A radio uses an LRC loop series circuit consisting of an inductor, resistor, and capacitor to tune radio stations. For this problem $L = 1, R = 5, C = 8$.
Write down the differential equation modeling the circuit using E for the impressed voltage.
$=0$


Note: Use the prime notation for your derivatives, not Leibniz. For example, the derivative of a function f would be written as $f^\prime$. Use q for the dependent variable, t for the independent variable.