Take the Laplace transform of the following initial value problem and solve for Y(s) = L{y(t)}: y" + 12y' + 17y= T(t) y(0) = 0, y'(0) = 0 Where T(t) = = 0 ≤ t < 1/2 [1-t, 1/2≤t

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Take the Laplace transform of the following initial value
problem and solve for Y(s) = L{y(t)}:
y" +12y + 17y= T(t)
y(0) = 0, y'(0) = 0
Where
T(t) =
=
St,
0 < t < 1/2
1-t, 1/2 ≤t<1'
T(t+1) = T(t).
Y(s) =
Graph of T'(t) (a triangular wave function):
f
Transcribed Image Text:Take the Laplace transform of the following initial value problem and solve for Y(s) = L{y(t)}: y" +12y + 17y= T(t) y(0) = 0, y'(0) = 0 Where T(t) = = St, 0 < t < 1/2 1-t, 1/2 ≤t<1' T(t+1) = T(t). Y(s) = Graph of T'(t) (a triangular wave function): f
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