The dynamic model for a process is given by d2y/dt2+6dy/dt+8y=3u(t) where u(t) is the input function and y(0) and dy/dt(0) are both zero.What are the functions of the time (e.g.,e−t/τ) in the solutionfor each of the following cases?(a)u(t)=be−2t (b) u(t)=ct b and c are constants.Note:You do not have to find y(t) in these cases. Just determine the functions of time that will appear in y(t).

The dynamic model for a process is given by d²y/dt²+6dy/dt+8y=3u(t) where u(t) is the input function and y(0) and dy/dt(0) are both zero.What are the functions of the time (e.g.,e−t/τ) in the solutionfor each of the following cases?(a)u(t)=be−2t (b) u(t)=ct b and c are constants.Note:You do not have to find y(t) in these cases. Just determine the functions of time that will appear in y(t).