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Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 18EQ

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A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the equilibrium position, and the resulting motion takes
7
times the instantaneous velocity. Use the Laplace transform to find the equation of
8
place in a medium offering a damping force numerically equal to
motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.)
x(t) =

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A 4-pound weight stretches a spring 2 feet. The weight is released from rest 12 inches above the equilibrium position, and the resulting motion takes 7 place in a medium offering a damping force numerically equal to times the instantaneous velocity. Use the Laplace transform to find the equation of 8 motion x(t). (Use g = 32 ft/s² for the acceleration due to gravity.) x(t) =
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