A BOUNDED SOLUTION TO A LINEAR DIFFERENTIAL EQUATION WITH A TIME-VARYING COEFFICIENT

Abstract

A LINEAR CIRCUIT CONTAINING A TIME VARYING ELEMENT IS ANALYZED. A METHOD IS DEVISED TO BOUND, WITHIN PRESCRIBED LIMITS, THE SOLUTION OF THE FIRST ORDER DIFFERENTIAL EQUATION, THAT THE CIRCUIT CURRENT OBEYS. THE STEADY-STATE SOLUTION OF THE CURRENT IS PIECEWISE GIVEN IN TERMS OF EXPONENTIAL FUNCTIONS OVER INTERVALS SELECTED TO MEET ACCURACY REQUIREMENTS. THE TRANSIENT COMPONENT OF THE CURRENT IS EVALUATED WITHIN THE SAME LIMITS. A FORMULA IS ALSO DERIVED FOR THE STEADY STATE DIRECT CURRENT COMPONENT

Document Details

Document Type
Technical Report
Publication Date
Oct 30, 1960
Accession Number
AD0248954

Entities

People

  • Haim Haskal

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Coefficients
  • Differential Equations
  • Direct Current
  • Equations
  • Exponential Functions
  • Intervals
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Steady State

Readers

  • Approximation Theory.
  • Fluid Dynamics.