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)). So -10s Y: = === ☐ 8+0 and y(t) = + -2 82+k2 + s-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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11
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)).
So
-10s
Y:
=
===
☐ 8+0
and y(t) =
+
-2
82+k2
+
s-1
Transcribed Image Text: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)). So -10s Y: = === ☐ 8+0 and y(t) = + -2 82+k2 + s-1
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