Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I found this problem on web and though we haven't encountered this kind of problem in class I wonder how could it be done. Here it is:

Guess solution of the problem

[tex]

x' = t + \frac{x}{1+x^2},\mbox{ x(0) = 0}

[/tex]

ie. find functions [itex]\omega(t) \leq x(t) \leq \phi(t)[/itex] for each [itex]t[/itex] from domain of solution.

Well, I have no clue. I have the results here if anyone tries...

Thank you for hints!

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# Guessing the solution

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