
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The linear stationary dynamic system described by the equation $Y^{\prime}(t) + 2Y(t) = 5 X^{\prime}(t) + 6 X(t)$ receives a stationary random function $X(t)$ with an expected value $m_{x} = 5$. Find the expected value of the random function $Y(t)$ at the output of the system in the steady state (after the transient process has decayed).

Present the answer in LaTex format: \boxed{Your answer}
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