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A thermometer is placed outside. The initial temperature of the thermometer is 2◦C. After 1 minute,...

A thermometer is placed outside. The initial temperature of the thermometer is 2◦C. After 1 minute, the thermometer reads 5◦C. After 2 minutes, the thermometer reads 6◦C. What is the temperature outside? (Hint: Write the DE, solve it, use initial conditions, find expressions for C, e k and e 2k in terms of the temperature outside. Relate them and solve for the temperature outside.)

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