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lab01.desc - LAB #1 CSI - Time of Death Goal: Approximate...

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LAB #1 CSI - Time of Death Goal : Approximate parameters in a differential equation using calculus; approximate the solution of a differential equation using direction fields; solve the differential equation; compare approximate solutions to true solutions. Required tools : dfield ; separable differential equations. Discussion You are a forensic expert with the Lafayette PD. You arrive at a crime scene at 12 midnight, finding a body laying on the floor. It is your job to determine the time of death. You immediately measure the body temperature, finding it to be 76 . 4 . You also note that the thermostat in the room is set to 70 . Your idea is to extrapolate backwards in time to determine when the body temperature was last 98 . 6 . You reason that the closer the body temperature gets to room temperature, the slower the body cools. This suggests that the body temperature T satisfies a differential equation of the form dT dt = - k ( T - 70) ( * ) where k
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lab01.desc - LAB #1 CSI - Time of Death Goal: Approximate...

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