
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
Find the ordinary equation of the parametric equation $\begin{cases} & x={{\mathrm{e}}^{t}}+{{\mathrm{e}}^{-t}} \\ & y=2({{\mathrm{e}}^{t}}-{{\mathrm{e}}^{-t}}) \end{cases}$, where $t$ is the parameter.

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