According to Newton's law of Cooling, if a body with temperature T1, is placed in surroundings with temperature T0, different from that of T1, the body will either cool or warm to temperature T(t) after t minutes, where T(t)=T0+(T1-T0)e-kt. A cup of coffee with temperature 155oF is placed in a freezer with temperature 0oF. After 10 minutes, the temperature of the coffee is 69oF. Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes.After 20 minutes the coffee will have a temperature of ______oF. (Round to the nearest integer)

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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.