
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
Given the parametric equations of curve $C$ are $\begin{cases} x= \sqrt{t}- \frac{1}{\sqrt{t}}, \\ y=3\left( t+ \frac{1}{t} \right) \end{cases}$ (where $t$ is the parameter, $t > 0$), find the ordinary equation of curve $C$.

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