Fundamentals of Differential Equations

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Pearson/Addison-Wesley, 2008 - CD-ROMs - 686 pages

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software.


Fundamentals of Differential Equations, Seventh Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems, Fifth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory).

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Contents

Introduction
1
FirstOrder Differential Equations
37
Mathematical Models and Numerical Methods Involving
93
Copyright

10 other sections not shown

Other editions - View all

Fundamentals of Differential Equations
R. Kent Nagle,E. B. Saff,Arthur David Snider
No preview available - 2007
Fundamentals of Differential Equations
R. Kent Nagle,Edward B. Saff,Arthur David Snider
No preview available - 2008
Fundamentals of Differential Equations
R. Kent Nagle,E. B. Saff,Arthur David Snider
No preview available - 2008

Common terms and phrases

a₁ a˛u approximate the solution auxiliary equation c₁ c₁e c₂ Cauchy-Euler equation Chapter compute constant coefficients convergence curve damping derivatives determine differential equation direction field dx˛ dy dx dy/dx eigenvalues eigenvectors equilibrium Euler's method Example Exercises exponential expressed Figure first-order force formula Fourier series function given graph Hence homogeneous equation indicial equation initial conditions initial value problem integral interval k₁ L/min Laplace transform linear equations linearly independent linearly independent solutions mass mass-spring system matrix motion nonhomogeneous obtain oscillator particular solution phase plane piecewise continuous Poincaré Poincaré map polynomial power series r₁ regular singular point roots Runge-Kutta satisfies second-order Section separation of variables series expansion Show singular point solve Substituting tank temperature Theorem tion trajectories undetermined coefficients variables vector velocity Wronskian x₁ x˛y y₁ zero ди

Bibliographic information

TitleFundamentals of Differential Equations
AuthorsR. Kent Nagle, E. B. Saff, Arthur David Snider
Edition7
PublisherPearson/Addison-Wesley, 2008
Original fromthe University of California
DigitizedFeb 19, 2010
ISBN0321410483, 9780321410481
Length686 pages
  
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