dy 10 cos(kt), y(0) = 2 dt Use Y for the Laplace transform of y, (not Y(8)). = 2+10s/(s-1)(s^(2)+k^(2 So 10s Y s+ s2 + k2 S - 1 and y(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Take the Laplace transform of the IVP

dy
-y = 10 cos(kt), y(0) = 2
dt
Use Y for the Laplace transform of y, (not Y(s)).
2+10s/(s-1)(s^(2)+k^(2
%3D
So
10s
Y =
st
s - 1
82+ k²
and y(t) =
2.
Transcribed Image Text:dy -y = 10 cos(kt), y(0) = 2 dt Use Y for the Laplace transform of y, (not Y(s)). 2+10s/(s-1)(s^(2)+k^(2 %3D So 10s Y = st s - 1 82+ k² and y(t) = 2.
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