5. In the investigation of a homicide or accidental...

5. In the investigation of a homicide or accidental death, it is often important to estimate the time of death. From the experimental observations, it is known that the surface temperature of an object changes at a rate proportional to the difference between the tem- perature of the object and that of the surrounding environment or ambient temperature. This is known as Newton's law of cooling. Suppose that at time t = 0 a corpse is discovered and its temperature is measured to be 85°F and that two hours later its is 74°F. It was measured the ambient temperature at 68°F and remained almost constant. We assume that at the time of death, the body temperature was at the normal value of 100°F. What is the expression that describes the surface temperature at any time?

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Hello, can you help me step by step in this problem of Differential Eq.?? In the investigation of a homicide or accidental death, it is often important to estimate the time of death. From the experimental observations, it is known that the surface temperature of an object changes at a rate proportional to the difference between the tem- perature of the object and that of the surrounding environment or ambient temperature. This is known as Newton's law of cooling. Suppose that at time t=0 a corpse is discovered and its temperature is measured to be 85deg F and that two hours later its is 74deg F. It was measured the ambient temperature at 68deg F and remained almost constant. We assume that at the time of death, the body temperature was at the normal value of 100deg F. What is the expression that describes the surface temperature at any time? 5. In the investigation of a homicide or accidental death. it is often important to estimate the time of death. From the experimental observations, it is known that the surface temperature of an object changes at a rate proportional to the difference between the tem- perature of the object and that of the surrounding environment or ambient temperature. This is known as Newton's law of cooling. Suppose that at time t = 0 a corpse is discovered and its temperature is measured to be 85'F and that two hours later its is 74'F. It was measured the ambient temperature at 68'F and remained almost constant. We assume that at the time of death, the body temperature was at the normal value of 100'F. What is the expression that describes the surface temperature at any time?

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