10. From Newton's law of cooling, the boiled egg submersed in water in the diagram below will cool according to d T = -0. 1(T – a), T(0) = 100 °C. Solve this differential equation and express T in terms of a. Do not use the dt integrating factor method. Present your solution with T as the subject. Use your solution to solve the following: If after t = 10 time units this egg cools to T = 2a°C, what was the value of a (a is the temperature of the water in the glass which is assumed to have remained constant)?
10. From Newton's law of cooling, the boiled egg submersed in water in the diagram below will cool according to d T = -0. 1(T – a), T(0) = 100 °C. Solve this differential equation and express T in terms of a. Do not use the dt integrating factor method. Present your solution with T as the subject. Use your solution to solve the following: If after t = 10 time units this egg cools to T = 2a°C, what was the value of a (a is the temperature of the water in the glass which is assumed to have remained constant)?
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Transcribed Image Text:10. From Newton's law of cooling, the boiled egg submersed in water in the diagram below will cool according to
d T
= -0. 1(T – a), T(0) = 100 °C. Solve this differential equation and express T in terms of a. Do not use the
dt
integrating factor method. Present your solution with T as the subject.
Use your solution to solve the following: If after t = 10 time units this egg cools to T = 2a°C, what was the value of
a (a is the temperature of the water in the glass which is assumed to have remained constant)?
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