An LRC circuit is set up with an inductance of 177 henry, a resistance of 1 ohm, and a capacitance of 7712 farad. Assuming the initial charge is 3 coulombs and the initial current is 5 amperes, find the solution function describing the charge on the capad any time. What is the charge on the capacitor after a long period of time? Write the function that describes the charge on the capacitor at any time. q(t) =| (Type an exact answer.)

An LRC circuit is set up with an inductance of 177 henry, a resistance of 1 ohm, and a capacitance of 7712 farad. Assuming the initial charge is 3 coulombs and the initial current is 5 amperes, find the solution function describing the charge on the capad any time. What is the charge on the capacitor after a long period of time? Write the function that describes the charge on the capacitor at any time. q(t) =| (Type an exact answer.)