The unit step function $\mu[n]$ is defined as:
$\mu[n] = \begin{cases} 1, & n \ge 0 \\ 0, & n < 0 \end{cases}$
Therefore, the signal $y[n]$ can be written as:
$y[n] = \begin{cases} 5(\frac{1}{2})^n - 3(\frac{1}{4})^n, & n \ge 1 \\ 0, & n < 0 \\ 5(\frac{1}{2})^0 -
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