I have this one problem dealing with Newton's law of cooling:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{{dT}}{{dt}} = - k(T - A)[/tex]

I'm basically trying to determine at what time someone died! The info I have is that at time of death, the temperature was 98.6 degrees, at 10 AM it was at 92 degrees, and at 2PM it was at 86 degrees. The surrounding temperature, A, was 78 degrees and constant. Unfortunately, the book does not give an example as to how this DE works.

I have a feeling I need to do this:

[tex]\frac{{dT}}{{(T - 78)}} = - kdt[/tex]

And integrate it… but I'm not sure how I would do that… especially with it just being k*dt. Any suggestions?

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# Newtons cooling law DE, mathematical approach

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