Question: a linear time invariant system is defined by the difference equation y ( n ) = x ( n - 1 ) + x (

a linear time invariant system is defined by the difference equation
y(n)=x(n-1)+x(n-1)+x(n-2)
determine the impulse response of the system and sketch it
determine the output of the system when the input is x(n)=u(n)

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