Answered: 2) A system is given d²y(t) dt² +6…

2) A system is given d²y(t) dt² +6 dy(t) dt + 8y(t) = 2x(t) a) Find the impulse response of the system b) Find the response of the system for x(t) = te-² u(t)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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2) A system is given
d²y(t)
dt²
+6. + 8y(t) = 2x(t)
dy(t)
dt
a) Find the impulse response of the system
b) Find the response of the system for x(t) = te-²tu(t)

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Step 1: Determine impulse response and response of the system for given input x(t):

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Step 2: Apply Laplace transform to given system equation to get s-domain equation:

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Step 3: Find impulse response in s-domain:

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Step 4: Impulse response in time domain:

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Step 5: Find response for x(t):

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Step 6: Find y(t):

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solve showing all the steps
Please explain in detail,
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