A radio uses an LRC loop series circuit consisting of an inductor, resistor, and capacitor to tune radio stations. For this problem $L = 56, R = 6, C = 6$.

Write down the differential equation modeling the circuit using E for the impressed voltage.
$=0$
If the voltage is constant and $q(0)= 5$ and $q^\prime(0)=9$ then
$q(t) =$