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A linear time-invariant continuous-time system responds to the following inputs with the corresponding outputs: If x(t) = u(t), then y(t) = 2(1 − e¯¹) u(t) and if x(t): = cos t, then 1.414 cos(t - π/4). Find y(t) for the following inputs (Hint: Use Problem 1.23 for part (d)): y(t) = (a) x(t) = 2u(t) — 2u(t − 1) (b) x(t) = 4 cos(2(t - 2)) (c) x(t) = 5u(t) + 10 cos(2t)

A linear time-invariant continuous-time system responds to the following inputs with the corresponding outputs: If x(t) = u(t), then y(t) = 2(1 − e¯¹) u(t) and if x(t): = cos t, then 1.414 cos(t - π/4). Find y(t) for the following inputs (Hint: Use Problem 1.23 for part (d)): y(t) = (a) x(t) = 2u(t) — 2u(t − 1) (b) x(t) = 4 cos(2(t - 2)) (c) x(t) = 5u(t) + 10 cos(2t)

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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A linear time-invariant continuous-time system responds to the following inputs with the corresponding outputs: If x(t) = u(t), then y(t) = 2(1 − e¯¹) u(t) and if x(t) = cos t, then 1.414 cos(t π/4). Find y(t) for the following inputs (Hint: Use Problem 1.23 for part (d)): y(t) = (a) x(t) = 2u(t) — 2u(t − 1) (b) x(t) = 4 cos(2(t - 2)) (c) x(t) = 5u(t) + 10 cos(2t)
Transcribed Image Text:A linear time-invariant continuous-time system responds to the following inputs with the corresponding outputs: If x(t) = u(t), then y(t) = 2(1 − e¯¹) u(t) and if x(t) = cos t, then 1.414 cos(t π/4). Find y(t) for the following inputs (Hint: Use Problem 1.23 for part (d)): y(t) = (a) x(t) = 2u(t) — 2u(t − 1) (b) x(t) = 4 cos(2(t - 2)) (c) x(t) = 5u(t) + 10 cos(2t)
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