3.4 If the steady-state output is said to have been achieved once it is within 1% of the final value, how long does the transient response last when a first-order system with a time constant of 10 s is given a unit step input? Does the numerical value of the numera- tor of the transfer function affect the answer?

3.4 If the steady-state output is said to have been achieved once it is within 1% of the final value, how long does the transient response last when a first-order system with a time constant of 10 s is given a unit step input? Does the numerical value of the numera- tor of the transfer function affect the answer?

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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3.4 If the steady-state output is said to have been achieved once it is within 1% of the
final value, how long does the transient response last when a first-order system with a
time constant of 10 s is given a unit step input? Does the numerical value of the numera-
tor of the transfer function affect the answer?

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