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Total differential

  1. Aug 30, 2009 #1
    1. The problem statement, all variables and given/known data

    I'm kind of confused with the total differential, because when i integrate it i get a contradiction, so i wonder if anyone could tell me what i'm doing wrong, please see the attachment to see my problem.
     
  2. jcsd
  3. Aug 30, 2009 #2

    rock.freak667

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    dz=(∂z/∂x)dx+(∂z/∂y)dy

    ∫dz=∫(∂z/∂x)dx+∫(∂z/∂y)dy

    which would give z(x,y)= z(x)+z(y) + constant
     
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