Let u(t) solve Let v(r) = u(-t) be its time reversal. (a) Write down the linear system

Question:

Let u(t) solve Let v(r) = u(-t) be its time reversal.
(a) Write down the linear system satisfied by v(t). Then classify the following statements as true or false. Explain your answers.
(b) If is asymptotically stable, then = Bv is unstable.
(c) If is unstable, then is asymptotically stable.
(d) If is stable, then is stable.