Hi! I think I have to ask this since I'm having health problems-(adsbygoogle = window.adsbygoogle || []).push({});

from Kreyszig, for xy'=-y how do you verify the solution y=h(x)=clnx by differentiating

y'=h'(x)=-clnx^2? I don't see how you get the x^2 term

also for ODEs the solution is on an open interval a<x<b but how does it include special cases of the intervals -inf<x<b, a<x<inf, -inf<x<inf; wouldn't the open interval a<x<b exclude -inf<x<b?

thanks very much!

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# Kreyszig ODE

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