## Solutions for Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis

# Browse All Chapters of This Textbook

Chapter 1 - First-order Differential EquationsChapter 1.1 - Differential Equations And Mathematical ModelsChapter 1.2 - Integrals As General And Particular SolutionsChapter 1.3 - Slope Fields And Solution CurvesChapter 1.4 - Separable Equations And ApplicationsChapter 1.5 - Linear First-order EquationsChapter 1.6 - Substitution Methods And Exact EquationsChapter 2.1 - Population ModelsChapter 2.2 - Equilibrium Solutions And StabilityChapter 2.3 - Acceleration–velocity Models

Chapter 2.4 - Numerical Approximation: Euler’s MethodChapter 2.5 - A Closer Look At The Euler MethodChapter 2.6 - The Runge–kutta MethodChapter 3.1 - Introduction: Second-order Linear EquationsChapter 3.2 - General Solutions Of Linear EquationsChapter 3.3 - Homogeneous Equations With Constant CoefficientsChapter 3.4 - Mechanical VibrationsChapter 3.5 - Nonhomogeneous Equations And Undetermined CoefficientsChapter 3.6 - Forced Oscillations And ResonanceChapter 3.7 - Electrical CircuitsChapter 3.8 - Endpoint Problems And EigenvaluesChapter 4.1 - First-order Systems And ApplicationsChapter 4.2 - The Method Of EliminationChapter 4.3 - Numerical Methods For SystemsChapter 5.1 - Matrices And Linear SystemsChapter 5.2 - The Eigenvalue Method For Homogeneous SystemsChapter 5.3 - A Gallery Of Solution Curves Of Linear SystemsChapter 5.4 - Second-order Systems And Mechanical ApplicationsChapter 5.5 - Multiple Eigenvalue SolutionsChapter 5.6 - Matrix Exponentials And Linear SystemsChapter 5.7 - Nonhomogeneous Linear SystemsChapter 6.1 - Stability And The Phase PlaneChapter 6.2 - Linear And Almost Linear SystemsChapter 6.3 - Ecological Models: Predators And CompetitorsChapter 6.4 - Nonlinear Mechanical SystemsChapter 7.1 - Laplace Transforms And Inverse TransformsChapter 7.2 - Transformation Of Initial Value ProblemsChapter 7.3 - Translation And Partial FractionsChapter 7.4 - Derivatives, Integrals, And Products Of TransformsChapter 7.5 - Periodic And Piecewise Continuous Input FunctionsChapter 7.6 - Impulses And Delta FunctionsChapter A.5 - Well-posed Problems And Mathematical Models

### Book Details

This text provides the conceptual development and geometric visualization of a modern differential equations course that is still essential to science and engineering students. It reflects the new emphases that permeate the learning of elementary differential equations, including the wide availability of scientific computing environments like Maple, Mathematica, and MATLAB; its focus has shifted from the traditional manual methods to new computer-based methods that illuminate qualitative phenomena and make accessible a wider range of more realistic applications.

# Sample Solutions for this Textbook

We offer sample solutions for Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis homework problems. See examples below:

Given information: The differential equation is x3+3y−xy′=0 . Explanation: The given differential...Given information: The logistic equation is dPdt=aP−bP2 . Here, P(t) is a rabbit population, B=aP is...Given information: In the interval of [0,0.5] the function have 2 subintervals as h=0.25 . The...Chapter 3.1, Problem 1PGiven information: The second order differential equation is, y″+λy=0 The value of first order...Given information: The differential equation is x″+3x′+7x=t2 . Explanation: Thedifferential equation...Given information: The differential problem is x′=x+2y,x(0)=0 and y′=2x+y,y(0)=2 . The exact...Chapter 5.1, Problem 1PGiven information: The system of differential equation is x′=x+2y+3 and y′=2x+y−2 . Explanation:...

# More Editions of This Book

Corresponding editions of this textbook are also available below:

DIFF.EQUATIONS:COMPUTING+MODEL.-W/SOLNS

4th Edition

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