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.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.