Classify the system as to linearity and time-invariance

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Reference no: EM13268364

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
$\lambda$

Reference no: EM13268364

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