The Exact Solution of Homogeneous Linear Differential Equations,

Abstract

The more familiar soluble linear differential equations are reviewed and a class of nth order differential equations with time varying coefficients is shown to be soluble by a conceptually simple transformation. This transformation is shown to be applicable in theory, if not in practice, to a class of systems - designated as uncoupled equations - which is recognizeable as a class only after transformation. In addition to this more general class of differential equations, a special class or subclass of second order linear differential equations is shown to be soluble by a different transformation and the physical implications of this transformation are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1970
Accession Number
AD0716616

Entities

People

  • A. R. Ratcliffe
  • C. T. Leondes

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Cooperation
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Real Variables

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Linear Algebra