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Change of variables in differential equation
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...- michalpp
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- Forum: Calculus and Beyond Homework Help
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Change of variables in differential equation
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}...- michalpp
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- Change Change of variables Differential Differential equation Variables
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- Forum: Calculus and Beyond Homework Help