Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 1, t<3 y" - 9y = g(t), y(0) = 3, y'(0) = 6, where g(t) = t, t>3

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Chapter2: Second-order Linear Odes
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Laplace transforms

Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below.
1, t<3
y" - 9y = g(t), y(0) = 3, y'(0) = 6, where g(t) = .
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. 1, t<3 y" - 9y = g(t), y(0) = 3, y'(0) = 6, where g(t) = . 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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