Accession Number : AD0248954

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

Corporate Author : CASE INST OF TECH CLEVELAND OH

Personal Author(s) : HASKAL, HAIM

Report Date : 30 OCT 1960

Pagination or Media Count : 1

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

Descriptors :   *DIFFERENTIAL EQUATIONS, *ELECTRICAL NETWORKS, CIRCUITS, DIFFERENCE EQUATIONS, MATHEMATICAL ANALYSIS.

Distribution Statement : APPROVED FOR PUBLIC RELEASE