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Use the Laplace transform to solve the following initial value problem: ?″+4?=8?(?−7) ?(0)=0,?′(0)=0 (Notation: write u(t-c)...

Use the Laplace transform to solve the following initial value problem:

?″+4?=8?(?−7)

?(0)=0,?′(0)=0

(Notation: write u(t-c) for the Heaviside step function ??(?)uc(t) with step at ?=?)

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