1. For the following systems, with u(t) as the input and y(t) as the output, determine whether the system is linear or nonlinear by validating its additivity and homogeneity in detailed steps. (a) y(t)=H(u(t))={u(t); u(t)> 0 0; u(t) < 0 i (b) y(t)=H(u(t))=sin(t)u(t); du(t) (c) y(t)=H(u(t))= dt
1. For the following systems, with u(t) as the input and y(t) as the output, determine whether the system is linear or nonlinear by validating its additivity and homogeneity in detailed steps. (a) y(t)=H(u(t))={u(t); u(t)> 0 0; u(t) < 0 i (b) y(t)=H(u(t))=sin(t)u(t); du(t) (c) y(t)=H(u(t))= dt
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:1. For the following systems, with u(t) as the input and y(t) as the output, determine
whether the system is linear or nonlinear by validating its additivity and
homogeneity in detailed steps.
(a) y(t)=H(u(t))={u(t); u(t)> 0
0; u(t) < 0 i
(b) y(t)=H(u(t))=sin(t)u(t);
du(t)
(c) y(t)=H(u(t))=
dt
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