Chapter 7. Ordinary Differential Equations

  1. Prof. Dr. Charlie Harper

Published Online: 28 JAN 2005

DOI: 10.1002/3527603077.ch7

Analytic Methods in Physics

Analytic Methods in Physics

How to Cite

Harper, C. (1999) Ordinary Differential Equations, in Analytic Methods in Physics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603077.ch7

Author Information

  1. California State University, Hayward, USA

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 12 OCT 1999

ISBN Information

Print ISBN: 9783527402168

Online ISBN: 9783527603077

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Keywords:

  • ordinary differential equations;
  • first-order linear differential equations;
  • separable differential equations;
  • exact differential equations;
  • second-order linear differential equations;
  • homogeneous differential equations;
  • nonhomogeneous differential equations;
  • numerical methods

Summary

This chapter contains sections titled:

  • Introduction

  • First-Order Linear Differential Equations

    • Separable Differential Equations

    • Exact Differential Equations

    • Solution of the General Linear Differential Equation

  • The Bernoulli Differential Equation

  • Second-Order Linear Differential Equations

    • Homogeneous Differential Equations with Constant Coefficients

    • Nonhomogeneous Differential Equations with Constant Coefficients

    • Homogeneous Differential Equations with Variable Coefficients

    • Nonhomogeneous Differential Equations with Variable Coefficients

  • Some Numerical Methods

    • The Improved Euler Method for First-Order Differential Equations

    • The Runge-Kutta Method for First-Order Differential Equations

    • Second-Order Differential Equations

  • Problems