Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' -7y' +12y = 6te³t, y(0) = 2, y'(0) = -6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = 6s³-84s² +342s - 426 (s-3)³(s-4)

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.
y'' - 7y' +12y=6te³t, y(0) = 2, y'(0) = -6
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Y(s) =
6s³-84s² +342s - 426
(s-3)³ (s-4)
Transcribed Image Text:Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y'' - 7y' +12y=6te³t, y(0) = 2, y'(0) = -6 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(s) = 6s³-84s² +342s - 426 (s-3)³ (s-4)
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