Suppose the governing equation for a system is described by the IVP

where \(\delta(t)\) denotes the unit impulse. Recall that \(0^{-}\)refers to the time immediately prior to \(t=0\), and \(x\left(0^{-}\right)\)is the initial condition of \(x\). Determine the initial values of \(x\) and \(\dot{x}\), that is, \(x\left(0^{+}\right)\)and \(\dot{x}\left(0^{+}\right)\).

Transcribed Image Text:

2x+x+3x=8(t), x(0)=0, x(0)=0