Consider the linear time-invariant differential equation:
(d³y(t) ) /(dt³) - 7(dy(t) ) /(dt) - 6y(t) = u(t) + 4(du(t) ) /(dt) . We want to find, if possible, the initial conditions that give the natural response of the system as a solution. Which of the following conditions should be satisfied?
a) The initial conditions must be zero.
b) The initial conditions must be nonzero.
c) The initial conditions should be positive.
d) The initial conditions should be negative.