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Response of Discrete Systems to Periodic Excitations

Given the difference equation:

( in python code) determine the representation in block diagrams and plot the input and output of the system, for an input given by

\( y[n]-2 y[n-1]=4 x[n-1] \)
\( x[n]=\delta_{4}[n]-\delta_{4}[n-2] \), para \( 0 \leq n \leq 7 \)

he difference equation you provided is a linear, time-invariant (LTI) system, which means that the output of the system depends linearly on the input