(a) Show that the solution of the initial-value problem d²x + w²x = Focos yt, x(0) = 0, x'(0) = 0 di² is x(1) = Fo - Y (cos yt- cos wt).
(a) Show that the solution of the initial-value problem d²x + w²x = Focos yt, x(0) = 0, x'(0) = 0 di² is x(1) = Fo - Y (cos yt- cos wt).
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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Show the complete solution for this force vibration without damping equation
Transcribed Image Text:(a) Show that the solution of the initial-value problem
d²x
+ w²x = Fo cos yt, x(0) = 0, x'(0) = 0
dt²
is
x(1)
=
Fo
(cos yt
y
w²
-
cos wt).
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