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Is the final value theorem an appropriate way to deduce if a specific differential equations converges or diverges?

- Thread starter heatgrad
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Is the final value theorem an appropriate way to deduce if a specific differential equations converges or diverges?

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I've tried it out for myself a few times and my own results are...inconclusive. But I'm kind of getting back into this method of dealing with ODEs after letting it lie for over a year. And finding literature about it largely proves unfruitful, especially because describing the information I want includes very common terms or too many terms, causing a tidal wave of unwanted results.

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