Classify the system as to stabilty and time-invariance

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Reference no: EM13268391

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.

Reference no: EM13268391

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