Required information

Consider $C=0\mathrm{.}5F$ for the circuit given.

Obtain an expression for $vd(t)$ valid for all $t>0.($Round the final answer to three decimal places.$)($Include a minus sign if necessary.$)$

The expression for $vd(t)$ valid for all $t>0$ is $+$ e

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${10}^{-4}{e}^{Et}V,$ where $C=s^{-1}$ and $E=s^{-1}.$