Given the mathematical model of a nonlinear system with x(0) = 1, ¿(0) = 1, is 1 + =+ sin t 1 3 a) Find the operating point b) Derive the linearized model c) Evaluate the convolution t * u(t – a), where u(t) is the unit step input

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 4
Given the mathematical model of a nonlinear system with x(0) = 1, ¿(0) = 1, is
1
* +
1
+ sin t
3
a) Find the operating point
b) Derive the linearized model
c) Evaluate the convolution t * u(t – a), where u(t) is the unit step input
Transcribed Image Text:Question 4 Given the mathematical model of a nonlinear system with x(0) = 1, ¿(0) = 1, is 1 * + 1 + sin t 3 a) Find the operating point b) Derive the linearized model c) Evaluate the convolution t * u(t – a), where u(t) is the unit step input
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