Introductory Differential Equations

Portada
Academic Press, 16 d’abr. 2018 - 520 pàgines

Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), but is also ideal for a second course in Fourier series and boundary value problems, and for students with no background on the subject. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.

  • Gives students a complete foundation on the subject, providing a strong basis for learning how to read technical material in more advanced texts
  • Includes new, comprehensive exercise sets throughout, ranging from straightforward to challenging
  • Offers applications and extended projects relevant to the real-world through the use of examples in a broad range of contexts
 

Pàgines seleccionades

Continguts

1 Introduction to Differential Equations
1
2 First Order Ordinary Differential Equations
25
3 Applications of First Order Differential Equations
93
4 Higher Order Equations
135
5 Applications of Higher Order Differential Equations
229
6 Systems of Differential Equations
277
7 Applications of Systems of Ordinary Differential Equations
365
8 Introduction to the Laplace Transform
399
Answers to Selected Exercises
461
Bibliography
501
Index
503
Back Cover
509
Copyright

Altres edicions - Mostra-ho tot

Introductory Differential Equations
Martha L. Abell,James P. Braselton
Previsualització no disponible - 2018

Frases i termes més freqüents

approximate assume Cauchy-Euler equation characteristic equation computer algebra system Consider corresponding homogeneous equation cos(t cos2t cos3t cos4t cost curves damping determine direction field displacement dx/dt dy dt dy/dt dy/dx eigenline eigenvalues eigenvectors equa equilibrium point Example Exercises ferential equation FIGURE ft/s func fundamental set given Graph the solution initial conditions initial value prob initial value problem initial velocity integral interval L-R-C circuit Laplace transform linearly independent linearly independent solutions lution matrix maximum method motion nonhomogeneous equation obtain order equation ordinary differential equation particular solution phase plane population position Runge-Kutta method satisfies set of solutions Show sin2t sin3t sint solu solve the initial spring constant spring-mass system substitution Suppose tank temperature Theorem tial equation tion undetermined coefficients variable vector Wronskian yields zero

Sobre l'autor (2018)

Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.

Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.

Informació bibliogràfica

TítolIntroductory Differential Equations
AutorsMartha L. Abell, James P. Braselton
Edició5
EditorAcademic Press, 2018
ISBN0128149493, 9780128149492
Nre. de pàgines520 pàgines
  
Exporta citacionsBiBTeX EndNote RefMan