A detective finds a murder victim at 9am. The temperature of the body is measured at 90°F. One hour later, the temperature of the body is 89°F. The temperature of the room has been maintained at a constant 68°F. a) Assuming the temperature, T, of the body obeys Newton's Law of cooling, write a differential equation for T. b) Solve the differential equation to estimate the time the murder occurred. (Assume the temperature of a live body is 98°F.

A detective finds a murder victim at 9am. The temperature of the body is measured at 90°F. One hour later, the temperature of the body is 89°F. The temperature of the room has been maintained at a constant 68°F. a) Assuming the temperature, T, of the body obeys Newton's Law of cooling, write a differential equation for T. b) Solve the differential equation to estimate the time the murder occurred. (Assume the temperature of a live body is 98°F.

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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