Newton's Law of Cooling | First order differential equations | Khan Academy

Another separable differential equation example.

Missed the previous lesson?

Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.

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[ChrisBandyJazz]

Until he said cup of tea at 3:47, I thought it was an egg.

I'm sorry

[arnaumas]

I thought the cup of tea was a fried egg

[MrYang]

I did not even know this law existed, I love khan academy!

[robertpasse]

Very well broken down and explained. I just remembered that this helped me to get 87% in my 2nd year maths exam, so thank you very much for that!!

[narekkazarian]

I find this extremely interesting since it's so applicable to every day life. Mathematics is mind blowing. 

[Jacob-tj]

no matter how you set up this equation, you always get the correct answer so don't struggle on signs

[stenlly]

Yeah, me too, thought it was "law of cooking" and a fried egg.

[ritikgupta]

If we want a positive k, then instant of T-Ta, we can use Ta-T.

[allison]

Hi there! Thanks for the video. I'm curious, how can we apply this law to global warming?

[mr.orca]

if we were to take the derivative of the derived functions at the end would it equal the original one? is it even supposed to equal the original one?

[alexwin]

1:58 If you dont like to think about a negative k, well then just put a negative in front of the k!

[sshirish]

I love Khan explanation is always so simple and easy to :-) :-)

[jenkinsj]

if I can figure out the value of k and c using initial conditions and if I change Ta, will k be the same for the two Temperature Profiles?

[thabangdela]

Awesome!!! But the changing of colours is disturbing and annoying. The idea is good, I've seen it a lot but you are very overdoing it. Keep up the great work

[Smokie_bear]

I learned this without differential equations. I think it's the same general equation.T = ( initial T - room T ) e^kt, + Room T

[RohitSingh-pqss]

one more this law applicable...for conduction radiation or plzz

[saminm]

That is assuming that the rate of change in temp is linearly proportional to the difference in temp. You didn't mention why that is the case, it could just as well be the difference in temp to the third power, for instance, couldn't it?

[saminm]

The constant in the final result is dependent on the initial temp of the object, correct?

[hey]

please set keybinds for changing colours

[omololusalami]

Rate of radioactive decay uses this model