1. Show that a system with exicitation x(t) and response y(t) described by
y(t)=u(x(t))
is nonlinear, time invariant, and stable.
2. 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.
3. Show that a system with exicitation x(t) and response y(t) described by
y(t)=x(t/2)
is nonlinear, time invariant, and noc asual.
4. A system is described by the differential equation ty'(t)-8y(t)=x(t). Classify the system as to linearity, time-invariance and stability.
5. A system is described by the equation y(t)= \(\int_{t/3}^{-\infty}\)x( \(\lambda\)) d