out of the Boston University Differential Equations Project, funded in part by the National Science Foundation.

# Sample Solutions for this Textbook

We offer sample solutions for Differential Equations homework problems. See examples below:

# More Editions of This Book

Corresponding editions of this textbook are also available below:

DIFFERENTIAL EQUATIONS-W/ACCESS

4th Edition

ISBN: 9781337688789

Differential Equations

4th Edition

ISBN: 9780495826729

EBK DIFFERENTIAL EQUATIONS

4th Edition

ISBN: 9780100444140

EBK DIFFERENTIAL EQUATIONS

4th Edition

ISBN: 8220100444142

DIFFERENTIAL EQUATIONS-ACCESS

4th Edition

ISBN: 9781133109044

Differential Equations

4th Edition

ISBN: 9781133388081

Differential Equations Chapter 1-6 W/ Student Solutions Manual + De Tools Cd-rom

4th Edition

ISBN: 9781133234364

Epin Differential Equ 4e

4th Edition

ISBN: 9780495562009

DIFFERENTIAL EQUATIONS-W/STUD.SOLN+CODE

4th Edition

ISBN: 9781111652210

Differential Equations (with DE Tools Printed Access Card)

4th Edition

ISBN: 9781133109037

Differential Equations

4th Edition

ISBN: 9781133383093

Differential Equatations with Boundary Value Problems

3rd Edition

ISBN: 9780495012658

Student Solutions Manual for Blanchard/Devaney/Hall's Differential Equations, 3rd

3rd Edition

ISBN: 9780495014614

DIFFERENTIAL EQUATION ISM 2E

2nd Edition

ISBN: 9780534385156

Differential Equations (with CD-ROM)

2nd Edition

ISBN: 9780534385149

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