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Differential equations : Computing and modeling / C. Henry Edwards, David E. Penney ; with assistance of David Calvis.

By: Contributor(s): Publication details: New Jersey : Pearson Prentice Hall, c2008.Edition: 4th editionDescription: xii, 575 p. : ill. (some col.) ; 27 cmISBN:
  • 9780136004387
  • 0136004385
Subject(s): DDC classification:
  • 515.35004 22 EDW
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Item type Current library Call number Copy number Status Date due Barcode
Book Closed Access Book Closed Access Engineering Library 515.35004 EDW. 1 (Browse shelf(Opens below)) 1 Available BUML23080116


CONTENT

Chapter 1 First Order differential equations
1.1 Differential equations and mathematical models
1.2 Integrals as general and particular solutions
1.3 Slope fields and solution curves
1.4 Separable equations and applications
1.5 Linear first-order equations
etc.

Chapter 2 Mathematical models and numerical methods
2.1 Population models
2.2 Equilibrium solutions and stability
2.3 Acceleration velocity
2.4 Numerical approximation: Euler's method
2.5 A closer look at the Euler method
etc.

Chapter 3 Linear equations of higher order
3.1 Introduction: Second order linear equations
3.2 General solutions of linear equations
3.3 Homogeneous equations with constant coefficients
3.4 Mechanical vibrations
3.5 Nonhomogeneous equations and undetermined coefficient
etc.

Chapter 4 Introduction to systems of differential equations
4.1 First-order systems and applications
4.2 The method of elimination
4.3 Numerical methods for systems

Chapter 5 Linear systems of differential equations
5.1 Matrices and linear systems
5.2 The Eigenvalue method for homogeneous systems
5.3 Second order systems and mechanical applications
5.4 Multiple Eigenvalue solutions
5.5 Matrix exponentials and linear systems
etc.

Chapter 6 Nonlinear systems and phenomena
6.1 Stability and the phase plane
6.2 Linear and almost linear systems
6.3 Ecological models: Predators and competitors
6.4 Nonlinear mechanical systems
6.5 Chaos in dynamical systems

Chapter 7 Laplace transform methods
7.1 Laplace transforms and inverse transforms
7.2 Transformation of initial value problems
7.3 Translation and partial fractions
7.4 Derivatives, integrals, and products of transforms
7.5 Periodic and piecewise continuous input functions
7.6 Impulses and delta functions

Index : p. 571 - 575

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