Fundamentals of Differential Equations

Front Cover
Pearson Addison Wesley, 2004 - Mathematics - 709 pages

Fundamentals of Differential Equations, Sixth Edition is designed for a one-semester sophomore or junior-level course. Fundamentals of Differential Equations and Boundary Value Problems, Fourth Edition, contains enough material for a two-semester course that covers and builds on boundary-value problems. These tried-and-true texts help students understand the methods and concepts they will need to successfully complete engineering courses. The new texts retain the features that have made previous editions successful, while integrating recent advances in teaching and learning.

The Fundamentals of Differential Equations and 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).

From inside the book

 

67 pages matching polynomial in this book

Where's the rest of this book?

Results 1-3 of 67

Contents

Magnetic Dipole
33
MATHEMATICAL MODELS
87
Group Projects for Chapter 3
144
Copyright

11 other sections not shown

Other editions - View all

Fundamentals of Differential Equations
R. Kent Nagle,E. B. Saff,Arthur David Snider
No preview available - 2004

Common terms and phrases

a₁ a²u approximate the solution auxiliary equation c₁ c₁e c₂ Cauchy-Euler equation Chapter compute constant coefficients convergence curve damping derivatives determine differential equation direction field dx² dy dx dy/dx eigenvalues eigenvectors equa Euler's method EXAMPLE Exercises exponential Figure first-order formula Fourier series function fundamental solution set given graph Hence homogeneous equation indicial equation initial conditions initial value problem integral interval 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 map polynomials power series r₁ regular singular point roots Runge-Kutta satisfies Section separation of variables series expansion Show singular point solve Substituting tank temperature Theorem tion trajectories u₁ undetermined coefficients variables vector velocity Wronskian x₁ x²y y₁ zero ди дх

Bibliographic information

TitleFundamentals of Differential Equations
Nagle/Saff/Snider Series
AuthorsR. Kent Nagle, E. B. Saff, Arthur David Snider
Edition6, illustrated
PublisherPearson Addison Wesley, 2004
Original fromthe University of California
DigitizedApr 7, 2011
ISBN0321145720, 9780321145727
Length709 pages
Subjects ›  › 

Mathematics / Advanced
Mathematics / Differential Equations / General
Mathematics / General
  
Export CitationBiBTeX EndNote RefMan