Using the Laplace transform and the inverse transform, obtain the response of the system (in the time domain) for the following initial conditions and input: y(0)=3, \dot{y}(0)=0, \text { and } u(t)=0 y(t)=3 e^{-t}+3 t e^{-t} y(t)=e^{-t}+3 t e^{-t} O y(t)=3 e^{-t}+t e^{-t} O y(t)=3 e^{-t}-3 t e^{-t}

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6