3. Find a state variable model (A, B, C, and D matrices) for the following differential equations. (Assume zero initial conditions and output = x(t)) a. * + 5x + 7x = 10f (t) b. * – * + 5x = f(t) c. 8* + 5* + 6x = f(t)

3. Find a state variable model (A, B, C, and D matrices) for the following differential equations. (Assume zero initial conditions and output = x(t)) a. * + 5x + 7x = 10f (t) b. * – * + 5x = f(t) c. 8* + 5* + 6x = f(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

**Problem 3: State Variable Model**

Find a state variable model (A, B, C, and D matrices) for the following differential equations. (Assume zero initial conditions and output = \( x(t) \))

a. \( \ddot{x} + 5\dot{x} + 7x = 10f(t) \)

b. \( \ddot{x} - \dot{x} + 5x = f(t) \)

c. \( 8\ddot{x} + 5\dot{x} + 6x = f(t) \)

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