Ex$.180.$ Given R$=5$ Ohms, C$=15$ Farads, L$=6$ Henries, V$\_$in volts, and a switch $-$ all in series. The switch closes at t$=0.$ All initial values are zero. Notice that the type of input is not specified. Develop the DEQ where t is the independent variable, and V$\_$inductor is the dependent variable, and then take the Laplace Transform of the DEQ assuming zero initial conditions. Then develop the transfer function from the voltage input to the inductor voltage output, which can be written as: V$\_$inductor$($s$)/$V$\_$in$($s$)=($ Ds$^2+$ Es $+$ F $)/($ s$^2+$ As $+$ B $).$ Determine A$,$ B$,$ D$,$ E$,$ and F$.$ ans:$5$