An object with an initial temperature of 150°C is immersed in a fluid which is held at a temperature of 20°C. After 15 minutes the temperature of the object has dropped to 80°C . Write down the differential equation associated with Newton's law of cooling for this situation. Solve the equation using the given initial conditions. Then determine the temperature of the object after 20 and 30 minutes.
An object with an initial temperature of 150°C is immersed in a fluid which is held at a temperature of 20°C. After 15 minutes the temperature of the object has dropped to 80°C . Write down the differential equation associated with Newton's law of cooling for this situation. Solve the equation using the given initial conditions. Then determine the temperature of the object after 20 and 30 minutes.
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Transcribed Image Text:An object with an initial temperature of 150°C is immersed in a fluid which is held at a temperature
of 20°C. After 15 minutes the temperature of the object has dropped to 80°C . Write down the
differential equation associated with Newton's law of cooling for this situation. Solve the equation
using the given initial conditions. Then determine the temperature of the object after 20 and 30
minutes.
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