Question

(Differential Equations) A dead body was found in a house where he inside temperature was a...

(Differential Equations)

A dead body was found in a house where he inside temperature was a constant 70 degrees Fahrenheit. At 12:00pm, the coroner arrived and measured the temperature of the body to be 85 degrees. One hour later, the temperature of the body had dropped to 80 degrees.

a. Create a differential equation to model the temperature of the body as a function of time.

b. Solve the IVP consisting of the DE in part a, and he intial condition T(0)=85.

c. Use the additional boundary condition T(1)=80 to determine the temperature decay constant (the value of k).

d. Using the assumption that the temperature of the body at be time of death was 98.6 degrees, use this model to estimate the time of death.
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Answer #1

de= de k(70-B) uda knauo): 98.6 OCT)-8s (10-0) 10-6 ド乎a Blo)-98.6 thuso 85 70+28, e ex1S 28-6 28.6 28 6 -к- 10 28. 6 8. 6 0b) 3% 1 SLENOVO-ide み/nally .by TIS tudtung (b) inlo) 28. 6 95 (35s61-59 28.6 T- Jn 1.5g hauro mano 1haug

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