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Solving differential equation

  1. Mar 28, 2015 #1
    What is the general method for solving a differential equation of
    the form

    \begin{equation}
    \frac{\partial^{2}z}{\partial x^{2}}+\frac{\partial^{2}z}{\partial y\partial x}=C\end{equation}

    where C is a constant.
     
  2. jcsd
  3. Mar 28, 2015 #2

    mfb

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    2016 Award

    Staff: Mentor

    You can define $$w=\frac{\partial z}{\partial x}$$That simplifies your equation. Defining a=x+y and b=x-y and rewriting the equation in terms of those should make it easier again. Looks like there is a lot of freedom in the solution with just this condition. z can be recovered by integration later.
     
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