When an RLC-circuit is connected to a constant voltage E at time t=0, the current I in the circuit can be solved from the differential equation

Ld^2I/dt^2+RdI/dt +I/C=0 Where resistance R, inductance L and capacitance C are constants.

Solve the equation with the initial conditions I(0)=0 and dI/dt(0)=E/L and assuming that (R/2L)^21/LC<0 i(t)=