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Differential Equations

  • Bernd Luderer
  • Volker Nollau
  • Klaus Vetters

Abstract

Every n-times continuously differentiable function y(x) satisfying the differential equation for all x, axb is called a (special) solution of the differential equation in the interval [a, b]. The set of all solutions of a differential equation or a system of differential equations is said to be the general solution.

Keywords

Differential Equation General Solution Differentiable Function Linear Differential Equation Homogeneous System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Bernd Luderer
    • 1
  • Volker Nollau
    • 2
  • Klaus Vetters
    • 2
  1. 1.Faculty of MathematicsChemnitz University of TechnologyChemnitzGermany
  2. 2.Faculty of Mathematics and Natural ScienceDresden University of TechnologyDresdenGermany

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