Now that we have a feel for the state of the circuit in its steady state, let us obtain the expression for the current in the circuit as a function of time. Note that we can use the loop rule (going around counterclockwise): E−vR−vL=0. Note as well that vR=iR and vL=Ldidt. Using these equations, we can get, after some rearranging of the variables and making the subsitution x=ER−i, dxx=−RLdt. Integrating both sides of this equation yields x=x0e−Rt/L. Use this last expression to obtain an expression for i(t). Remember that x=ER−i and that i0=i(0)=0. Express your answer in terms of E, R, and L. You may or may not need all these variables. Use the notation exp(x) for ex.