THE ANALOG COMPUTER SOLUTION OF DIFFERENTIAL EQUATIONS OF THE FORM L(D)Y(T)=M(D)U(T).

Abstract

The analog (or digital) computer solution of a linear differential equation of the form L(D)y(t) = M(D)u(t) is invariably obtained by solving an equivalent set of linear first-order differential equations. It is shown in this Report that if the polynomials L(D) and M(D) have a common factor, this equivalent set of first-order equations must be chosen in a particular manner. The initial conditions associated with the equivalent first-order system are intimately related to the given initial conditions on y and its derivatives. The fundamental equation embodying this interrelation is developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0674244

Entities

People

  • L. G. Birta

Organizations

  • National Research Council Canada

Tags

DTIC Thesaurus Topics

  • Analog Computers
  • Computers
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • ballistics.