The input$-$output $(($I$)/($O$))$ equation for a dynamic system is given as $3$x$^()+2$x$^()+4$x$=$f$($t$),$ where f and x

denote the input and output, respectively. Assume that all initial conditions are zero.

a$.$f$($t$)$ and plot x$($t$)$ on a chart.

b$.$x$($s$)/($F$)($s$).$ Consider a unit step change in f$($t$)$ and plot x$($t$)$ on a chart.