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Math Help - Diffy Q word problem

  1. #1
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    Diffy Q word problem

    A cool object is placed in a room that is maintained at a constant temperature of 20 C. The rate at which the temperature of the object rises is proportional to the difference between the room temperature and the temperature of the object. Let y = f(t) be the temperature of the object at time t, and give a differential equation that describes the rate of change of f(t).
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  2. #2
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    Ok. Let's break this up into pieces...

    The rate at which the temperature of the object rises: \frac{dy}{dt}

    Room temperature: \sigma_{room}

    The difference between the room temperature and the temperature of the object: \sigma_{room} - y

    Proportion: k

    All together now: \frac{dy}{dt}=k(  \sigma_{room} - y)

    Does the process that I used to generate this equation make sense to you? If not, ask me a question. I'll help.



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  3. #3
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    perfect sense!!!
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