Solve the initial value problem below using the method of Laplace transforms. int, y( 7 ) = 1. y' ( 17 ) = 0 2 2 y'' - 6y' +8y=-7 cost-5 sint, y

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Subject: algebra 

Solve the initial value problem below using the method of Laplace transforms.
(7)
2
π
y'' - 6y' + 8y = -7 cost-5 sin t, y
2
= 1, y'
y(t) =
(Type an exact answer in terms of e.)
= 0
Click here to view the table of Laplace transforms.
Click here to view the table of properties of Laplace transforms.
Transcribed Image Text:Solve the initial value problem below using the method of Laplace transforms. (7) 2 π y'' - 6y' + 8y = -7 cost-5 sin t, y 2 = 1, y' y(t) = (Type an exact answer in terms of e.) = 0 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.
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