8y" +45y" 128y' - 720y = 5e-5t y(0) = 0 y' (0) = 0 y" (0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use y for the Laplace transform of y. (not Y(s)). Therefore Y = 34+ Taking the inverse Laplace transform we get y = 1 $44 + = $+5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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transform the  differenial equation 

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8y" +45y" 128y' - 720y = 5e-5t
y(0) = 0
y' (0) = 0
y" (0) = 1
into an algebraic equation by taking the Laplace transform of each side. Use y for the Laplace transform of y. (not Y(s)).
Therefore
Y =
34+
Taking the inverse Laplace transform we get
y =
1
$+4
+
=
$+5
Transcribed Image Text:8y" +45y" 128y' - 720y = 5e-5t y(0) = 0 y' (0) = 0 y" (0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use y for the Laplace transform of y. (not Y(s)). Therefore Y = 34+ Taking the inverse Laplace transform we get y = 1 $+4 + = $+5
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