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If a mod sees this, please delete the topic; I posted it in the wrong section.

  1. Mar 24, 2009 #1
    1. The problem statement, all variables and given/known data

    The differential equation that models the volume of a raindrop is [tex]\frac{dy}{dt} = kv^{2/3}[/tex] where [tex]k = 3^{2/3}(4 \pi)^{1/3}[/tex]

    A) Why doesn't this equation satisfy the hypothesis of the Uniqueness Theroem?
    B) Give a physical interpertation of the fact that solution to this equation with the initial condition v(0) = 0 are not unique. Does this model say anything about the way raindrops begin to form?

    2. Relevant equations



    3. The attempt at a solution

    A) The equation doesn't satisfy the hypothesis Uniqueness Theroem because when v = 0, the equation's derivative does not exist.

    B) At time t = 0, the raindrop does not have volume, but as t increases, it's volume increases as well.

    Am I correct for both parts
     
  2. jcsd
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