I've found the answer to this problem in a book by B.P. Demidowich - it says
\frac{\partial w}{\partial v}=0
So this means that I need a proof that
(1-x^2-y^2-z^2-2xyz)\neq 0
, or do I still miss something...
Homework Statement
I have to transform the following equation using variables (u,v,w(u,v))=(yz-x,xz-y, xy-z):
(xy+z)\frac{\partial z}{\partial x}+(1-y^2)\frac{\partial z}{\partial y}=x+yz.
Homework Equations
chain rule:
\frac{dw}{dx} = \frac{\partial w}{\partial u}...