November 28th, 2008

Math Detective
Math! Detective problem! need help please!?

A detective finds a murder victim at 9 o'clock, the temperature the body is measured at 90.3F. An hour later, the temperature is 89.0F. The room temperature was maintained at a constant 68F. Assuming the body cools at a rate that obeys the law of cooling Newton is that the rate of cooling is proportional to the difference between body temperature and room temperature, the differential equation that models this situation is dy / dt = k (y – 68) where y is the body temperature at time t. A. Solving this differential equation subject to given conditions. Find the value of all constants. B. Assuming that the body temperature of 98.6F this person was at the time of death, what time does the murder occur?

Sorry, I'm just in the 6th level, I do not know differential equations yet, sorry

Math Detectives Part 1


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