Given that the rate of change of the temperature of a dead body is modeled by the following differential equation: H' = -k(H – T) Given the following conditions: The initial temperature of the body is: Н (0) — 37.1°С The room temperature is: T = 24°C The final temperature of the body at time 4 is: Н(4) — 27.5° С Find the value of k.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the value of k
Given that the rate of change of the
temperature of a dead body is modeled by the
following differential equation:
H' = -k(H – T)
Given the following conditions:
The initial temperature of the body is:
Н (0) — 37.1°С
The room temperature is:
T = 24°C
The final temperature of the body at time 4 is:
H(4) = 27.5°C
Find the value of k.
Transcribed Image Text:Given that the rate of change of the temperature of a dead body is modeled by the following differential equation: H' = -k(H – T) Given the following conditions: The initial temperature of the body is: Н (0) — 37.1°С The room temperature is: T = 24°C The final temperature of the body at time 4 is: H(4) = 27.5°C Find the value of k.
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