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Seperation of variables - first order PDE

  1. Mar 14, 2008 #1
    [SOLVED] Seperation of variables - first order PDE

    1. The problem statement, all variables and given/known data

    I have the expression X'(x)/X(x) = cx. How do I seperate the variables? It's the fraction on the left side that annoys me.

    I know that X'(x) = d(X(x))/dx, but I can't use this here?

    EDIT: Sorry for the mis-spelled title. It's "separation".
    Last edited: Mar 14, 2008
  2. jcsd
  3. Mar 14, 2008 #2


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    The variables are X and x and they are basically already separated. The left side is (1/X)dX/dx. Move the dx to right getting d(X)/X=cxdx and integrate.
  4. Mar 14, 2008 #3
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