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(1) Find X₁ (t) for x(t) + 3x(t) = 0. (homogeneous solution)

(1) Find X₁ (t) for x(t) + 3x(t) = 0. (homogeneous solution)

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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Find the 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)
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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