a.) Show that a system with exicitation x(t) and response y(t) described by
y(t)=x(t-5)-x(3-t)
is nonlinear, time invariant, and stable.
b.) Show that a system with exicitation x(t) and response y(t) described by
y(t)=x(t/2)
is nonlinear, time invariant, and nocasual.
c.) A system is described by the differential equation ty'(t)-8y(t)=x(t). Classify the system as to linearity, time-invariance and stability.
d.) A system is described by the equation y(t)= Intergral x(lamda)d(lamda) (from t/3 to infinte). Classify the system as to stabilty, time-invariance.