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March 15th, 2015, 10:27 AM  #1 
Newbie Joined: Mar 2015 From: Kent Posts: 8 Thanks: 1  Question regarding temperature inside a building
I have spent 2 hours trying to answer this question to come to the conclusion that maybe not enough information is given in the question? Any help would be greatly appreciated. (Please see attachment). Thanks in advance 
March 15th, 2015, 11:09 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs 
I have deleted the second duplicate thread which was missing the attachment, and moved the original here. If the outside temperature is $M(t)$ and the inside temperature is $T(t)$, then by Newton's Law of Cooling, we may write the following IVP from the information given in the problem for part a): $\displaystyle \frac{dT}{dt}=k(10T)=k(T+10)$ where $T(0)=20,\,T(1)=15$ The ODE in the IVP is separable. Can you first solve the ODE? Then we can use the given points on the temperature curve to determine the constant of integration and the constant $k$. 
March 15th, 2015, 01:00 PM  #3  
Newbie Joined: Mar 2015 From: Kent Posts: 8 Thanks: 1  Quote:
 

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building, differential, inside, question, temperature 
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