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8) Use the Laplace transform to solve the given initial-value problem. y' − y = 2 cos(4t),  y(0) =...

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Advance Math

8)

Use the Laplace transform to solve the given initial-valueproblem.

y' − y = 2 cos(4t),  y(0) = 0

y(t)=???

9)

Use the Laplace transform to solve the given initial-valueproblem.

y'' − 5y' = 8e4t −4e−t,    y(0) = 1, y'(0) = −1

y(t)=?

10)

Use the Laplace transform to solve the given initial-valueproblem.

y''' + 2y'' − y' − 2y = sin(4t),  y(0) =0,  y'(0) = 0,  y''(0) = 1

y(t)=?

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