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Homework Help: Water drains from a tank. Write a differential equation.

  1. Jan 11, 2014 #1
    2. Water drains out of an inverted conical tank at a rate proportional to the depth y of water in the tank. Write a differential equation for y as a function of time.

    My answer was dy/dt = ky.

    This was from a weekly homework set where there were only 5 problems. I feel like I am missing something since my answer is too simple and it didn't take very much work. Am I missing something?
  2. jcsd
  3. Jan 11, 2014 #2


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    Yes, that's too simple. The rate at which the water drains is related to the rate of change of the volume of the tank.
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