(adsbygoogle = window.adsbygoogle || []).push({}); differential equation! urgent!

1. The problem statement, all variables and given/known data

we have [tex]f'(x) = \frac{1}{x^2 + f(x)^2}[/tex]

and i need to show that [tex]|f(x)| \leq \frac{5 \pi}{4}[/tex] when [tex]x \geq 1[/tex]

2. Relevant equations

3. The attempt at a solution

i know this has something to do with arctan, (by the looks of f'(x), it looks similar to arctan derivative) but i really don't know how to attempt this. help pls thanks!

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# Homework Help: Differential equation! !

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