Hi, I need to find out what the largest interval in which the given intial value problem is certain to have a unique solution. I don't really know how to approach this problem though, I have a theorem on existence and uniquness of solutions but I'm finding it hard to make sense of it. I've got quite a few problems to have a look at, an example would be;(adsbygoogle = window.adsbygoogle || []).push({});

xy[tex]^{''}[/tex] +4y = x, y(2)=1, y[tex]^{'}[/tex](2)=2

Trying to make sense of the theorem I think the answer would be that the interval must be greater than equal to 1, but this is probably complete rubbish.

Any help would be great! Thanks

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# The largest interval for which a certain solution is unique

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