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The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t) where u(t) = sin (t) and x(0) = 1. input u(t) system Fig. 1 output x(t) Please work out the solution for x(t). (1) Find X₁ (t) for x(t) + 3x(t) = 0. (homogeneous solution)

The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t) where u(t) = sin (t) and x(0) = 1. input u(t) system Fig. 1 output x(t) Please work out the solution for x(t). (1) Find X₁ (t) for x(t) + 3x(t) = 0. (homogeneous solution)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t) where u(t) = sin (t) and x(0) = 1. input u(t) system Fig. 1 output x(t) Please work out the solution for x(t). (1) Find X₁ (t) for x(t) + 3x(t) = 0. (homogeneous solution)
Transcribed Image Text:The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t) where u(t) = sin (t) and x(0) = 1. input u(t) system Fig. 1 output x(t) Please work out the solution for x(t). (1) Find X₁ (t) for x(t) + 3x(t) = 0. (homogeneous solution)
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