Transform the differential equation y" +10y" - 25y' - 250y=9e-t 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 = Taking the inverse Laplace transform we get y = EL

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Transform the differential equation
y""+10y" - 25y' - 250y=9e-t
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 =
+
Taking the inverse Laplace transform we get
y =
43
Transcribed Image Text:Transform the differential equation y""+10y" - 25y' - 250y=9e-t 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 = + Taking the inverse Laplace transform we get y = 43
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