# Math Help - exponential differencial equation

1. ## exponential differencial equation

Coroner arrives at murder at 12:00 pm and body temp is 94.6, one hour later the temp is 93.4. The room temperature is 70 degrees. When was the murder committed?

I am assuming its some form of exponential decay but I can't set the formula up can someone please help me work through this.

2. Originally Posted by helpless13
Coroner arrives at murder at 12:00 pm and body temp is 94.6, one hour later the temp is 93.4. The room temperature is 70 degrees. When was the murder committed?

I am assuming its some form of exponential decay but I can't set the formula up can someone please help me work through this.
Newton's law of cooling:

The rate of change of temprature is proportional to the difference between the ambient temprature and the current temprature:

$\frac{dT}{dt}=k(T_{amb}-T)$

RonL