11. Find the solution of the initial value problem u" +u = F(t), u(0) = 0, u'(0) = 0, where F(t) = Fot, Fo(2π-t), 0, 0≤t≤π, π < t ≤ 2π, 2π
11. Find the solution of the initial value problem u" +u = F(t), u(0) = 0, u'(0) = 0, where F(t) = Fot, Fo(2π-t), 0, 0≤t≤π, π < t ≤ 2π, 2π
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 1YT
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Transcribed Image Text:11. Find the solution of the initial value problem
u" +u = F(t), u(0) = 0, u'(0) = 0,
where
F(t):
=
Fot,
0≤t≤n,
Fo(2π - t), π < t ≤ 2π,
2π <t.
0,
Hint: Treat each time interval separately, and match the solutions in
the different intervals by requiring u and u' to be continuous functions
of t.
In ea
16
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