Question: A cup of coffee is heated to 100 degrees Centigrade at t = 0 minutes. The cup is placed in a refrigerator which is kept constant at 0 degrees Centigrade. Let u ( t ) denote the temperature of the coffee after t minutes.

1. Obtain the correct expression for u ( t ) by solving an appropriate differential equation.
2. If the temperature of the coffee is 80 degrees after 1 minute, find out how long it will take for the coffee to cool down to 10 degrees.

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