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Newtons law of cooling  what is the general solution of dT/dt = -k(T-Ta)  K > 0 is constant  assuming constant ambient temperature and T > Ta using seperable techniques and b) (pictured)

Newtons law of cooling  what is the general solution of dT/dt = -k(T-Ta)  K > 0 is constant  assuming constant ambient temperature and T > Ta using seperable techniques and b) (pictured)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Newtons law of cooling 

what is the general solution of dT/dt = -k(T-Ta) 

K > 0 is constant 

assuming constant ambient temperature and T > Ta using seperable techniques

and b) (pictured)

Newton's law of cooling can be used by forensic scientists to approximate the time of death of a body. With TA = 18°C, To = 25°C, and (t₁, T₁) = (1 hour, 23°C), determine how many hours prior to to death occurred, assuming the body's temperature was 37°C at that moment.
Transcribed Image Text:Newton's law of cooling can be used by forensic scientists to approximate the time of death of a body. With TA = 18°C, To = 25°C, and (t₁, T₁) = (1 hour, 23°C), determine how many hours prior to to death occurred, assuming the body's temperature was 37°C at that moment.
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