It says find any solution y(x) of(adsbygoogle = window.adsbygoogle || []).push({});

xy' = 1 + y^2

I rearranged into seperable form to get

dy/(1+y^2) = dx/x

Integrated both sides to get

arctan y = lnx + C

then y(x) = tan(lnx + C)

Is this ok? I'm a little struck on find 'any' solution for this, not too sure how else I could have done it.

Perhaps I didn't do it correct?

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# Homework Help: 1st order differential equation

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