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

by: Blanchard, Paul; Devaney, Robert L.; Hall, Glen R.

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

by: Blanchard, Paul; Devaney, Robert L.; Hall, Glen R.

ISBN 13:
9780495014614
ISBN 10:
0495014613
Edition: 3rd
Format: Paperback
Copyright: 03/17/2006
Publisher: Brooks Cole
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Summary

Written by the authors, the Student Solutions Manual contains worked solutions to all of the odd-numbered exercises in the text.

First-Order Differential Equations

(62)

Modeling via Differential Equations

(3)

Analytic Technique: Separation of Variables

(10)

Qualitative Technique: Slope Fields

(3)

Numerical Technique: Euler's Method

(3)

Existence and Uniqueness of Solutions

(5)

Equilibria and the Phase Line

(5)

Bifurcations

(6)

Linear Equations

(8)

Integrating Factors for Linear Equations

(18)

Review Exercises

(9)

First-Order Systems

(22)

Modeling via Systems

(2)

The Geometry of Systems

(6)

Analytic Methods for Special Systems

(5)

Euler's Method for Systems

(3)

The Lorenz Equations

(5)

Review Exercises

(4)

Linear Systems

(74)

Properties of Linear Systems and The Linearity Principle

(6)

Straight-Line Solutions

(11)

Phase Planes for Linear Systems with Real Eigenvalues

103

(11)

Complex Eigenvalues

114

(7)

Special Cases: Repeated and Zero Eigenvalues

121

(9)

Second-Order Linear Equations

130

(10)

The Trace-Determinant Plane

140

(4)

Linear Systems in Three Dimensions

144

(15)

Review Exercises

152

(7)

Forcing and Resonance

159

(36)

Forced Harmonic Oscillators

160

(13)

Sinusoidal Forcing

173

(7)

Undamped Forcing and Resonance

180

(6)

Amplitude and Phase of the Steady State

186

(2)

The Tacoma Narrows Bridge

188

(7)

Review Exercises

189

(6)

Nonlinear Systems

195

(44)

Equilibrium Point Analysis

196

(13)

Qualitative Analysis

209

(6)

Hamiltonian Systems

215

(4)

Dissipative Systems

219

(7)

Nonlinear Systems in Three Dimensions

226

(2)

Periodic Forcing of Nonlinear Systems and Chaos

228

(11)

Review Exercises

230

(9)

Laplace Transforms

239

(40)

Laplace Transforms

240

(8)

Discontinuous Functions

248

(6)

Second-Order Equations

254

(10)

Delta Functions and Impulse Forcing

264

(2)

Convolutions

266

(4)

The Qualitative Theory of Laplace Transforms

270

(9)

Review Exercises

271

(8)

Numerical Methods

279

(20)

Numerical Error in Euler's Method

280

(10)

Improving Euler's Method

290

(4)

The Runge-Kutta Method

294

(2)

The Effects of Finite Arithmetic

296

(3)

Review Exercises

296

(3)

Discrete Dynamical Systems

299

(12)

The Discrete Logistic Equation

300

(2)

Fixed Points and Periodic Points

302

(3)

Bifurcations

305

(2)

Chaos

307

(4)

Review Exercises

308

(3)

Appendices

311

(11)

A Changing Variables

312

(10)

B The Ultimate Guess

322

Amazon no longer offers textbook rentals. We do!

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

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

9780495014614

0495014613

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

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

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

9780495014614

0495014613

Summary

Table of Contents

Supplemental Materials

Write a Review

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