Question: Use the Laplace transform to solve the given initial-value problem. A. y' + 5 y = e 5 t , y (0) = 3 y

Use the Laplace transform to solve the given initial-value problem.

A. y' + 5y = e5t, y(0) = 3

y(t) =?

B. y'' + 2y' + y = 0, y(0) = 1, y'(0) = 1

y(t) = ?

C. y'' 6y' + 13y = 0, y(0) = 0, y'(0) = 7

y(t) = ?

D. y'' y' = et cos t, y(0) = 0, y'(0) = 0

y(t) = ?

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