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Use the Laplace transform to solve the following initial value problem: ?″−3?′−18?=?(?−9) ?(0)=0, ?′(0)=0 (Notation: write...

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

?″−3?′−18?=?(?−9)

?(0)=0, ?′(0)=0
(Notation: write u(t-c) for the Heaviside step function ??(?)uc(t) with step at ?=?t=c.)

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