Compare the result obtained in part (b) of Problem 39 with the solution obtained using variation of parameters when the external force is F 0 cos t Problem 39 (a) Show that the solution of the initial value problem (b) Evaluate d x w x F, cos yt, x(0) 0, x'(0) 0 dr 3D Fo (cos yt cos wt) w y is x(t)...

In part b of Problem 39 we evaluated the limit of the solution obtained in part a as gamma approaches infinity Now we will compare that result with th ...

Compare the result obtained in part (b) of Problem 39 with the solution obtained using variation of

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Compare the result obtained in part (b) of Problem 39 with the solution obtained using variation of parameters when the external force is F₀ cos ωt.

Problem 39

(a) Show that the solution of the initial-value problem

d?x + w?x = F, cos yt, x(0) = 0, x'(0) = 0 dr? %3D Fo (cos yt - cos wt). w? - y? is x(t)

(b) Evaluate

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

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(a) Show that the solution of the initial-value problem (b) Evaluate d?x + w?x = F, cos yt, x(0) = 0, x'(0) = 0 dr? %3D Fo (cos yt - cos wt). w? - y? is x(t)
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Compare the result obtained in part (b) of Problem 39 with the solution obtained using variation of

Question:

d?x + w?x = F, cos yt, x(0) = 0, x'(0) = 0 dr? %3D Fo (cos yt - cos wt). w? - y? is x(t)

Step by Step Answer:

In part b of Problem 39 we evaluated the limit of the solution obtained in part a as gamma approaches infinity Now we will compare that result with th...View the full answer

A First Course in Differential Equations with Modeling Applications

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