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So-called analog computers use circuits to solve mathematical problems, particularly when they involve differential equations. Suppose we are given the following differential equation to solve. dy(t) dt + ay(t) = x(t) In this equation, a is a constant. 1. When the input is a unit step the output is given by (x(t)=u(t)) What is the total energy expended by the input? y(t) = (1-e-(at))u(t)

So-called analog computers use circuits to solve mathematical problems, particularly when they involve differential equations. Suppose we are given the following differential equation to solve. dy(t) dt + ay(t) = x(t) In this equation, a is a constant. 1. When the input is a unit step the output is given by (x(t)=u(t)) What is the total energy expended by the input? y(t) = (1-e-(at))u(t)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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So-called analog computers use circuits to solve mathematical problems, particularly when they involve differential equations. Suppose we are given the following differential equation to solve. dy(t) dt + ay(t) = x(t) In this equation, a is a constant. 1. When the input is a unit step the output is given by (x(t)=u(t)) What is the total energy expended by the input? y(t) = (1-e-(at))u(t)
Transcribed Image Text:So-called analog computers use circuits to solve mathematical problems, particularly when they involve differential equations. Suppose we are given the following differential equation to solve. dy(t) dt + ay(t) = x(t) In this equation, a is a constant. 1. When the input is a unit step the output is given by (x(t)=u(t)) What is the total energy expended by the input? y(t) = (1-e-(at))u(t)
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