(c) The equation of a motion for a vertical spring-mass system is given by d?x + 3x = e2t dt2 where x(t) is the displacement of mass from its equilibrium position. Use Laplace transforms to find displacement as a function of time if the initial conditions are x(0) = 0 and x' (0) = 2.

(c) The equation of a motion for a vertical spring-mass system is given by d?x + 3x = e2t dt2 where x(t) is the displacement of mass from its equilibrium position. Use Laplace transforms to find displacement as a function of time if the initial conditions are x(0) = 0 and x' (0) = 2.

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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Question

The equation of a motion for a vertical spring-mass system is given by
d?x
(c)
+ 3x = e2t
dt2
where x(t) is the displacement of mass from its equilibrium position. Use Laplace
transforms to find displacement as a function of time if the initial conditions are x(0) = 0
and x' (0) = 2.

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