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Flex Your Mathletic Muscles Impress the Ladies

  1. Jun 29, 2003 #1
    A few days ago in the physics board, we encountered the following differential equation of the form:

    y' = k * y^(1/2).

    It's been a long time since I've taken a class in the techniques of solving differential equation, and I can't remember off-hand how to solve this problem. Rather than research the method for solving this problem myself, I thought I'd give you dudes a chance to impress all the beautiful ladies on these boards (e.g. Entropia, Kerrie, Galatea, Kat, Monique, Saint, etc.).

    eNtRopY

    P.S. If you are a lady, and I have forgotten you, I'm sorry... I don't have a very good memory for names.
     
    Last edited by a moderator: Jun 29, 2003
  2. jcsd
  3. Jun 29, 2003 #2

    Hurkyl

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    In other words, you're lazy and you want us to do your work for you. :smile:

    This equation is seperable:

    dy/dx = k * y^(1/2)

    y^(-1/2) * dy = k * dx
     
  4. Jun 29, 2003 #3
    Lazy... or too busy?
    Anyway,

    y = (k*x/2 + C)^2

    Thanks... I don't know why I didn't see that right away. I guess I should be embarrassed.

    eNtRopY
     
    Last edited by a moderator: Jun 29, 2003
  5. Jun 29, 2003 #4
    You forgot to add a constant before squaring.
     
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