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 andq(0)= 5 and q^\prime(0)=9 then

q(t) =

Write down the differential equation modeling the circuit using E for the impressed voltage.

If the voltage is constant and

You can earn partial credit on this problem.