# Newton's law of cooling relating to differential equations

Not what you're looking for? Search our solutions OR ask your own Custom question.

At 10:00 AM, an object is removed from a furnace and placed in an environment with a constant temperature of 68 degrees. Its core temperature is 1600 degrees. At 11:00 AM, its core temperature is 1090 degrees. Find its core temperature at 5:00 PM on the same day.

Â© BrainMass Inc. brainmass.com March 6, 2023, 1:09 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/newton-law-cooling-relating-differential-equations-4615

#### Solution Preview

The setup is y=Ce^(kt)+68

Then C=1532 when you plug in t=0

Then you find k. ...

#### Solution Summary

Core temperature is found using Newton's Law of Cooling and differential equations.

$2.49