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Math 6410 • ODE

Fall 2016 • Question 10

Find the canonical form for the partial differential equation \begin{equation} x^2u_{xx}+2xyu_{xy}+y^2u_{yy}=xy^2u_x. \tag {4} \end{equation} What type of partial differential equation is this?

Raw LaTeX

Find the canonical form for the partial differential equation
\begin{equation}
  x^2u_{xx}+2xyu_{xy}+y^2u_{yy}=xy^2u_x.
  \tag{4}
\end{equation}
What type of partial differential equation is this?