Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 5, t<3 y"-9y g(t), y(0) = 2, y'(0) = 1, where g(t) = %3D t, t> 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.
5, t<3
y"-9y = g(t), y(0) = 2, y'(0) = 1, where g(t)
%3D
t, t> 3
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Y(s)=
(Type an exact answer in terms of e.)
Transcribed Image Text:Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 5, t<3 y"-9y = g(t), y(0) = 2, y'(0) = 1, where g(t) %3D t, t> 3 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s)= (Type an exact answer in terms of e.)
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