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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

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I was wondering if anyone can help me understand the question and answer.

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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