Factoring Out Friction: The damped oscillator equation (2) can be solved by a change of variable that

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Factoring Out Friction: The damped oscillator equation (2) can be solved by a change of variable that "factors out the damping" Specifically, let x(r) = e-(b/2m)t X(t).
(a) Show that X(r) satisfies

(b) Assuming that k - b2/4m > 0, solve equation for X(t); then show that the solution of equation (2) is

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:05 AM

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Factoring Out Friction: The damped oscillator equation (2) can be solved by a change of variable that

Question:

k62 where ao = Amk-b2/2m.

Step by Step Answer:

Factoring Out Friction a Letting xt e b2mt X t we have Substituting this i...View the full answer

Differential Equations and Linear Algebra

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