$[-/6\mathrm{.}66$ Points$]$

ZILLDIFFEQ$97\mathrm{.}3\mathrm{.}073.$

Recall from Section $5\mathrm{.}1$ that the differential equation for the instantaneous charge $q(t)$ on the capacitor in an $RC-$series circuit is

$R\frac{dq}{dt}+\frac{1}{C}q=E(t).$

Use the Laplace transform to find the charge $q(t)$ on the capacitor in an $RC-$series circuit subject to the given conditions. $q(0)=0,R=1,C=0\mathrm{.}5f,E(t)$ given in the figure below

$q(t)=,+(,)u(t-)$

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