
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
Determine the order of the differential equation:

1) \( y'' - 3y' + 2y - 4 = 0 \)
2) \( x(1 + x)y' - (1 + 2x)y - (1 + 2x) = 0 \)
3) \( y^{\mathrm{IV}} - 16y'' = 0 \)
4) \( y''' - 6y'' + 11y' - 6y = 0 \)

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