Word Count : 198

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The given difference equation is: \[ y_{k+2} - 4y_{k+1} + 4y_k = 0, \quad k=0,1,\ldots \] ### Step 1: Solve the Characteristic Equation The associated characteristic equation is: \[ r^2 - 4r + 4 = 0 \] Factorizing: \[ (r - 2)(r - 2) = 0 \] \[ r ____ _________ _____ _________ ____ _________ ___ _________ _____.
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