Question: (a) Find the function (i) ( (t) ) that satisfies the following differential equation and initial condition: [ 500 frac{d i(t)}{d t}+100000 i(t)=0, i(0)=10 mathrm{~mA}

(a) Find the function $i$ ( $t$ ) that satisfies the following differential equation and initial condition:

\[
500 \frac{d i(t)}{d t}+100000 i(t)=0, i(0)=10 \mathrm{~mA}
\]

(b) Use MATLAB's dsolve to validate your answer.

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