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A system is modeled by an ODE dx1) dr dx(1) +3 di +2x(1) = u(1) Where x(1) is the output and u(t) is the input. a) Compute the Laplace Transform of the system and its Transfer Function G(s) = 6) u(s) b) If u(1) = 21 compute the time function representing the output x(1) c) If the input is now a unit step, compute the final value and initial values of the output x(t).

A system is modeled by an ODE dx1) dr dx(1) +3 di +2x(1) = u(1) Where x(1) is the output and u(t) is the input. a) Compute the Laplace Transform of the system and its Transfer Function G(s) = 6) u(s) b) If u(1) = 21 compute the time function representing the output x(1) c) If the input is now a unit step, compute the final value and initial values of the output x(t).

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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A system is modeled by an ODE d'x). di dx(1) +3 +2x(1) = u(t) Where x(t) is the output and di u(t) is the input. a) Compute the Laplace Transform of the system and its Transfer Function G(s): x(s) u(s) b) If u(t) = 21 compute the time function representing the output x(t) c) If the input is now a unit step, compute the final value and initial values of the output x(1).
Transcribed Image Text:A system is modeled by an ODE d'x). di dx(1) +3 +2x(1) = u(t) Where x(t) is the output and di u(t) is the input. a) Compute the Laplace Transform of the system and its Transfer Function G(s): x(s) u(s) b) If u(t) = 21 compute the time function representing the output x(t) c) If the input is now a unit step, compute the final value and initial values of the output x(1).
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