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QI. A real LTIC system with input x(t) and output y(t) is described by the following differential equation: (D³ + 9D)y(t) = (2D3 + 1)x(t) %3D Assuming y(0) = 4, ÿ(0) = –18, and ÿ(0) = 0, determine the system's zero-input response %3D %3D

QI. A real LTIC system with input x(t) and output y(t) is described by the following differential equation: (D³ + 9D)y(t) = (2D3 + 1)x(t) %3D Assuming y(0) = 4, ÿ(0) = –18, and ÿ(0) = 0, determine the system's zero-input response %3D %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1. A real LTIC system with input x(t) and output y(t) is described by the following differential equation: (D³ + 9D)y(t) = (2D³ + 1)x(t) Assuming y(0) = 4, ÿ(0) = -18, and ÿ(0) = 0, determine the system's zero-input response y(1). %3D
Transcribed Image Text:Q1. A real LTIC system with input x(t) and output y(t) is described by the following differential equation: (D³ + 9D)y(t) = (2D³ + 1)x(t) Assuming y(0) = 4, ÿ(0) = -18, and ÿ(0) = 0, determine the system's zero-input response y(1). %3D
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