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Homework Help: Solving Laplace Eqn by Separation of vbls

  1. Mar 14, 2010 #1
    Okay, I'm stumped at what seems like a very simple mathematical step

    I start with
    laplace1.png

    Then, the next step is
    laplace2.png

    I see what changed, but I don't understand exactly what happened. Can someone please explain? Thanks in advance!
     
  2. jcsd
  3. Mar 14, 2010 #2

    Born2bwire

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    Science Advisor
    Gold Member

    They just applied the product rule:

    [tex] \frac{\partial}{\partial x} \left(f(x)g(x)\right) = g(x) \frac{\partial f(x)}{\partial x} + f(x) \frac{\partial g(x)}{\partial x} [/tex]
     
  4. Mar 14, 2010 #3
    *facepalm*

    Thanks. Also, just realized this is in the wrong forum. I'm on a roll...
     
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