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)
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
100%
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F233ff355-ddf1-4be3-9c02-99bbfe1eaa9c%2F7adcf76d-91a1-412a-ab86-505b54d50320%2Fnrhznvp_processed.jpeg&w=3840&q=75)
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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