Using the Laplace transform and the inverse transform, obtain the response of the system(in the time domain) to the unit step in case of zero initial conditions: y(0)=0, \dot{y}(0)=0, \text { and } u(t) = 1 y(t)=2-2 e^{-t}-2 t e^{-t} \begin{array}{l} 2\\ y(t)=2-2 e^{-t}-2 t^{2} e^{-t} \end{array} \begin{array}{l} 0\\ y(t)=1-2 e^{-t}=2 t e^{-t} \end{array} y(t)=1-1 e^{-t}-1 t e^{-t}

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