Consider the initial value problem for function y given by, y" – 4 y +4 y = 0, y(0) = 5, y (0) = 5. Part 1: Finding Y(s) (a) Find the Laplace Transform of the solution, Y(s) = . Y(s) = Σ Note: We are not asking for the solution y(t), but for the Laplace Transform of the solution, Y(s). Part 2: Rewriting Y(s) Part 3: Finding y(t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the initial value problem for function y given by,
y" – 4 y +4 y = 0,
y(0) = 5,
y (0) = 5.
- Part 1: Finding Y(s)
(a) Find the Laplace Transform of the solution, Y(s) = L
Y(s) =
Σ
Note: We are not asking for the solution y(t), but for the Laplace Transform of the solution, Y(s).
Part 2: Rewriting Y(s)
Part 3: Finding y(t)
Transcribed Image Text:Consider the initial value problem for function y given by, y" – 4 y +4 y = 0, y(0) = 5, y (0) = 5. - Part 1: Finding Y(s) (a) Find the Laplace Transform of the solution, Y(s) = L Y(s) = Σ Note: We are not asking for the solution y(t), but for the Laplace Transform of the solution, Y(s). Part 2: Rewriting Y(s) Part 3: Finding y(t)
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