The general solution of the partial differential equation xzp-yzq=y^2-x^2 (partial z/partial x=p, partial z/partial y=q) is:

Q47Section II (Mathematics)47 of 145

Lagrange's method: $xy$ and $x^2+y^2+z^2$ are first integrals

The general solution of the partial differential equation $xzp-yzq=y^2-x^2$ $\bigl(\frac{\partial z}{\partial x}=p$ , $\frac{\partial z}{\partial y}=q\bigr)$ is:

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