A circuit with capacitance CCC and inductance LLL generates free damped oscillations with current varying with time as III =Ime−βt2sinωt.=I_{m} e^{-\beta t^{2}} \sin \omega t .=Ime−βt2sinωt. Find the voltage across the capacitor as a function of time, and in particular, at the moment t=0t=0t=0.