cup of coffee is made with boiling water at a temperature of 100°C in a room with ambient temperature 20°C. After 4 monites the coffee has cooled to 90°C a. What is the equation T(t) for the temperature of this coffee? b. What is the temperature of coffee after 8 minutes? c. Does the coffee cool more  the first 4 minutes or the second 4 minutes? Why does this make sense in term of the differential equation?

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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.