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$$ ZILLDIFFEQ$107\mathrm{.}5\mathrm{.}001.$EP$.$

Consider the following initial$-$value problem.

$y^{\text{'}}-4y=(t-5),y(0)=0$

Find the Laplace transform of the differential equation. $($Write your answer as a function of $s.)$

$L\{y\}=$

$$

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

$y(t)=$hat$(n{)}_{}$

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