
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
If the function $f(x)$ satisfies $f'(x)-f(x)=2xe^{x}$, where $e$ is the base of the natural logarithm, and $f(0)=1$, where $f'(x)$ is the derivative of $f(x)$, determine the range of values for $\frac{f'(x)}{f(x)}$ when $x > 0$.

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