integrating factor produces d V.tlT dt (ItiT)= L e sm w t (2.1-13) Integration and manipulation yield VI . -LT sm wt- w cos wt I(t)= -------- + Ke- tiT (2.1-14) I 2 T2w The second term vanishes in time and is ignored in this analysis. The first term is simplified by the substitutions 1 T=K' cos > (2.1-15) -w